Find the vector equation that represents the curve of intersection of the cylinder x² + y² 4 and the surface z = x+4y. = Write the equation so the x(t) term contains a cos(t) term. x(t) = y(t) = z(t) =

Q: R 2) Evaluate the double integral ff (x² + y²) dA over the region bound by 9 ≤ x² + y² ≤ 25 by…

A: The objective of this question is to evaluate the double integral of the function (x² + y²) over a…

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A: Approach to solving the question: Detailed explanation:

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A: By using Newton's method to find  by starting with for thefollowing equation.

Q: Find the coordinates of the local minimum of the function f(x) = x²+3x²+5x.

A: The objective of this question is to find the coordinates of the local minimum of the function f(x)…

Q: Find the coordinates of the local minimum of the function f(x) = x²+3x²+5x.

A: The objective of this question is to find the coordinates of the local minimum of the function f(x)…

Q: Estimate the limit numerically or state that the limit doesn't exist: lim 2-1 h→0 h (Enter DNE if…

A: If you have any questions let me know in comment box thankyou for your question.

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A: Solve for each area.A1 A1 = ½(b1 + b2)h = ½(1 + 3)(2)A1 = 4 unit2  A2 A2 = bh = 1(3)A2 = 3 unit2  A3…

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Q: dx² dx 543-5+ y = 0; y(0) = 4y'(0) = 0

A: To solv the following initial value problem.

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A: Step 1: Step 2: Step 3: Step 4:

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A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

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A: 1. Circumference of a circle.

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A: To solve the following initial value problem by using separation of variables.

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Q: 3.) Find the indefinite integral: √ 3π² + 3x √1- 3 + dx x²

A: Step 1: Step 2: Step 3: Step 4:

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A:

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A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

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A: Step 1:Its graph is  Step 2: Step 3: Step 4:

Q: 2. (a) Convert from cylindrical coordinates to Cartesian coordinates. Give exact answers (no…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

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A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: I need help with question 4.

A: Approach to solving the question: Detailed explanation:

Q: Use the quotient rule to find the derivative of the following. 2 8x +9 y= 2 x +5 dy dx =

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A: given integration

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A: The formula for the average rate of change is: Average rate of change=b−af(b)−f(a)​ Where: a is the…

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A: sin(x−y)=6533​

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A: Step 1:Step 2: