Find the exact length of the curve. x = 9 cos(t) - cos(9t), y = 9 sin(t)- sin(9t), 0 stST

Q: show x on left side Inverte COAS Isolate x. For answer, show X on 2 (x-3) - x ≤ 10x + 5

A: Solve tye given equation  for x

Q: 1. Find the volume of the solid determined by x² + y² ≤ zª and z¹ ≤ 1.

A: To find the volume of the solid determined by the inequalities x^2+y^2 ≤ z^4 and z ≤1, set up a…

Q: dP dQ are positive. (c) (D8 and D9) Find given that cos(P) = e(PQ²) and P and Q

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

Q: f(x)=x²8x² + 5

A: f(x)=x4−8x2+5

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A: A number's square root is a value that, when multiplied by itself, returns the original number.

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Q: Answer the following questions for the function f(x)=x√x² + 36 defined on the interval -4 ≤ x ≤7.…

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Q: Find the marginal cost function. C(x)=250 +3.5x-0.01x² c'(x) = [

A: we are given the cost function and we need to find out the marginal cost function.

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Q: Suppose a triangle in space has vertices (a, b₁, ²₁), (a₂, bz, C₂) and (93, b3; (3). Explain how you…

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Q: For y = f(x) = 7x², find f(x₁+AX)-f(x₁) Ax || f(x₁ +Ax) -f(x₁) Ax given x₁ = 5 and Ax=2.

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Q: Determine the horizontal asymptote of the graph of the function. x3 - 5x2 +x-2 x²-20 f(x)=- Select…

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Q: Use the graph to estimate the open intervals on which the function is increasing or decreasing.…

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Q: Find d'y dx² if f(x) = 3x³ (√x − 2).

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Q: Please answer the following derivative question. If H (x)=(4f(x)+ g(x))2/3 and f(3)=2, g(3)= -4,…

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Q: the object. A person coughs when a foreign object is in the windpipe. The velocity of the cough…

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Q: Sketch the region enclosed by y = 7x and y = 8x². Decide whether to integrate with respect to x or…

A: In this question, we will find the area of the region.

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Q: Show that the function y= x ln x is a solution of the differential equation xy" - y' + (1/x) y = 0.

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Q: Suppose that lim ƒ(x) = 0, lim g(x) = 0, lim h(x) = 1, limp(x) = ∞, and x→a x→a x→a x→a lim q(x) =…

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Q: Consider the graph of distances from the origin as a function of time for a car trip. 150 100 50…

A: This all the given problem by using the concept  slope of tangents at a point.

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Q: Find the derivative of the algebraic function. c5-x5 c5 + x5 f'(x) = f(x) = c is a constant. X

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Q: Find f'(t) if f(t)=4t² +8t+3.

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Q: please show all steps what are 2 critical points of the function: f (x)  =  esin(πx/20) −…

A: Consider the function f (x)  =  esin(πx/20) − cos(πx/20)

Q: Find f. f(x) = f"(x) = 8x³ + 5, f(1) = 6, f'(1) = 2

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Q: log(x2+x+ ex cos(x)²) log(log(log(x)))

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Q: DETERMINE WHETHER THE SEQUENCES ARE INCREASING, DECREASING, MONOTONIC. IF INCREASING, EUTER I AS…

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Q: Let f(x) = 5 − 3x²2 and g(x) = x + 5. Compute the following. (a) (fog)(x) (b) (c) (e) (fog)(-1)…

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Q: 4. Three large tanks contain brine, as shown in the figure below. pure water 4 gal/min A 300 gal B…

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Q: 1. Solve dy 3-x-y dx x + y

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Q: An = (3″ + 5n)1/n

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Q: Evaluate the following integral, S yx² ds where C is given by y x5 for 0<x< 1. =

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Q: If f(x) = f'(x) = f'(4) = tan x - 5 sec x 3x² tan(x) sec(x) X

A: The Quotient Rule:Use the common derivatives:

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Q: út 3 7 2 < X < 7 7 2 3 ||a The function graphed above is decreasing on the interval LO The…

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Q: 2. Find the derivative: a. y=ln(e^x)/(1+e^x)

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

Q: Find the limit if it exists. lim (5x+8) x→-5 Select the correct choice below and, if necessary, fill…

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Q: = O Trigonometric Identities and Equations Proving an identity using fundamental trigonometric…

A: 1+tan2x

Q: If f(x) x = [²₁ 1 = = then ƒ'(x) = ƒ'(−2) = tadt

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Q: (b) Isolate дет 11 2x 5 = 1/2gt²2² + vt

A: To isolate  in the following equation.

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