For the figure below find: x²dx + (x + y)²dy (1,2) (1,0)

Q: Encuentre y'(2) y= e donde a=4

A: Find y'(2)  y = e^x^2-a Where a=4

Q: + The Range of y [2x + 1] is Z. %3D TO FO

A: We can use the concept of function In order to solve the given problem.

Q: If -y = xy - 3x then find d at the point (-2,6) in simplest form. 1

A: As we know that the differentiation of:- dxndx=nxn-1 (fg)'=f'g+fg' fg'=gf'-fg'g2

Q: y = 7xe-X, y = 0, x = 3; about the y-axis

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Q: find δƒ/δx and δƒ/δy. ƒ(x, y) = (x + y)/(xy - 1)

A: We first find the partial derivative with respect to x. Use the quotient rule.

Q: f(z) = 4z and g(z) = 8z² . e them by comma)

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Q: (b)y" = 2y(y'), y(0) = v2, y'(0) = -1 %3D %3D

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Q: 2b. y' - ху'+ у %30 A. y = x? В. у 3Dх C. y =1-x D. y = 2x? –1 E. y = 0

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Q: f(x,y)=xe*/2+275x²y³, then at (1,1) is equal to əx²əy³

A:

Q: Find the areas of the shaded regions

A: The area of the shaded region of the left is:

Q: y = x², x = 1, y = 0; about the y-axis

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Q: 3. (Dª – 2D³ – 13D² + 38D – 24) = 0 4. (D² – D – 6)y = 0; when x = 0, y = 3, y' = -1 %3D

A: We have to solve the DE.

Q: The domain of y = is A. (-0,00) B. (0,00) C. (-∞,0) D. x + 0 E. x + 1

A: Solution: The domain of a function is the set of input or argument values for which the function is…

Q: Sketch x^2 -y +z^2 =1

A: Answer is mentioned below

Q: f(x, y) = 2y – 6ry - x 2.

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Q: Find x and y in terms of a. X + y = 0 х+ ay %3D 6 (а + 1) (х, у) —

A: Given:    x + y =0        --------1   x + ay = 6     --------2 from 1: x = -y put the value of x in…

Q: (a) x²y "-xy '+ y = Inx %3D

A: According to our guideline, We can solve only first question of multiple question.So here we solve…

Q: Please draw the graph that shows the cross section of the function f(x,y)=2y^3+3y^2−2x+4 and the…

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Q: (x² + f (x,y) = 2yx² + at the point Po(1, 3).

A:

Q: 3. Using the definition find y' y = x* +x+1

A: Given function: y=x4+x+1

Q: 3 1-x Find [, [* (x³ + y)dydx

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Q: find the Domair y=3+ +Vx X-3

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Q: y = 2 – x², y = x²,x = 0 about the y-axis

A: Given y=2-x2, y=x2x=0 To find Volume  about y axis By using shell method Intersection Point  x2=2-x2…

Q: The domain of y = v2 – x is A. (-0,2] B. (-0,00) C. (-∞,2) D. [2,0) E. 0

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Q: Find y' for x 3 + y-3 9. at the point (2, 1). | At (2, 1), y' Preview ||

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Q: (a)2t – 2 + (y')? + 2ty'y" = 0, y(1) = -÷, y'(1) = 1 %3D %3D

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Q: 1. y +Yt-1 = 3 (t, yo) = (0,1) %3D

A: In difference equation  yt+k=Ekyt ϕEyt=gt y=C.F+P.I C.F=ϕEyt=0 P.I=1ϕEgt ∆c=0 where c is constant.

Q: 9. Find the characteristics of the equation pq = xy %3D

A: Given that pq=xy The given equation can be written as px=yq=a(say) Therefore,  px=a ⇒p=axdzdx=axyq=a…

Q: - 6y(t) = 0; y(0) = 2, 1 %3D %3D

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Q: d) xty"- x'y'-(y') = 0, y(1) = 2, y'(1) = 1 %3D

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Q: xy? Find R -dA, R = [0, 2] × [- 1, 1] x2 + 1

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Q: 2b. y" - xy'+y = 0 A. y = x? В. у %3Dх C. y =1-x? D. y = 2x? –1 Е. у %3D0

A: For the solution of the problem follow the next steps.

Q: 2- x*y' y + xy' = 1 3D1

A: Given:        -x2y2y'+xy3=1

Q: f(x, y) = 4x2 + 2y? f-( – 3, 1) = Preview

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Q: 1 (a) y= %3D - (b) f(x) = 3(r³ – e²) %3D 4 (c) h(x) = 3x³. %3D

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Q: b) y = |x| – 2 and the x axis %3D

A: Given curve is y=x-2

Q: 1- 3tE %3D V. 1 a 4-

A: We have to find a formula for Vf.

Q: Find: Ex, fxx , fy, fyy, fxy, Fyx x +y F(X, y) = X+y x4-1

A: Given that: f(x, y)=x+yxy-1

Q: f(x,y)=x^2/y at (3,2)

A:

Q: (g) 5* = 1 (j) 2* x 4*-1= 82r-1 (k) 3* x 92 = 272r+1 (h) 34x = 27*+ 3 %3D %3D %3D %3D

A: Our Aim is to solve:-(1-h) ⇒34x=27x+3 -(i)Solution⇒ Taking logarithm in both sides of equation-(i),…

Q: f(x, y) = x4 + yA; x2 + y2 = 18

A: In this question, we find the maximum and minimum value of the function by using the Lagrange…

Q: y = 1+(t- y), 2<153, y(2) = 1, with h = 0.5 %3D %3D

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Q: Sketch Z= 2x^2+3y^2

A: To sketch: Z=2x2+3y2.

Q: .(Зx? — у) ӑх — (хаy - 2ydy) %3D 0

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Q: Find y'' of y(x)=C1sin2x+C2cos2x. Please explain

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Q: If y2 + xy = 1, find y" at the point (0, -1) %3D

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Q: T(x,y) = x + xy + y - 12x + 2 on the rectangular plate 0sx<9, -5<ys0

A: We have to find absolute minima and maxima of given function.

Q: f(x, y) = /4x? + 2y² f-( – 3, 1) = |

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Q: 3.) y = Vr, y = 3, x = 0 around the x axis.

A: To find: The volume of the solid that is generated by the revolving the given function y=x around…