Supply the missing quantities. Figure Description 0.4 C A 0.6 D C 0.9 D Outcome P(A n C) %3D P(A n D) %3D P(B n C) %3D P(B n D) B.

Q: Evaluate. 5 - 3 (7x + y) dx dy 0 - 4 5 - 3 I (7x+ v) dy dy i (Simplify v

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Q: Solve for the value of C in the equation: O A. 1 B. 2 (2xy¹ey + 2xy³ + y)dx + (x²y4eY − x²y² - 3x)dy…

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Q: Solve for y. – 6y + 5( – 3y+ 8) = – 5 – 2( – 2 – y) %3D

A: - 6y + 5 (-3y + 8) = -5 - 2(-2 - y) -6y - 15y + 40 = -5 + 4 + 2y -21y + 40 = -1 +2y

Q: Solve the equation for D. 3x²y²D + 2xy3 – 10y2 -20xyD = 0 D = %3D

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Q: Solve for x and y. 4. 50 2x 3y

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Q: 7. Find a particular soltion for the equation y" + 3y' + 2y = 10e3

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Q: 3. Find the points of inflection: y = x-2cosx

A: Explanation of the answer is as follows

Q: Let f(x ,y, z) = x²yª + z³ and x = 4s?, y = 2st?, and z = 3s?t. %3D %3D

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Q: dx first using a trig substitution and then using a standard substitution. x²+36 Find f

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Q: Find dy dx

A: The given equation is y3+y2-5y-x2=-4. Differentiate both sides with respect to x as follows.

Q: 4. The axis of symmetry of y = 8x(x + 90) is a. x = 0 b. x = 45 C. X = -45 d. x = 90 e. x = -90

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Q: d?y Calculate dx2 y = 4x0.8 – 7x d?y dx2

A: Given : y = 4x0.8-7x

Q: d y Find dx? |(-1,2) if x² + y' = 9

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Q: You are told that Vf(2,3) =. %3D Given ü =, compute Düf(2,3).

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Q: Let a = 5 +3– k and 6 = 47- 53- 3k. Find a x 6. %3D

A: Use determinant method to find cross product of two vector.