(d) Two boats leave a port at the same time. One boat travels in a direction of N 70°E at 12 mph and the other boat travels in a direction of S 50°E at 8 mph. How far apart are the boats after 1 hour?

Q: Q3. Differentiate f(x, y) = xy² + √√x+y² 2

A: f(x,y)=xy2+x+y2

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A: We know, d/dx (m*xn)=mn(x)n-1 for any real numbers m,n

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A: Suppose f(x)=4/x-2,   f'(5)= ____   Use this to find the equation of the tangent line to the curve…

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A: Please refer to the image below

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A: Explanation of the answer is as follows

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Q: 6. y = 3x - st

A: Given :y=3x-15x3

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A: Given:- f and g are two differentiable functions

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Q: D Question 5 Find dy/dx, given the following: y = | L y P (x²+2x)² 3 (3x²+2) (2³+2x)² + = V (2x-4) 2…

A:

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A: To be found - Functions from given options

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Q: 19) Find the average rate of change of the function from x₁ to ₂. f(x)=x²-8 x₁ = -3 to x₂ = 5.

A:

Q: 2. Find dx/dy if y = √√1+√x 1 -4√√1+√x Option 3 1 4√√√1+√ Option 1 4√x√√1+√x Option 4 -4√√√1+√x…

A: Solve for the dx/dy

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A: Given query is to find the derivative of the function.

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Q: c) lim 818 sin(x+3)

A:

Q: The general solution of the Differential Equation (2x-y²)dx-2x(y²-x+y)dy=0 is -xe2Y(x+y2)=C

A: To determine whether the following statement is true or false.The general solution of the…

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A: Given query is to find the second derivative.

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A:

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Q: [-1 -10e*+e* dx

A: Topic = Integration

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A: find slope Given point ( 2 , 8 ) for x = 2

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A:

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A: Option A is correct the detailed explanation is given below

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A:

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A: Topic = Integration I and III only correct

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Q: 57-62. Transcendental functions Determine the end behavior of the following transcendental functions…

A: As per the guidelines we are supposed to answer only one question at a time. If you want answers of…