Answers created by Narad T.
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If a radio and bulb ra h of resistance 3ohm are connected in series of 12volts battery the potential difference across each will be, a, 6v b, 3v c, 13v?
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What are the exact roots for #2costheta-sqrt3=0# in #0<=theta<2pi#?
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How do you divide #(2x^3 - 11x^2 + 12x + 9)/(x-3)#?
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If y=(x^2+14x+9)/(x^2+2x+3) then what is the range of y ?
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A ball is dropped from a tall building. The distance between floors in the block is constant. The ball takes 0.5 sec to fall from the 14th to the 13th floor and 0.3 sec to fall from the 13th floor to the 12th. What is the distance between floors?
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How can you use trigonometric functions to simplify # 9 e^( ( 17 pi)/12 i ) # into a non-exponential complex number?
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How do you verify #cos(x) / (1-sin(x)) = sec(x) + tan(x)#?
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What is the angle between #<2,9,-2> # and #<0,3?0 >#?
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How does this become 1? What trig identities am would I use to solve this?
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How to , using Taylor series approximation , estimate the value of π, when arctan(x) ≈ x-x^3/3+x^5/5-x^7/7 ?
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How do you normalize #(i+2j+2k)#?
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How do you solve the system #y=1/3x# and #y=1/3x-2# by graphing?
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How can i increased the power of a battery i.e if the battery is of 9 volt then how can i make it of 50 volt( without changing it ) ? is there any method or device?
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Objects A and B are at the origin. If object A moves to #(-4 ,-9 )# and object B moves to #(5 ,8 )# over #8 s#, what is the relative velocity of object B from the perspective of object A? Assume that all units are denominated in meters.
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A 320-g air track cart traveling at 1.25 m/s suddenly collides elastically with a stationary 270-g cart. What is the speed of 320-g cart just after the collision?
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How do I write an equation in general form of an ellipse with foci at (5,2) and (5, -10) and another point at (7,15)?
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How do you find the vertex and intercepts for #x – 4y^2 + 16y – 19 = 0#?
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A girl is riding her bike down the street at a speed of 3.5m/s[E] when she hears a fire truck with a siren emitting a sound with a frequency of 425Hz. The girl detects a frequency of 475Hz. The air temperature is 28°C. Is the fire truck moving towards or?
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What is the dot product of #<2,4,7># and #<1,-7,7 >#?
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Express #f(x) = (3x)/ [(1 +x)(1+2x^2)]# in partial fractions?
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How do you find the domain and range of #h(x) = log_3[x/(x - 1)]#?
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The First Term of a geometric sequence is 3,and The Third term is 4/3 find the fifth term?
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If a spring has a constant of #4 (kg)/s^2#, how much work will it take to extend the spring by #94 cm #?
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A container has a volume of #3 L# and holds #2 mol# of gas. If the container is expanded such that its new volume is #8 L#, how many moles of gas must be injected into the container to maintain a constant temperature and pressure?
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How do you long divide #(x^4 - 2x^2 + 4x + 1) ÷ (x^3-x^2-x+1)#?
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If #a/b=3/4, b/c=8/9, c/d=2/3# then #(ad)/(b^2)=?#
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How do you simplify by rotating the axes at the given equation of 16x^2 -24xy+ 9y^2-250y+1025= 0 ?
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To find the speed of a current. Scientist place a paddle wheel in the stream and observe the rate at which the it rotates. If the paddle wheel has a radius of 3.2 m and rotates 100 rpm how do you find the speed?
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A half-life of potassium -40 is 1.28X10^9 years. How much of 100.00 g sample will be left after 5.12X10^9 years? .
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One canned juice drink is 20% orange juice; another is 10% orange juice. How many liters of each should be mixed together in order to get 10L that is 16% orange juice?
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How many liters each of 15% acid and 33% acid should be mixed to get 120 L of 21% acid?
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Find the values of x in? # |x-1|-|2x-5|=2x#
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What is the rank of a matrix?
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How do you find the roots, real and imaginary, of #y=x^2 - (x-2)(2x-1) # using the quadratic formula?
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An object with a mass of #6 kg# is pushed along a linear path with a kinetic friction coefficient of #u_k(x)= 1+cotx #. How much work would it take to move the object over #x in [(pi)/12, (5pi)/8], where x is in meters?
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An object with a mass of #8 kg# is hanging from an axle with a radius of #32 m#. If the wheel attached to the axle has a radius of #16 m#, how much force must be applied to the wheel to keep the object from falling?
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Allison’s regular hourly rate of pay is $17.70. she is paid time and half for
all work on weekends and for time over 7.5 hours on weekdays. Calculate
her gross earnings for week in which she works 4.5,0,7.5,8.5,6,6,9 on
Saturday to Friday respectively?
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She earns basic salary of 15000 per month + a monthly commision based on sales. she recieves 1% commission for sales from 100000 to 250000 and 5% commission for sales above 250000. if she earns a total of 25000 on march, how much was her total sales?
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What is the standard form of the parabola with a vertex at (1,-2) and a focus at (1,3)?
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How do you find the range of the function: #f(t) = 1 + 0.9 e ^(-0.02t)#?
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How do you find the exact value of #costheta=3sin2theta# in the interval #0<=theta<2pi#?
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How do you solve #cosx-1=-cosx#?
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W = xy2 + x2z + yz2, x = t2, y = 9t, z = 9
(a) Find dw/dt using the appropriate Chain Rule?
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A model train, with a mass of #3 kg#, is moving on a circular track with a radius of #8 m#. If the train's rate of revolution changes from #1/4 Hz# to #1/7 Hz#, by how much will the centripetal force applied by the tracks change by?
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In a house, 5 bulbs of 40W, 4 bulbs of 1000 W and 750W refrigerator are used for 5 hours daily. Thn how much energy is consumed per day?
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How do you find interval of increasing, decreasing, concave up and down for #f(x) = 2x^3-3x^2-36x-7#?
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How do you find points of inflection and determine the intervals of concavity given #y=x^3-2x^2-2#?
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How do you find the first two nonzero terms in Maclaurin's Formula and use it to approximate #f(1/3)# given #f(x)=sqrt(x^2+1)#?
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How do you implicitly differentiate #-1=-y^2x-2xy+ye^x #?
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An approximate value for 0.8^1/2 is found by substituting x=0.1 into the first three terms of the binomial expansion for (1−2x)^1/2
The percentage error in this approximate value is ____ % (3 d.p.) ?
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What does the equation #(x-1)^2/4-(y+2)^2/9=1# tell me about its hyperbola?
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In the expansion of (1+3x)^−2
a) coefficient of x^2?
b) coefficient of x^3?
c) the values of x for which the expansion is valid are ___ < x<____?
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Find the gradient of the curve x=y+1/y at the point (2.5, 2). ?
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A model train with a mass of #4 kg# is moving along a track at #18 (cm)/s#. If the curvature of the track changes from a radius of #25 cm# to #14 cm#, by how much must the centripetal force applied by the tracks change?
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How do you solve #1/(log_2x-4)>1/(log_2x)#?
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How do you solve #(x+8)^2(x+5)(x+7)^2>=0# using a sign chart?
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The minimum value of #f(x,y)=x^2+13y^2-6xy-4y-2# is?
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A triangle has sides A, B, and C. Sides A and B are of lengths #7# and #5#, respectively, and the angle between A and B is #(7pi)/12 #. What is the length of side C?
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How do you write the equation of a hyperbola given center at the origin (0,0) and satisfies the given conditions: Foci F(0, -5) (0,5) and conjugate axis of length 4?
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Find curl F for the vector field at the point (9, -9, 7).
F(x,y,z) = x^2zi - 2xzj + yzk ?
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How do you solve the inequality #2abs(7-x)+4>1# and write your answer in interval notation?
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What is the projection of #< -2, 4, 7># onto #< -5, 9, -5>#?
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At what height can the water rise in the water pipes of a multi-store house, if the ground water pressure is #p# = #10^6# Pa. If the density of the water is # ρ = 1 000 "kg/m"^3 # ?
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How do you find#intarcsinx/sqrt(1-x^2)dx#?
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How do you express # (3x+5)/((3x+2)(2x+1) )# in partial fractions?
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2.08 grams of anhydrous barium chloride was dissolved in water to make 50.00mL of solution and then added to 50.00mL of an aqueous solution containing 2.84 g of anhydrous sodium sulfate. A white precipitate of barium sulfate formed. How do you...?
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A charge of #6 C# is passing through points A and B on a circuit. If the charge's electric potential energy changes from #36 J# to #15 J#, what is the voltage between points A and B?
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How do you use the important points to sketch the graph of #y = 6x^2 + 7x - 20#?
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The refractive index of the material of a double convex lens is 1.5 and its focal length is 5cm. If the radius of curvature of faces are equal, what is the radius of curvature?
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An ellipsoid has radii with lengths of #1 #, #3 #, and #2 #. A portion the size of a hemisphere with a radius of #2 # is removed form the ellipsoid. What is the volume of the remaining ellipsoid?
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Synthetic diamonds can be manufactured at pressures of #6.00 times 10^4# atm. If we took 2.00 liters of gas at 1.00 atm and compressed it to a pressure #6.00 times 10^4#
atm, what would the volume of that gas be?
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One side of a parallelogram is 18 cm long and its area is #153 cm^2#. What is the distance of the given side from its opposite side?
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Two vectors from an angle of 110°. One of the vectors is 20 units long and makes an angle of 40° with the vector sum of the two. Find the magnitude of the second vector and of the vector sum?
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How solve this matrix problem?
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If you have 1 litre of #H_2SO_4# at 96% w/w, what is the volume of water it contains?.
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How do you find the equation in standard form of the parabola with directrix x=5 and focus (11, -7)?
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After t minutes, the height h meters above the ground of the seat is given by #h=74+acosbt#. How do you show that the period of h is 25 minutes?
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What is the slope by using either substitution or elimination?
3x-5y=21
2x+y1
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How do you evaluate #f(x)=-4x^3+3x-5# at x=2 using direct substitution and synthetic division?
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How do you use synthetic division to divide #x^4+4x^3+6x^2+4x+1# by #x+1#?
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How do you solve #abs(x-2)<5x#?
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How do you sketch #(x-1)^2+(y+1)^2=4#?
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What is the equation of a parabola with a focus at (-2, 6) and a vertex at (-2, 9)? What if the focus and vertex are switched?
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If #f(x)=(1+x)(1+x^2)(1+x^4)(1+x^8)...oo# then #f(1/2)=#?
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Precalc help?!
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How do you solve #2\cdot 3^ { 10x + 6} = 18#?
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Find sin72 if you know the sines of 30 45 60?
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How to integrate #int xe^(x/2)dx# by parts?
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What is 2xy differentiated implicitly?
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How do you find the center and vertices of the ellipse #x^2/9+y^2/5=1#?
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How do you solve #sqrt (10x+6) - sqrt (x+1) = sqrt (8x-8) #?
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Let #\mathcal{E} = {[[1],[0]][[0],[1]]}# and #\mathcal{B} = {[[3],[1]][[-2],[1]]}#
The vector #vecv# relative to #\mathcal{B}# is #[vecv]_\mathcal{B}= [[2],[1]]# . Find #vecv# relative to #\mathcal{E}#
#[vecv]_\mathcal{B}#?
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How do you solve #3x+y<=6#?
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How do you find an equation of the parabola with vertex (-8,5) and directrix y=19/4?
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How do you divide #(-4x^3-15x^2-4x-12)/(x-4) #?
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Given 2 vectors #bbA = 4bbi + 3bbj # and #bbB =5bbi - 2bbj# how do you write an expression for the vector difference #bbA - bbB# using unit vectors?
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Poisson process can be used to represent the occurrence of structural loads over time. Suppose the mean time between occurrences of loads is 0.42 year. What is the probability that more than five loads occur during a 3 year period?
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How can you proof #int dx/(a^2-x^2)=1/(2a) log |(a+x)/(a-x)| + c# using #x = a sintheta# ?
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Hi Everyone :)
I don't really understand Taylor Polynomias and I was just looking for some help with determining the third taylor polynomial at x=0 for the function?
f(x)=#2*sqrt(5x+1)#
Thank you guys so much this is a huge help
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How do you express #(x^3-x^2-5x) /( x^2-3x+2)# in partial fractions?
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