Solve for the General or Particular Solution of the following Linear Differential Equation. dr de 4 r 30 T No. Date r = 1₁ 4 = 1

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A: Topic:- application of derivatives

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A: The given points are A3,-5,1, B7,-1,0 and C-1,-3,4

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A: To find the unit tangent vector to the curve defined by r→t=5 cost, 5 sint, 2 sin2t

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Q: Use series to evaluate lim X→0 ex-(1+x) 4x² lim X→0 (Type a simplified fraction.) ex-(1+x) 2 4x²

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Q: Q4. Find the values of the constants a, b, c so that - - F = (axy + bz³)i + (3x² − cz)j + (3xz² –…

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Q: Solve the differential equation dy dx y+√√x² + y² X ; when x x = a. y² = 2x-1 b. x² = 2y-1 2 c.…

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

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A: To evaluate the triple integral ∬∫ExdV where E is the solid bounded by the paraboloid…

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A: Please see the below picture for detailed solution.

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Q: · (b + c) = ² 7. Prove that à. = a · b + ac for all a, b, c € R³.

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Q: Q3. Find the distance between the points AB and BC where A is (2,1,0), B is (-1,3,1) and C is (-1,…

A: The points A2,1,0, B-1,3,1 and C-1,0,1 we have to find the distance between the points AB and BC…

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A: Answer is c

Q: Problem 1. You are fencing in an area next to your house so your cats can lounge outside. The cat…

A: We have given the length of material that is avialble for fencing is 27 feet.

Q: Q1. Find the equation of sphere with center (1, 2,-1) passing through the point (-1, 2, 1).

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: The demand for a certain product is given by the function D(q)= −2.1q+350 where q is the quantity in…

A: Given, The demand for a certain product is given by the function D(q)= −2.1q+350 where q is the…

Q: Problem Set #1. (w/Answer Key) 1. x²y' = x²+1 3y² +1 1. y(y² + 1) = (x² + Cx - 1) X

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Q: (2x+5)³(52²-2x) 4. Use logarithmic differentiation to find the derivative of the function y = √2x+5

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Q: 5) Show that to order O(h²), the central difference formula for the partial derivative მ3u(x,t) əx3…

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Q: 5. Which of the following functions grows the slowest as x goes to infinity? O 0.01x³ O 0.001x³…

A: We can solve this as follows:

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Q: Find the indefinite integral. Remember to include a "+ C" if appropriate. (2423-4x) dx = [

A: Here we will solve the indefinite integral,

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Q: •y+1 Q5. Evaluate S₂ S¹¹ xy dx dy. -2 Jy²

A: Topic = Integration

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A: Given: rt= cost i + et j + t2 k

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