11) The velocity of a particle moving along the x-axis is given by v(t)=-² + 2t + 4 for 0 st s 5. The position of the particle x(t)is 1 when t= 0. Show the work that leads to your answers.

Q: sech x = (√21/5)  , find tanh x.

A: Given query is to find value of tanh (x).

Q: f(x) = sin 'x Sin'x -2x

A: We have to find the critical point.

Q: S sec² (7t) tan² (7t) √1 – tan² (7t) dt

A: Given integral:- ∫sec27ttan27t1-tan27tdt

Q: Question 2 Consider the following table of values: X 4 f(x) 3 4 2 1 f'(x) -5 -6 -7 11 3 g(x) 4 1 2…

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Q: me: 3. What does the lim h 0 f(x+h)-f(x) h Date: 2 =- - 4 indicate about the graph of the function…

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Q: 3 5.³ 0 x√1 + x² dx.

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Q: Suppose that f(x, y) = 6, and D = {(x, y) | x² + y² ≤ 1}. 2 Then the double integral of f(x, y) over…

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Q: Let f(x)=12x^2−7x−11 Where is the critical point? x= Is this critical point a local maximum, a…

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Q: QUESTION 1 If f(x) = 3x +51, - 1<x< II, Then the sum of the Fourier coefficients ao + b₁ + b₂ + b3…

A: A detailed solution is given below.

Q: The average rate of change of f(x) = ax³ + bx² + cx+d over the interval -1 ≤x≤0 is Oa+b+c 2d a-b+c

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Q: For the given function, find the critical points c and the intervals on which the function is…

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Q: A candy box is to be made out of a piece of cardboard that measures 8 by 12 inches. Squares of equal…

A: Solution: Let the side of the square = x Given : Length of cardboard = 12 inches Breadth of…

Q: A function is given. f(x) = 2x - 4; x = 2, x = 3 (a) Determine the net change between the given…

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Q: 6x-7 The total cost (in hundreds of dollars) to produce x units of perfume is C(x)= 5x+1 (a) Find…

A: C(x)=6x-75x+1(a) aversge cost(C¯(x))=C(x)x

Q: Use implicit differentiation to find the following. (If only the x-coordinate is given, you must…

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Q: Find √ √ (4x + 5y)dA where D = {(x, y) | x² + y² ≤ 9, x ≥ 0} D

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Q: 4 2 find all of the critical points of z = =+ = -xy. Identify each Y local minimum, maximum, ora…

A: Partial derivative of any function refers to its derivative with respect a particular variable. For…

Q: 5. Consider the region R bounded by y=1-x² x = 0 and y = 0 [This region is used to answer questions…

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Q: A particle moves according to the equation s(t) = 6 - , t > 0. Find its acceleration at time t.…

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Q: Assume that the fucntion f is continuous for all x. If f'(-1) = 0 and f''(-1) = 0, then the point…

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Q: 3x - 5 The total cost (in hundreds of dollars) to produce x units of perfume is C(x) = 9x + 2 (a)…

A: Solution is given below:

Q: Use the following function along with its first and second derivatives to do the following: A. Find…

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Q: For the equation, use implicit differentiation to find  dy dx. (x − 3)(y − 3) = 4

A: Given query is to find derivative.

Q: still can't understand. please provide more info

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Q: as the area of the spill changing in m²/min between the time the spill was noticed and the response…

A: we will find the required.

Q: Find the rectangular points.  (3,-120°)

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Q: d. y=191og74t e. g(x)=sin ¹(7-x) f. y = ln 1+x² xex

A: Derivative

Q: Find the absolute maximum and absolute minimum of the function f(x, y) = 2x³ + y on the region {(x,…

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Q: lim 104 sin 3x x

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Q: Gravel is being dumped from a conveyor belt at a rate of 20 ft3/min, and its coarseness is such that…

A: Given query is to find the rate of change of height.

Q: 1. An open box (no lid) with a square base has a volume of 4 cubic feet. What dimensions will…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Find D53 te (₁² +²²²) 20-²). Note: Read "D" f(x)" as "the nth derivative of f(x)"

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Q: Question: When you are evaluating the integral Which substitution can you use Which factor you have…

A: Please see the below answer.

Q: Use the binomial series to find the Maclaurin series for the function. 1 (1+x)4 f(x) = = Σ n = 0…

A: The given function is: fx=11+x4fx=1+x-4  Use the binomial series to find the Maclaurin series for…

Q: You've decided to sell sweatshirts for the upcoming game. You project that at a price of $29.04 per…

A: It is given that, At the price of $29·04, 180 shirts are sold and at the price of $21·84, 280 shirts…

Q: ▷ Find the parametric equations of the tongent line to the curve of intersection of two surfaces:…

A: Solution below

Q: 15. g(0) = sin² 0

A: Given query is to find the critical number.

Q: 4 3 3x(x + 6)² = x²(6)(x + 6)³ (x + 6) ²

A: Given query is to simplify the expression.

Q: Consider the following graph of the second derivative, f" (x), for some function f(x): f"(x) -6 fr…

A: Given:  The graph of f''x is given.  To Find:  To determine the true statements about the function…

Q: 16. Evaluate the limit for the graph: lim f(x). a. b. 3 | w 14 -1 4 -2 -2 0 +2 4 2 4 _0<x C. 0 els…

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Q: Use the chain rule to find and, where First the pieces: дz dr dr მs ду მა || 11 11 9- = 94 And…

A: z=x2+xy+y2x=4s+4ty=8s+7t∂ ∂x(xn)=nxn-1∂ ∂x(constant)=0

Q: A small business buys a computer for $2500. After 4 years the value of the computer is expected to…

A: Note : as per guidelines we support only three subparts of the question. Kindly repost next question…

Q: ax+b 14. Given f(x) b-ax =

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: ke for this investment to reach a value of $11,800.00?

A: Given query is to find the investment to grow 11800.00

Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval.…

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Q: ㅠ 4 So - 2x e sin 4x dx

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Q: ...t-1-prod-fleet02-xythos.content.blackboardcdn.com 1. [DA4a] Consider the function f(x) = below…

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Q: Write (but do NOT evaluate) the iterated integral that gives the volume of the solid bounded above…

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Q: f+lc 2. A conical oil tank with vertex down has a radius of 24 feet at the top and is 36 feet high.…

A: Given: The radius of the oil tank =24 feet.Height of the oil tank=18 feet3.