-20x-2) SS f(x.y) dy dx + f(x.y) dy dx= f(x.y) dx dy, then g(6a)+h(a)= if (4)6 0

Q: (b) y = Vr - 4x Find if (a) dx

A:

Q: 3 Evaluate 7x? dx 1 7 (Hint: f(x) = 72? and F(x) = a*) 3

A: The given integral is: ∫137x2dx Since, 7 is a constant, so take it out side. ∫137x2dx=7∫13x2dx The…

Q: dy If y = (x +4)(x-9), then dx Select one: a. dy = 8x14 – 20x3 dx %3D b. dy = 8x7 - 20x° dx %3D C. =…

A:

Q: So S5(xy²) dxdy ,2' 13

A: Use power rule of integration

Q: Find dx 2y +x=5y

A:

Q: Let f(x, y) = = 160 - 2x² - 4y² For which value(s) of y is f(-3, y) = 7? y =

A: Given function

Q: Find * 1 y" if y =-(x -3x)

A:

Q: d?y Find dx2 x = t° - 7, y =t - t?

A:

Q: (x + y²)x dx + (x² + y)y dy = 0

A:

Q: If y = (x2 +8)º, find dx2

A:

Q: If 4x² - 2y2 = 9 then 2y² dy dx

A:

Q: S(Vx + 1)? x dx 2

A: Given, ∫x3+12xdxwe have to evaluate the given integral

Q: dy + (1x – 7)y = 2x7 dx

A:

Q: If y = (In x + 1)(2x³ – 3x), then will be dx

A: Differentiate wrt x

Q: x5 dy + (5x4y - 3) dx = 0

A:

Q: S(12x + 5) f'(6x²+ 5x + 2)dx с.

A:

Q: 10. (D² – 3D) y= 9x² = 9x2

A: 10) Given Information: Given differential equation is D2-3Dy = 9x2

Q: (X²y² + 1)dx +2x²dy =0 use the substitute xy=u

A:

Q: Evaluate -42 (2x - y) dx + (x + 7y) dy. C: x-axis from (0, 0) to (0, -7) and (0, -7) to (3, -7) X

A:

Q: Find d²y dx² y = 4x + 9 d²y 2 dx || ㅁ

A:

Q: dy 1 if y = dz 219

A: Given that: y=12x+9

Q: dy 3. 9+y? メーNE _ xp

A:

Q: 1 2x STAR -1

A: y(x)=1e2x−1dydx=ddx1e2x−1Using the Chain Ruleddxf(g(x))=f′(g(x))g′(x)Using the power…

Q: Find 2 dx 5 8x y= YP 5 - 5x

A:

Q: 2 The Range (Ry) of y = v9 – x² -

A:

Q: 69–70 The velocity function (in m/s) is given for a particle moving along a line. Find (a) the…

A:

Q: dzy dy + 6y = 36x dx2 dx d?y dx2 dy -6-7y = 6e2*, dx

A:

Q: Evaluate (2x - y) dx + (x + 3y) dy. JC C: x-axis from (0, 0) to (0, -3) and (0, -3) to (9, -3)

A:

Q: dy 2 + y = 6x3 dx X

A:

Q: VAy 5-y-z 15z dz dz dy 2y2 2-y-

A: SOLUTION-

Q: Y(Gyt-x-4)dx + 2x dy =0

A: let

Q: 3. (D² + 1)y = 0

A: