dy Given that x = 213and y = t? + 5t, then dx OA t+5 O B. 2t + 5 21? OC. 2t + 5 OD. 6t 2t + 5 O E. No correct answer

Q: dy You need not expand your answer. dx Calculate 5x2 - 9x + 19 y = 2x + 4

A: Since you have asked multiple questions in single request so we will be answering only first…

Q: d°y +9 d²y +24 +16y = 0. Hint: “i" is one dx? dxº dxª of the factors.

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Q: dy (b) Find ,where y = cos ecx –4 r +7 dx

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Q: dy =2x – 3 and y=2 when *=3. What is the value of y when *=4? dx Suppose

A: We have to find y when x = 4

Q: dy/dx=? for  3x4-e2xy+y5=2

A: According to product rule, uv’=u’v+v’u

Q: Quèstion 2 dy Given that x= 2t and y = t2 - 9t, then dx O A 2t – 9 В. 2t — 9 21? OC. 6t 2t – 9 O D.…

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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: d?y dy 2- 8y = 8x? + 20x + 2, at y(0) = 0 and y(0) = -8 dx? dx

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Q: d²y =? III. y = 4 sin t, x = t² = dx2

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Q: dy If y = 3e5 . Find dz

A: Given query is to find the derivative of the expression.

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

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Q: Next Que dy Find by differentiating implicitly. When applicable, express the result in terms of x…

A: We will solve the following

Q: Q2 Evauate : fx V+1 dx

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Q: Determine dy/dx given y = (7u- 2) ifu = /a + O a. 3 497 O b. 349z 7 3 492 d. 3V19r?

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Q: d y then is dx? x=1-8t Suppose y = 5t* +2

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Q: dy 5. (3 pts) Determine given: dx аx*у3 — bху %3D 36 where a and b are constants.

A: 5. Given relation is, ax4y3 -bxy=36 We have to differentiate this relation with respect to x.

Q: . (r+ 4y – 8)dx – (2r + 8y + 6)dy = 0 Answer": 36(y – 2) + 22ln(-3x – 12y + 13) = ( %3D う 」フ ょうん。

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Q: If x =1 +1 and y = 21, find 4. dy dx a. 3t b. 61? 612 с. 61? d. 1? +1 (r* +1)*

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

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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: ∫(5e5√y/√y)dy That is 5e to the (y to the 1/5)

A: We have to find

Q: dy =2x+3 and y=3 when *=2. What is the value of y when *=>? dx Suppose

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Q: dy Given y = u? - 1 and x = u2 + 1, find dx

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Q: b) Eiven that x -t'+ 3t² and y=tt- 8t? 2. Find dy i) Find when t=1 dz

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Q: dy = 2x y? + 3x²y², y(l)= -1 26. dx

A: by separable variable

Q: dy If x2 + y? = 13, then at dx the point (2, 3) is : -3 2 -2 3 -4 3

A: x2+y2=13 differentiate with respect to x, 2x+2ydydx=02ydydx=-2xdydx=-xy

Q: d’Y Find x = t + t Y = t? + 3 2) dX?

A: Here I am attaching image so that you understand each and every step.

Q: d²y What is the degree of the DE dx2 dy 1+ dx A 1/2 с) 3 D) 2 B.

A: Authoring guidelines:…

Q: d'y Given that y = √3x+5, find the value of k such that dx² kdy dx = 0.

A: Given: y=3x+5 To find: The value of k such that d2ydx2-kydydx=0.

Q: dy Given that x = 4:3and y = t + 2t, then dx O A. No correct answer OB. 2t +2 12t? OC.t+2 4? OD. 2t…

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Q: Let F()= [x)dx, where fx)= JN6+12u du Then F"(2) is?. !! OA 240 96 OB. V OC. 54 OD. 12 OE No correct…

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Q: d?y 6. - 2 +y=3e4x, given y(0)= dr2 dy dx 1 and y'(0) = 4 3 2/3

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

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Q: Ex6: Find for the foll dx a) x² y? = x? + y? 2 X-y c) - = 2 at P(3,1) x-2y Sol:

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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 Find dx Assume a, b, and c are constants. ,3 (a) x² + y³ = 8 2 (b) ax² – by? = c². -

A: Differentiation problem

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

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Q: J(y) = S. [(2x – 3)²y? – 6y²] dæ, - 3)²y2 – 6y²] dx, Y € C²[a,b] Find

A: Given:

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: dy when t =7. Evaluate xp y = 2z? - 3z +5 x = 4t' +t t= z? +z+1

A: Given that,

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: dy Find for the following expressions: dx a) y = x5 In(3x)

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Q: dy If y = e4a+19 then dx

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Q: dy Given x2 + y? = 2022 – 2xy, we have dx %3D O 1 O 2 Other:

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Q: Find dy/dx2 in terms of x and y. y = x5 d?yldx? = %3D

A: y4=x5can be written asy=x54 differentiating with respective x dydx=ddxx54=54x54-1=54x14

Q: dy You need not expand your answer. dx Calculate y = (7x0.5 – x2)2

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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: dy If dx 14 and y = 27 when x 1, find y(2). 3x-2 A) 27 26 B 27 40 27 27

A: