Answers edited by Narad T.
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Question #71b42
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A triangle has vertices A, B, and C. Vertex A has an angle of #pi/8 #, vertex B has an angle of #(pi)/12 #, and the triangle's area is #8 #. What is the area of the triangle's incircle?
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An object with a mass of #60 g# is dropped into #800 mL# of water at #0^@C#. If the object cools by #30 ^@C# and the water warms by #15 ^@C#, what is the specific heat of the material that the object is made of?
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A projectile is shot from the ground at an angle of #pi/12 # and a speed of #7 /18 m/s#. Factoring in both horizontal and vertical movement, what will the projectile's distance from the starting point be when it reaches its maximum height?
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How do you solve #\frac { x + 3} { x - 5} < 1#?
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Question #f551a
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Question #5b166
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How do you solve using gaussian elimination or gauss-jordan elimination, #2x + y - z = -2#, #x + 3y + 2z = 4#, #3x + 3y - 3z = -10#?
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How do you use the quadratic formula to solve #2cot^2theta+3cottheta-4=0# for #0<=theta<360#?
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How do you find the domain and range of #f(x)=(x^2+5x-6)/(x^2-5x+6)#?
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How do you find all solutions of the equations #secx+tanx=1# in the interval #[0,2pi)#?
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Let #I# is identity matrix sized #3xx3# and #J# matrix sized #3xx3# which all the entry is 1. Let #A# is matrix sized #6xx6# which is wrote in block matrix #A=((I,J),(0,0))#. How to determine the base of zero space of #A# ?
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A circle has a center that falls on the line #y = 4/7x +6 # and passes through # ( 2 ,1 )# and #(3 ,5 )#. What is the equation of the circle?
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Question #ae1da
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An object with a mass of #180 g# is dropped into #660 mL# of water at #0^@C#. If the object cools by #72 ^@C# and the water warms by #3 ^@C#, what is the specific heat of the material that the object is made of?
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Question #fe111
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On what interval is the function f (x) = x^3 e^x increasing?
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How do you find the square root of #x^4 - 4x^3 + 10x^2 - 12x +9# using the division method?
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How do you find the coordinates of the center, foci, the length of the major and minor axis given #(x+8)^2/144+(y-2)^2/81=1#?
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How do you find the average value of the function for #f(x)=sqrt(2x-1), 1<=x<=5#?
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How do you integrate #int lnx/x^2# by parts?
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A car travelling at 60 kmph overtakes another car travelling at 42 kmph. Assuming each car to be 5.0 m long, find the time taken to overtake and the total distance used for overtake.?
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Question #b60d4
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Help w/ Vector problem?
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How do you find the domain and range of #f(x)=(x^2+1)/(x+1)#?
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Question #d945a
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A triangle has sides A,B, and C. If the angle between sides A and B is #(5pi)/12#, the angle between sides B and C is #pi/6#, and the length of B is 15, what is the area of the triangle?
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Question #61a81
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A cylinder has inner and outer radii of #9 cm# and #16 cm#, respectively, and a mass of #4 kg#. If the cylinder's frequency of counterclockwise rotation about its center changes from #9 Hz# to #3 Hz#, by how much does its angular momentum change?
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Question #d6928
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Question #b2c5e
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Question #64897
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Question #a9b9d
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An object with a mass of #5 kg# is hanging from an axle with a radius of #30 m#. If the wheel attached to the axle has a radius of #9 m#, how much force must be applied to the wheel to keep the object from falling?
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How to proof mass moment of inertia formula for a hoop with axis across the diameter?
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Question #802a8
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If #y=e^x#,then #f^-1(x)# is?
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An object with a mass of #2 kg# is revolving around a point at a distance of #7 m#. If the object is making revolutions at a frequency of #1 Hz#, what is the centripetal force acting on the object?
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Question #c4712
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How do you prove #a=v^2/r# and #a=r\omega^2# using a circle and vector diagram?
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Question #14c89
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How do you divide #3x ^ { 2} + 14x ^ { 2} + 20x + 29# by #x + 3#?
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How do you find #int (x-1) / (x(x^4+1)) dx# using partial fractions?
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Arrange "four" cells of 1.5 V each in such a way that total emf is 3V....?
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How do you find the domain of #f(x) = (x+18 )/( x^2-169)#?
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Some very hot rocks have a temperature of #280 ^o C# and a specific heat of #210 J/(Kg*K)#. The rocks are bathed in #12 L# of boiling water. If the heat of the rocks completely vaporizes the water, what is the minimum combined mass of the rocks?
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Eliminate #x# in the following?
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Question #6f1a1
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Question #261d3
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What is the remainder when #9432^6664# is divided by #10# ?
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How do you integrate #int e^x sin ^2 x dx # using integration by parts?
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A triangle has vertices A, B, and C. Vertex A has an angle of #pi/12 #, vertex B has an angle of #(5pi)/8 #, and the triangle's area is #15 #. What is the area of the triangle's incircle?
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Question #ccd7b
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A function f is defined by f(x) 5-2sin2x
For 0<x<pie
a)find the .range of f.
b)sketch the graph of y=f (x)?
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Find the sum of #1^2 - 2^2 + 3^2 - 4^2 + 5^2 - 6^2........#? ( Please find out the #n^(th) term and then use the sigma method)
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Let A and B are the set of real numbers, and x !in B means x ∈ B' . Is A − B = A ∪ B'?
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How do you determine the convergence or divergence of #Sigma (-1)^(n+1)cschn# from #[1,oo)#?
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How do you solve #x^4 - 3x^2 + 4 = 0# using the quadratic formula?
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Question #98ecf
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Question #6cde5
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How do you use the remainder theorem to determine the remainder when the polynomial #(x^3+2x^2-3x+9)div(x+3)#?
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Question #5e925
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Does the series #sum_(n=1)^oo((2n)/(n!))# converge or diverge?
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The sum of the series #1/(1*2) - 1/(2*3) + 1/(3*4) - ....# upto infinity is equal to?
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Question #30d6d
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An object with a mass of #6 kg# is revolving around a point at a distance of #2 m#. If the object is making revolutions at a frequency of #12 Hz#, what is the centripetal force acting on the object?
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The rate of rotation of a solid disk with a radius of #5 m# and mass of #6 kg# constantly changes from #8 Hz# to #2 Hz# over #5 s#. What torque would was applied to the disk at #2 s#?
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How does a step-up transformer, like the one used in a a battery-powered standby electrical system, not violate the Law of Conservation of energy when it changes 12V from a DC source to 110V of AC supply?
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A model train with a mass of #2 kg# is moving along a track at #2 (cm)/s#. If the curvature of the track changes from a radius of #3 cm# to #1 cm#, by how much must the centripetal force applied by the tracks change?
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The coefficients of #x^2# and #x^3# in the expansion of #(3-2x)^6# are *a* and *b* respectively. Find the values of #a/b# ?
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Question #d974d
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What is the integral of #(2x)/(x^2 + 6x + 9)# using partial fractions or #u# substitution?
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An object with a mass of #8 kg# is hanging from an axle with a radius of #5 cm#. If the wheel attached to the axle has a radius of #25 cm#, how much work would it take to turn the wheel a length equal to the circumference of the axle?
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How do you divide #(y^4-8y^3+10y^2+2y+4)div(y-2)# using synthetic division?
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Question #712b3
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Question #360da
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Obtain the echlone form hence solve the equations
x+2y+3z=-1
2x-y-2z=3
z+2y+2x=2?
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A container has #8 L# of water in it at #20 ^o C#. An object with a specific heat of #360 (KJ)/(Kg*K)# and a temperature of #540 ^oC# is placed into the container. If the water is completely vaporized, what is the object's mass?
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Question #4fc26
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How do you solve #\cos x + \sin x = \sqrt { 2}#?
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A square has vertices #J(-1,4), U(5,4), M(5,-2), P(-1, -2)#. After a dilation, square #JUMP# has vertices #J(-.5, 2), U(2.5,2), M(2.5, -1), P(-.5, -1)#. What is the scale factor of the dilation?
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How do you solve #(x-3)^2(2x+1)<=0# using a sign chart?
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The function f is defined by fx=5/(1-3x) for x>1
Find an expression for f^-1 and state domain and range of f^-1?
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How do you solve #(x-2)/(x+2)<=2#?
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Find the inverse of the matrix [6 -2 -3][-1 8 -7][4 -4 6]?
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The probability of rain on any particular day is 0.2. However, the probability of rain on a day after a rainy day is 0.85, whereas the probability of rain on a day after a non-rainy day is 0.1 . Question in details (below)?
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