Consider the function f(x) 1 1-x²

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A: Using inverse operator

Q: 9. Find f(x) and g(x) so the function can be expressed as y = f(g(x)). 8 y = +4 2 X

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Q: Let a = and b = . Find - à - b.

A: Given :a→=5, -5, -1b→=-4, 4, 0

Q: Find the integration of the following functions COSX 1) dx 3+8sinx 2) fx tan(x² + 1)dx

A: In this question, we want to solve the given integrals.

Q: (a) Solve the following: √4x² dx

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Consider h(x, y, z) = ln (xy) —sin (y²)+e** at the point P (1,1,0). 1 the following: (a) the…

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Q: What is the z-transform of the ?signal x(n)=(0.5)nu(n) Roc |Z| 0.5 Option 1 1 (1-0.5z-¹) 1…

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Q: Find an antiderivative F(x) of the function f(x) = = F(x) Now, find a different antiderivative G(x)…

A: Given the function f(x)=-4x-5

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Q: * What is inverse Laplace for 1 (s + 1)² + 1 y (s) =

A: option 2

Q: Which of the following functions is entire? For each, justify. = 2(32) ƒ(z) = 2'

A: Given :   f(x)=2(3z)

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A: Since you have posted multiple problems we will answer first problem for you. If you need any other…

Q: Solve the following equations 2)3x+2 = 27 1) 2Ln(√x + 3) + 2Ln(√x-1)=Ln(6x-7) I 1 1

A: Let's solve both equation.

Q: 15. Use the results of problems 12,13 and 14 and assume that the Maclaurin Series expansion for ex…

A: We have to prove the given equation of complex number

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Q: h pendant. In one setting, the two diamonds would have a mas e second setting, the mass of two…

A: Topic:- algebra

Q: a) yp (t) =) yp (t) = A cos (2t) + B sin(2t) d) y(t) = A cos(t) + B sin(t) Q21) One of the following…

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Q: Obtain the sum of the seri Ean $a = -² 2 n=2 nn

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Q: dh dt k √h(t) ||| h(0) = 2 2 ● T.V

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Q: t t→0 et (c) lim = 1 True False

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Q: Which of these series, if either, converges conditionally? 1. - (−1)k k=√k (-1)k II. Ÿ (- 1)*…

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Q: Evaluate improper integrals if they converge, or 1/7 a) S. 72 de dx shab diverge

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: The acceleration of an object (in m/s²) is given by the function a(t) = 8 sin(t). The initial…

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Q: .) Find the limit or show that it does not exist. lim √25t²+2-5t 1-x

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Q: 5 n=1 (n-1)! (n + 2)!

A: We can say that if sum of the series is finite then the series is converge.

Q: Question 4 (a) Solve the following: 4x¹dx (b) Explain with the aid of a sketch how this value can be…

A: we have to find the value of integral ∫-22 4x4  dx

Q: 2y V. Consider the lines : x + 1 5 = = 2z - 6 and m: x = −1+10t, y = 7t, z = 2 + t. 7 1. Determine…

A: As per our guidelines we can answer only one question so kindly repost the remaining questions…

Q: Calculate the value of the following limits algebraically, (if they exist): 2x²-3x-9 a) lim x-3 x-3…

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Q: State, with explanation, the truth value of the following statements. x²-x-2 a) x = 2 is a vertical…

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Q: 4.1 Evaluate the integral [3√x √(3√x - 1 / +5 4 + x² expressions after applying the integration…

A: We have to evaluate the integral

Q: 1. Given vectors u = 21-4ĵ- 3k and = (3,-1,2) and points A(3, -4, 2) and B(6, 3, -2), find if…

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Q: Question 5 limx→→+∞ (1 + ¹)² O ll SO III OIV O Not Indeterminate

A: Please mention also what the first four options wants to represent here ...as correct answer is e .

Q: bn gn-4+5 10n

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Q: Find a plane containing the point (-3,-3,5) and the line x(t) y(t) z(t) = = 8 + 4t -4-6t -7-3t

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Q: A cylinder shaped can needs to be constructed to hold 200 cubic centimeters of soup. The material…

A: Given problem:- A cylinder shaped can needs to be constructed to hold 200 cubic centimeters of soup.…

Q: | 1) 2Ln(√x + 3) + 2Ln(√x − 1) = Ln(6x - 7) 2)3x+2 = 27

A: This question is related to solution of equations, we will solve it using given information.

Q: TC Find the area of the region bounded by y = cos x, y = 1, and x = =

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Q: Describe the type of discontinuity at x = -1, explain your answer. Use the definition of continuity…

A: a. Type of Discontinuity: Removable Discontinuity

Q: 2x³ − 45x² + 300x + 6 has one The function f(x) = 2x³ local minimum and one local maximum. This…

A: Given: Axis interception points of 2x3-45x2+300x+6:  X Intercepts: -0.01994…, 0, Y Intercepts: 0,…

Q: 6 sinh t 6 cosh 51 Option 2 O Option 3 * What is inverse Laplace for 6s s² +25 6 sint 6 cos 5t…

A: In this question, we need to find the inverse Laplace of given function.

Q: (2x-1)dx 2x³-x²-27x + 30

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Q: 1. a) Find all the values of (2 – 3i)¹ ) ¹/3 - b) Write the function f(z) = −3i e-²i in the form of…

A: Concept: Complex number in polar form: Complex numbers are represented in polar form because of the…

Q: f arctan y dy 3 ¥

A: Given problem:- ∫arctan(y)/y3 dy

Q: 4. A solid consists of a right-circular cylinder and a hemisphere on each end. The length of the…

A: where r= radius and h= heightVolume of a right circular cylinder cylinder is πr2h. Volume of a…

Q: Consider the following. [u-5(6 - u³ +4²0) du Simplify the integrand by distributing u¯5 to each…

A: We know that integration power rule is given as - Integration of xn is xn+1/n+1 +C ; here C is…

Q: 2. The 2 vectors 4â + 3b and â - 2b are perpendicular. Find the angle between â and b if they are…

A: Given :two vectors :4a^+3b^a^-2b^they are perpendicular

Q: 2. A certain plutonium isotope decays at a rate proportional to the amount present. Approximately…

A: Let  at time t the amount of plutonium is  A(t)

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Q: Assume that the number of bacteria R(t) (in millions) present in a certain culture at time t (in…

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