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Q: Find the volume of the solid created by rotating the region bounded by y = sinh x, y = cosh x, x = 0...

A: Sketch of the region:

Q: Find positive numbers x and y satisfying the equation xy=15 such that the sum 3x+y is as small as po...

A: Click to see the answer

Q: Find equation of the tangent line to the curve at the following point.

A: To write an equation for tangent line to the curve at a given point, we calculate the slope at the g...

Q: Let f(x)=ex2. It can be shown by direct computation that f(4)(x)≤76e on the interval [0, 1]. Using t...

A: Compute the first, second and third derivative of the given function as follows.

Q: Find an equation of the tangent line to the graph of y = ln(x2) at the point (5, ln(25)).

A: To determine the equation of tangent line at given point.

Q: Differentiate y = V910x У 3

A: Write expression of y using exponent.

Q: Can you help with this problem step by step?

A: Given: -

Q: 1 V25 81x2 xp +C WeBWorK notation for sin '(x) is arcsin(x) or asinx), for x) it's arctan(x) or atan...

A: Given,

Q: Differentiate y = xe у'3

A: Apply product rule. (uv)'=u'v+uv'

Q: Use a graph of to estimate the maximum and minimum values. Then find the exact values. Estimate th...

A: Please see the graph on white board. The maxima is infinity and minima is 0.

Q: A piece of wire of length 63 is cut, and the resulting tow pieces are formed to make a circle and a ...

A: The total length of the wire is 63.Let x be the length of the wire cut for the circle.Then, 63-x is ...

Q: If an object is thrown upward at 128 feet per second from a height of 36 feet, its height S after t ...

A: Average velocity in first 4 seconds is

Q: The average length of the outer ear for men can be modeled as f(x)0.89 0.495 In x inches a s 70.T wh...

A: Find f (x(15)) as follows.

Q: Express the given quantity as a single logarithm In(x 2)7 In x In(x23x 2)2 2

A: Make the coefficients into exponent. And they will multiply with the existing exponents.

Q: 1. Use the graph of f to estimate the values of c that satisfy the conclusion of the Mean Value Theo...

A: Given that the interval of the function is [0 ,8]

Q: A model for growth of a sandwich shop franchise is N(t)=-765+482lnt where N(t) is the number of loca...

A: Given:

Q: let q be the quantity and p be the price in this question. find the instantaneous rate of change, of...

A: To determine the instantaneous rate of change of q with respect to p.

Q: For the pair of functions, find the derivative of the composite function f(t(x) in terms of one inpu...

A: Given,

Q: 2. Describe each of the following with a parametrization. Be sure to indicate the possible values fo...

A: To determine:Part a) The parametric equation of circle.Part b) Parametric equation of a point.

Q: If 16% of a radioactive substance decays in 13 hours, what is the half-life of the substance? Round ...

A: In case of a radioactive decay, the amount x after time t is given by x(t)=x(0)e−kt where x(0) is t...

Q: Suppose total cost in dollars from the production of x printers is given by C(x) = 0.0001x3 + 0.005...

A: Suppose total cost in dollar from the production of x printers is given byC(x) = 0.0001x3+0.005x2+28...

Q: Q 9. (a) Find the inverse function of cosh(x). (Hint set z = e and invert that. Then replace e for z...

A: (a)Find the inverse function of cosh(x)

Q: For the composite function, identify an inside function and an outside function and write the deriva...

A: The given composite function is,

Q: see attachment

A: Raise both sides to the power of 10

Q: answer these questions using the function, f(x) = 1 +(7/x) - (6/x^2)

A: We need to find second derivative of f(x)

Q: find any x-values where the tangent to the curve is horizontal, where y=x^3-6x^2+9x+1

A: The given equation of curve is,

Q: please answer question 15 with graph

A: The given function is,

Q: A Graphs A and B are approximate graphs of f and f for f(x) x2 So f is increasing (and f is positive...

A: Using f(x)= x^2-2x+3 we find the f'(x).f'(x)= 2x-2

Q: For the pair of functions, find the derivative of the composite function c(x(t)) in terms of one inp...

A: Click to see the answer

Q: Find f "(x). f(x) = x/x^2 -1

A: Find f’’(x)

Q: Question 24 Which expression is equivalent to log, 8"? Select the correct answer below: log, 8 m. H ...

A: Simplifying the expression we get

Q: if sin(0)=-7/25 with 0 quadrant IV, what is cos(0)?

A: Given

Q: How do you find an equation of a line given a pair of points? EX: (22,26), (4,8)

A: Finding an equation of a line by giving two points

Q: If f'(1) = 1, f(2) = 3, f'(2) = -3, f'(4) = 10, g(1)= 4, g'(1) = 2, find (f o g)'(1) and (f(xg(x)))'...

A: Apply chain rule on to find (fog)'(1)then plug the given values. Answer: (fog)'(1) = 20

Q: I think this question (included in the image) is looking for a derivative of sorts

A: Please see the white board for the formulation.

Q: Find and sketch the level curves f(x,y) = c on the same set of coordinate axes for the given values ...

A: The given function is,

Q: see atta chment

A: Equation can be rewritten as

Q: Use the method of partial fraction decomposition to perform the required integration X+2 dx (x-4)2 x...

A: according to partial fraction.

Q: I need help with e. and d. JUST THESE PARTS

A: (d)Consider the given function:

Q: Find the equation of a) parallel and b) perpendicular lines to the line 4? – 6? = 9.

A: Assuming the given line is 4x – 6y = 9

Q: While taking a walk along the road where you live, you accidentally drop your glove, but you don't k...

A: That you dropped it within 1 kilometer of home this means 0≤x≤1We have to find the probability P(0≤x...

Q: 0 and f" (x) < 0 for all x 50. Suppose f(3) = 2, f'(3) and f'(x) 2 a. Sketch a possible graph for f ...

A: We can conclude from f(3) = 2 that the value of f(x) at x = 3 is 2.So we got one point on the curve ...

Q: Find the equation of the tangent line to the curve at the given point using implicit differentiation...

A: To determine the equation of tangent line to the given curve at point (1, 0).

Q: Write the equation in spherical coordinates. 2x2 - 3х + 2y2+ 22? (a) = 0 3p(p sin(p)cos (0)) 2 2х + ...

A: Consider the following spherical coordinates.

Q: Find the dimensions and volume of the right circular cylinder of maximum volume inscribed in a spher...

A: Let r be the radius of the cylinder and h be the height of the cylinderR is the radius of the sphere...

Q: What are the reference angles for the following

A: For the first image,

Q: step by step please f(x)=a(b)x the x at the end of that formula is an exponent of b , i believe

A: Substitute given two points to solve for a and b.

Q: cos(2 tan−1(x))

A: Given,

Q: Consider the following function. (If an answer does not exist, enter DNE.) 7 x2 f(x) = 1 + х (a) Fin...

A: A vertical line x = a is said to be the vertical asymptote of the cure y = f(x) if it satisfies the ...

Q: The question says: "A pair of parametric equations is given. a.) Sketch the curve represented by the...

A: Given: