Expand the expression sqrt34cos(7x-C), where C=arctan(5/2). Final answer should have the format Asin7x+Bsin7x.

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Q: D Question 3 Let P = f(t) be the population of the United States, in millions, t years after January…

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Q: 3. Given u =(3, 10,-8) and v = (-1,6,4), a) find 3v--u

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Q: 4) Find equations for the planes: a. The plane through P(0,2,-1) normal to n = 3i-2j-k

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Q: Let u = cos(4x) and du = e2x dx, then by using IBP, the integral 1 (a) — e²¹ ²² c cos(4x) +2 SC.²2.…

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Q: Find the differential equation such that y(x) = c₁(x-4)³ + c₂ln(x-4) (x-4)² 64x²d²y + 2 +60x+y=0 dx²…

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Q: We know that F is an antiderivative of f, so to: O a) lim (F (b) - F(a)) a 0 Ob) lim (F (b)-F (a))…

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Q: Q6) Determine if the following integrals converge or diverge. If the integral converges determine…

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Q: If G is an antiderivative of the function g, so the following integral is equal to what option? 1-26…

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Q: Find the given limit. 2 X-4 lim 7-x X--7 Select the correct choice below and, if necessary, fill in…

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Q: Find the general solution of the given differential equation. y’’+6y’+3y=0 topic: complex roots of…

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Q: Find the integrating factor by inspection then solve.  x(x2 - y2 - x)dx - y(x2 - y2)dy = 0

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Q: an integral corresponding to the area of the region bounded by the curves of the functions f and g…

A: f(x) =x2 -4x  g(x) = -x2 here area function = f(x) - g(x) = x2 -4x  -(-x2 ) = 2x2 - 4x

Q: Evaluate the given integral by changing to polar coordinates. Sk (4x - y) dA, where R is the region…

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Q: 1 50° || 5 1191 10% what is

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Q: How would you find g (A) if a) g (x) = 1. b) g (x) = (x + 1)2 . c) g (x) =⌊ (2x + 4)/3⌋ Where A =…

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Q: Suppose that f and g are functions that are differentiable at x = 1 and that f(1) = 4, f'(1) = -3,…

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Q: When applying trigonometric substitution in the integral: x5 J S -dx √4x² J is equivalent to: O a) […

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Q: For the function below, find (a) the critical numbers; (b) the open intervals where the function is…

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Q: Use the graph of the function f shown to the right to find f(-1), f(0), and f(1). f(-1) =

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Q: D Question 16 Which of the following must equal f'(5). f'(x) - f'(5) lim f(x)-f(5) f(x)-f(5) lim 20…

A: Use l' Hospital rule