A boat leaves a dock at noon and heads west at a speed of 25 km/h. Another boat heads north at 20 km/h and reaches the same dock at 1:00 p.m. When were the boats closest to each other? 12.23 pm 12:35 pm 12:45 pm none of the above

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A: Solution

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A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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A: Topic = Limits

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Q: Q1. 02. Evaluate the improper integral: 8 1 Se x(lnx)³ dx Evaluate the integral by integration b

A: As per bartleby guidelines we only give first question answers.

Q: Z=√2(cos135+isin 135)

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A: Let  I = ∫0π2 5 sin 2x 2 + cos x   dx

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A: Given: I=∫13x2cos4x3dx   ...1   As we know that; ∫a·fxdx=a·∫fxdx, where a is constant.

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Q: Qy integration value Equal? @ (√x-1)² + ( 2 Q 2 (√x-11³ 3 @ → (√x - 1)³ + ( 3 Not of the above + C S…

A: To solve the given integral.

Q: 15 4 3 2 1 1 1 2 3 4 5 To find the blue shaded area above, we would calculate: f(z)dz = area J₁b =…

A: This question is based on application of integration.

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A: This question can be solved using the concept of vectors and three dimensional geometry.

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Q: the differential equation. (2x² + 3y²-7)x dx - (3x² + 2y²-8)y dy = 0

A: We have to solve the given differential equation.

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Q: Find the limit: lim (z,y) → (3,3) 4x4 - 4y4 x² - y²

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Q: Consider the element σ = (123)(145) ∈ S5. (a) Write σ as a product of disjoint cycles. (Hint: It may…

A: We can solve as follows

Q: A) For the functions below Find fx. fy fy and fy (Answer the Mary). 1)f(x, y) = x²y + cosy + y sinx.…

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Q: Evaluate the iterated integrals a. (x-y)dydx b. cos y dxdy

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Q: olve the given differential equation by separation of variables. y locx) -(+1)² yIn(x)

A: A detailed solution is given below.

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Q: dy ex sin² ey f • TAN e +c - 3

A: To determine whether the given statement is correct or not.

Q: x=y² - 4y and x=2y-y². (-3,3) -4 -3.5 -3 x=y² - 4y -2.5 -2 X= = 2y-y² -1.5 -0.5 2.5 1.5 1 0.5

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Q: B: Solve the following differential equation by Laplace: ²+2+5y = e-¹ sint .y(0) = 0,(0) = 1 dx

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Q: For numbers 14-16: Given: f(x) = |x-5| |x-5|dx 14. Find A. 3 B. 4 C.9/2 15. Find ₁ |x-5|dx A.15/4…

A: Above question is solved.

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Q: -X f(x) = 9x² 9x² x-3 if x ≤ 0 if 0 3

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Q: Eliminate the arbitrary constants of the following. Simplify your answers.  5. y = c1 cos2x + c2sin…

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Q: Q5/ A: Use Linear Regression to fit the following experimental data X 0 3 2 3 1 6 Y 5 1 2 10 9 8 5…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Q5/ A: Use Linear Regression to fit the following experimental data X 0 3 2 3 1 6 Y 5 1 2 10 9 8 5…

A: Note: Hi and thanks for your question! Unfortunately, as per our guideline, only one question should…

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Q: Given : f(x) = │x-5│ 14. Find ∫ 86│x − 5│dx

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