1. Find dy for each of the following: dx 2-x2 a) y= In² 1+x y = Vx+e* c) y = 52r+3

Q: Evaluate the integral Se*dx

A: We can solve this as follows:

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Q: 3. Accumulate P2,500 at 5-% simple interest from November 6, 1988 to April 11, 1989. 12

A: Given :Principal = P2500Rate =535=285%Time : Nov 6, 1988 to April 11, 1989

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A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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A: We have to solve given integral.

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A: According to our guidelines, we can answer only one question or three subparts of a question. Other…

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Q: . Find dy for each of the following: dx 2-x? a) y = ln- 1+x b) y = Vx+e-x c) y = 52x+3

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Q: Evaluate the integral 1

A: We can solve this as follows:

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Q: 2. Evaluate xy(z + 2) dx dy dz

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Q: 6. What can you conclude when dy is changing dx from positive to negative? A) fis at a local minimum…

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Q: (D- 3)'( D + 9)y = 0

A: We can solve the give ODE as follows:

Q: Solve the equation (D² – 3D + 2) y = 2e¬* + 8 O y = cje2x + C2xe¯* + 4 + ze* O y = cje2x + cze² + 4…

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Q: EVALUATE THE FOLLOWING cot x dx 4 sınx + csC X 1.

A: A detailed solution is given below

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Q: Department of water Resources Eng. A.L. Fatima Kumait Al-Zubaidy Q1): Find the point (x, y, z) that…

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Q: IV. Suppose z is a function of r and y, and tan Vy² + x² = z*e®y. Solve for dz dz and

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Q: A spherical snowball is melting in such a way that its radius is decreasing at rate of 0.4 cm/min.…

A: Given;  Radius=9cm dr/dt=0.4 cm/min

Q: x + 4 dx x² + 2x + 5

A: Given ∫x+4x2+2x+5dxTo evaluate the integral:

Q: y" - y " -2y' = 0 O y = cje* + c2 + C3e2* O y = cje* + cze* + cze2*

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A: Given: y=x and y=x-22 Now find the point of intersection between the given curve and line. y=x ;…

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Q: SKETCHPAD Question 12 Find AB given that: 8 2 5 5-4 A: and B =| 7 -3 %3D 16 0 Show all work for full…

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Q: Supply the missing integrand and the limits of integration dx dy _dy ху

A: The given integral:∫-11∫1eydxdyxy

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A: Note: There are multiple questions. Few questions has multiple subparts.No specific question has…

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A: Let's find

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A: We have to sketch the graph of the given function.     According to our guidelines we can solve only…

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A: To find the area of the region bounded by given curves.

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A: Given

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A: We know volume of a sphere of radius r is, V= (4/3)πr³ Doing implicit differentiation on both sides…

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A:

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A: Given problem:- ∫ ydy/√(-7-8y-y2)

Q: L(sin 2t cos 2t)

A: