Determine the point(s) (if any) at which the graph of the function has a horizontal tangent line. (If the function has no horizontal tangent line, enter NONE.) y = -8x + ex (x, y) = (2.0794,-8.6355 )

Q: The integral sin(x - 2) dx is transformed into fg(t)dt by applying an appropriate change of…

A: Given :- ∫02sinx-2dt  is transformed  into ∫-11g(t) dt

Q: 24. g(t) = t³ + 4t

A: Solution: g(t)=t3+4t The derivative of g(t) with respect to t is defined as limh→0f(g+h)-f(g)h

Q: 400 - e 1 2x dx= dx, x < In 20 2x 400-e (Type an exact answer.)

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Q: -ind the position and velocity of an object moving along a straight line with the given…

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Q: II) Given: • tan a = 2√6, a € [0, π] •cos 3 = 3 5' Find the numerical value of the following: and…

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Q: A box with no top and a square base has to be designed so that its volume must 108 cm³. Find the…

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Q: Find the curl of the vector field F. F(x, Y, 2) = arcsin yi+ V1 - xzj + yêu y²k

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Q: Find a bound for the error when approximating the series Round your answer to six decimal places.…

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Q: Show in paper. Find the integral of (2xcot(x) csc²(x)) dx.

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Q: lim t→∞ - 4t9 t² - 9t + 5

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Q: Outside temperature over a day can be modelled as a sinusoidal function. Suppose you know the…

A: The general equation of function of temperature is given by÷ D=asin[bt-c]+d Now we need all the…

Q: 6.0 and a are each acute angles in standard 12 13 position. sin0 = and cosa = 3 5 a. Determine cos(a…

A: We need to determine given angles.

Q: Problem 16. (a) Calculate the following antiderivatives: //=/ dx = (b) / -55 (c) / 2e" dx = [ -5 sin…

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Q: Determine the limit of the given sequence: sin (159) an = If the limit does not exist, enter Ø. If…

A: Use limit

Q: Evaluate the following integral or show that it is divergent. 0 -√x VX dx

A: Explanation of the answer is as follows

Q: Consider the marginal cost function C'(x) = 400+ 12x -0.01x². a. Find the additional cost incurred…

A: Given  C'x=400+12x-0.01x2

Q: on (2.41. A(x) = Incorrect

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Q: Given the initial condition y(0) = 2, find the particular solution of the equation exy' - 2x = 0…

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Q: sin 125Cos 65- cos 125sin 65 find exact value

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Q: Determine the interval of convergence of the given power series. n xn Σn=0 9nen Provide your answer,…

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Q: Consider the function below. f(x) = √64-x² What is the Domain? What is the Range? Enter your answer…

A: Domain of  64-x2 :We must have 64-x2≥0So,  Solution:  -8≤ x≤ 8  Interval Notation: -8, 8

Q: (2) √ 2²² dx S 9-x² (2) > fx(x + 1)¹ dx

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture and a…

Q: -95A + 20B = 40 -20A- 95B = -190

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Q: Find all numbers c that satisfy the conclusion of the mean value theorem. f(x) = 2x2 - 5x + 1, [0,2

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Q: If the point (4,-7) is on the terminal side of the angle in standard position, sin (0) = cos(0) tan…

A: Here we have to find the value of trignometric functions.

Q: please answer with 10 minutes and kindly write the answer neat and clear. thank you

A: Two lines is said to be parallel if the two displacement or direction vectors are multiples of each…

Q: If the rate of change of N is inversely proportional to sec(x)- N where (-<x<). If N(O)=3, and N() =…

A: Note:- These are multiple questions and according to company guideline we can do maximum 1 questions…

Q: Find the sum. 6 Σ k k = 2

A: Here we have to find the sum.

Q: 6. If y is a differentiable function of r and 24 + 2y5³ 5y2, then find - dy da

A: The given equation is x4+2y5x3=5y2

Q: 2. Find f f'(x) = (x + 1)/√x f(1) = 5.

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Q: 29. a) 5) The displacement of a particle is given by the equation s = 1³-152² + 63t, where s is…

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Q: A rancher plans to fence-in a rectangular corral adjacent to a river for a herd of cattle. The…

A: We have to find the length of sides and area.

Q: Use Stokes's Theorem to evaluate F. dr. Use a computer algebra system to verify your results. In…

A: Here,  g(x,y)=49-x2G(x,y,z)=z-g(x,y)

Q: 72. The volume of a sphere is increasing at a rate of 40 cm3 per minute. Find the rate at which its…

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Q: Find the complete solution of ey sin x dy cos²x = 0 dx

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Q: What is the magnitude of an earthquake 600 times as intense as a standard earthquak

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Q: 4. Determine whether each series is convergent or divergent. If it is convergent, find its sum. 2) Σ…

A: The given series, a) ∑n=1∞3n-12n+1b) ∑n=1∞sin1nc) ∑n=0∞2n+15n

Q: 55. Find the area bounded by r = 4 sin 20 a. a. 4n square units b. 8n square units C d. 4 square…

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Q: Determine the volume of the solid formed by revolving the area bounded by 4y=x³, y=0 and x=2 about…

A: We need to find volume.

Q: (1) f (1) x²(x³ +1)5 (x³ − 1)5 dx -

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Q: 5″ Use the limit comparison test to determine whether the series converges or diverges.

A: We have to check  the seris convergence or divergence

Q: ○ If f(t) = 2 - 9t cos t " find f'(0).

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Q: is this just for #6?

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Q: The rate of change in the number of miles s of road cleared per hour by a snowplow is inversely…

A: The objective is to find s(h).

Q: 2x-4 x²-4x+3 1. Express the function f(x) fractions. Find the interval of convergence. = as the sum…

A: Here, the given function is: f(x)=2x-4x2-4x+3

Q: 3) .  A population of deer inside a park has a carrying capacity of 200 and a growth rate of 4%. If…

A: To find the population of deer at any given time, P(t).

Q: Determine if the Integral Test can be used for the given series. 1 in= √4n+1 a) The Integral Test…

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Q: s²+1 Find the inverse of Laplace transform of log (² (s−1)²,

A: =L^-1[log(s^2+1/((s-1)^2) =2(e^t-cos(t))/t

Q: In Problems 1-5, let R be the region bounded by y = 4-(x - 2)² and y = x. Each problem will describe…

A: Given: Let R be the region bounded by y=4-x-22 and y=x. To Find: 4 To write an integral expression…

Q: Problem 12. Find the absolute maximum and absolute minimum values of the function over each of the…

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