t"(x) If t(x) = Vx find t'(x)' O -1/2x O 2x 1/2x -2x O None of these

Q: Q3. Solve in terms of Bessel's function, the ODE: x²y" + xy' +((inx)² +) y =0 z=lnx using a Rule…

A: Here, x2y''+xy'+lnx2+14y=0,  z=lnx.

Q: D. f(x) = In x + 2e - 3x2

A:

Q: = In (2x) + cos (6x)

A:

Q: 1 If y = V1-x then y' = 2/1-x

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Q: 1. If f(r) = 3 find f(x) I – 4' |

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Q: If f(x) is continuous on (-15,-5)such that, -10 SI5 f(x)dx=13 and/" f(x)dx =6 then find f(x)dx -10…

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Q: Find the GS for x³y"" + 6x²y" + 4xy' — 4y = 1 − x − 2x² -

A: Solution:-

Q: ex: show that (H.W) (xJ,(x)' = -x Jv+1

A:

Q: Show that, for any constant k, f(x)' dxL k f'(x) k

A: To show: For any constant k, ddxf(x)k = f'(x)k

Q: [xVtan x² sec* x² dx -

A: Given,         ∫xtanx2sec4x2dx

Q: 1. f (x² + 1)(x² + 3x) dx

A: To evaluate the given integral.∫x2+1x3+3x4dx

Q: b) y =1+ f(z)=2x-2 O 1ks f-(z)=-1 O 2 34s (2)=2x-1

A: Step 1 Replace y with x and x with y  Step 2 Then solve for y in this equation  Step 3 Replace y…

Q: dy 5. x- 3y = x². dx

A: (5)We need to find the solution of given differential equations

Q: 1. What is f(x) when f(x) = 2x² + 3x² - 2x + 1 O8x³+6x-2

A: Given,

Q: The function f(x)=(x)/(x-1) is discontinous at x=1 because

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Q: f(x)=√√, find f'(x) O (1/2)x Onone of these answers O(-1/2)x1/2 1

A: The solution is given below

Q: A 2xe ²x² B Xex² Ⓒ2e+² D 2xex² Let f(x)= ex², find f'(x)

A: given  f(x)=ex2d dx(ex)=exd dx(xn)=nxn-1

Q: O X 3. Find f'(x) when f(x) = √16x²

A:

Q: -1 Ax) = 7xsin (x) f'(x) =

A: SOLUTION-

Q: (2 11) dx (x+2)* (x-1) *

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Q: Y= xy3x=5 (унуза

A: This is question of calculus  Here one equation is given  We have to decompose  it by apply both…

Q: dy If y = e5z+14 then- dr O 5e5z+14 O 70e5z+14 O 4e5z+14 14e5 14 O 6e5z1 14

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Q: 元 |r' cos xdx

A: Solving the problem by finding the value of definite integral.   NOTE :: As per our Expert…

Q: If h (x) = (x² – 2x 43 04/0 0 - 12/25 3 00 - (x² – 2x − 1) ³, then h' (0) =? - 43

A:

Q: p(x) = x / 5 x = 1,0,1

A: Given, p(x) = x / 5 ;        x = 1,0,1

Q: 7. If y = e*², then d²y dx2 boins9 (A) (2x)(x² – 1)e*²-2 stod beniu (B) ex2 (C) 2xe*2 (D) (2 +…

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Q: If the price of 35 tons of steel is RO 250,000. Find the cost of 900 kg (Kilogram) of steel.

A: Given that the price of 35 tons of steel is RO 250,000.

Q: Let ø be a C' function, and suppose 00 $(x) = >, b,Un(x)., ø"(x) = ), cnUn(x). %3D n=1 =1 Express…

A: Here in the question it is give that ϕ is a C1 function .  Consider the given function as follow:…

Q: dx 6) Stanh-¹ (in √x) x (1 - in ² √ x

A:

Q: If f(x) = (3x – 2)(2x + 3), then a. f(– 2) b. f'( – 2) = c. f''(– 2) d. The values of x for which…

A:

Q: x) such that f"(x)=2r' +3x-4

A: Integration: f''(x)=2x3+3x2-4x+5; f0=2, f1=0 ∫xndx=xn+1n+1+c

Q: x) [in(3x²-36)]². Then f'(x) = A. 12x In (3x²-36) 3x²-36 O A. O B. O C. O D. O E. 2 In (3x²-36)…

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Q: Given f (x) = x³ - 3x – 1,x 2 2, find (f~')'(-1)

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Q: If f(x) = 5x, then f'(2) = %3D %3D O 15x? O 40 O 30 O 60

A: We want to find the value of the derivative of the given function at x=2. The given function is…