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A projectile is shot from the ground at an angle of #pi/6 # and a speed of #4 m/s#. When the projectile is at its maximum height, what will its distance, factoring in height and horizontal distance, from the starting point be?

How do you identify all asymptotes or holes for #y=(2x+1)3/(x4)#?

A solid disk with a radius of #2 m# and mass of #2 kg# is rotating on a frictionless surface. If #32 W# of power is used to increase the disk's rate of rotation, what torque is applied when the disk is rotating at #1 Hz#?

How do you find the probability of at least one success when #n# independent Bernoulli trials are carried out with probability of success #p#?

How do you solve #(x+6)/(x^25x24)>=0#?

How do you use the remainder theorem and synthetic division to find the remainder when #2x^37x^2 div x5#?

How do you find the asymptotes for #y = (3x^2+x4) / (2x^25x) #?

Question #1d661

How do you solve and write the following in interval notation: #x^2 + 6x + 5 >= 0#?

How do you solve #(x+2)/(x+5)>=1# using a sign chart?

How do you identify all asymptotes or holes for #f(x)=(x^3+3x^2+2x)/(3x^2+15x+12)#?

Question #48229

An object with a mass of #5 kg# is hanging from a spring with a constant of #3 (kg)/s^2#. If the spring is stretched by #7 m#, what is the net force on the object?

How do you integrate #int 1/(4x)^(3)dx# using trigonometric substitution?

How do you integrate #4/((x+1)(x5))# using partial fractions?

How do you determine all values of c that satisfy the mean value theorem on the interval [1,1] for #f(x) = 3x^5+5x^3+15x #?

An electric toy car with a mass of #3 kg# is powered by a motor with a voltage of #4 V# and a current supply of #8 A#. How long will it take for the toy car to accelerate from rest to #5/3 m/s#?

An object with a mass of # 2 kg# is traveling in a circular path of a radius of #4 m#. If the object's angular velocity changes from # 1 Hz# to # 5 Hz# in # 3 s#, what torque was applied to the object?

A model train with a mass of #4 kg# is moving along a track at #3 (cm)/s#. If the curvature of the track changes from a radius of #54 cm# to #27 cm#, by how much must the centripetal force applied by the tracks change?

How do you solve #x^4(x2)>=0# using a sign chart?

Question #b8c93

How do you integrate #int x^3e^(x^2)# by integration by parts method?

How do you find the domain and range of # sqrt(25(x2)^2) +3#?

The position of an object moving along a line is given by #p(t) = sint +2 #. What is the speed of the object at #t = 2pi #?

How do you find the vertical, horizontal or slant asymptotes for #f(x)=(x^3)/((x1)^2)#?

How do you find the domain and range of #f(x)= (2x)/(x^2+7x+12)#?

An object with a mass of #7 kg# is hanging from a spring with a constant of #2 (kg)/s^2#. If the spring is stretched by # 17 m#, what is the net force on the object?

How to do more of these Pythagorean Theorem Geometry Questions?

How do you use the sum to product formulas to write the sum or difference #sinx+sin5x# as a product?

What is the quotient #( x ^ { 3} + 3x ^ { 2} + 5x + 3) \div ( x + 1) #?

What is the unit vector that is orthogonal to the plane containing # (  4 i  5 j + 2 k) # and # ( i + 7 j + 4 k) #?

Question #75006

How do you find the local maximum and minimum values of # f(x)=x^3 + 6x^2 + 12x 1# using both the First and Second Derivative Tests?

A charge of #12 C# passes through a circuit every #9 s#. If the circuit can generate #6 W# of power, what is the circuit's resistance?

What is the projection of #<6,2,1 ># onto #<5,1,3 >#?

How do you find the intercepts, vertex and graph #f(x)=x^29x+9#?

How do you solve the quadratic using the quadratic formula given #78z^2=6z+16# over the set of complex numbers?

How To Do These Pythagorean Theorem Math Questions?

How do you determine where the function is increasing or decreasing, and determine where relative maxima and minima occur for #f(x)=(x^3)/(x^24)#?

An object with a mass of #2 kg#, temperature of #150 ^oC#, and a specific heat of #24 J/(kg*K)# is dropped into a container with #18 L # of water at #0^oC #. Does the water evaporate? If not, by how much does the water's temperature change?

What is the integral of #int sin(3x) * cos(4x) dx#?

Question #14fc5

The rate of rotation of a solid disk with a radius of #2 m# and mass of #5 kg# constantly changes from #27 Hz# to #18 Hz#. If the change in rotational frequency occurs over #3 s#, what torque was applied to the disk?

How do you divide #(1+3i)/(48i)#?

What is the average speed of an object that is still at #t=0# and accelerates at a rate of #a(t) = 6t# from #t in [0, 2]#?

How do you simplify #3(cos((7pi)/3)+isin((7pi)/3))div(cos(pi/2)+isin(pi/2))# and express the result in rectangular form?

How do you simplify and divide #(12y^2+36y+15)div(6y+3)#?

How do you solve #(2y^2+3y20)/(y^3y^2)>0#?

How do you solve #3/(x2)<5/(x+2)# using a sign chart?

How do you find the indefinite integral of #int x(5^(x^2))#?

How do you solve #p^5p>0# using a sign chart?

Question #806c4

Given #tantheta=3/4# and #pi/2<theta<pi#, how do you find #tan(theta/2)#?

How do you find the Vertical, Horizontal, and Oblique Asymptote given #(6e^x)/(e^x8)#?

What are the points of inflection of #f(x)=x/(1+x^2)#?

How do you use synthetic division to divide #(9x^316x18x^2+32)div(x2)#?

Question #10e97

Consider a Poisson distribution with #μ=3#. What is #P(x≥2)#?

How do you find the inverse of #A=##((6, 7, 8), (1, 0, 1), (0, 1, 0))#?

How do you find the intervals of increasing and decreasing given #y=(3x^23)/x^3#?

How do you integrate #int (lnx)^2# by parts?

A circle has a center that falls on the line #y = 12/7x +3 # and passes through # ( 9 ,5 )# and #(8 ,7 )#. What is the equation of the circle?

An object has a mass of #6 kg#. The object's kinetic energy uniformly changes from #18 KJ# to # 4KJ# over #t in [0, 9 s]#. What is the average speed of the object?

How do you find the vertical, horizontal and slant asymptotes of: #f(x)= x^3 / (x^21)#?

What torque would have to be applied to a rod with a length of #5 m# and a mass of #5 kg# to change its horizontal spin by a frequency of #2 Hz# over #2 s#?

What is the domain and range of #(5x3)/(2x+1)#?

How do you integrate #int (x + 2)/((x^2+x+7)(x+1))# using partial fractions?

How do you find the inner product and state whether the vectors are perpendicular given #<3,4,0>*<4,3,6>#?

A charge of #6 C# is passing through points A and B on a circuit. If the charge's electric potential changes from #42 J# to #27 J#, what is the voltage between points A and B?

What is the interval of convergence of #sum (3x2)^(n)/(1+n^(2)) #?

How do you find the derivative of #y=(x+1)/(x1)#?

A triangle has corners at #(1 ,7 )#, #(5 ,3 )#, and #(2 ,9 )#. If the triangle is dilated by a factor of #5 # about point #(7 ,1 ), how far will its centroid move?

Some very hot rocks have a temperature of #280 ^o C# and a specific heat of #40 J/(Kg*K)#. The rocks are bathed in #70 L# of boiling water. If the heat of the rocks completely vaporizes the water, what is the minimum combined mass of the rocks?

What is the angle between #<5,7,6 > # and #<0,4,8> #?

Question #f8908

How do you use the first derivative to determine where the function #f(x)= 3 x^4 + 96 x# is increasing or decreasing?

How do you graph #f(x)=3(x4)^2+2# and identify the vertex, axis of symmetry, domain, range, max or min values, increasing and decreasing intervals?

How do you integrate #int 6^x2^xdx# from #[1,e]#?

Is #f(x) =x^3(x2)(x1)# concave or convex at #x=1#?

How do you determine the intervals for which the function is increasing or decreasing given #f(x)=(x^2+5)/(x2)#?

Question #cb7bf

A cylinder has inner and outer radii of #2 cm# and #3 cm#, respectively, and a mass of #1 kg#. If the cylinder's frequency of counterclockwise rotation about its center changes from #6 Hz# to #12 Hz#, by how much does its angular momentum change?

How do you simplify #(2+5i)/(5+4i)#?

If #f(x)=2x5# and #g(x)=x^2+1#, what is g(f(x))?

An object with a mass of # 3 kg# is traveling in a circular path of a radius of #3 m#. If the object's angular velocity changes from # 2 Hz# to # 7 Hz# in # 8 s#, what torque was applied to the object?

How do you solve #(x+4)(x2)(x6)>0#?

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