Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle. x = 4 - y?, x= y? - 4

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Q: FInd the Laplace transform of a^t

A: We will formula for integration by part.    

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A: topic - mean value theorem

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A: The given integrals are: a) te-2t limit from 0 to infinity.  b) x/(x2-1) limit from 3 to infinity.  ...

Q: У7" — 1)" (10.х n=0

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A: We have to find the formula for ak  and the limit as k approaches infinity for ak+1/ak.

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Q: Which of the following expressions gives the length of the curve y = e3« from æ = -1 to x = 2? • 2 |...

A: length of curve expression is written as.. ∫ab1 + (y')2dx so here y' = 3e3x ∫-121 + (3e3x)2dx ∫-121 ...

Q: 2. Evaluate. th fallowing.integrals.a.fte..seueo.ing.the arder.af.integratren. dyd x Ans..In7)4 .0.t...

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Q: A landscape architect in a botanical garden plans to enclose a 2000 square foot rectangular region a...

A: Let the length= x foot  Breadth= y foot  Area = lb = xy  2000= xy .   

Q: Determine whether the series converges or diverges. ∞ ∑                                         2...

A: Given query is to find series converges or diverges.

Q: The total world population is forecast to be P(t) = 0.0008t3 - 0.0714t2 + 0.81t + 6.04 (0 sts 10) in...

A: The population is given by P(t) = 0.0008t³ - 0.0714t² + 0.81t + 6.04

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A: The given series of summation of 4n+1/[32nn2], n from 1 to infinity. 

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A: Consider 

Q: Evaluate the indicated integrals if b is a positive real number constant. A. ftan () dx B. dx C. sec...

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Q: Find the equation of the tangent line to the curve when x has the given value. f(x) = = ;x = -3 4 O ...

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Q: 3. In (1+ x) Answer: 4: 5!

A: solution:-f(x)=ln1+xf'(x)=11+x,                  f'(0)=1f''(x)=-11+x2,        f''(0)=-1f'''(x)=1·21+...

Q: Compute the indicated derivative. U(t) = 5.1t2 – 1.7t; U'(3) U'(3) =

A: We can find the indicative derivative as below.

Q: Given the function f(1) = 12 Use the Laplace Transform table to convert this function into F(s).

A: Given :- f(t) =t2  To find:- Laplace Transformation of given function

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A: Given problem:- A rectangular package to be sent by a postal service can have a maximum combined len...

Q: Find all the local maxima, local minima, and saddle points of the function shown below. f(x,y) = 9 –...

A: Given:   f(x,y) = 9 - 7√(x2 + y2 )

Q: The slope of the tangent line to the curve y 2x at the point 2, 16) is:

A: As we know that; The slope of the tangent line to the curve is equal to the derivative of the functi...

Q: 6x Find an equation of the tangent line to the graph of y = 2 X +1 at the origin and at the point (-...

A: Given,          The line is y=6xx2+1 at the origin and at the point -1,-3.To find : Find an equation...

Q: x= y? – 4y (-3, 3) x = 2y – y²

A: Solve

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Q: A cookie jar contains 10 cookies - 4 are chocolate chip, 3 are almond, 2 are oatmeal and 1 is a high...

A: Answer -  Total cookies = 10  Chocolate chips = 4 almond = 3 oatmeal = 2  high fibre cookie = 1

Q: Find the derivatives of the following: 1.) x* + 2y = 6x 2.) f(x) = (tan 5x) (x + 2)²

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Q: Find dy/dx if x^3y^2+2xy=x^3

A: Solving the problem by finding the dy/dx of the given expression.

Q: 5. The amount of a certain drug in a persons blood t minutes after admin- istering the drug is given...

A: The amount of a certain drug in a person's blood t minutes after administering the drug is given by ...

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Q: find d^2y/dx^2: y^3=4x^6

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Q: view Policies Current Attempt in Progress An open box is to be made from a 33 ft by 88 ft rectangula...

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Q: Find the derivatives of the following: 1.) x* + 2y = 6x 2.) f(x) = (tan 5x) (x + 2)²

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Q: Study this functicu Pex) =x² is it positive of negative o else • By using the first identification o...

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Q: Sx² – 1, (2x + 1, 3 < x < 10 x< 0 Evaluate lim f(x) if f(x) = x→3

A: Since left and right limit at x =3 not equal then we say that limit does not exist at x=3

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A: Given query is to find inflection points.

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Q: Use differentials and the graph of f to approximate the following. (Round your answers to three deci...

A: From the given graph, we find the values f(1.8) and f(2.08)

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Q: Find for the given function. w= 10z2 e?

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Q: Consider the points A(3, –3, 3), B(4, –5, 1), C(-2, -4, 1), and D(6, 3, –5). (a) Find the volume of ...

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Q: 4 | a sin(3y+ x²)dydx, 2 a) Sketch the domain of integration on an (x,y)-plane. b) Set up the integr...

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Q: Find the area of the region.

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Q: 3 dx dy +zXxgd x = X %3D Ans: y

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