Find the average value of h(x) over the interval [1,7] given that g (z)=-6x + 8. Edit View Insert Format Tools Table

Q: f(x) = -3x + 5 g(x) = x² = x² + 2x + 15

A: Given the function   we have to find the value of (gof)(x)

Q: Given the three functions below, which expression equals (zo go t) (x)? g(x) = |3x| Answer 6 ○ |3 (8…

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Q: Find the centre of mass of the region between y = x x² and y = x³ from x = 0 to X = 1.

A: The objective of this question is to find the centre of mass of the region between the curves y =…

Q: Find the arc length of the graph of (y − 1)3 = x2 on the interval [0, 8]

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Q: Suppose that functions f and g and their derivatives with respect to x have the values shown to the…

A: As per the company's guidelines, we are supposed to solve the first three sub-parts for you, Kindly…

Q: 3. Verify that the function satisfies the hypotheses of the Mean Value Theorem on the given…

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Q: 3x dx 1+e³x

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Q: how that the function is increasing on the given open interval. (Enter your answers as a…

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Q: Find y'' if y=-8 cos x. OA. y'=8 sin x OB. y'= -8 cos x OC. y'= 8 cos x OD. y'= -8 sin x

A: Explaination of answer is as follows

Q: 19 cookies, ho 10. The sum of three numbers is 161. The second number is 7 more than the first…

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Q: 7. Determine critical points for each of the following functions. 2 d. y = x² 32√x e. y = x³ + 3x² -…

A: To determine the critical points for each of the following functions.

Q: Find the vertex, focus, and directrix of the parabola with the given equation. Graph the equation.…

A: The given equation of parabola is The vertex form of parabola with the vertex  is

Q: 17. The amount, A, of 108 grams of a certain radioactive material remaining after years can be found…

A: Given that the amount A of 108 grams of a certain radioactive material remaining after t years is

Q: Given the definitions of f(x) and g(x) below, find the value of (fog)(-1). f(x)= x +5 g(x) = 2x² +…

A: The given function is .The aim is to find the .

Q: Find an antiderivative F(x) with F'(x) = f(x) = 5e" and F(0) = 0.

A: F′(x)=f(x)=5ex and F(0)=0

Q: 8. p-series below: (a) n=1 Use this fact to find the sum of each series below. (You may express your…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Find the volume of the solid obtained by rotating the region bounded by y = x, the line x = 4 and…

A: To find the volume of the solid obtained by rotating the region bounded by , the line  and the…

Q: The acceleration function (in m/s2) and the initial velocity are given for a particle moving along a…

A: Given,a(t)=t+4v(0)= 70=<t=<10

Q: The answer is wrong

A: The given curves equation is

Q: Two cylinders are given. The larger cylinder is a dilation of the smaller cylinder. Part A:…

A: Smaller length = 2mLarger length = 9mVolume of the smaller cylinder = 24 pi m3

Q: Find the radius R of convergence for the series R = n=1 2x+1 87+1 n8

A: The given power series .The aim is to find the radius of convergence of the power series.

Q: Find the derivative of the function. y = ³√x²-x² 一 y' =

A: The given function is; y= x7/8

Q: 5. Using Geogebra, draw the polar curve, r = sin³ (2.50) +cos³(2.50),0 ≤ 0 ≤ 2ñ.

A: Consider the curve

Q: 5. Find the gradient of the line tangent to the following functions at the given points. a. f(x) =…

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Q: Evaluate the following: lim In(e+h)-in e

A: To evaluate the following limit.

Q: 5 Find an antiderivative of the function g(z) = = 23 An antiderivative is

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Q: Express the given repeated decimal as a ratio of two integers. 0.760760760760...

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Q: Let g(x) = f(t)dt, where f is the function whose graph is shown. y f 20 (a) Evaluate g(0), g(4),…

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Q: Functions f and g are given as follows. X 5 X+2 x + 2 Find each of the following functions and state…

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Q: Let f(x) = x if x ≥ 5 5 if x < 5 a. Find f(1), f(5), and f(7). b. Sketch the graph of y = f(x).

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Q: 9. In the following exercise: i. Identify the function's local extreme values in the given domain,…

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Q: If f(x) f'(x) = = x² S²³ to dt then

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Q: A physician invests $24,000 in two bonds. If one bond yields 6% and the other yields 12%, how much…

A: Given that a physician invests 24000 dollars in two bonds , 6% and 12% , total annual income 1980…

Q: Use the table of values to find lower and upper estimates of 10 [to f(x) dx. Assume that f is a…

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Q: Find the exact value of the integral using formulas from geometry. (3 (3+x)dx a) Write which…

A: We have to find the exact value of integral using formula from geometry.Given integral Here…

Q: 8. Evaluate the definite integral. a. 6 e² + 18 e² + 18z dz

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: se the I.V.T and Rolle's Theorem/M.V.T to prove that the equation below has a unique lution in…

A: 1) x47+8x-2=0, [0,1]2) -x100+6x+2=0, [-1,0]

Q: Consider the parametric curve: x Y 4 +² +³4t At which t value(s) is the tangent to this curve…

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Q: DRAW THE GRAPH OF A FUNCTION WHERE limr-a f(x) DOES NOT EXIST FOR SOME INTEGER a. EXPLAIN WHY THE…

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Q: 31. 3 1-25x2 dx

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Evaluate the definite integral. 5 J 1+162 -dx

A: To evaluate the following integral.Note: Since you have posted multiple questions, we will provide…

Q: Find and simplify the difference quotient f(x) = 8 f(x+h)-f(x) h h#0 for the given function.

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Q: The velocity function v(f) (in meters per second) is given for a particle moving along a line.…

A: We have to find the displacement and distance travelled by a particle in the given interval.We will…

Q: 4. For the function fwhose graph is given, state the value of each quantity, if it exists. --2- 0…

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Q: Given f(x) = -√√/16 - x is concave up on its domain, what is an estimate for f (4.9) using the local…

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Q: (f) (g) Find the absolute maximum and absolute minimum of g(x). On what interval(s) is g(x) concave…

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Q: Find the area A of the region that is bounded between the curve f(x) and the curve g(x) sin (x) over…

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Q: Suppose you are given a triangle with Then a = , and b= 9. Enter your answers with at least 3 digits…

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Q: (c) (d) (e) creasing? Does g(x) have any critical points? If any, identify all critical points. On…

A: Given: To Find: (c) To find the critical points if any of g(x).(d) To find the interval(s) on which…

Q: Find the end points of the minor and major axis for the graph of the ellipse (x - 2)² (y – 5)² + 1…

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