Find V x² +y dædy, where A{(x, y) E R; ² + y < a?}

Q: find extreme Value of function fex, y) = x°t 3xy?-3x²-3y=t7 1

A: Given:  fx,y=x3+3xy2-3x2-3y2+7 ⇒fx=3x2+3y2-6x, fy=6xy-6y To find extreme points put fy=0, fx=0…

Q: (x + y)ds, C : ¤ = 2t, y = – 2t + 3, for – 3 <t<0. Preview

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Q: df If f(x, y) = x² + 2x – 1, then 0. - ду True False

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Q: Find fa, fy, fyx and fy if f(x, y) = x + y + xy ух

A: This is second partial derivative so do the derivative like normal considering all other variable…

Q: 2X dy xp b.yoşe + Ce 3.

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Q: 2. For F = (xz3, 2y*x²,5z?y) find: a. div F b. Curl F and find div(curl F) C.

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Q: A 1 x る8 %3D 은 AB=C Find X+g?

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Q: Find dy : Note: subscripts indicate a different variable. a. y = 4x +7x} +2x,x, +4x² +5

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Q: Find tan a. V[ ? (V5, -/7)

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Q: XY | UW. Find UV. 11 W 22 Y V 25 UV =

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Q: d.r. , (- 1) 1,

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Q: Find fg, fyand f; if f(x,y,z) = x - Vy² + z²

A: Given:     To determine: Partial  derivative  fx, fy, fz

Q: 2x Eyaluate dx . 1-4x4

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Q: Differentiate. y = (r2 – 4r)e" %3D

A: Given,            y = r2 - 4r er

Q: Evaluate y ds, C: x = t², y=t, -5 < t < 4 C

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Q: S. For x #9, X- 3)* -? (x-3) - ? x²-9 A A -1 - 3 1 C T-3 z+3 T-3 I+3 DE

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Q: əz If z = f (x, y), find and for the following equation z=-2xy

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Q: Find V · (V x F), if F(x, y, z) = 5e*?i+ 9xe"j – 6e²k. V · (V × F) =

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Q: 17 10 W Y 34 WX %3D Submit

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Q: Hn. Don't provide handwriting solution

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

Q: 2 V4-x? xy dyd. + y? а. x² 0 0 V

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Q: olve (eydK+ (Xě X+y

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Q: .(Зx? — у) ӑх — (хаy - 2ydy) %3D 0

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Q: Find S x² + vx – 2 dx

A: We need to evaluate the following integral.

Q: ex Find FaイNR f6つき,2)→1-2XY+x4

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Q: Evaluate : p.v x2 ∞ (x²+3)² dx

A: To evaluate: p.v ∫-∞∞x2x2+32dx We will evaluate the integral using Reimann integration.…

Q: dw if w = yVx² – y

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Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.