14. dr/dt = -2tr, r(0) = ro

Q: 9. dx dt = x2 – 5x + 4 =

A:

Q: Differentiate. y = In (6x? - 5x + 3) y' =O

A: Given: y=ln6x2-5x+3 We know that ddxlnx=1x…

Q: (1-xy)-² dx + [y² + x²(1 - xy)-²] dy = 0; -2

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Q: Find y'. x3 +yở = 8£y

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Q: +4x –1 dx x' - x 2.

A: As per our guidelines we can help you in solving only first problem rest of the problems you have to…

Q: If y = 3 then dy/dx = 4+x O -6x/ (4 + x² )2 O 3x/ (4 + x² )² O 6x/ (4 + x² )2 O -31 (4 + x? )?

A:

Q: 6. S t √1+2t dt

A: The given integral,    ∫t1+2t4dt

Q: dt 1 - sec t

A: Given that: ∫dt1-sect

Q: х? + 2х + 9y? — 18у + 11 3D 0 Is the equation of: Select one: О а. Нурerbola O b. Ellipse O c.…

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

Q: (x²-ax +4" dx

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Q: dv -x +z=lz N

A: Given :dvdz=e-xz

Q: Show that cosh (3x) = 4cosh³r - 3 cosh T.

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Q: 8. f sec² (3x - 1) dx

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Q: Differentiate. y = ³√√x³+3x+1.x4

A: Given function y = x3 + 3x + 13.x4

Q: Fnd llull, lv , Uov, and d (4,v). (-1,7) , v- (1,9)

A: According to our company guidelines we are supposed to answer only first 3 sub parts. So here I'm…

Q: Find y'' for y = 5x +4. 25x2 y'= - O A. 2 (5x? +4) 1 y" = O B. 4 (5x2 + 4) 20 y" = OC. (5x? + 4)…

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Q: S t /1+3t - dt

A:

Q: Find y '  if  x  3+ y 3= 6xy

A: Given: x3+y3=6xy for finding y', we differentiate given equation with respect to x so,…

Q: 4. (x² + y²)dx - 2xydy = 0 [Ans. x² - y² = cx]

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Q: Find y'. 9) y = (5x-2)(3x + 1)

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Q: dy 1– y? dx

A: To solve the differential equation x2ydydx=1-y2 apply the method of separation of variables. Group…