(e) S (x2+4x+5)2 d.x

Q: Find the derivative of the following function using the limit definition f(z) = 2z4 − 4z2 . Find ...

A: f''(z) derivative of the function  f(z) = 2z4 − 4z2  using the limit definition

Q: Given the curve in rectangular coordinates x² + 4x + y? – 8y = – 11 Find the parametric equations gi...

A: parametric equation of circle

Q: *e「ス+

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

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Q: (2x² +)x ;dx (x8 + 4x5 + 4x²)² Using u-substitution and transformation of the integrand, then the po...

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Q: I. Identify the elements for the following set expressions given the sets below: (Explain your answe...

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Q: 3T en: S 5x² cos 3x³dx. If u = 3x³, then the resulting integral is S f(u)du. Find f (").

A: Given query is to find the indicated function.

Q: y = cje* + cze²r y" -y – 2y = 0 O 2y " -y' – y = 0

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Q: Q1) Evaluate the following integral using By Parts Method: y = х.In(x3 + x) dx

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Q: 5. The standard form of the first order linear differential equation dy-(cscx-ycot.x)dx=Ois %3D

A: As we know that; The standard form of the first order linear differential equation; dydx+Py=Q Where;...

Q: In a certain bank account, after 10 months, the amount of money is given by the function S(t) = S0e^...

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Q: Find the indefinite integral. (Use C for the constant of integration.) xp J xV81 - (In x)²

A: topic ,- indefinite integral

Q: I. Evaluate the following function below. 3 2 1. S sin'y ( 2 – 3 cos y )´dy 9 3. S sin'x dx 9 4. J c...

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

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Q: Make a 1 rational equation problem involving 3 rational expressions with binomial term with solution...

A: We have to form a rational equation problem such that it contains 3 rational expressions and each ex...

Q: What is the slope of the NORMAL LINE to the given curve y = x + at point where x = 3 *If the answer ...

A: The given function is; y=x +1/x at x=3.

Q: Find the radius of convergence of the power series. (If you need to use o or -00, enter INFINITY or ...

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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: Evaluate the limit. If dne, explain. (2cos(4x² + 7) + [6x² + 4] lim X→+∞ 4x2 + 7

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Q: (х + 2) dx (x + 3) sin y cos y dy In(x + 3) sin? y + C - ans. 2 2.

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Q: Given: ((x)dx Evaluate f(v2). There is a function f(x) such that when u = -x³, the resulting integra...

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Q: Evaluate the integral. cos(5 x) dx

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Q: Evaluate the integral. 15e cos(2x) dx +C NOTE: Enter the exact answer.

A: This question is based on indefinite integral.

Q: Current Attempt in Progress Use the ratio test to determine whether the series converges or diverges...

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

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Q: bacteria culture grows with constant relative growth rate. The bacteria count was 1,920 after 4 hour...

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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: 2. A diameter of a circle has endpoints A(0, 4) and B(0, -2). Find its equation in standard form.

A: As per the company's guidelines we are supposed to solve first question for you, kindly repost other...

Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

A: Topic:- application of derivatives

Q: Evaluate the integral by making a u-substitution and then integrating by parts. NOTE: Enter the exac...

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Q: if we let u-4x- 1 for the 2 tan(4x-1)-3 cos (4r-1) dx, what will be the resulting integrand? cos 4x-...

A: The given integral is  (2tan(4x-1)-3cos2(4x-1))/cos(4x-1).

Q: Jse the difference an+1 decreasing. - a, to show that the given sequence {an} is strictly increasing...

A: Let's find. 

Q: Evaluate the integral using tabular integration by parts. 4 x V2 x +1 dx +C %3D

A: LetI=∫ 4x32x+1dxPut 2x+1=u2x=u-1x=u-12differentiate 2dx=dudx=du2I=∫ 4u-123udu2I=∫ 4u-138udu2I=∫ 14u-...

Q: Find the indefinite integral. (Use C for the constant of integration.) |zV 16z2 - 81 zp

A: ∫1x2+a2 dx = 1aarc tan(xa)+C

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

A: Option A

Q: ollowing functions: b) y = (cos x)Vx*

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Q: dx The integral S ex+1 reduces to f k au, where u = f(x) and for some constant k . Compute f (1).

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Q: 58. Find the maximum volume of a cylinder inscribed in a core of 4 m volume.

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Q: Required information NOTE: This is a multi-part question Once an answer is submitted, you will be un...

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Q: 1. 2x(y-x dx+ dy = 0

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Q: 1 (a) 23k + 2 00

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Q: Use the Chain Rule to express dy /dx in terms of x and y: y = csc t аnd x = sec-1 t

A: Given  y=csct and x=sec-1t  

Q: 26. If tan(0+ a) = 2 and if tan a = -3, what is tan 0? A) -1 B) C) 2 D) 1

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Q: Use the difference a,n+1 – a, to show that the given sequence {a,}is strictly increasing or strictly...

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Q: 2.ly-x dx+ dy = 0

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Q: Question 2 If S(16x4 – 16x³ + 4x²)dx = F(x) + C, then F(x) 16 A 5 4 x3+4x4 3 B (4x² – 2x) 3 16 4 x3 ...

A: The given integral is 16x4-16x3+4x2.

Q: k If u = f(x), then f dx x4+2x²+1 +C for some constant k . Compute kf(1). x2+1

A: topic - functions and indefinite integral

Q: Find the indefinite integral. (Use C for the constant of integration.) 9. dx XV 81 - (In x)2 |

A: Here we will solve the given integral,

Q: Evaluate the integral. x sec (3x) dx = +C

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Q: A baseball diamond is a square with side 90 feet. A batter hits the ball and runs toward first base ...

A: