8) For f(x) = x +1 and g (x) = 5x + 4, determine the following. a) 4 points h (x) = (f •g)(x). b) 4 points H (x) = (g •f)(x).

Q: find the extreme values (absolute and local) of thefunction over its natural domain, and where they…

A: To find the critical points we solve dy/dx=0

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A:

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A:

Q: Suppose a baby food complany has determined that its total revenue R for its food is given by…

A: Total revenue R for baby food is R=-x3+63x2+1200x where R is measured in dollars and x is the number…

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A:

Q: F(x)=2x^3 and g(x)=-3x^2 +1, Find a)(fog)(1) b)(gof)(-1) c)(fof)(2) d)(gog)(-2)

A:

Q: Which is equal to (x) given that g(x) = 1- 3x and h(x) = V?

A:

Q: Suppose that f(æ, y) = e-3x² – 4y? + y Then the maximum is

A:

Q: fG)=4x-3 SC) = (f of ) (x)=

A: Given fx=4x-3.

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A:

Q: 7. Differentiate f(x) = (3x + x)² in three ways. When you have completed all three parts, show that…

A: Given that, fx=3x+x2

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A: The points of local maximum and minimum can be obtained by differentiating the function and equating…

Q: 2. What is the domain of the function f(x) Vx + 4

A: we have to find the domain of the function. f(x)=x-2x+4

Q: What is the minimum number of times you would expect f(x) 6 in the interval (0, 40? %3D

A: from the given table we cansay (As f(x) in continuoun everywhere)∃ x1∈ (0,10) such that,…

Q: What is the relative maximum value of f(x) = x³ – 3x + 2? -

A:

Q: If f'(x) > 3 for all x and f(2) = 5, what can you conclude about f(4)? %3D

A:

Q: If you need to prove that a ∈ f^−1 (Y ), what do you need to show?

A: Here we need to show the way to prove a∈f-1(Y)

Q: 1 7. f (x) = 3x² - x + 6 Opens up/down: Vertex: Axis of symmetry:

A: We can answers first three parts of the question as per the honor policy. Please resubmit other…

Q: Use Horner's method to find po=2, Q(2) where f(x)= x³-2x2-5

A: the given polynomial is f(x)=x3-2x2-5 rewrite in standard form f(x)=x3-2x2+0x-5 to find the quotient…

Q: What is the difference between the maximum and minimum of the quantity (x2y2)/25 where x and y are…

A:

Q: Find all critical numbers of f (x) =8r³+39x²+ 18r– 4 (A -3, -

A: We have f(x) = 8x3+39x2+18x-4To identify the critical values, we differentiate and find values of x…

Q: 9. If f(x) = kx – 1 and f'(15) = 2, find k. %3D -

A: Given f(x)= kx3 - 1 and f-1(15)=2 then we have to find out the value of k

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A: Find your answer below

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A: We are authorized to answer one question at a time, since you have not mentioned which question you…

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A: Given revenue function

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A: Solve the problem

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A:

Q: (2022) , find feua (0) (1-x3 2x given f(x) 2

A:

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A: Given:   Now, we need to find the value of x such that P(x) is the maximum. For simplicity, we plot…

Q: find the extreme values (absolute and local) of thefunction over its natural domain, and where they…

A:

Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

A: Given : A manufacturer finds that the revenue generated by selling x units of a certain commodity is…

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A: It will be max where dE/dp will be 0.

Q: Do you agree with the statement that “ cubic functions must have at least 1 x-intercept but not more…

A: Consider the provided question, Yes, cubic function have at least one real root (x-intercept) but…

Q: 4.Given f(x) = 7x² + 4x – 1, find f(--).

A: Given fx=7x2+4x-1.

Q: 4.x +1 1 with f'(x) = 1/ 56x2 - 156x + 115 14x – 19 - - 3. Let f(r) = and f"(x) 4 %3D 3 5 Vr2 – 3x +…

A: To find the points on which it is concave up or concave down

Q: 1. Can Rolle's Theorem be applied to y = (x – 2)5 on the interval [0, 4]? Justify.

A: we will see how to proceed

Q: |(-m,-풀) -꿀 | (-풀,0) (0. 풀) (5. ") f(x) f '(x) f "(x) Concavity

A:

Q: Show solution/process. 1. f(x) = 2x² – 4x + 5 at the point (–1,11) 2. f(x) = v25 – x² at the point…

A: Since there are more than one question, only one question can be answered. The function is given by,…

Q: Find the extreme values of on [-2,2]. f(x) = ret, x < 0 2x³9x² - 12x, x ≥ 0

A: Solution of given question is written in below steps.

Q: 5. Use the second derivative test to determine whether f (x) = x3 – 9x2 + 24x +5 has a local maximum…

A:

Q: 4. For f(x) = 3x² + 5 and g(x)=7x-2, %3D %3D

A: answer is in next step

Q: 31. f(x) g(x) =

A:

Q: 21. If f(x) = 2x - 1 and g(x) 3x + 5, what is f(g(5))? %3D %3D

A: Given, f(x)=2x-1 g(x)=3x+5 f(g(5))=?

Q: 1. Can Rolle's Theorem be applied to y = (x – 2)3 on the interval [0, 4]? Justify.

A: Check differentiability at x=2

Q: Do you agree with the statement that “ cubic functions must have at least 1 x-intercept but not more…

A: Answer

Q: find the extreme values (absolute and local) of thefunction over its natural domain, and where they…

A: Given: y = 2x2 -8x +9 To find: The extreme values of the function over it's natural domain, and…

Q: The derivative of f(x) 4 (22 +17x) is O -4c (2a + 17) O -4r 2(2x + 17) O 4x + 68 O 4x 2(2x + 17) O 4

A: Here, it is given that f(x)=4x(x2+17x) We need to find the derivative of the function f(x).

Q: Find the value of c guaranteed by the Intermediate Value Theorem. x²+ 5x 9. 18 Ke) = 18 f(x) = f(c)…

A:

Q: What are the minimum and maximum values of the equation f(x) = 5x - 2x < +1 on the interval (-2, 2)?…

A:

Q: Suppose that f(r, y) = x² – xy + y² – 4x + 4y with – 4 < x, y < 4. -

A: 1.)  Given Function is  f(x,y) =x2-xy+y2-4x+4y  with  -4≤x,y≤4  Then, fxx,y=2x-y-4…

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.