1 Let fix) x. g(x)x2-7, G(x) Determine the composite function, fo g o G and its domain. X-3

Q: Find the angle between  6j + 16k  and  −4i − j  (to the nearest degree).

A: Let two vectors are u=6j+16k and v= -4i-jTo find angle between two vector use formula, |u| is the le...

Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the ...

A: A ladder with 10 ft resting on a wall is shown in below figure.

Q: See attachment

A: Given:

Q: The lateral surface area of a cone of radius r and height h is A=(pi)(r)[r^2+h^2]^(1/2) Find an expr...

A: Refer to the question, differentiate the provided lateral surface area with respect h as,

Q: I need help with number 7

A: “Since you have asked two different questions, we will solve the first question for you. If you want...

Q: see attachment

A: We have to convert (-6, -4pi/3) to positive values. First add 2pi with angle to make it positive.The...

Q: see attachment

A: Consider the general form of the polar coordinates that is given as

Q: When an equation is given, how would you know if it's continuous or not?

A: A graph for a function that's smooth without any holes, jumps, or asymptotes is called continuous.f(...

Q: see attachment

A: Let the larger number be A and the smaller be B.A + B = 66A = B + 16

Q: Given f(x)=250 e0.07x , solve f'(x)=130

A: The derivative for the function is calculated.

Q: How do you integrate 3x3 + 4x2 + 21x + 4/ (x2 + 1)(x2 + 7) by partial fractions

A: We need to evaluate the given integral using partial fractions.

Q: see attachment

A: To mark the points with the given polar coorinates

Q: at the point (3pi/4, -1/2) on y= sin(x)cos(x).  Find the slope of the tangent line.

A: Divide and multiply the given function y= sinxcosx by 2.

Q: find the implicit formula of x3=x+y/x-y

A: Firstly, we multiply both sides by x-y and simplify

Q: Numerically estimate the slope of the line tangent to the graph of the function fat the given input ...

A: f(1)=2sqrt(1)=2We use this and plugged the given values of x. Plugged them in calculator to find the...

Q: see attachment

A: Given, 

Q: see attachment

A: Let Howard’s family sprinkler used for x hours and Patterson family’s sprinkler used for y hours.It ...

Q: Consider the following functions. f(x) = x2, g(x) = Vx - Find (f o g)(x) Find the domain of (f o g)(...

A: The given functions are,

Q: 31

A: The given function is tan (x + y) = x and the point is (0, 0).

Q: f(x) = 14 csc(3x/2) , (0, 2π) Describe the concavity. (Enter your answers using interval notation. I...

A: The given function is,

Q: see attachment

A: Let x and y be the number of sodas and hot dogs, respectively.A vendor sold a combined total of 249 ...

Q: i need assistance with how to find the y-intercepts for these equations.

A: Given function are

Q: use implicit differentiation to find dy/dx and d2y/dx2 at the point (1,0) for  y2+1=xe2y

A: Take the first derivative with respect to x,

Q: Use the product rule to find the derivative of a function in the form f(x)g(X)h(x) Question For k(x)...

A:

Q: Use the given graphs of f and g to evaluate the expression. (Assume that each point lies on the grid...

A: Given graph: 

Q: Calculus Question

A: The derivative of the given function is evaluated.

Q: 19

A: Given function is

Q: Use the product rule to find the derivative of a function in the form f(x)g(x)h(x) Question f(x)g(x)...

A: Given,

Q: A sperical snowball is melting in such a way that its volume is decreasing at a rate of 1 cm^3/min. ...

A: Volume of the sphere formula:‘r’ is the radius of the sphere

Q: A farmer has 2400 ft of fencing and wants to fence off a rectangular field that borders a straight r...

A: Part a

Q: Let g(x) = x |x + 17|. Find all critical numbers (if any) of g. Give answers in increasing order. En...

A:

Q: A particle travels clockwise on a circular path of diameter​ R, monitored by a sensor on the circle ...

A: Let theta be angle between the diameter PQ and the line from the sensor to the particle.

Q: Detremine  if the following sequence is increasing decreasing not onotonic bounded below , bounded a...

A:

Q: see attachment

A: From the given information, the vector is 0.5 c + 1.2 d and an initial point P.

Q: An inverted conical water tank with a height o 6 ft and a radius of 3 ft is drained through a hole i...

A: Given, height of conical tank 6 ft and radius 3 ft.

Q: How large should n be to guarantee that the Simpson's Rule approximation to 5(e^x^2) (bounds 1 and 0...

A: F is continuous on 4th derivative over the interval [a,b]. the error of integral f(x) is given by

Q: Evaluate the 2 improper integrals attached as an image.

A: Evaluate the first integral as follows.

Q: find the derivatives of both: y = sec2(x) − tan2(x)   y = x3 cot(x)

A: Since you have submitted two questions, we'll answer the first question. For the second question ple...

Q: The radius of a conical tank is 4.4 meters and the height of the tank is 9.8 meters. Water is flowin...

A: Given that the radius of a conical tank is 4.4 meters and height of the tank is 9.8 meters. The rate...

Q: see attachment

A: In triangle ABC, angle B=124 degrees , angle C=25 degrees and length of side AC=b=44

Q: Evaluate sin(3x) dx. sin(3x) dx (Use C as the arbitrary constant.)

A: sin5(3x) = sin4(3x).sin(3x) = [1 – cos2(3x)]2sin(3x)

Q: Let f (x) = ex − e2x.Find all extreme values (if any) of f on the interval [0, 1]. Determine at whic...

A: The given function is

Q: Find the derivative of the function y 5sin(x)

A: Consider the given function

Q: V October 9, 2019 at 4:37 PM Find the domain of the given function. (Enter your answer using interva...

A: Rewrite the given function is

Q: Find all relative extrema of the function. (If an answer does not exist, enter DNE.)f(x) = x4 − 32x ...

A: Given,

Q: what is the integral of the functions:  x=2y^2 + 12y + 19 x=(-y^2)/2 - 4y - 10 y=-3 y=-2

A: Given integrals are

Q: Find (without using a calculator) the absolute extreme values of the function on the given interval....

A: compute the first derivative as follows.

Q: If f(x)=4x2-2x+3 solve f'(x)=28

A: We first find f'(x) using exponent rule: [d/dx(x^n)= n*x^(n-1)]

Q: 36. An elastic band is hung on a hook and a mass is hung on the lower end of the band. When the mass...

A: (a)The given information:

Q: tan x dy for y tan X Find dx

A: Given,