dy 16x 9. If r? + y² = 8 then show that dr?

Q: If J_f{x)dx=10 andJ, f{x)dx= 3, then J, f(4 – x)dx=?

A: According to our guidelines we are supposed to do only one question. Kindly repost the other…

Q: dy If y 22 x, then dx 9.7 1. O 22 0. O 5. N O O O OO

A: The given equation is y=22+x.

Q: If x"y" = (x+y)** ソ-0 m+n m..n Then, P rove that dx²

A: I use logarithmic differentiation with logarithmic properties

Q: If x2 +y = 1, then If X+ dx? %3D

A: The mathematical expression represents the second derivative of the function y with respect to x.…

Q: dy 4. a2+ y? = ry (Bernoulli DE) dx

A: Answer and explanation is given below..

Q: dy Use separation of variables to find the general solution to dr + 4xy? = 0. %3D

A: We have to sine given differential equation using seperation of variables

Q: dy 1. If a? + e 2xy = r + (y-2), find when r 0. dr2

A: We have to find second derivative at x =0.

Q: If y =Vu + 2 and u = 4x – 2, then dy/dx is А. x +1 В. 4x 3/2 C. D. 21:

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Q: If f(x,y)=xe/2,+37x?y3, then dx²əy³ at (1,1) is equal to

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Q: Q.3 Show that Je dx=r

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Q: х— у Given: z = x+y dz Find: ду dz — 2х dz -2y ду (х + у)? ду (х + у)? dz 2(х — у) dz ху ду (х + у)?…

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Q: dy Find if dx y = 4u? 6u + 5 and u = 4x + 5

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Q: dy a) Find in terms of y, if x= e* in terms of y, if x= e*+Insin y dx

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Q: If y = tant and t = 4x³ + x, then dy dx 11

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Q: dy If y = esr+11 then- dx 8e8x+11

A: If function is efx,  then its derivative is f'x efx

Q: if dx =3 then k =2e3 %3D - Select one: True False

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Q: dy Find at (x, y) = (3, 4) and z? = a²+y² if d = x² + y? if 1 аnd 2 6. dt

A: Given z2=x2+y2, (x, y)=(3, 4), dxdt=1, dydt=2. When x=3, y=4, z2=32+42   =9+16   =25 ⇒z=5

Q: Given that x2 -y² = 9, then dy/dx = %3D

A: Topic = Derivative

Q: Given that y = dx dy 3u?, : 5v² and v = 2x2. U = 8. Find

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Q: C) d4 器 ★竹+ s×M 3. %3D +2x 4. If ap diffelentiat e with les Pectto Subject. 1 / 7 l

A: given,        y=x44+2x2

Q: If RX = 18. XS 10, and RT = 35, then YT

A: It is given that RX=18, XS=10, and RT=35 In triangle RST, the line XY is given parallel to the base.…

Q: 80. If x? – y? = 1, find d²y/dx² at the point (2, V3).

A: Given: x2-y2=1 at 2,3

Q: 2. у"dy 3D х (хау — уах)еу 3. ydx %3D х + Vу? — х?dy 2 (1n In v) d, - y (1ulny ulnr) di

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Q: . If U = z sin y/x where x= 3r2 + 2s, y= 4r – 2s², z = 2r? – 3s², find a) Or b)

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Q: dy If y=u? and u = x3 + 4 determine dx

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Q: ind a suitable A and B so that: A< S, Vx + 4 dx < B

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Q: 1 If Y = x? dy = ? then dz · +c O 22? O 2x 2 dy If y = 6x + 2.5x² + 7x + 2 then dr

A: 1. Given y = x2 So dydx = ddx(x2) = 2x Answer: 2x

Q: If y = u³ - 2u + 1, where u = 2√x, find at x = 4 -23 23 33 none of the above dy when x =

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Q: af Find y dy √y+2 using the substitution u +5=√√y+2.

A: Follow the procedure given below.

Q: xy Let z . Then: 4x2 – 5y? | az dz ду

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Q: Given f(x, y) = In(3x² + 5y²) then af dx

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Q: dy If y e+14 then- dz 70e+14 O6e+14 D 4ez+14 O 14ez+14 5ez+14

A: Given, y = e5x+14  We have to find dydx

Q: dy Determine given y = (3u² – 5) if u = V23 dx 5/3

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Q: dy If dx and y (2) = 5, then

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Q: dx If S V(4+x?)3 = Sh(0) d0, then h(0) de %3D A 1 D 4 (B

A: Given : ∫dx(4 + x2)3 = ∫h(θ) dθ   To find ∫0π2 h(θ) dθ.

Q: 7 dy (18a* + 16e5)', find da Given y = %3D

A: It is given that,

Q: d?y If = -n?sinnx, (y" = 0,y = 0 when x = 0), then: %3D dx2 a. y = = COSTTX b. y = sinnx C. y=…

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Q: If y = u5/2, u = 7x8 + 3x², find dy/dx

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Q: d'y If y = x° + 5x, then dx? is %3D а. бх + 5 b. 6x с. О d. None е. 6

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Q: d²y If dx2 -n?sinnx , (y" = 0,y = 0 when x = 0), then: %3D

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

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Q: dy If y = e4a+19 then dx

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Q: D Given: l, m antersect at P M <1 = 2x+5 m22 = X+5 %3D Pove: x= 50°

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Q: dy If = (y – 4) sec? r and y (0) = 5, then y dx

A: Solution: The objective is to find the general solution to the given differential equation

Q: If z f(x,y) and z - y? = 6x?y°z? Find:器,需 and dz

A:

Q: d' y Let y? 4x, then dx %3D

A: given  y2=4x differnciate with respect to x 2y dydx=4 dydx=42y=2yagain differntiate with respect to…

Q: Ex Find the Salution of the sliff. equ. + 2x° cosx, given that yf z dx

A: Here we have to solve differential equation

Q: if y=6x^5, then dy/dx=

A: We know that; The Power law: ddxxn=nxn-1 And a.f'=a.f' Given: y=6x5