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Q: dy O Find , if y = In(7x² + 5y?). dx

A:

Q: Consider ,- (x3+y²). Evaluate dx² O (9x4+6x)e «³+y?) O (6r²+ 3x)e (x³+y?) O (6x4+9x)e (x³+y?) O…

A: The formulas used in the solution are as follows: 1. Chain rule: df(t)dx=dfdt·dtdx 2. Product rule:…

Q: d by f(z) = (x alytic, then C %3D

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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: IF Y= 2x² + 5x dy and d = 4, find at when x = 3.

A: See this solution in below

Q: (c) S, y*/1- y² dy

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Q: 2.) ² - 1) 1 dy (у? —

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Q: '피/4 (c) x sec?r dx

A: A definite integral is an integral with upper and lower limits.

Q: 2x If y= e, then %3D dx² a. 2x O b. 6e²x 2x 4e²* Od. 2e²*

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Q: Find dx. Using the substitution u=3 – 2x (3— 2л)5 |

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Q: If x1/3 + y1/3 = 4, find d2y/dx2 at the point (8, 8).

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Q: ysina dady.d.z. 2.

A: we have to calculate  ∫0π6∫01∫-23ysinzdxdydz ∫0π6∫01∫-23ysinzdxdydz=∫0π6∫01∫-23ysinzdxdydz…

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

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Q: n(Σxy) - (Σχ)(Σy) VnEx - (Σ] [ nEy? - (Ey}]

A: Given Data is Baby x y A 8 56 B 5 44 C 11 79 D 13 72 E 10 70 F 5 54 G 18 94 H 15…

Q: d²y -4 If x? + y? = 4 then show that dx?

A: By simply differentiate  with respect to x to find d^2y/dx^2

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

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

Q: 1. If y? = 10x , then dx2 d²y 5x А. 2ху 2y 5ху С. D. 2x 2 B.

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

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Q: (22 + y? +1) dæ + x (x – 2y) dy = 0

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Q: -dy (49 – y2 )

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Q: For a, b E R, calculate (ax + b)dx (x²+1)²(x²+4)*

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Q: DS tan %) c(x) ax

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

A: Given: x2-y2=1 at 2,3

Q: dy 4. x2 + y? = dr xy (Bernoulli DE) %3D

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: ds Find dt S=- 3tan t-et

A: Given, s = -3tant -e-t   We have to find the value of dsdt

Q: У(2x? — ху + у?)dх — x? (2х — у)dy %3D0;B у(1) - H IN

A: Use homogeneous equation

Q: D. E +xy = axj Solue %3D D

A: Bernoulli's differential equation.

Q: •3 2ye dx dy y? Evaluate

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Q: 4. Y= C, ex + C2e* + X

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Q: 4. Find if x + y? = 2xy. dx (2) (6) y +x (b) y - x (c) 1 (d) y

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Q: 2) Evaluate | xy? dxdy D. where D: x+y² <2, x N 0.

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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: dy Find dæ? for y = csc(x) d²y dæ² ||

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Q: If y= In(3x² – 6x – 8), then find dy. | dx

A: Chain Rule of Differentiation dydx=dydududx................................................(A)…

Q: f (x) dx=6, ƒ (x) dx=2, and ƒ (x) dx=- 3, fir If A 4 B

A: We are asked to find the value of given.

Q: 2ey? dy dx

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Q: 11. (D³ + D)y = sec? x when x =- 4 = %3B

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: If fx Inx dx =x²Inx - Sf(x)dx, what is the vahue of S, 4f (x) dx? A) 1 B

A: Given, If ∫xlnxdx=12x2lnx-∫f(x)dx, what is the value of ∫014f(x)dx

Q: dy is Q5. If e** =xy, then dx

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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: dy Given y = 2u? and u = 8x – 1, then dx - 8(64x? – 2x + 1) 0 خيار 4 48(8x – 1)2 0 خيار 3

A: The derivative of xn is calculated using the formula, ddx(xn)=nxn-1 .

Q: D Frnef far s ? syf 2=7

A: You must have idea how to solve the equation. The explanation part is given below.

Q: If Sc F · dř = [c(2x+ 2y² ) dx + (x²y) dy, what is

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Q: dy If y = e4a+19 then dx

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Q: If. If x= is + y, then dx 1 A. y² +1 В. y² + С. у3 +1 D.

A: We have to find the dy/dx of the above two functions.

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: dy =e 3x dse + lo e2u

A:

Q: If x² + d'y y? = 1, then dx?

A: Given that: x2+y2=1 To find : d2ydx2