Answers edited by Narad T.

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• How do you simplify #(2+5i)/(5+4i)#?
  
• How do you find the indefinite integral of #int x(5^(-x^2))#?
  
• How do you integrate #int x^3e^(x^2)# by integration by parts method?
  
• How do you integrate #int 6^x-2^xdx# from #[1,e]#?
  
• How do you find the domain and range of #f(x)= (2-x)/(x^2+7x+12)#?
  
• How To Do These Pythagorean Theorem Math Questions?
  
• How do you use the remainder theorem and synthetic division to find the remainder when #2x^3-7x^2 div x-5#?
  
• 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^2-4)#?
  
• Question #48229
  
• How do you find the inverse of #A=##((6, 7, 8), (1, 0, 1), (0, 1, 0))#?
  
• Question #cb7bf
  
• 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?
  
• How do you integrate #int 1/(4-x)^(3)dx# using trigonometric substitution?
  
• 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 identify all asymptotes or holes for #f(x)=(x^3+3x^2+2x)/(3x^2+15x+12)#?
  
• How do you solve #(x+4)(x-2)(x-6)>0#?
  
• Question #1d661
  
• How do you solve #p^5-p>0# using a sign chart?
  
• What is the quotient #( x ^ { 3} + 3x ^ { 2} + 5x + 3) \div ( x + 1) #?
  
• How do you solve and write the following in interval notation: #x^2 + 6x + 5 >= 0#?
  
• 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 find the asymptotes for #y = (3x^2+x-4) / (2x^2-5x) #?
  
• How do you solve the quadratic using the quadratic formula given #7-8z^2=6z+16# over the set of complex numbers?
  
• Consider a Poisson distribution with #μ=3#. What is #P(x≥2)#?
  
• How to do more of these Pythagorean Theorem Geometry Questions?
  
• How do you solve #3/(x-2)<5/(x+2)# using a sign chart?
  
• 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?
  
• 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?
  
• What is the interval of convergence of #sum (3x-2)^(n)/(1+n^(2)) #?
  
• How do you integrate #int (lnx)^2# by parts?
  
• 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?
  
• What are the points of inflection of #f(x)=x/(1+x^2)#?
  
• What is the angle between #<-5,7,6 > # and #<0,-4,8> #?
  
• How do you solve #(x+2)/(x+5)>=1# using a sign chart?
  
• How do you solve #x^4(x-2)>=0# using a sign chart?
  
• 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?
  
• How do you use the sum to product formulas to write the sum or difference #sinx+sin5x# as a product?
  
• 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 find the intervals of increasing and decreasing given #y=(3x^2-3)/x^3#?
  
• How do you simplify and divide #(12y^2+36y+15)div(6y+3)#?
  
• 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?
  
• 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?
  
• 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?
  
• How do you divide #(-1+3i)/(-4-8i)#?
  
• 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 unit vector that is orthogonal to the plane containing # ( - 4 i - 5 j + 2 k) # and # ( i + 7 j + 4 k) #?
  
• Is #f(x) =-x^3-(x-2)(x-1)# concave or convex at #x=-1#?
  
• How do you find the intercepts, vertex and graph #f(x)=x^2-9x+9#?
  
• What is the domain and range of #(5x-3)/(2x+1)#?
  
• Question #806c4
  
• Question #10e97
  
• 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 graph #f(x)=3(x-4)^2+2# and identify the vertex, axis of symmetry, domain, range, max or min values, increasing and decreasing intervals?
  
• 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?
  
• What is the average speed of an object that is still at #t=0# and accelerates at a rate of #a(t) = 6-t# from #t in [0, 2]#?
  
• 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 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 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?
  
• How do you find the inner product and state whether the vectors are perpendicular given #<3,4,0>*<4,-3,6>#?
  
• How do you identify all asymptotes or holes for #y=(2x+1)-3/(x-4)#?
  
• How do you find the derivative of #y=(x+1)/(x-1)#?
  
• How do you find the vertical, horizontal and slant asymptotes of: #f(x)= x^3 / (x^2-1)#?
  
• Question #f8908
  
• Question #14fc5
  
• 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 #?
  
• What is the projection of #<-6,2,1 ># onto #<-5,1,3 >#?
  
• 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 Vertical, Horizontal, and Oblique Asymptote given #(6e^x)/(e^x-8)#?
  
• 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#?
  
• How do you solve #(x+6)/(x^2-5x-24)>=0#?
  
• 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?
  
• What is the integral of #int sin(3x) * cos(4x) dx#?
  
• How do you use synthetic division to divide #(9x^3-16x-18x^2+32)div(x-2)#?
  
• Given #tantheta=-3/4# and #pi/2<theta<pi#, how do you find #tan(theta/2)#?
  
• 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#?
  
• How do you solve #(2y^2+3y-20)/(y^3-y^2)>0#?
  
• If #f(x)=2x-5# and #g(x)=x^2+1#, what is g(f(x))?
  
• How do you determine the intervals for which the function is increasing or decreasing given #f(x)=(x^2+5)/(x-2)#?
  
• How do you integrate #int (x + 2)/((x^2+x+7)(x+1))# using partial fractions?
  
• How do you find the vertical, horizontal or slant asymptotes for #f(x)=(x^3)/((x-1)^2)#?
  
• 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?
  
• Question #b8c93
  
• How do you integrate #4/((x+1)(x-5))# using partial fractions?
  
• Question #75006
  
• 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 domain and range of # sqrt(25-(x-2)^2) +3#?
  
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