Problem 3. A boat on the ocean is 4 mi from the nearest point on a straight shoreline; that point is 6 mi from a restaurant on the shore. A woman plans to row the boat straight to a point on the shore and then walk along the shore to the restaurant. If she walks at 3 mi/hr and rows at 2 mi/hr, at what point on the shore should she land to minimize the total travel time? 4 mi 6 mi

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A: Given

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A: The given integral is; I=∫07xx2+13dx   ....(1) As we know the Power Rule: ∫xndx=xn+1n+1+C

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A: e-y sin x-dydx cos2 x=0⇒dydx cos2 x=e-y sin x⇒ey dy=sin x cos2 x dx⇒ey dy=sin x cos x·1 cos x dx⇒ey…

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A: The summation of 2n-1/3n+2, n from 4 to infinity.

Q: 3. Given that 2 = 6²¹ sin (u + ), e2v Use chain rule to find az/0x when x = 0, y = 0. u=e¹ - sin (y…

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A: By Gauss Jordan elimination

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Q: aces)

A: We will find the value of the integral

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A: We know that, Suppose that x=c is a critical point of fx then, If f 'x<0 to the left of x=c and f…

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A: Given; The side adjacent to angle A has length 4 and the side opposite angle A has length 14.

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Q: A given partial fraction B can be evaluated as: A) 6/23 B) 7/35 C) 8/85 (D) 13/85 2x (x-1)(x+4)(x²…

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A:

Q: 11) Suppose that B, (fix) be the Bernsten polynomial. Then ((B₂B)(t.:x) = (b) x (c) x² (d) No Answer…

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A: Just use the definition of improper integral of first and second kind and find the required…

Q: 6. (10 points) Give the equation of the tangent line of the following function at point a = 1: xe…

A: Solve by Differentiation

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A: The solution is given in the next step.

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A: To find the area of the region bounded by the curve y=x3-3x2-x+3 and x‐axis from x=-1 to x=2.

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A: Solution:

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A: A bicycle with 24-inch diameter wheels is traveling at 16 mi/h.

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Q: 9. f √x³-1dx x

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Q: 7. Find the points on the curve y=-x where the tangent line is parallel to the line y= 3x

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Q: 4 2 dx : 5₂² In evaluating is same as evaluating lim cos-¹(f(x)). Determine the value of f(x) if…

A: