Find the surface area of revolution about the x-axis of y = 5 5 ㅠ 0 ≤ x ≤ 5 sin(5x) sin(5x) ov over the interval

Q: Let C(x) represent the cost of producing x units of a particular commodity where C(10)=1000 and…

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Q: Suppose 1900 square centimeters of material is available to make a box with a square base and an…

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Q: Given f(10) = 50 and f'(10) = 2 Approximate the following values f(11)~ f(9.5)~ ƒ(10.25)~

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Q: Question 19 ( ) Let f(r) Inz for all z>0. Determine all intervals on which is decreasing.

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Q: - Find the inflection points of f(x) = 2x¹ + 10r³ — 18r² + 7. (Give your answers as a comma…

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Q: Find the average rate of change of f(x) = x² from x = 1 to x = 4. (a) 3 (b) 5 (c) 15 (d) 6

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

Q: п Convert the point (p, 0, 0)=(3, 377) 6 expressions, or decimals to at least one decimal place. (x,…

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Q: 21. A one-sided limit can be used to determine the behaviour of a graph on either side of a 22. A…

A: Completing the given statements

Q: Let y = f(x), where f(x) = (5x² + 6)1/3. Find the differential of the function. dy =

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Q: 400 gallons of pesticide is accidentally spilled into a lake and uniformly mixes with the water. The…

A: NOTE: Refresh your page if you can't see any equations. . y=amount of pesticide at time t…

Q: Find the derivative of the given function. f(x) = (2x² + 2)³(x² − 1)² f'(x) = 80x⁹ + 64x7 – 96x5 −…

A: The solution is shown below- As per company guidelines only first three parts are allowed to solve.…

Q: (a) Find the linear approximation L(x) of 2 f(x) = x³ at x = 3 L(x) = x = 27. (b) Use L(x) to…

A: The given function fx=x23. To find the linear approximation of fx at x=27.

Q: The radius (R₁) of one ball bearing is 1.0 mm greater than the radius (R₂) of a second ball bearing.…

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Q: At exactly two of the labeled points in the figure below, which shows a function f, the derivative…

A: Given graph:-

Q: has a point of inflection. 2 z = 2 3. r = 0, 4 4. # = 0, -4 g 5. r = 0, 1. Find all values of at…

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Q: Find the future value of the following ordinary annuity. Payments are made and interest is…

A: Given : Find the future value of the following ordinary annuity. Payments are made and interest is…

Q: Find the derivative of the function. -7x³ - 6 6x² +7 f(x)=

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Q: Find the points on the cone ² = x² + y² that are closest to the point (5,4,0)

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Q: 16. A limit exists if both the right-hand and left-hand limits are equal. 17. A jump discontinuity…

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Q: Find the derivate of the functions a) F(x) = (7x²-9) (2x + 7) f'(x) = b) f(x) = 8x² - 2 8x +3 f'(x)…

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Q: A tank contains 500 gallons of salt-free water. A brine containing 0.25 lb of salt per gallon runs…

A: We solve the problem step by step

Q: Determine the derivative of each function f(x) = 3x³ + 2x² [K2] 1 b. f(x) = = = − 2x² [x2] x² c.…

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Q: Estimating the Amount of Rust-Proofer Required A hemisphere-shaped dome of radius 55 ft is to be…

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Q: Suppose a product's profit function is given by π(q) 3q² + 800q, where (q) is in dollars and q is…

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Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded by…

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Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing.…

A: To find where the function is increasing or decreasing.

Q: Consider the graph below. Which of the following is the correct setup for the area of the shaded…

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Q: Q11 Compute (a) [3.14] = dx (b) Compute [54] = d 5-4x- dx 3

A: To compute the following. (a) ddx3.14 (b) ddx5-4x3

Q: 3 Find the values of constants a, b, and c so that the graph of y = ax³ + bx² + cx has a local…

A: The equation of curve is:y=ax3+bx2+cx   Local maximum and local minimum of the curve y=f(x) are the…

Q: The Ninth Gate You arrive at the final gate, which leads into a building-like structure. You hope…

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Q: Question 17 () Let / be defined as follows: {² z Using the definition of the derivative, compute…

A: Let f be defined as follows:  fx=x2 if x<0x if x≥0 By using the definition of derivative, to…

Q: The graph of y=f(x) has f(5) = 1, f(x) has f(5) = 1, f'(5) = -1, and f(5) = -1-

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Q: TOPIC 4-5: L'Hôpital's Rule x²-25 x+∞5-4x-x² Q. #11 Please evaluate Lim a) Using L'Hôpital's Rule as…

A: L’hospital rule  limx— a f(x)/g(x)   = limx— a f’(x)/g’(x)   now find limit

Q: Consider the function f(x) = 2x³ - 5x on the closed interval [-4, -2]. Find the exact value of the…

A: We have to find the slope and value of c.

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: Evaluate lim x→∞ _x3 _ 5x2 +52 – 2 x² + 4x +3 =

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Q: Consider the function f(x) = 12x³ +30x¹ - 160x³ +4. f(x) has inflection points at (reading from left…

A: Application of Derivative

Q: Determine if the series n = 1 7+1 3+8" converges or diverges and choose the option that describes…

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Q: Q18 Given s = 3a²c-2bc + 5abc² (a) (b) da dc || ||

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Q: The Seventh Gate As you approach the seventh gate, you notice that it is only a short distance to…

A: The given function is;  f(x)=sqrt(4-34x).

Q: Let f(x) = x4 lnx for all x > 0. I

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Q: Use a differential to approximate. (Give your answer correct to 4 decimal places.) 4(3.98) (3.98)² +…

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Q: Consider the function f(x)= x4-98x² + 11, and an absolute maximum value equal to -6<x< 15. This…

A: Given: fx=x4-98x2+11, -6≤x≤15   Use the Power Rule: ddxxn=nxn-1

Q: First, let me say that I appreciate all the valid help that I have been receiving because the step…

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Q: A study of the demand for air travel between two cities depends on the airfare according to the…

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Q: (a) Find the derivative. y = In(4x - dy dx (b) Find the derivative. y = ln ( 4x = dy dx 6) - 3 In(x)…

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Q: Find the inverse Laplace transform L¯¹{F(s)} of the given function. 8s² - 49s + 294 s(s² +49) Your…

A: given  Fs=8 s2 - 49 s + 294s  s2 + 49 and asked to find the inverse laplace transform of F( s ).

Q: Suppose that f is differentiable at 1 and f'(1) = 1 = f(1). Evaluate lim xf(x²+x-5)-16 22-4 (Hint:…

A: Given f is differentiable at 1 f'(1)=1=f(1) We are required to find limx→2x4fx2+x-5-16x2-4

Q: distance in between the point P(3, 1, 2) and the point Q(0, 4,

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