Use the equations to find dz/ðx and dz/ðy. e? = 4xyz 4yz az 2 - 4xy %D ax 4xz Əz ду 2- Axy

Q: Evaluate and simplify y′. y =  xe-10x

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Q: 6 dx. 1+ 9x2 Calculate

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Q: y³y −3= ... Oa. 1/y Ob.y O C. 1 c. Od.0

A: Given expression isy³.y-3

Q: V1+e-z dr.wo ez

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Q: |a?V- 2 dx.

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Q: S cor 3ydx có

A: We need to find integral value.

Q: #hn. Don't provide handwriting solution

A: 1) Critical value is found at 0.05 level in Excel using =T.INV(1-0.05, 24) which equals +1.71 Here…

Q: -2 Evaluate (5х — 2) dx -6

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Q: Find dy. y = x| 13 dy = (Simplify your ans × |5

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Q: dx 6. 4+ 5сosx

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Q: dx 2. メ+2

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Q: dx 2. S sec4xcot4х

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Q: z equals 1 If 1, then וא

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Q: dy - 7 dr fip + 12y = 3x2e4x. dx?

A: Solutions

Q: 1. S^₂(x²-x)dx

A: Find the integral

Q: Differentiate. y = (r2 – 4r)e" %3D

A: Given,            y = r2 - 4r er

Q: Find dy. y = 33 + 10x4 – 5x5 dy = (Simplify your answer.)

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Q: N X 45 15√/2 45

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Q: Hn. Don't provide handwriting solution

A: Step 1:Step 2:Step 3:Step 4:

Q: 4 xp£

A: We have to find the integral.

Q: 2 | Vxe-*dx хе ах

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Q: 2-dy dy. y2 dx 12 ナ /2

A: We have to solve the given equation. The given equation is 2-dydX=y2X2+yX+1    ......(1)

Q: 3. Evaluate ry? dz dr dy.

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Q: sec2 ) 15. Evaluate. - x2 dx

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Q: Evaluate. Vx dx 6 76 X, dx =| 76 X (Use C as the arbitrary constant.)

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Q: Find the angle between y=5x2-3 and 3xy-9x2-x

A: Given y=5x2-3 --- Eq 1 and 3xy=9x2-x      --- Eq 2We know that angle between y1=k1x+b1 and y2=k2x+b2…