if y= Find dz Iz-1 21-6 Answer:

Q: If y = a³ + e*, find y(4) when a = 0

A: Given: y=x3+ex   As we know that; The sum/difference rule: f±g'=f'±g' The Power law: ddxxn=nxn-1 And…

Q: Find fe Sor weXナzXy X-2モ,y=3し

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Q: If (x, y)= x²y+e* , find; d. y е. b. $, с. Ф Q.4 (1)

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Q: Given, y(t) = t²e", 0 <t < 3n Find the value of y(1/2). -n214 IT

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Q: E = (2ry y2). C: r(t) = (9 – t2 t) 0<t< 3

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Q: dy ) Find dr 1 if y = %3D 5z13 Answer:

A: Given,  y=1/(5x+3),  dy/dx at x=1

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

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Q: rvdxdy ( R nd x 2 0, y 2

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Q: Given, y(1) = t²e", 0 < t < 3n Find the value of r(1). -T IT

A: We know that eit = cos(t) + i sin(t) Cos(π) = -1 and sin(π) = 0

Q: (),-- dz For z = -5x* – 3y and a point PER², you have = -4. dz Determine the value of

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Q: f(x,y)=ylnxsinx, find fxxxxxy(π,1). Keep your answer to 3 significant digits.

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Q: If 1||m, find the value of y. (9y + 2)°

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Q: 3.2 find fxxy: flxiy) Bx*t 2€y?+ qxy!

A: when differentiate with x then y should be constant and when differentiate with y then x should be…

Q: ay is 8. If y = arccot then dz a. 4 b. 64 C. -4 d. -64 16 +x 16 + x? 16 +x .2 16 + x?

A: topic - derivative of a function

Q: If y = #(x – 1)7 then y' at æ = 2 Is equal to Select one: а. —5 b. 5 c. d.

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Q: If y=5+ V3x +1, find y' when x = 5. 1 А. 13 В. C. 15 D. 16

A: Given,    y=5+3x+1

Q: If y = (x2 +8)º, find dx2

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Q: y' + E) y = xy? 2

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Q: Find y'" for y=eto y" =D + 11x.

A: Given y=ex3+11x

Q: If z = 9x² + y² and (x, y) changes from (1, 3) to (1.05, 3.1), compare the values of Az and dz. dz =…

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Q: Q/ Find SCZ)dZ Where C:\z-1|-l

A: We use Cauchy's Integral formula.

Q: 3) 2хydx + (y? — х?)dy — 0

A: The given equation is of the form Mdx+Ndy=0where M=2xyand N=y2-x2to check the given differential…

Q: For the DE y = xy², y(0) = - 1. Then, y(2) = Blank 1

A: The differential equation y'=xy2, y(0)=-1

Q: Hi W. Solne : du 니 メ Uco,y) = 3ē_ = 34 ニ e | dy Xープ Ans./ ucx,y) = 3 e (2x-5y) 131

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Q: If y = 3x + 2x² + 4x – 5, 4х — 5, dy find at x = 1. da? a. 24 b. 26 С. 22 d. None

A: solution

Q: (b) т Vi + 1, y = t3 – 12t for t > 0 Fイ

A: According to question given that x=t+1, y=t3-12t for t&gt;0

Q: If QR what is the value of y? 11y + 45 and SU = -5y + 33, T. S R U It

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Q: Given the intercept on y axis to be 1.8 and Sxx-70 and Sxy = -6 for given y = 1.5, the value of x…

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Q: 2. (x* + y?)(xdy + ydx) - ху(xdx + ydy) -0

A: A detailed solution is given below

Q: b. Find XY. 38 30 R. Y. 22 Z.

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Q: dy 4. if y = csch-1 2º . de

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

Q: (c) de xy³, y(0) = 1

A: Solving by separable method we can get

Q: If y(x) = -9e ", find y'(x). Select the correct answer below: O y'(x) = 81x 9e O y'(x) = 81e 10…

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Q: Evaluate | (r + y)ds, c : x 3t, y = - 3t + 3, for 0 <t< 3.

A: Given: ∫C(x+y)ds, C: x=3t, y=-3t+3, for 0≤t≤3

Q: (y n?(1 + 3*) dy 1+ y? 2.

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Q: if (y+ 4)² = x + 2, then + 2, then dy

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Q: If x2+ xy + y³ =1. find the value of y" at the point where x=1- O 42 O 1 40

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Q: Find SS₁R³² z²dA where R = {(x, y) | 36x² +9y² ≤ 324}

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Q: If x = t² and y = t³, then y O t 3/4t O 3/t Other: = ?

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Q: Find y" if y = x + (x + 2)3 when x = 1 Оa. 16 O b.9 Ос. 18 O d.28

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Q: given fro)=5 TR-x) Jet On both side intergrel fcx) と mx2. +c f(0)<0+C fox)L mx2 t5 fcs)<M(S)と45 Pis)…

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Q: as x and the square of z, y= 150 when x yvaries jointly = 3 and z = 5. Find y when X = 12 and z = 8.

A: If x=3, z=5 then y=150 If x=12, z=8 then z=?

Q: dz and dz if rys + y2³ + zr³ = 7. Find

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Q: (b) xy = (1 – y?)/2 %3D

A: We have to solve the differential equation

Q: a? + y? dV W : x² + y² < 9, 0<z< 18

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Q: -文,y(e)=D2 e

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Q: For the DE y' = xy², y(0) = - 1. Then, y(2) = Blank 1

A: topic - differential equations answer is -1/3

Q: y? dy 4-7 2.

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