3. Find the coefficient of xy' in (2x + 3y)°.

Q: 2.2 y = (x³ − 1)(x² − 2x + 1) using the product rule. √1 + tan² x 2.3 y= sec² x

A: solution of the given question is like aS:

Q: 54 (b) y =. sin 2x. 4 Find

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Q: Given f(x,y,z) = sin (2xy) + 4xyz³. Find fzzx(3,3,3). Answer:

A: Solving the problem by doing partial derivative.

Q: Evaluate y sin(xy) dA, where R = [1, 2] × [0, π]. R

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Q: Find the derivative of sinh(x)tanh(x).

A: As per our guidelines I am solving only first problem please repost other question.  y = sinh(x).…

Q: Compute fx cos xe dx by using substitution. sin.x²

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Q: sinh(3z+1) z2 - 5z+6 Evaluate dz, where C : |z– 2i|= 1, counterclockwise.

A: We have to evaluate ∮Csinh3z+1z2−5z+6dz, where C:z−2i=1, counterclockwise. Cauchy Goursat theorem:-…

Q: 3. If G = (2x²y – x*)î + (e*y + y sin x)j+ (x² cos y)k, find: %3D дхду

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Q: complote the following using ono of the "motheds of substitution". −y dx + (x + Vxy) dy = 0

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Q: (3x² – 2xy+ y²) dx + (2xy – x² + sin y) dy = 0, y(12) = 0 - |

A: We have to find the required solution of…

Q: - Find sec(y) tan7 (y) dy. S .

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Q: Given f(x,y,z) = sin (5xy) + 3xyz3. Find fzzx(5,2,3). %3D zZx Answer:

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Q: ind the y component for the following equation assuming that there are proper units on the…

A: Given the equation Fx,y,z=66xyz+31xsin44y. To find the y-component, we substitute x=0 and z=0.

Q: 3. Let f(x, y) = x³ 3x² + xy +7 and u = 0.6i + 0.8j, then find Duf(1,-2).

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Q: 4. Solve the ODE using Separation of Variables. X. dy - y = 2x²y dx

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Q: If z = x2 – xy + 4y2 and (x, y) changes from (1, –1) to (0.96, –0.95), compare the values of Az and…

A: We have to use differential to find results.

Q: sin(6a°y³) =? lim a,y)→(0,0) xl12 + y4

A: If we put (0, 0) along the line y = m x3 , then,

Q: 1 1. (3xy + y²) + (x² + xy) 4/2 = 0 {x³y + x² y² = c} dx ― 2

A: Given differential equation

Q: If x²y" + xy' +(x? -v-0 x>0,V=x sinx and y=y,v. Which of the following equations satisfied by v…

A: Explanation of the solution is given below...

Q: 3. (x- 5) +(y+2)* =9

A: # the information is not mentioned what need to be done . considering the graph, plotting the graph…

Q: C = 2rr. Find C'. C' :

A: The circumference of circle is C=2πr where r is radius of circle. Here, r is a variable.

Q: xy then, y' y+ 2Vx3 x+- 2

A: How to do Implicit Differentiation 1. Differentiate with respect to x 2. Collect all the dydx on one…

Q: = (b) ſ sin (7(x – 2y)²) dA, where T is the triangle bounded by x – 2y T 1, y = −3x and 5y = -x.

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Q: 2- The homogenous diff. equation can be put in the following form: B- y' f(x)

A: Here we will find the correct option,

Q: d²y 9. +y= sin 3x cos 2x 2

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Q: 5.[15] Evaluate V1+7x dx a. Identify u= b. Find du=

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Q: 3. [ (sec²(a) — csc²(a) + π) da

A: We will use formulas of integration to solve it

Q: Q of y = e(cosx+4tanx+5t-tx²) dp

A: We have to find derivative of y with respect p.