Find the constant a such that the function is continuous on the entire real line. 7sin x 0 = g(x) = a-8x If x < 0 If x 20

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Q: .1.2

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Q: 2 ƒ² ƒ² (x − 3y²) dydx = −12. - Select one: O True

A: ∫02∫12x-3y2dydx=∫02x-7dx=-12

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A: We know, ∫abf(x)dx=-∫baf(x)dx

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Q: 2²2 +2²2² = 12 25 (a) Find the vertices, foci, and eccentricity of the ellipse. (x, y) = (-5,0 (x,…

A: The equation is  x225+y29=1

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A: This is a integration problem

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A: Here, the given parametric equation is: x=2cos(θ), y=2sin(θ), for θ∈[0,2π]

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Q: (d) Determine whether the alternating series converges or diverges by using the alternating series…

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Q: Evaluate the integral ¹ f√x xdydx Select one: O -1/10 O None of those

A: ∫01∫0xxdydx=∫01xxdx=25

Q: 2. Given a tetrahedron with vertices (0,0,0), (3, 0, 0), (0,6 0), and (0, 0, 4). Express the volume…

A: Given:- A tetrahedron with vertices (0,0,0), (3, 0, 0), (0,6 0), and (0, 0, 4).

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