1. 4(х- 3) 2. 2x( 2x + 2) 3. Зx(x-4) 4. 4x(x +7) whn

Q: Use the Laplace transform to solve the initial value problem below: b) y" + 3y' + 2 y = f (t) Where ...

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Q: Consider dx and using u-substitution in rewriting the integrand as a function of u and du . x(1+vx) ...

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Q: The integral J dx reduces to e+1 where u = f(x) and for some constant k.Compute f(1).

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Q: (9cosx+y°cosx) dx +2ysinx dy = 0, y(5)= -4 the value of the constant (c) of this D.E will be:

A: Solution is written in below steps.

Q: 9 Evaluate xp.

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Q: If S(16x4 – 16x³ + 4x²)dx = F(x) + C, then F(x) ?

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Q: Use sigma notation to write the Taylor series about x = xo for the function. 10 In x; xo = 1 k =

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Q: Q2) Show that y = 35 x* – 30 x2 +3 satisfies ( 1- x² )y" – 2xy' + 20y = 0 %3D

A: y =35x4 - 30x2 +3 satisfy (1-x2)y" - 2xy' +20y =0 for this wew find  y" and y' y' = 140x3 - 60x y" =...

Q: Q6) Evaluate the following integral by using Odd and Even Powers Method: y = cos* (;x) dx

A: y=∫cos412x dx

Q: (10xy + 8y - 32y +7)dx+ 2(x +2xy– 4x)dy =

A: To solve the differential equation , I have used the method of exact differential equation and then ...

Q: What is the value of 7/2 x(3 cos(x) + sin(x))dx ? 7/2 Give your answer as an integer or as a decimal...

A: Given I=∫-π2π2x(3cos(x)+sin(x)) dx To evaluate the Integral I :

Q: Question 2 of 9 Which of the following functions is continuous on all values of x? Select the correc...

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Q: Find the exact value of each expression, if it is defined. Express your answer in radians. (If an an...

A: Given query is to find the value of indicated angles.

Q: Consider dx and using u-substitution in rewriting the integrand as a function of u and du. Determine...

A: For the solution follow the next step.

Q: Q6) Evaluate the following integral by using Odd and Even Powers Method: | cos* (;x) dx y =

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Q: du Compute f CSC X u = f(x), then dx sin x – cos x 2 -

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Q: What is the value of 7/2 r(3 cos(x) + sin(x))dr? 7/2 Give your answer as an integer or as a decimal ...

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Q: Answer the questions for the function f(x) = 3x - 24x a. Find formulas for f'(x) and f"(x). f'(x) = ...

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Q: Determine whether the series converges. Σ 1 k=1 2k – 1 The series converges. The series diverges.

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Q: Use sigma notation to write the Taylor series about x = xo for the function. 6 In r; xo = 1

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Q: Determine whether the series converges, and if so find its sum. 4k+2 Σ 7k-1 k=1 1) This series can b...

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Q: A straight river flows east at a speed of 8 mi/h. A boater starts at the south shore of the river an...

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Q: Find the solution of the following Differential Equations 2) (xdy- ydx)/x 0 4) 2x In(y)dx+ y'r dy 0 ...

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Q: 8 구 6 5 4 10 -9 -8 -7 -6 -5 -4 -3 -2 2 -4 -6- -10- Find the parametric equations for the graph shown...

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Q: Solve the following initial value problem for y as a function of x. dy x = /x? - 16, 3x dx x24, y(4)...

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Q: .......

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Q: Given: (25(x)dx e-x3 There is a function f (x) such that when u = -x³, the resulting integral is f 2...

A: Let's find. 

Q: 1- 8x + 72(-1) (k + 7)! k! k=2

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Q: Evaluate the following differential equations by method of variable separable. Show your solution. 1...

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Q: 2. Given: a1 16, а4 1024 Find: az =? а. 12 b. 18 с. 36 d. 64

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Q: dx 6. Evaluate 5-16r

A: Evaluate ∫dxx83-16x2

Q: 18. If x² + 2xy = y² then y' is b. 2x + 2y d. -x

A: (18). Given: x2+2xy=y2   We know that; The sum/difference rule: f±g'=f'±g' The Power law: ddxxn=nxn-...

Q: 5. The standard form of the first order linear differential equation dy-(cscx-ycotxldx=0is

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Q: The integral / 2cos(2')dr takes the form & cosar du when =2 and/(x)=x-5 What is the value of (+2)? 2...

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Q: æ(t) 6 y(t) = et + 11 (a) Cartesian Equation, be sure to express your answer as an equation: (b) Ran...

A: Given query is to find the value equation I'm Cartesian form.

Q: Determine the critical numbers of the ff. functions.

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Q: Q4) Find dy /dx for the following functions: a) e*y = x – y b) y = (cos x)Vx

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Q: Consider the following sequence: 7" {an} 3n2 n=1 An+1 to show that the given sequence {an} is strict...

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Q: Eliminate the parameter to find a Cartesian equation of the curve. x(t) = 101nt y(t) = Vi (a) Cartes...

A: We need to eliminate parameter and find range for a and y.

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, c = 5 P4(x)

A: taylor series

Q: Find the derivative of f(x) = sec(tan(x) + cot(x))

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Q: Solve using the U-Technique Question 17 For f (-4х-12) dx (x+10)³(x-4)³ F(x) - 1. What is F(3)? ... ...

A: given that ∫-4x-12x+103x-43=Fx-1find F3

Q: (a) Plot the first four terms of the sequence Зn? - Зп +2 2 (b) (i) Write in bracket notation the se...

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Q: Solve using the U-Technique Question 19 1+ In x Find f(x) so that when u = f(x) the integral tan( f(...

A: Here, given that when u=f(x), ∫1+ln xtan(f(x))dx=∫cot u du⇒∫1+ln xtan(f(x))dx=∫1tan u du

Q: Find the differential equation whose solution is given by: y^2=4ax

A: To find the differential equation for               y2 = 4ax differentiate this equation with respec...

Q: A Complete the table. du formula answer 24x +2 (2x -1) (Ax + 2)3 d 2. 7Vx - Sx de Se 3nin2 de sin S ...

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Q: 1 (ke)3x For ſ k*e3*dx = + C. If u = 3x, then k =? 3 (1–In 2-1)

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Q: Given A=-3ay +2ax +4az, B=3az -2ay + 5ax and C=-3ax +4az +5ay. Find a. A+2B-C and b. I 2A-3B+C I.

A: Given A=2ax-3ay+4azB=5ax-2ay+3azC=-3ax+5ay+4azA+2B-C=2ax-3ay+4az+10ax-4ay+6az--3ax+5ay+4az          ...

Q: du formula answer 24 +2 (2x-1)"(Ax + 2)""

A: Given: I=∫24x+22x-133x+23dx  ...1   We know that; The Product rule: f·g'=f'·g+f·g' The Power rule: ∫...

Q: 12. Evaluate ((1– cos x) dx a.) 1- sin x +C b.)x - cos x +C c.) 1- cos x+C d.) x- sin x+C 13. Evalua...

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