Use the arc length formula 2 dx 2 L = dy dt dt dt to find the arc length of the curve. x = cos 12t, y = sin 12t (0

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Q: 13. the , xydA, where ySxsy?}

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A: Follow the procedure given below.

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A: The given integral  y=2∫-rrr2-x2dx  Can be solved using integration formulas given below…

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A: This question is related to double integral , we will solve it using given information.

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Q: Find the general or particular solution, as indicated, for the following differential equation. dy -…

A: dydx=-0.4 ydyy=-0.4 dxvariable separable;∫ dyy=-0.4∫ dxln y =-0.4 x + ln cy=c e-0.4 x

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A: NOTE: Refresh your page if you can't see any equations. . here we have

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Q: evaluate

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Q: 2. A dosage of Q units of a certain drug is administered to an individual every four hours. Assume…

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Q: 10) For y= vx+8, use the differentialE dy to approximate Ay when x changes from x =1 to x 0.97

A: This question can be solved using the concept of linear approximation.

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Q: Moha Q1: Use Green's theorem to evalute f. (xy + y2)dx + x²dy by the curve y x and %3D y = x2.

A: The objective of the question is evaluate the given integral.

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Q: The graphs show the position s, velocity v = ds/dt, and acceleration a = d²s/dt2 of a body moving…

A: The graphs show the position s, velocity v=dsdt, and acceleration a=d2sdt2 of a body moving along a…

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A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: Find the centroid of the region R bounded by the graphs of y x and y 1. 1) Which of the following…

A: To find the area of the region R.

Q: 5 Evaluate the integral 2x cos(xy)dydx 4 0.

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Q: 8. Let y(x) be the solution of the differential equation ry-y-Ina such that y(1) 1. Find y(2). A…

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Q: 1 1) [ (tan³ 0 + tan³ 0) e-tan º d0== 2 (-1)" n! (In x)" dx= (m + 1)"+1 ·

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

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A: We have to find the following conditions according to the given graph of the function

Q: Calculus Use the formula for the derivative of the inverse to find (ƒ ')'(1), where f(x) = 4…

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Q: dx 1- cos 2x

A: The given integral is ∫dx1-cos2x Now,        cos2x =1-2sin2x       ⇒  1-cos2x=  2sin2x…

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Q: The marginal price for a weekly demand of x bottles of shampoo in a drugstore is given by the…

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Q: 2x2 1) Given: f(x)= 48(3x +16) f"(x)=- (² –16) -8 -48x s'(x)=: (x² -16) x-16 a) Determine any…

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A: See below the answer and calculation

Q: 2016 N Q3 -= V3-3. V3 - 1 a Without using a calculator, find the integers a and b such thất V3 +1

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Q: utilize the characteristic equations method to solve the equation y''-5y'+3y=0 y(0)=3, y'(0)=-1

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Q: Using u = 2 + 2x*, then the integral x³(2 + 2x4)3 dx becomes 1 u3 du- 8 This evaluates as 1 1 8 12

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Q: 6x3 + 7x7 – 8x³ – 8. Consider the function f(x) An antiderivative of f(x) is F(x) = Ax" + Bx" + CxP…

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Q: 9. Given arbitrary matrices A, BE RXn with n> 1, select the c of A and B). 1. tr(AB) = tr(A)tr(B) 2.…

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Q: 5. Suppose that f(n) satisfies the equation 5. f(m + n) = f(m) + f(n) – 2f(mn) for all integer m,n…

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Q: 5) Sand pouring from a chute forms a conical pile whose height is always equal to the diameter. If…

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Q: 2 sin (arcsin 0) = _____. -2 0 2 90

A: sin(sin-1x)=x  only when x∈ -π2, π2x=0 ∈  -π2, π2

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A: Given: (3,2)

Q: Determine the series' radius of convergence and interval of convergence: n-1 n | 1) n5" n=1 00 2n 2)…

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