Suppose f(x) =. %3D dr=AV 5x-4 +C, for constants A and C, what is the value of A? 5x-4

Q: 2. . If f(x) dx = 4 and 3g(x) dx = -9, evaluate [² [3f(x) + g(x)] dx

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Q: Find the point of diminishing returns for the revenue function where x is the amount spent on…

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Q: Find | f(x) + 6g(x)]dx if -2 6. 6 f(x)dx = 4 and g(x)dx = -6. -2 -2 6. [f(x) + 6g(x)]dx =

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Q: Find the point of diminishing returns for the profit function where x is the amount spent on…

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Q: If F(t) = t2/120 ; 0≤t≤8 years, the average failure rate will equal to:

A: The rate of failure for the survivors to the next instant of the time is defined as the failure rate…

Q: What is the value of f(1) - 16B in ∫x^3 lnx dx= f(x) ( (1/4) lnx - B ) + C

A: To find out the required value.

Q: If u = 3x' – 6x, find the percentage error in u at x = 1, if the error in x is 0-05.

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Q: A local retail store estimates that weekly sales s and weekly advertising costs x are related by the…

A: s=50,000-20,000e-0.0004x Differentiating with respect to t (time), we get…

Q: If f(2) = 15 and f (x) > 2 for 2 s x s 4, how small can f(4) possibly be?

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Q: If ff f(x) dx = 12 and fi f(x) dx = 3.6, find f† f(x) dx.

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Q: If S(16x* – 16x³ + 4x²)dx = F(x) + C, then F(x) = 16 A 5 B (4x²– 2x) 3 16 5 3 16 5- 4,3-4

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Q: If f(x) = 5x¹(²), find ƒ'(6) to 3 decimal places.

A: The given function,   f(x)=5xlnx

Q: What is f′(x) if f(x)=40x^5/e^x

A:

Q: Find the point of diminishing returns for the profit function where x is the amount spent on…

A: Given, p(x)=5x+30x2-2.5x3  Here x represents the amount spent on marketing in million dollars. Since…

Q: [D] If y = 3x – 6x2, find the percentage error in y at x = 1 if error in x is 0.05.

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Q: Find the relative extrema. x2 f(x) = 16- — х2

A: Given: f(x)=x216−x2 Function achieves relative maximum or relative minimum (relative extrema) at…

Q: The ratio of f(x) to g(x) is 3: x+2. If f(x)=x-2, what is g(x) in terms of x?

A: we have given ratio of f(x) to g(x) is 3: x+2 and  f(x)=x-2

Q: If f(x) = x*e*, then f"(x) = A 12x²e* B e(x* + 4x?) © e*(xª + 4x3 + 12x²) ex(x4 + 8x3 + 12x²)

A: Given; f(x) = x4ex

Q: Find the local extrema for f(x) = „5/3 + 8x2/3

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Q: If f(2) = 10, f' is continuous, and f'(x) dx = 20, what is the value of f(3)? f(3) =

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Q: find the general antiderivative of f(x)=4x+7

A: Given : fx = 4x + 7

Q: If f(x) = In( 3 + e4x ), find f '(0). f '(0) =

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Q: If the function f (x) = 6x2 + 7x - 5.The derivative of f (x) is f (x) A. 12r + 7 В. 6х + 7 С. Зх + 7…

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Q: Differentiate. xex - f(x) x + eX x². e* + e2x + 8 + 8e* f '(x) = (x+ e*)? 2

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Q: An investment of 6,000 grows at a rate of 4% for one year, then at a rate of 9% for three years.…

A: Investment amount = 6000 Rate of return for first year = 4% Rate of return for three years = 9% * 3…

Q: If f(x) = 4x² ln(7x), then %3D f'(x) = f" (x) = f" (x) =

A: The given function is: f(x)=4x2ln(7x) so, f'(x)=4x2ddx(ln(7x))+ln(7x)ddx(4x2)…

Q: If f'(x)= x² ,then dx # f(x³)

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Q: If f(4) 13, f'is continuous, and f (x) dx = 20, What is the value of f(6)? f(6) =

A: Answer and explanation is given below

Q: Suppose f (x) = dr=AV5- 3x +C, for constants A and C, what is the value of A? %3D If V5- 3x

A: Integration

Q: If r = 0.05 and H = 500, for what values of p0 is the amount ofthe resource decreasing? For what…

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Q: If / 5x²+6x dx = f(x) · Vx + C, then find f (x).

A: First integrate the function and then compare with given format to get f(x).

Q: If f(x)= x – 4 and g(x)= Vx – 2; | f which of the following is equal to (x)?

A: Rational function value

Q: Find the point of diminishing returns for the profit function where x is the amount spent on…

A: The point of diminishing returns for the profit function is the inflection point of the function. To…

Q: Suppose f(x)=−x2+10x−6 models the per household smoothie consumption, in quarts, in the town of…

A: Given that : fx=-x2+10x-6. Therefore, take first order derivative : f'x=-2x+10. At f'(x)=0 , we get…

Q: If f(x) = e2" , what is f"(x)?

A:

Q: If f(x) dx 38 and g(x) dx = 14, find [3f(x) + 5g(x)]dxr. Answer:

A:

Q: One type of uranium has a radioactive decay rate of 0.4% per day. If 50 pounds of this uranium is…

A: Answer is in next step. please give a like !!

Q: If f(x) dx о = 39 and д(x) dx 16, find [3f(x)5g(x)] dx.

A: The given values of integrals are,

Q: If f(x) = 5x4 – 2x3 –x² + 3x – 1, then | f'(0) = d2 ;f(0) = dx f"'(x)= d4 ¡f(x)= dx

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Q: Answer: f'(x) = b. f(x) = In (x – + 15)

A:

Q: For what value of the constant c is the function f continuous on (-0, ∞)? ( cx2 + 8x if x < 5 f(x)…

A: Given f(x) = cx2+8x   if x&lt;5x3-cx  if x≥5               we find the constant C is the function f…

Q: Solve the DE f'(x) = 5x given that f(0) = 3.

A:

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

A:

Q: If f(x) = x In x, then f ''(e) equals (A) - (В) 2 1 (C) e2 (D)

A: use the basic definition of derivative and tangent line to find the desired answer.

Q: If f(x) = x*e*, then f"(x) = A 12x?e* B ex(x4 + 4x³) O e*(x4 + 4x3 + 12x²) + 4x³ + 12x?) D e(x4 +…

A:

Q: Suppose that the manufacturer of a gas clothes dryer has found that when the unit price is p​…

A: a) If revenue is 0 then R=0 p can not be negative so, p=54.7722557505   Answer(a): p=54.7722557505…

Q: If f(x) dx 39 and g(x) dx = 12, find [2f(x) + 3g(x)] dx. %3D

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Q: Given: f(x) = - 3x + 7 g(x) = 2x + 1 h(x) = – 4x + 5 Flnd

A: Introduction: The composition of three functions f, g, h is given by, f∘g∘h(x)=f(g(h(x))) Where x is…

Q: Suppose f(x)dx= 2 and f f(x) dx = 1, and f3f(x)dx=-6, what is B. 2 C. 3 D. 4 A.-2 f(x)dx?

A: