Question 19 : The area of a healing wound is given by A=πr2. The radius is decreasing at the rate of 2 millimeter per day at the moment when r=30. How fast is the area decreasing at that moment?

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A: We expert are following guidelines we are supposed to do the first question. Please put another…

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Q: The value of x for which the series A. 2<x<3 or 3<x<4. B. x <2 or 4<x. C. None of the choices in…

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Q: 2. Using your calculator, determine how many solutions the system has. Then without a calculator,…

A: This question is based on solution of Polar function.

Q: The integral can be rewritten as 6u³ (a). u + 1 6u4 (c). u² + 1 :). -du du dx 3³√x + √√x 派 派 6u² u²…

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Q: Q4) Find the maximum eigen value for the system 4 = x¹ (0) = (1 1) 4 with initial vector

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Q: IV.Sketch the ff. curves: Find all its properties. X 1. y= In x

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Q: f(x): = Opción 1 5x² - 8x + 15 3x² + 6x 12 y Opción 3 || సా || I 5/3 3 5 Opción 2 Y Y Opción 4 ||…

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Q: (Inverse Trigo, Higher Order Derivative, Chain Rule) Directions: Find the derivative of the…

A: The given problem is solved below in detail.

Q: 13-f(t)=t-cost;

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Q: A light is placed on the ground 30 ft from a building. A man 6 ft tall walks from the light toward…

A: This question is based on application of derivative.

Q: terval of convergence of the series Σ(√n+1-√n)(x+2)" is given by -3<x<-1.

A: It is convergent when  |x+2|&lt;1  -1&lt;x+2&lt;1  -3&lt;x&lt;-1

Q: 1. If find the value of a. L²Lke + (x + 2y)dydr = 10, a

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Q: H.W (3) Find Laplace Transform for 1-f(t)=te"; 2 3-f(t)=e" sin 3t; 5-f(t)=(2t+3e² + 4sin 3t);…

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Q: Consider the ODE: dy xtan (7) + y dx a. Show that the ODE is a homogeneous first-order ODE. b. Solve…

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Q: 3. f(x) = x²-1 2x+1 if'(1)

A: Solution is here

Q: x² 8. (x) tan 3x+cot 3x 9.f(x) = 2 sin 4x cos 4x =

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Q: 3. Convert the following polar coordinates to rectangular coordinates. 7π b. C. a. -3,- 2. 2…

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Q: The region is bounded by y = x³, y = 2x + 4 and y = -1. Then Arearegion = [₁ f(x) dx + ["40 + [~…

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Q: Hwy find the integration 3 Se vadv V 1-

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Q: The value of the integral in terms of u is? (a). 2u³ + 6u + Arctanu + C (c). 2u³-21n|u³ + 1| + C dx…

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Q: Use Lagrange multipliers to find the critical points and the relative extrema. f(x,y,z) = x² + y² +…

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Q: A manufacturer is planning to sell a total of 500 machines to both foreign and domestic firms. The…

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Q: Find the solution of y" − 8y' + 16y = 0, y(0) = 1 and y'(0) = 5. y(t) = Ae4t + Be-4t y(t) = e4t+te4t…

A: The given equation is;  y''-8y'+16y=0, y(0)=1 and y'(0)=5.

Q: Solve of the following deferential equations r sin 0d0 + (r.³ – 2p2 cos+cos) dr os 0) dr = = 0

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Q: Consider the series Σ(-1)^ 2³ Which ONE of the following statements is CORRECT? n=1 3" OA. The…

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Q: Let L(r) be the linearization of f(x) = sin x + 1 at the point x = . Find L(π/2).

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Q: Ifv= U (x² + y² +2²), then 025 + 0 + 02 is dy² 0 0 01 1 O-1/2 O Other:

A: Here we have to do the partial differentiation of the given function.

Q: The power series representation of f(x) = n(x²-1) is given by ΑΣ (-1) -1. I =1<x<l #ΞΙ 8+1 B. None…

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Q: What is the value of f(1) + g(1)?

A: This question can be solved using integration by parts.

Q: What is r = -12 2 cos 0-7 sin e 2y - 7x = -12 in Cartesian form? x² + y² = -12 2x-7y

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