Closure: 1. Solve cot r-V3 =0 over [0, 2n)

Q: Solve for x, where u = (1, -1, 2), v = (0, 4, 1), and w: %3D 5u – 2x = 3v + w X =

A: It is vector problem.

Q: Q2. (a) Find the overlapping area of two equations also give its geometrical representation: u? + v?…

A: Since, these equations are of the form  (x - a)2 + (y- b)2 = r2  which means both the equations are…

Q: Solve for a2f дхдz if f (x, y, z) = x³=3y

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Q: 1. Find 2(3z + 4)² dz.

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Q: S tan-1 е' 1+4t² 2t dt

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Q: Solve Ja-yi ) dy

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Q: Suppose that a particle moves according to the law of motion st² 12t+24, (A) Find the velocity at…

A: Since multiple subparts are asked, I am answering the first 3 subparts.

Q: Select all the functions that are a solution of y" - y = 0

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Q: Solve for the general solution (D4 – 16)y = x* + x + 1

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Q: Find a such that the distance from (−1, 2) to ax − y + 9 = 0 is √5 units.

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Q: Determine the length of x = 3+ (y – 2)², 4<x< 19

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Q: Solve for w where u = (1, 1, 0, -1) and v (0, 3, -1, 2). w + 4v = -3u %3D

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Q: Use the method of separation of variables to solve : xyu̟ +2u, = 0, Q.4 U(x,0) = 3x*.

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Q: a) Find the value of + 1) tdt by using the substitution u = +1

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Q: 1 cot-¹(-√3)

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Q: If V2 1 1 dv = x V2 V1 \V¼ V½) V2 Зпх -dv =? 1 2T7(V + ny) V1

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Q: dz Find from the equation x*y+ x z+ z² = 4 ax

A: We differentiate both sides with respect to x, considering z is a function of x.

Q: '5. Solve the equation 3uy + Ury 0. (Hint: Let v = = uy.)

A: To solve the given equation  3uy+uxy=0 .

Q: Determine the length of y = vx – 2 + 1 , 2 < y < 5

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Q: Solve: Subject to 2wt+3ux + 4u = 0 u (x,0) = x² in R. x [0,00)

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Q: Find the velocity (t) and the speed (t) of a particle with position defined for all real numbers t.…

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Q: w = (1³ + 11)8| dw dt

A: Given :   To find

Q: maximum point of y x? x – 2 |

A: Given a function : y2=x2x-2 We need to find the maximum point. Let's begin.

Q: Find m such that the function y= Aex satisfies the equation 2y"=y'+y

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