4x- 3 %3D x +1' 3. Repeat question 2 for the rational function f(x)

Q: dy Q2) Solve x- 2y = x³ tan 2x dx

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Q: y-(x-5)2 + Sin-l XY 4.

A: To expand: y-(x-5)2+sin-1xyx+5.

Q: If y=2x arccos x-2/1-x2then y is dx 2/1-x2 B 2 arccos x 2x arccos X None of the given choices (E 2…

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Q: -(3x² + 10)e¯= d Evaluate dx (3x² + 10)e¯ª at x = 0. d (3x² + 10)e dx x=0 II

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Q: Graph the function over a one-period interval. 29) y = 4 + 4 sin(x - n) A) B) 3+ 1+ 2 D) 2x 2

A: Transformations can be used to graph a particular function from its corresponding parent function.…

Q: Q5// S- 3/x11(x2+1)(x-1) +5(x-1) 2/x5 (x-1) dx

A:

Q: dx 1.5- 2x-x e if y = r(In x)² . . fr'e* dx. 2 if y = csch-1 20. de 2x+2 dx. -2x+1

A: since you have posted question with multiple subpart s, As per our guideline we supposed to answer…

Q: 1. f(t) = -e-3t sin 4t + 3

A: L { sinat } = as2+ a2 , L { eat f (t) } = F ( s- a) where  F (s)  is Laplace transformation of f(t)L…

Q: 8. Given f(x) = sin(4x + 17/7) a) 0 b) 4 find f'( c) -4 d) 1

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Q: e" sin°(2x) (d) y = In 2x2 + 1

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Q: 2. Suppose that you have a circuit that has a resistance of 6 Ohms, capacitance of 1/24 Farads, and…

A: We’ll answer the second question since the exact one wasn’t specified and we answer upto 3 subparts.…

Q: 3e2* -1 d) lim 2x 4e* +cos x

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Q: c. Let y = x-5 – 3 ln () – d³y a x3 (or) y(3) -7 sin 3x. Find

A: Explanation of the answer is as follows

Q: -2 e* sin(x) -dx 1+ x2

A: the solution is as follow we will solve the given problem by numerical method  Trapezoidal rule

Q: 2х —1 The value of| dx is 1+x-x, tan А. 1 В. О С. 1 D. 4

A:

Q: Question (1): Let f(x) = 2x* –- 3x³ + 5x + 1. Find the value of at x = 1. dx

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Q: Solve th D.E using Exact -(3x² – 6.xy)dx +(-3xr' – 2y)dy = 0

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Q: Q4. Evaluate : O (xy²) dx dy -√1-(x-1)²

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Q: his question is designed to be answered without a calculator. = f(x) = 1-2e-x, then f has horizontal…

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Q: Q1-Find dy / dx for the following functions: -2 2.8ln2 Cosh9x Y= 4 3 2 * Inxy cos0 log, 2

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Q: (-4x-12) dx For J x+10)³ (x-4)³ F(x) – 1. What is F(3)? -

A: Given: ∫-4x-12x+103x-43dx=Fx-1   ...(1)

Q: 2. Suppose that you have a circuit that has a resistance of 6 Ohms, capacitance of 1/24 Farads, and…

A:

Q: Determine the lowest positive root of f (x) = 8 sin(x)e–x − 1 using secant method five iterations,…

A: Given f(x)=8 sin(x) e-x-1   To Find: Lowest positive root using secant method five iterations and…

Q: Solve th D.E using Exact (6x² – y +3)dx+(3y – x – 2)dy

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Q: Q2: Fill the blank: 1) lim (1+)5x x48 4x 2) lim x.e-3x = X-8 3) (csch-¹x³) = = 4) ₂° e-*dx 5) S-…

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Q: 5) (2xy -3y) dx + (x-x) dy = o

A:

Q: 1/e -1/2 S 10x*-2(1-x²). exact value of dx 1/2

A: Given that

Q: ex sin(e*)dx 8+cos²(e*) (x+2)dx x2-3x+5 dx -2 x²+4

A:

Q: 2. Suppose that . f(x)dx = 9 and S g(x)dx = 4. Find the exact value of 2f(x)dx.

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Q: determine the annihilator of the given function. Q. F(x)=17e3x sinx

A: The given function is  F(x)=17e3x sinx. It is of the form , xn-1eαx sinβx. n=1 , α=3 , β=1. The…

Q: f sinh3³ x dx Ocosh³z-coshz+C O3 cosh³r+C 3 Ocosh³z + cosh 2+ C Ocosh³ +C O None of the choices

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Q: 13. (D² -1)y = x³ sin 3x

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Q: h(x) = x – sin x for 0 <x < 4A -

A: Given the h(x)=x-sinx for 0≤x≤4π We need to determine: a)the intervals of monotonicity for the given…

Q: 5. Let y=(f(x)+5x^2)^4 and suppose f(−1)=−4 and dy/dx=3 when x=−1. Find f'(−1).

A: Given , y = (f(x) + 5x2)4 and also given that ,f-1) = f , dydx =3 when x=-1 , we have to find f'(-1)

Q: f(x) = arctan (V2x + e-4z

A:

Q: Compare dy and Ay for y = -4x² – 3 at x=-1 and dx = Ax = -0.06. Give the answers to four decimal…

A: Given:the equation of y is y=-4x2-3 at x=-1  and dx=△x=-0.06To find:Find the value of dy…

Q: Solve for x(t) for the given ODE with initial values. x"(t) + 0.25x(t) = 0 with x(0)=3 and x'(0)-4

A:

Q: x²-a? 6.) y'of y = arccos² х-а + arccsc + arcsin- x²-a² a 7.) y"ofy = (x – a)V2ax – x² + a²arcsin…

A: Given  Y=arccosx2-a2x+arccscx-aa+ arcsinax2-a2

Q: dy 1. Determine the general solution of x = 2 – 4x3 dx

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: a) f(x) = 10r23 + el2 + 53 - In(r)+ arccos(x) %3D

A: Given

Q: 28 Find nd [² [ 2h f f(4x)dx if f(x)dx = 5. 16 Enter the exact answer. [fe f(4x)dx =

A: Given :∫1628f(x)dx=5

Q: dy Q2) Solve x – 2y = x³ cosec 2x dx

A: The above equation is a first order differential equation know as Leibin'z linear equation. The…

Q: x sin(x² )dx 2.

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Q: ex f(x) = x2 + V1 + 2x, 4 s x < 6 lim n- co i = 1

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Q: 1. Find for the following functions : dx 3(x* - ' –1) 5) y (ans.:

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Q: Find the complete solution of √1 + x² dx + x(1 + y) = 0

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Q: 2a S (-1)*-1 NT sin x exp[-(nx/a)²t1] T(x,t) = a

A: The given equation is a heat(diffusion) equation.

Q: [2x.ex dx=2x.e-fe.2dx =2x.e- er.2 =2e* (x-1) H.W. 2-1x3.ex de 3- f x2. cosx dx 들 27

A:

Q: x² (d) S √1-4x² (HINT: sin² t = dx. (1. (1 - cos 2t).)

A: We have to evaluate ∫x21-4x2 dx.

Q: Can someone solve this Exact DE. 1. (2y3+2xy2-x4y)dx + (x5+2x2y-x3)dy=0 Thank you

A: Given that: (2y3+2xy2-x4y)dx+(x5+2x2y-y3)dy=0