Find the average rate of change for the function over the given interval. y=ex between x = -2 and x = 2 The average rate of change of y between x = -2 and x = 2 is (Round to four decimal places as needed.)

Q: © Macmillan Learning Assume that the graph of y = f(x) consists of a semicircle of radius 2 and two…

A: Please see the below picture for detailed solution.

Q: Find all Where bothe the values of X the tangent horizontal 3 2 X²³ - 3x²³² - 8x +14 23 line 13

A:

Q: The area under the curve y = 2.5-3.5 and above the z-axis between z = 3 and 2 = 10 is: area The area…

A: Given curve equation:- y=2.5x-3.5

Q: (d) At which points, if any, is f(x) continuous but not differentiable? State x-value of any such…

A:

Q: f(x) = 8x2x3, find f'(2) and use it to find an equation of the tangent line to the curve y = 8x2x3…

A: Let's find equation of tangent line.

Q: Using the RN approximation, express the area under the graph f(x) = 7 sin(x) over [0, €] as a limit.

A:

Q: Find the area of the surface generated when the given curve is revolved about the given axis. y =…

A:

Q: The graph of y = f(x) has the following features: lim f(x) = 3 18 ● lim f(x) = -2 #418 lim f(x) = -∞…

A: Here is the solution:

Q: Find the derivative of the following function. f(x)=√coth (-3x) f'(x) =

A:

Q: You are to manufacture a rectangular box with 3 dimensions x, y and z, and volume v = 125. Find the…

A:

Q: Differentiate the following function: f'(t) = FI f(t) = √t__1 1-1/1

A:

Q: 1. Consider the graph of f(x) given below: -10-8-6 -4 (a) Find the following: i. lim f(x) ONE ii.…

A: Topic = Function

Q: Find y'' for y = 4+ or y= (4 + ³) ³. X y"=0 3 5

A:

Q: 7. For the following questions, use the graph of y = f(x) below. -4 -3 -2 1 4 -2 ON 4

A:

Q: Find the critical point of the function f(x, y) = 5eª - 3xe¹. C= Use the Second Derivative Test to…

A:

Q: Find a formula for the nth partial sum of the series 7 - - + 6 series' sum if the series converges.…

A:

Q: determine the open intervals on which the graph of the function is concave upward or concave…

A:

Q: 1 (x 1 + 4) - 0 (X-3) 2 호 + 1 (x

A:

Q: Estimate the limit numerically or state that the limit does not exist: 10² Give your answer to at…

A: limx→ 010x-1x=limx→ 0ln10· 10x1Plug in the value x=0.=ln10· 1001=ln10

Q: farmer has 1000 feet of fence and wishes to enclose a rectangular plot of land. The land borders a…

A: Given query is to find the length of the side for maximum area.

Q: 47, 48, 49, 50, 51, and 52 A solid is obtained by rotating the shaded region about the specified…

A: given curve y =sinxthe shaded part is rotating around x axis then for finding volume of obtained…

Q: Graph the level curves for z = 2x - 3y for z = 0, 1,2 on the same ry plane, and label them.

A:

Q: 4 If ſ₁ ƒ(x) dx = 12, then ¹ f(4x) dx is equal to If ſ¹ ƒ(x) dx = 12, then fx f(x²) dx is equal to

A:

Q: Evaluate the integral. (Use C for the constant (arcsin(x))² dx

A:

Q: 49. About the x-axis y = √sin x 77 x

A:

Q: I " T 1 2 3 1 4 5

A:

Q: dividing the polynomial P(x) by x+6 yields a quotient Q(x) and a reaminder of 10. If Q(6)=-5, find…

A: Topic = Algebra

Q: The limit represents the derivative of some function f at some number a. State such an f and a.…

A: Given: limh→0cos(π+h)+1h

Q: 2. d. Explain the difference between f(a+h)-f(a) h and lim h→0 f(a+ a+h)-f(a) h Use the definition…

A: Please see the below picture for detailed solution.

Q: Find All Solutions 3 sin z=3- 3 cos z

A: Given query is to find the solution of the expression.

Q: --1/0 -1 -1 1,0

A: As we can see  in the figure the tangent line passes through the point x=2. Slope of tangent line…

Q: Determine the exact solutions for x on the interval [0,2π). This problem has inverse trig in the…

A: Given trignometry equation sin( 2x ) = 45

Q: An open rectangular box has volume 48 cm³. What are the lengths of the edges giving the minimum…

A:

Q: Graph the function as a solid curve and its inverse as a dashed curve. f(x) = x³ +4 fy Anana

A: NOTE: Refresh your page if you can't see any equations. . the given function is  to graph the…

Q: 1. Find the slope of the secant line to the function f(x) = ln(x) from x = 1 to x = e. Then find the…

A: The given function fx=lnx. We have to find the slope and equation of the secant line from x=1 to…

Q: Find all the values of Xx Where the teensont line is horizontal 3 X²³-5x²³²-9x+10

A:

Q: Let g(s) = (282)7. Then g'(s) is g'(2) is g" (s) is and g' (2) is "

A: Solving the following problem

Q: A guitar factory has a cost of production C(z)-90z+ 47500 if the company needs to break even after…

A:

Q: Learning Target DC1: I can compute derivatives correctly for power and polynomial functions, and…

A:

Q: Which one of the following is NOT a separable first-order differential equation? A x 2-52²-1 dy ay…

A: Find which equation is not separable.

Q: Given y = f(u) and u = g(x), find dy dx y = tan u, u = 11x +4 = f'(g(x))g'(x) = dy - = f'(g(x))g'(x)…

A: Given: Also, So,            dydx=ddutan(u)ddxu       =ddutan(u)ddx11x+4       =sec2u  (11)…

Q: Find L-tan -¹ (7/²)

A: We are asked to find the inverse Laplace

Q: What is the shortest distance from the surface xy + 9x + z² = 88 to distance = the origin?

A:

Q: The graph below is the function f(x) -5 -4 -3 -2 -1 3 2 1 lim f(x) = 2 f(2)= lim f(x) lim f(x)= 1…

A:

Q: For the pair of functions, write the composite function and its derivative in terms of one input…

A:

Q: Use the Power Rule to compute the derivative. ƒ'(x) = = 28 d dx -x0.2

A:

Q: The limit lim h→0 and a. f(x) a = = (2+h)²-4 h represents f' (a) for some function f and some number…

A: Given query is to find  function and a.

Q: 1. a. Carefully graph f(x)= x³ − 3x² + 3x−1on the window xmin = -1, xmax = 4, ymin = -1, and ymax =…

A: As per our guidelines, we are advised to solve only three subparts of 1st question. Please ask other…

Q: A closed rectangular box has volume 34 cm³. What are the lengths of the edges giving the minimum…

A:

Q: What is the final answer? I tried 11e^2 - 27 it was wrong

A: