Find d?y/d?x from x=t2-3t+4 and y=t2 +4t -5.

Q: finn D2:- knowing thet fcxy,Z)= tavm of C in dx そ= X+y Z= X

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Q: Find d2y/dx2 implicitly in terms of x and y.

A: Implicit differentiation involves the treatment of one of the variables as a function of another and…

Q: d'Y Find dx X - t? + t 2) Y = t + 3

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Q: Find of y3 = x* + 3x d?y dx2

A: giveny3=x4+3xdiffrentiate with respect to x3y2y'=4x3+3y'=4x3+33y2

Q: d'y dr2 dy - 2 +y=3 e4x, given y(0) dx 1 and y'(0) =4; 3.

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Q: d?y Calculate y = e-(x - 9) – x d?y dx2 II

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Q: Q1) Find dx for: 2 - (x? + y)? + (x - y?)? = x +y3

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Q: А. О- бу+1) dy y-3 (у?- 6у+1) dy

A: As per our guidelines we are supposed to answer only one question i.e. the question no (A). For the…

Q: (d) S ! + de 1 d.x V1-x²

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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: Find ay in terms of x and y. dx2 x?y2 - 8x = 3 d²y dx?

A: Given that x2y2-8x=3. Differentiate both sides of the above equation with respect to x as follows.…

Q: d*y 4. Find dx 1 if y=x' + 5 +13 2x? 3x 5

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Q: b) S(2cosx – V) dx

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Q: d?y Calculate dx2 y = e-X + eX d?y dx2

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Q: Find dy for the given values of x and Ax. y= 2x° - 7x; x= - 2 and Ax = 0.2 dy =D %3D (Round to the…

A: Solution: The objective is to find the value of dy

Q: O Find (a) |VT-x)/x dx, (c) (4-x*y² dx. Ans, ía) 1/60, (/) x/2. (c) 31

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Q: d²y Find for the following function. 2 dx y= (3x² +1) -5 d²y dx² =

A: Given: y=3x2+1-5 To find: the second derivative of y. The power rule of differentiation states that…

Q: Q2 : Find d'y /dx? Y = xtan (=)

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Q: Q)Evaluate ~3 c9 Š Lz x3 ey dy dx CL3

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Q: y = elx²+2x+3)2 y = ise dy =? dx

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Q: Q3. Find dt 4x – 2 dx x² + 20 4t

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Q: If | f(x)dx=2a – 5b, then | LF(X) – 2]dx=? a

A: We have to find the value of definite integration

Q: eY+Ve2y-4 5. x = In sove for y“ 2.

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Q: i-p if x2 + 3y2 = 10. Find dx? Select one: За — 2у? 4x?y + y³ а. - 3+ 2x°y2 + y² 2x4 – 3xy2 Ob. 2a4…

A: Given that: x2+3y2=10

Q: Q2: Find for y= (4x² +12)²(3x-20)² dx

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Q: Q2:Fid for : y = ncothx + sechx* dx

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: dy Find the general solution + = 5(x – 2) Vỹ. y dx x-2

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

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Q: Q6 Find dy, if y- +++

A: Given :y=xxx

Q: dy Q5/ a) Find if y = esin(2x) dx

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Q: Q2: Find for (x+y) +(x- y) x +y* %3D dx

A: Derivative wrt x

Q: dy If dx and y = 14 when x = 1, find y(2). 3x-2 27

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Q: 人p dx find メP 4. Y= 3*J5x+7

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Q: Find dy/dx x = t2 , y = 7 − 6t

A: Given that: The parametric equations, x = t2  y = 7 - 6t

Q: Find d'y/dx2 implicitly in terms of x and y. x²y – 4x = 5 d²y dx „2 II

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Q: Find d'y/dx2 implicitly in terms of x and y. x?y – 6x = 8

A: Given  x2y - 6x = 8 We have to find d2ydx2 implicitly in terms of x and y.

Q: dy Q5/ a) Find 2 if y = esin (2x) dx

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Q: d-y if x = t – t² and y = t -t3 dx2 1. Find

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: f of If dx + In(7y), what is ? - дхду Select one: 1 7. а. дхду y y b. дхду - y + 7e?y С. дхду 1+e7y…

A: Option E is correct.  Make x constant

Q: Find d²y/dx² for the following equations: e) xy + y² = 1

A: Given equation is xy+y2=1 find d2ydx2

Q: Given x=2t2+1 and y=t4-3, find the formula for d2y/dx2

A: Given the values of x and y. We have to compute d2y/dx2.

Q: dy is If x? +2xy= y2, then dx A 2x+2y X-y B 2(x + 1) X +1 + |>

A: Given: x2+2xy=y2 The objective is to find dydx

Q: dy If y = e4a+19 then dx

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Q: d²y If y = x Inx , find dx²

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Q: Find d2y/dx2 for y = tln(t) + 9t, x = tet + 1.

A: Given,        y=tlnt+9t  and  x=tet+1

Q: Q6. Evaluate S¹, S₂ Sp dz dx dy.

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Q: . If x = 3t² - 2t, find the value of dx/dy when t = 5

A: The given function is x=3t2-2t.

Q: Find d²y/dx² for the following equations: e) xy +y2 = 1

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Q: Find dy for the given values of x and Δx. y = 6x3 - 7x ; x = -3 and Δx = 0.3 .

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