Calculate the real values of x and y such that (x+y)³ is bigger than 8

Q: Evaluate the integral x cot x² sin(in |sin x²l) dx.

A: LetI=∫ xcotx2sinlnsinx2dxSubstitute u=lnsinx2Differentiate du=1sinx2ddxsinx2du=1sinx2cos(x2)ddxx2du=...

Q: Plot the following functions 2. y = (x – 1)3 + 2

A: Topic = Function

Q: 9 Evaluate xp.

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Q: S 4x -Ry +32 = -2 2x +2y + Sz = 15 X+2y+3z=-3 -1x ty-2= 6 ! 3x-3y +22 = -4 ち=えも-s-x8 14+3x+2< 4y-2x ...

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Q: Evaluate 3x*–17x²+36z-35 d 1-4z+4 a. 클2-5r-4ln lln-21+ +C O b. 클23-5z + 4ln lin-21+ +C 클고고 + 5z + 4l...

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Q: Find the particular antiderivative that satisfies the following conditions: dR 20 R(1) = 50. dt t2 R...

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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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Q: mpany has a cost for producing x items of 55x+33 and revenue is 95x-0.5x2 what is the profit

A:   The profit is the revenue minus the cost

Q: Use the root test to determine whether the series converges or diverges. If the test is inconclusive...

A: CONCEPTS:  

Q: If cotx 12 find the other trigonometric functions

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Q: III Find the following: (Show your solution) Given: I미 = 35 |AN B| = 6 |AN Bn C| = 2 |A| = 15 |An C|...

A: Given that:  U=35, A=15, B=15, C=14, A∩B=6, A∩C=6, B∩C=5, A∩B∩C=2 We have to find: 1. A∩B∩C¯2. A∩B¯∪...

Q: Use sigma notation to write the Maclaurin series for the function 5 In(1+x) Σ

A: To find: The Maclaurin series of the function f(x)=5ln(1+x). Concept used: The Maclaurin series is f...

Q: Find the derivative of y with respect to x for y = sinh 1(11/15x). dy 165 dx 2/1815x? + 15x

A: Given query is to find the derivative of the expression.

Q: Consider the integral 2nx g(x) dx. There is a function g(x) such that when u = In x the resulting in...

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Q: Evaluate f-4*3 dx In4 b,- -3in4 +C C. In 64 d. none of the above Evaluate f4x cosx dx a. sin x + C b...

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly re-post other...

Q: Evaluate the integral ex /2e-2x – 3e2x xp-

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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: Find the indefinite integral. (Use C for the constant of integration.) sin x dx 3 + cos² x

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Q: If u = f(x), then S k dx = +C for some constant k. Compute kf(1). %3D x*+2x2+1 x2+1 4 -1

A: u=f(x)f(x)=xx2+2I=∫ xx4+2x2+1 dxI=∫ x dx(x2+1)2u=x2+1du = 2x dxx dx =du2

Q: Consider the following sequence: {an} = {n – n}, Use a+1 - a, to show that the given sequence {a, } ...

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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: Provide ONE first-order critical point of the curve f (x) = x4 - 8x² + 16 *Input the answer as coord...

A: Solve by derivative

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

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Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

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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: dx 6. Evaluate 5-16r

A: Evaluate ∫dxx83-16x2

Q: If cotx = 12 find the other trigonometric functions

A: Given that cot (x)=12 -(i)Our Aim is to find the other trigonometric functions.

Q: A statue 3 m high is standing on a base of 4 m high. If an observer's eye is 1.5 m above the ground,...

A: Solution is written in below steps.

Q: Determine the following equation if it is Homogeneous IVP, First, second, higher order equations and...

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Q: 4. The company uses wood and labor to produce tables and chairs. Recall that unit profit for tables ...

A: Follow the procedure given below.

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

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

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Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say ...

A: This is a problem related to series calculation. Based on the ratio test we will determine the natur...

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: The region enclosed by the curve y = sech x, the x-axis, and the lines x= +1In /3 is revolved about ...

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Q: Evaluate the limit below. 1 lim (x,y)→(0,0) 1-x2-y?

A: limx, y→0, 011-x2-y2

Q: Prove that the given equation is a solution to the given DE: 1. = C,e3* + C2e2x + C3e* ; y" – 6y" + ...

A: As you have asked for the solution of Question 3-5 only. So I am solving those only. Hope it helps y...

Q: Determine whether the following sequence is convergent or divergent. Justify your answer. {1+u^ = w^...

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Q: ie lollowing anclions 3 · y² = 6 – x %D

A: Topic = function

Q: 1. The standard form of the general first order linear differential equation in y is 2. The linear d...

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Q: 2 tan(4x-1)-3 cos²(4x-1) If we let u = 4x – 1 for the S dx, what will be the resulting integrand? co...

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

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Q: Determine whether the following sequence is convergent or divergent. Justify your answer {Vn- Vn+1}

A: We need to determine that sequence n-n+1 is convergent or not.

Q: Use sigma notation to write the Taylor series about x = xo for the function. 2 In x; xo = 1 k =

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A: Given :(2-7), (3-8), (4-9)

Q: xdy+(y- xy + 2)dx =0 dx=0

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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: Q5) Use the Chain Rule to express dy /dx in terms of x and y: y = csc t аnd x = sec-1 t

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