Find the direction angle of a vector whose initial point is (7, -2) and terminal point is (4, 3). Approximate your answers to the nearest hundredth. Use the paperclip button below to attach files.

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Q: Derive using the long method. x² - 5 2x4 x =

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A: First curve r= 3cos(theta)r= 1+ Cos(theta)

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Q: Let xy - x³ + 15y - 35 = 0. Compute dy. dx dy dx ||

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Q: 79°F Mostly cloudy F1 ! 4 If csc(8) = -6, and 8 is in the fourth quadrant, find cot 8. F2 √35 √35…

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Q: 10 Evaluate tan 8 at the following value: = O 0 0 0 0 tan 8√3 e' = tan 8√3 tan 8= -√3 tan 8= -√3 3…

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Q: Find the derivative of the function at Po in the direction of A. f(x,y) = 8xy-5y², P (5,7), A=8i+15j

A: Given data:We are required to find:

Q: please solve part b

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Q: Differentiate the following function: g'(x) = g(x) = 4x³ + 8x5 + 1

A: Differentiate the following function

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Q: Over time, the output values of damped functions decrease. True False

A: To find the relation of output value of damped function with respect to time.

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Q: 2. Use implicit differentiation to find y' for the curve. cos x sin y = 1/4

A: Givencosx.siny = 1/4

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Q: 3. Consider the function h(t) == (a) Write h(t) as a piecewise function. (b) Evaluate lim h(t) lim…

A: Note: As you posted multiple subparts I need to solve only first three subparts.

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Q: Find the indefinite integral. (Use C for the constant of integration.) 4 √√²+x-6 x² + 8x - 8 dx

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Q: The reciprocal function of sine is secant. O True False

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Q: Question 4 Let −4x² + xy + 3y² - 13x − 8y - 3 = 0. dy Use partial derivatives to calculate > dy dx…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

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A: given function is given interval is [-5,13]

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Q: Let 4x5 + y4 + 5y = 10. Compute ㅛ. dx dy dx =

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Q: Find f such that f'(x) = f(x) = 7 √x f(16) = 70.

A: given

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A: We have to find whether given statement is true or false.

Q: Use implicit differentiation to find y' for the curve. x² + y² = 1/4

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Q: Suppose the second derivative of f is given by f"(x) = : 40(x − 4)²(x² − 64). Determine the…

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