] Find the unit vector whose j and k components are both positive and equal to one another and that is orthogonal to the vector v = (4,-1, 3).

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A: We have .Now, we need to find f_x(x, y) and f_y(x, y).

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Q: 1. Indicate if each statement Is True or False. Write the word True or False not T or F. a) b) C) d)…

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Q: S ∞ 1 1 x2 ax

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Q: (-8,2) (-2,0.7) 10- (-6,-2) (-3,-2) 10

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Q: First, compute the gradient of the function p(x,y)=√23-4x²-3y². Then evaluate it at the point (2,1).…

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Q: Prove one of the following formulas from the table of integrals: S: √a²-x²2 a²x + C dx x²√a²-x²

A: Note :-Since you asked multiple questions , according to our policy we can solve only first question…

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Q: 12. Compute the derivative of f(x)= = (a) The quotient rule (b) The product rule I for constant n…

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A: The equation of the line passing through the point (a,b) and slope m is given byy - b = m ( x - a)

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Q: O с 5. Given the function below, what would be the domain of the function's inverse? 1/2 -0.5 ≤x≤0.5…

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

Q: Use integration to find f(3) if df dx = 3x 1/2 and f(1) = 5.

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Q: 2 Determine and classify the critical point(s) for the function g(x) = x²(x − 3)²³.

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Q: If F(x)=4-x and g(x) = 2x +3, find a value of such that F(x - 2) = g(2x). 40 22/10 0-2 O 0-1/3 O LO…

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Q: Find and simplify the difference quotient f(x + h) − f(x) for the following function. h f(x) = -3x +…

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Q: For the function y = 3x², find the average rate of change of f (x) on the interval [1,4]. 20 15 O 5…

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Q: Find the first partial derivatives of the following function. s+ 3t s-t f(s,t)=-

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Q: 3a) Determine whether or not the function below is differentiable at 0 by using the definition of…

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Q: Given f(x) = 2x² + 1 and g(x) = 4x - = 4x - 6, find the following. (a) f(g(2)) (b) f(g(x)) (c)…

A: Given functions are,Under guidelines we are suppose to answer only 1 or 3 sub parts.

Q: Using the Washer Method, compute the volume of the solid of revolution generated by revolving the…

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