/2 ( 2) (2a- z) dr x2) ? dx • B I A , E E E E 8 &

Q: /3 2 %3D

A: To find: The value of dydx. Given: The equation is y=x35x2+1-23. Formula used: Chain rule of…

Q: Q2 /Find dy/dx, if: (1) x y+y =x2 (2) y = 3x* -5x' +10 у -

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Q: ● √3x dy dx √x² + y² So So

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Q: y(xtanx+In y)dx+ tanxdy3D0

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Q: Let y3 - 4x = 2xy. Find d2y/dx2. Show work please.

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Q: (») LLa (1-y? In(x² + y² + 1) dx dy 1-у2

A: Given: ∫-11∫-1-y21-y2    lnx2+y2+1dxdy

Q: dy will be dx If y = (5x + 1)(2x-1 + In x), then

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Q: dy at the point (1,2). dx If x + xy + y =7, find the value of

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Q: e dy dx У-х+1 У-х +5

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Q: dy from the equation 3xy2 + 4 dx Evaluate y _ y-5 11 when x =1 2x2 – 1

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Q: Determine the value of- dy - at (0,0) for the following expression: 3x² +2y = 3x – 2y dx 10.

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Q: Evaluate the integrals

A: The given integral is ∫02∫03y∫x2+3y28-x2-y2dzdxdy.

Q: dy 5x+4 Use 4-step rule to find given that y dx 2х-3

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Q: 16- y? V16 - x2 x dx dy 2.

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Show that -a²x² dx = VT/2a, a > 0, I = e by noting that I = -a²(x²+y³), dx dy -a²r², r dr d0. e

A: We need to show thatI=∫0∞e-a2x2dx=π2a,      a>0

Q: 2e2x -1 Let y = %3D et dy Find dx

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Q: dy Suppose 2e-2* and y(1) = 4. dx What is y(2)?

A: Given,  dydx=2e-2x and y(1)=4

Q: What is the I.F of (2y^2+3x)dx+xydy=0?

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Q: Solve the differential equation in Exercises

A: Given 17. dydx=2x1-y2 ,   -1<y<1 18. dydx=e2x-yex+y

Q: y=(sinx)x    d2y/dx2 ?

A: Apply exponent rule and solve:

Q: y = (ax-1) (6x.+5]%3 find dy dx 10

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Q: (y* - 2xy)dx + 3x?dy = 0; when x = 2, y = 1

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Q: dy dx What is y(2)? Suppose = 6x² + 2x − 3 and y(0) = 4. - oy(2) = 14 oy(2) = 16 oy(2) = 18 oy(2) =…

A: The answer is given below:

Q: Y = 4x²-5 Vsx dy=?

A: We want to find derivative of y, The given expression for y is,               y=4x5-55x

Q: y = ( 2x³ - 8x )* Find dy/dx when x = -%

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Q: + 2y = 1- x>0 dx

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Q: 1-y² V1-y? I-2(1- x) dy dx

A: We will divide and integral the given function

Q: dy Find dx2 4 if y = x cos(x) d²y dx? ||

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Q: How would I do this question?

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Q: dy at t = 2. dx If x = 5t +4 and y = 3t° -7, then find а. 4 b. 1 с. 2 d. 3

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Q: Find 2," dy d²y dx ' dx? d3y and from: dx3 3. x = 1 – t? and y = 2t3 – t2 + 1

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Q: + 2e* – 4V¤)dx , where f(0) = 7 -

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Q: 9. (х +у) dx - (у -х) dy %3D0; у (1) %3D1

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Q: y = (3x² + x-2)-1; 49 -1 , dy dx

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Q: 2-dy dy. y2 dx 12 ナ /2

A: We have to solve the given equation. The given equation is 2-dydX=y2X2+yX+1    ......(1)

Q: Sõlve: d²y Y- dx? d²y + = 7(y+1)- dx? dy dx

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Q: df Find and dx of dy 2 2 f(x,y) = /3x +4y?

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Q: Find dy/dx of 6x? – 4y² = 10 at (1, 2) 3/2 None of these 4/3 -3/4 -4/3

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

Q: -2y Six*y dx dy 3.

A: Given a double integral ∫12∫02yx3y dx dy we need to calculate This can be done as:

Q: Evaluate the integrals

A: Consider the given integral, ∫02∫-4-y24-y2∫02x+ydz dx dy integrate with the given order of the…

Q: Evaluate В: А: 3e-422 dz Jye-y dy 0, 0,

A: In the question it is asked to calculate the integral of two functions given below: ∫0∞ye-y3dy…

Q: Evaluate dy/dx from the equation 3xy^2 + 4(y/x) - (y-5)/(2x^2 - 1) = 11 when x = 1.

A: Given equation,  3xy2+4yx-y-52x2-1=11 Differentiate with respect to x

Q: dy – y – 5x* – 3x² + 2x = 0 dx - -

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Q: xdy = (y-Jy?+x²)dx when x= 12 y= 2 2,

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Q: dy -(3tan x)y = 1 dx 2.

A: Given that, The differential equation is following, dydx - (3tanx)y = 1 We have to solve the DE.

Q: dy 2 ,? cosx +-y = -x²y dx %3D

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Q: te ove (2y – x) dx dy 16-y2 12. -4

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Q: by (3x? + y²) dx+ (2.xy) dy 7. C: 3D1 from (3,0) to (0,4) %3D - = 1 6.

A: We are given the following integral:∫C(3x2+y2) dx + (2xy) dy over the path C: x29+y216 = 1 from (3,…