3 If y=/x²5x²_36 x²_3x²+¥x-12 | shuw that dy dx4 24

Q: 11). If dy = (2x – 3) dx and y = 2 when x = 3, find the value of y when x = 5.

A: As per the company guidelines we are supposed to answer only the first question.Kindly repost the…

Q: ind dy/dx. y= -3x square root of 1-4x^2

A: Differentiation of the function with respect to x helps to find the derivative of the function.…

Q: dx Integrate: S x²-3x+2

A:

Q: 8,1 CLASSWORK a.) 4x dx 2x +3 1-

A: To evaluate the given definite integral.

Q: Find dy dx 2 for x²exy = 5 WA/

A:

Q: 3 how that S 5x(1 – x²)² dx = 1

A:

Q: 6 iven differentinl ....(1x) dx = 2x+y with (2*)

A:

Q: 7. Solve for dy/dx if x = 2 + t and y = 1 + t2

A: From the given problem: x=2+t;y=1+t2 As we know that the Power law: ddxxn=nxn-1 We know that:…

Q: EX Fin d 1-3X dX -3x) dx

A:

Q: 6. S: Ja2+1)2 dx x³ex? dx (x²+1)2'

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: 2 4 Evaluate Sx dz dy dx 3

A:

Q: 7. (2x + 3y)dx + (3x + 2)dy = 0 When: x = 3, y = 2

A:

Q: Find dy. y = x/9x - 7 27x - 14 dx 9x -7 27x - 14 dx 29x -7 O 27x+ 14. dx 2/9x -7 27x + 14 dx V9x -7

A:

Q: Example 3: Estimate S, x² dx with n=4 by Midpoint Method. Solution:

A: Here first we will divide the integral range into 4 equal parts and then we will calculate the…

Q: 2 Find So (3x2 + 4y³) dy dx.

A: Topic:- double integration

Q: Find dydx for y=ln2x3−x2

A: This question is based on derivative.

Q: If y = u² + 6u - 2 and u = 4x² + 8x + 1. Find dy/dx.

A:

Q: (A) Evaluate / (4x – 5) (4/x + 4x) dx. x² + 3x - 6 (B) Find dy -, if y = 3 -)4 when x = 1 %3D dx

A: *we have to perform integration operation in A & differentiation operation in B.

Q: Find dy/dx if y = 3x® – 2x³ + 6x + 1.

A: Solution

Q: dy 2+ ytanx (4x + 5)² .3 dx cosx

A:

Q: 35. (yA – 2.xy) dx + 3x² dy = 0; when x = 2, y = 1 Answer: x = y'(x + 2)

A: I had solved the given equation by making it as Bernoulli differential equation which is of the form…

Q: Differentiate. y = In [(x + 4)(3x- 2)(5 – x)] d In (x+ 4)(3x – 2)(5- x))] = || dx

A: We have, It is known that the derivative of ln(ax) is, and derivative of the function of u.v form…

Q: OFind dy 9= (x²45x)"(x + Sec

A: The given function is: y=x2+5x4x+sec x5

Q: 9 Find for y = (9x - 7) dx dx

A: The function is given by y = 9x-7-79 To evaluate : dydx

Q: (A) Evaluate S (3x + 6) (4\/¤ +1) dæ. dy if dx 3x2 (B) Find 2 5 y = = (- 5 + 2x – when x = 1

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

Q: 10. x = Vt-2, d²y y =t2-3' dx2

A: The given question is taken from the derivative and we have to find the derivative of the parametric…

Q: Sx² cosh (1-x³) dx

A: Let the given integral be I - I = ∫x2cosh1-x3dx                   ............(1)Let,t = 1-x3…

Q: 4 4 + x2 Find 3 x° + + 4/x ) dx - -

A: Given integral, ∫x3+4x+4x2+4xdx

Q: Find dy/dx if y=3x2 – 2x.

A:

Q: 2 If "IF(x)dx=6 and frox)dx=7.50mm [rodr then f(x) dx = 5

A:

Q: 3. fz √z dz 4. (2x² 3x + 5) dx -

A: 3. ∫zzdz4. ∫2x2-3x+5dx

Q: 9. If dy = xy² and if y = 1 when x = 0, then when y = 3, x is equal to dx 0 -0 DIE

A:

Q: (3– 3cos5x)} (3x² +2x-7)² (e - sinx +3x) y= Find dy/dx if

A: That's computational, take a careful look.

Q: 14 Approximate (x2 - 3) dx using 4 rectangles. 2

A: Solution -    Given Integral is -  y=∫214(x2-3)dx    Now we have to evaluate the value of the…

Q: 15. If y3 – xy = 5 ,1 d²y then dx2

A: y3-xy=5

Q: 6. 2 I (ve**)dx dy у /2

A:

Q: dy _ ху+3х— у-3 dx ху - 2х + 4у -8

A:

Q: ' 7 cosh (x) dx = 1

A: We have to evaluate the integral ∫197coshxxdx

Q: 12. Find dy/dx (x – 2)(x + 1) 3 X y = (х — 3)4 -

A:

Q: Find S 6+ 3x + 4 dx x2+1

A: Solution:

Q: 9-y dy 5. S y

A: We will use trigonometric substitution.

Q: Find dy/dx of  1. y=x3 (2x2 -1)

A: Given, y = x3(2x2 -1) Multiplying the x3  with (2x2 - 1)  So, y = 2x5 - x3

Q: Show that d (x3 Inx -국x) 3) = 3x² In x dx

A: Hi! You have posted multiple question. So, we will be solving only the first question as nothing is…

Q: 7. sech²(Inx) dx X

A: Let's solve given integral.

Q: 5, S₂(4 - 2x)dx

A:

Q: 1. y = x3 – 2x² + 3x – 5 - - dy 3x2 – 4x + 3 - dx

A:

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.