f(x+h)-f(x) Simplify the difference quotient for the given function h 14 f(x) х

Q: A rectangular tank with a square base, an open top, and a volume of 6912 ft^2 is to be constructed o...

A: Given tank is open at top.So, the surface area is,

Q: Answer the following questions about the function whose derivative is f′(x)=x2(x-3)/x+6. Assume the ...

A: To determine:Part a) The interval of increasing and decreasing f.Part b) The local maximum and minim...

Q: Need help and exlination on solving this problem

A:

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

A: First of all, we define F(x) as a composite function by identifying the inside function h(x) and out...

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

A: Given function is

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: The population (in millions) of the United States between 1970 and 2010 can be modeled as p(x) = 20...

A: Consider the given information:

Q: Find the function L that linearly approximates f at the given point. a. f(x,y) = X2+y2; (0,0) b. f(x...

A: Refer to the question, we have to find the function L that linearly approximates f at the given poin...

Q: Use the Quotient Rule to differentiate the function f(x) = (tan(x) − 1)/(sec(x)   Simplify the expre...

A: Given:

Q: Find the arc length of the following curve on the given integral by integrating with respect to x. f...

A: Consider the given curve.

Q: indefinite integral of 3x−5/6 dx

A: The given integral is,

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: Can you help with this problem step by step?

A: Given function is

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

A: Part (a): Let’s consider two function g(x) = 9x5 and h(x) = 3x2 + 2 (g o h) (x) = g(h(x)) = g (3x2 +...

Q: Differentiate y = e*cos x У'3

A: To find the derivative of the function which is exponential in nature

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

A: The given composite function is,

Q: 49. Let f(t) be the temperature at time t where you live and suppose that at time t 3 you feel uncom...

A: a) f'(3)=2, f"(3)=4f'(3) > 0 , so the temperature f(t) is  increasing at x=3f"(3)>0 implies at...

Q: Differentiate the function (x + y)1/2 = x4 + y4 by implicit differentiation.

A:

Q: Let f(x,y)= x2-y2 a) On the set of xy-axes, draw the level curves L(x,y) = k for k= 1,2,3. On anothe...

A: The level curves f (x, y) = k are just the traces of the graph of f in the horizontal plane z = k pr...

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

A: Given,

Q: For number 3, how to find radius and height? And how do I know for height which function to subtract...

A: Given thatGiven that

Q: Find the area of the region enclosed by one loop of the curve. 18. r^2 = 4cos2(theta)

A: Refer to the question we need to find the area of the region enclosed by one loop of the curve.

Q: A. Find K given that K-1, 13, and 3k+3 are consecutive terms of an arithmetic sequence.  B. Write do...

A: Given that K-1, 13, and 3k+3 are consecutive terms of an arithmetic sequence.

Q: Help please. Working on my study guide and I'm confused

A:

Q: Use left and right endpoints and the given number of rectangles to find two approximations of the ar...

A: The Left Riemann Sum (also Left Endpoint Approximation) uses the left endpoints of a subinterval. 

Q: The marketing division of a large firm has found that it can model the sales generated by an adverti...

A: From the given information, it is observed that the aim is to find the ds/dx at the point x = 16.

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: see atta chment

A: Equation can be rewritten as 

Q: Between 2000 and 2010, the Phillips curve for the U.S. unemployment rate u and the Consumer Price In...

A: Differentiate I with respect to u 

Q: please answer question 15 with graph

A: The given function is,

Q: for this problem in the answer it says, cos^-1 (1/2)= pi/3,-pi/3. Why is that? Why did they go count...

A: According to question

Q: Find the centroid of the region bounded by the following curves: y = (1/2)x and y = sqrt x

A: Given equations of the curve: 

Q: The force exerted by an electric charge at the origin on a charged particle at a point (x, y, z) wit...

A: The position vector,

Q: Change from rectangular to spherical coordinates. (Let p 2 0, 0 < 0 < 2n, and 0 s p n.) (0, 2 3, 2) ...

A: Formula for the converting rectangular coordinates to spherical coordinates.

Q: find the critical points:

A: Given function is  and the interval isThe critical points of a function are obtained when the first ...

Q: see attachment

A: x-coordinate of the point is 

Q: Differentiate

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: Q 3. A cylindrical tank with radius 5 m is being filled with water at a rate of 1.25 m3/s. How fast ...

A: Given,          Radius of the tank (r) = 5m and rate of filling the tank is 1.25m3/s.Now,

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

A: First, here we will use the graph of the function to estimate the maximum and minimum values.

Q: A water trough is 9 m long and has a cross-section in the shape of an isosceles trapezoid that is 40...

A: Consider the given information about water trough:

Q: I am very confused about this chapter and specifically on how the homework is breaking the problems ...

A: Given sequence is

Q: Find the derivative

A: To compute the derivative of the given function (involving exponentials)

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

A: To sketch the graph, the points (x, y) are to be determined for different t values and then the poin...

Q: Evaluate the integral x cos(3x) dx Note: Use an upper-case "C" for the constant of integration

A: Given:

Q: Find the derivative using the following information.

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: Consider the function f(x) = x3 + 4, and the point (1, 5). Write the equation of the line tangent to...

A: Compute the slope as follows.

Q: The number of online buyers in Western Europe is expected to grow steadily in the coming years. The ...

A: (a) The percentage of online buyers in the year 2001 is evaluated as follows.

Q: Sketch: f= (X -2(4x21xtle) 60 16 (8x2TIOx13) X- intercept: Domain Y-intenept Vertical Asymptote Sant...

A: Graph the function f(x),

Q: find f'(x) of (((3x^2+1)e^x^2)/(2x+1)^5)^5 using logaithmic differentiation.

A: The given function is,