Solve the differential equation. ex+2e* y = 1, x>0 Oy-e2x+Ce*, x>0 Oy=e* + ex>0 Oy=e* + Cex.x>0 Oy=e* + Ce 2x, x>0

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A: The given transformation x=3u-7v, y=u2-2v. To find the Jacobian of the transformation.

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Q: If f(x) = 4 ln(5 + x), ƒ'(x) = ƒ'(1) =

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A: GIVEN THAT              y=6x-x2              y=x2 -2x

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A: Given indefinite integral ∫x3x2 + 10dx

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Q: 1. Sketch the following curves on separate number planes. (i) y=2x² (ii) x² + y² = 4 (iii) (x-1)² +…

A: since you have posted multiple questions i can do first question( with three sub parts) as per our…

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Q: dP dx = -30x + 290 P(x) =-15x² +29x - 445 P(5) = $630

A: dPdx=-30x+290    P=∫ -30x+290dx =-30x22+290x+C  =-15x2+290x+C

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A: given,  f'(t)=t76

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Q: SHORT ANSWER. Write the word Write a system of linear equations in three variables, and then use…

A: Let x be number of wreathsLet y be number of trees Let z be number of sleighs

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Q: Find (4x + 2y)dA where R is the parallelogram with vertices (0,0), (5,-5), (2,1), and (3, 4). R Use…

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A: Given, the graph of f'(x).

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A: Terms of Geometric sequence,

Q: Suppose that f(x, y) = y√³+1 at which {(x, y) |0 ≤ y ≤ x ≤ 1}. D Then the double integral of f(x, y)…

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Q: (3) Solve the following inequality and express the solution in interval notation. (SHOW YOUR WORK):…

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Q: Suppose f(x) = √(x − 1) and g(x) = (2x − 3)/(x + 2) . (a) Find (f ◦ g)(14). (b) Find a simplified…

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Q: Consider the following. 32 [²³ 0 4 2x + 1 dx

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Q: Find the area inside the cardioid r=1+cos but outside the circle r=1.

A: Note:-  since you asked question 4 to solve ,so we solve question 4 for you  Given equations:-…

Q: S X (x²+5) O dx none of these answers ○ In (x² + 5) + c ○ In (x² + 5) + c 1 (22² +5) + c

A: let   G=∫x(x2+5)dx

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A: Given that f(x)=x2+10 now ,

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A: given, F¯=&lt;3zcos(x),5zsin(x),7z&gt;

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Q: Evaluate the integral. 12 F(X). f(x) dx where f(x) if -2 ≤ x ≤ 0 (6x² if 0 < x < 2 = {2-x²

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Q: 19-22 Find all second partial derivatives of f. 19. f(x, y) = 4x³ - xy² egine 20. z = xe

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Q: Use the matrices below. D = >- [86] 19 F = -1 3 7 11 Perform the indicated operation. F + 2D 8 1

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Q: The surface of the dome on a new museum is given by r(u, v) = 16 sin(u) cos(v)i + 16 sin(u) sin(v)j…

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