The second derivative OF a certain function is 4X, the equation of the curve if its slope is -3/4 point (-2,-1). the Find at

Q: Assume f and g are inverse functions. Which of the following statements is/are true? 1. y = f(x) if…

A: Please see the below picture for detailed solution.

Q: 4x² 16x – 9y² – 72y — 164 = 0

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Q: If f(x) = In x where x > 0, what is In r 2 1 2√ ln x O 1 2x ln x 1 2x 1 d (f (√)). ? dx

A: Given: fx=lnx To find: dfxdx Now, first we need to find fx fx=lnx ⇒fx=lnxy2 ⇒fx=12lnx

Q: Refer to the graph of y = f(a) with secant line PQ and tangent line PS. O PQ O PR O QR OQS OOO…

A: By the definition of dy  dy = f(x+ ∇ x) - f(x)

Q: Which of the following is the linear approximation of f(x) = sin x at x = ? OL(x) 1 OL(x) = x OL(x)…

A: Given f( x )= sinx at x = π2linear approximation L( x ) = f( a ) + ( x - a )f'( a )

Q: Find the linear approximation to the equation f(x, y) approximate f(6.28, 4.16). f(6.28, 4.16) xy at…

A: Given  fx,y=5xy6 The objective is to find the linear approximation to the equation.

Q: Evaluate the indefinite integral f7 sin 7 sinº t cos tdt = Submit Question Jump to Answer

A:

Q: For the given cost function C(x) = 52900 + 800x + x² find: a) The cost at the production level 2000…

A: Given, Cost function C(x)=52900+800x+x2

Q: The cost C'(x), where is the number of miles driven, of renting a car for a day is $48 plus $0.95…

A: Let's find linear function.

Q: Find the critical point of the function f(x, y) = -2 - 7x - 8x² + 4y + y² This critical point is a:…

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Q: What is the standard form equation of an ellipse that has vertices (-2, -18) and (-2, 8) and foci…

A: Here is the solution

Q: Given the ellipse (x+3)² (y-7)² 100 49 what are the vertices and co-vertices of the ellipse? Select…

A: we need to find the vertices and co-vertices of the given ellipse.

Q: 2. Find the absolute maximum and absolute minimum values off on the given interval. (a)…

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

Q: Find d da [e³²2²] dx 6xe ³x² e ³x² 6x e ³x² 6x (eª) (e³²²) (3x²) (6x)

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Q: 1. Find the length of the given curve: 3π x = 3 cos 0, y = 3sin 0,0 ≤ 0 < 2 L = So √ dx dᎾ . 2 + 2…

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Q: On which of the following intervals can the domain of y function will be defined? 0 10,1 O [T, 2π] O…

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Q: If f(x) = tan 13m-cot¹3x, what is f'()? 0-3 01 3 0-1

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Q: Find the 2nd-order Taylor polynomial for In(1+x) centered at a = 0.

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: Find the points at which the following polar curve has a horizontal or a vertical tangent line. r=2…

A: The given polar curve is r=2sin(2θ). The objectives are to calculate the points where the tangent…

Q: A brick wall makes two legs of a right angle, one 32 feet long and the other 72 feet long. A…

A: Let's find maximum area and it's dimensions.

Q: The graph below is the function f(x) -5-4-3-2 Find lim _I-a Find lim x →-1+ Find lim #→-1 Find f(1)…

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Q: Which of the following graphs show a removable discontinuity? (Select all that apply) U e

A: Please see the below answer.

Q: Use double integral to find the area of the region bounded by the one leaf of the rose r = a cos 20.…

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Q: Find the area of the given region. Use a graphing utility to verify your result. y = 1 + In x³ X y 1…

A: We can find the area of the region .

Q: Volume generated by x² = 4y, y = 0, x = 4 and rotated with respect to the y axis.

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Q: Center: Radius:

A: Given query is to find centre and the radius of the circle.

Q: A chicken farmer has 64 feet of poultry netting to enclose in a rectangular chicken coop. One side…

A:

Q: DETAILS GHCOLALG12 1.5.018.MI. oriental rug is 5 feet longer than it is wide. If the diagonal of the…

A: Given query is to find the dimensions of the rug.

Q: Write a polar equation of a conic with the focus at the origin and the given data. ellipse,…

A: As we know that polar equation is r( θ ) = ed1+ esinθGiven ( r , θ ) → ( 1 , π2 ) e = 0.1

Q: Find the Horizontal and Vertical asymptotes for the following function. Explain/ use a limit…

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Q: Differential equation: Families of Curves * w/ complete solution and sketch. Obtain the…

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Q: d (sec-¹(2)) is equal to O O 1 2 √√4-1 1 In 2√4-1 O 1 √4¹-1 In 2 √4-1 In 2 2√4-1

A: Solution: ddxsec-1(2x) Apply the chain rule : df(u)dx=dfdu·dudx f=sec-1(u), u=2x =ddusec-1(u)ddx(2x)

Q: Area between x² = 4y and x = 2y

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Q: Y = f+₁ + fot-, h= 71

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Q: Find the critical numbers of the function. (a) y=x³(x-4)², x=(-∞∞) (b) g(0)=40-tan 0, 0[0, 2π]

A: (a) given function is  f(x)=x45x-42now    f'(x)=ddxx45x-42   f'(x)=45x-15x-42+x452(x-4)f'(x)=…

Q: Evaluate the indefinite integral. 4 (t + 12) 4 -dt Question Help: Video Submit Question Jump to + C

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Q: a) Find the radius and convergence of the following: xn Σ (n!)2 η=1

A: Given the series is ∑n=1∞xnn!2

Q: Find lim Le sin x] if the limit exists, where [-] denotes the greatest integer function. See page…

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Q: Find the area of the region bounded by the given curves. (6,12) Sh D

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Q: 25) Find the most general antiderivative of f(x) = -1/ =

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Q: (3) Find the derivative of the following in terms of x and then find the second derivative. sec(y-x)…

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Q: Solve the problem. 1 -3 0 13 Let A = -4 0 2 and b= 14 4 5-4 -45 Define a transformation T: R³ -> R³…

A: We can solve this as follows:

Q: 1) Determine the solution of the differential equation dy x +y = r² + r da

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Q: a) Show how to find an expression for cn = f(n) (x) if f(x) = ln x. b) Use this expression to write…

A: Given that f(x)=lnx. In order to find the expressioncn =fn(x) Differentiate the given function with…

Q: #1₁ S (3) Find d dt 1+ t²

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Q: EXAMPLE 9 Find the Maclaurin series for the function f(x) and its radius of convergence. 1 4- X…

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Q: A large rectangular movie screen in an IMAX theater has an area of 9,064 square feet. Find the…

A: To find the length and width.

Q: Find

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Q: = Find the area of the region that is completely bounded by the two curves f(x) = g(x) = x² − 7x +…

A: Given query is to find the area of the region.

Q: Use the Laplace transform to find the charge q(t) in a series RC circuit when q(0) = 0, E(t) =…

A: The given differential equation is: Rdqdt+1Cq=E0e-kt The conditions are given as:…