Consider the region bounded by the graphs of x = 0, y = cos(x²), y = sin(x²), and x =

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A: To draw the graph of the following system of equations to find thearea between the curve.

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Q: Ans. y=10 cost + 2 sint-√√2 sin√√2t 5. 2y+3y"-3y'-2y=e', y(0)=y'(0) = 0, y"(0) = 1 8 1 Ans. y 9 -1/2…

A: 2y'''+3y''-3y'-2y=e-t, y(0)=y'(0)=0, y''(0)=1

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A: Use the formula:

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Q: Find u x v, v x u, and v x v. u = 2i + 6k v = 5i + 9j - 2k. uxv (a) (b) vxu (c) vxv

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Q: Evaluate the following definite integral. Jo 0 F|+ ㅠ 4 3 sin x + 2 cos xd

A: The Sum Rule:The Constant Coefficient Rule:, where is the constant.And use the common integrals:

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A: +C

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Q: The size P of a certain insect population at time t (in days) obeys the function P(t) = 300e0.071…

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Q: Two students are working to sketch the graph of the function k(x)=1.5(x−2)2+4 .  Both begin by…

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Q: Given the graphs of polar equations: r = 1 and r = - 2 sin 0, (a) Set up the integral that gives the…

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Q: 6) Show that=1

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Q: F(x, y, z) = (2xz + y²) i + 2xy j + (x² + 6z²) k C: x = t²2, y = t + 2, z = 2t - 1, 0≤t≤1 (a) Find a…

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Q: Consider the following vector field. F(x, y, z) = 3yz lnxi + (9x− 5yz)j + xy³z³ k (a) Find the curl…

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Q: Find the linear approximation for y=sin x at x = 0, and use it to approximate sin(0.3)

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Q: Using the graph of g 'shown below and the fact that g(0) = 150, find the coordinates of all the…

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Q: A forest fire covers 2015 acres at time t = 0. The fire is growing at a rate of 8√t acres per hour,…

A: The fire is growing at a rate of 8t acres per hour, where t is in hours.