Determine the direction angles for the line with parametric equations x = 5 + 2t, y = 12 - 8t, and z = 5 + 7t, tER

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A: Use instantaneous velocity concept

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A: To find the volume generated by revolving the given area about the given line, using: I To sketch…

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

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A: We can you evaluate the given integral by using the substitution v = ln u

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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: Please see the below picture for detailed solution.

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A: Since you have asked multiple questions in a single request we would be answering only the first…

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Q: Part One. All of the equations listed below are general equations of conic sections. Study each…

A: Above question is solved.

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Q: Repeated Irreducible Quadratic Factors: Examples S 1 v4 + 8v² + 16 dv

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Q: valuate the integral j√16-³ dx.

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Q: Solve the following differential equations of 1 -(- ny) dr. = 0 y J 21 ....... '' ... (y-xy) dx +…

A: Solving using method of seperation of variables

Q: Question 32² If F(x) = √3+ Int dt, what is F"(x)? (Do not include "F" (a) =" in your answer.)…

A: This question is related to differentiation, We will solve it using given information.

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A: As we know that for a right angle triangle tanθ=HeightBaseAnd conversion formula from minute to…

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A: This question is related to tangent to the curve, we will solve it using given information.

Q: X (X+2)5 d x

A: Explanation of the answer is as follows

Q: Solve the following algebraic and trigonometric functions by parts. | a) [ x2cosx dx b) √ xlnx dx c)…

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Q: coplanar.

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Q: Find the absolute extrema of the function f(x)= 8x3+ 81x2−42x−8 on the interval [−8,2]. 1. Find the…

A: Graph: For (1), Given: f(x)= 8x3+ 81x2−42x−8 on the interval [−8,2]. From the graph, it can be…

Q: 7. Solve 2 ( 2y^2 + 5xy - 2y + 4) dx + x (2x + 2y - 1) dy = 0

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Q: 2. If w = f(x + ct) + g(x- ct) show that c²wxx = Wtt C= constant.

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Q: The demand function for a product is given by P(x) = 80 -0.018x, where x is the number of units of…

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Q: 5) Find all values of x for which En=1 nxn (n+1)(2x+1)n converges absolutely.

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Q: Repeated Irreducible Quadratic Factors: Examples 2x² +9 x4 + 10x² + 25 dx

A: The given integral is;  (2x2+9)/(x4+10x2+25).

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Q: Repeated Irreducible Quadratic Factors: Examples Sa++²2a²+1 da

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Q: Assume that the situation can be expressed as a linear cost function. Find the cost function. Fixed…

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Q: Determine which numbers could not be used to represent the probability of an event. Select all that…

A: Here we have to determine which numbers could not be used to represent the probability of an event.…

Q: 3 5 -3 1 12. 0 2 3 1 5 2 1 5 8 T 16. Find a QR factorization of the matrix in Exercise 12.

A: Concept: According to the Gram-Schmidt process,uk→=vk→-∑j=1k=1projuj→vk→ where…

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Q: ▪ Find equation of plane which is containing Points A(2,1,1) and B (7,5,2) and normal to 2 x - 3y -…

A: Please follow the next step.