Find and d?z and prove that 2 0²z IF 2 = f(xt ay) + F CX-ay) %3D

Q: If 3x = 9y and 27y = 81z, find x/z?

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Q: If 5x + 2(x + 7) = 14x – 7. Find x a. 1b. 2c. 3d. 4

A: Given equation is We simplify the equation and solve for x.

Q: 2x+3 a) S; dx x2-3x+2

A: We integrate the following by using substitution rules and factories the denominator.

Q: 3xy If z determine 2x - 3y

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Q: X2 dx ex+3

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Q: Which value(s) of x satisfies the equation Vx? -4x –5 = 2x – 10 {3, 5, 7} {5} {5, 7} O {7}

A: Given an equation x2-4x-5=2x-10 To find the values of x that satisfy the equation

Q: csc² 6. 2 2 Cs dx

A: In this question we will use basic of calculus i.e concept of integration. We will simply use…

Q: 2 6² 6² S (3x + 4y) 5dxdy 0 Find

A: We need to evaluate :

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Q: Find the solution to the initial value problem. z'' (x) + z(x) = 5e¯X; z(0) = 0, z'(0) = 0 -0. The…

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Q: 7x2 + 15 dx. x2 + x Compute f

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Q: 2 -1 2 2.

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Q: 5. (2x + 3V )dx 2х + 3уx

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Q: 2- Show that: -1 xb-1 In x dx b2

A: See the attachment

Q: If (x and jy)² = 3 + j8, find x and y.

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Q: Compute 3+r+1 dx x2

A: Given : ∫233x2+2x+1x2dx

Q: Find f if Vf = 10xy i + (5x² + 20y³) j f =

A: We have to find the function .

Q: .2 2 S²6²³ (2x + 3y) dxdy 0 Find

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Q: Show that: -1 xb-1 In x dx b2 2-

A: we use integration by parts

Q: 2 D²y+y=secx²

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Q: 11-3x Determine f dx x+2x-3

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Q: Exc. Eind. Lim (x-1) y3

A: Solution:

Q: Find the largest z for which 2x + 4y = 5 and x2 + z2 = 2y.

A: Given- 2x+4y=5 and x2+z2=2y To find- The greatest vlue of z. Concept Used- To find the largest…

Q: dz Find if z = 16x5 – 18x³y3 + 9y – 4. %3D ay az %3D ду

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Q: Evaluate ſ / 21 + 12x – 9xr“ dx -

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Q: Find xy² Una -dA, R= [0,4] × [-2, 2] x² + 1

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Q: Find all possible pairs of integers x, y so that 7x + 3y = 4. Then find which of these pairs makes…

A: Given:   7x+3y=4                        ........(1) We have to find all possible pairs of integers…

Q: b. 3+V5-x 3I

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Q: Find dz if 4x2 + 9y-z z²= 5e

A: The given equation is: 4xz+9y-z3=5ez...(1)

Q: 2a - 5y dA, R =(-5,4] x [0, 3] R.

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Q: 2. Find b such that dx 1+x2 3

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