Find the derivative of the function y = sin^-1 x/sqrt 1 + x^2 – tan^-1 x. %3D

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A: To Solve Logarithmic Functions To solve the logarithmic functions, it is important to use exponentia...

Q: Í sinh(1 - 4x) dx Answer:

A: In this question we have to find the Integration.

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A: In this question we have to solve the following question.

Q: The average home attendance per week at a Class AA baseball park varied according to the formula N(t...

A: N(t) =950(4+0.3t)12 Substitute t=2N(2) =950(4+0.3(2))12

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A: To find out the limits.

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Q: Question The derivative of the function y = cos(xln 3) log3(sin x) is:

A: We will find the derivative. 

Q: 2022x -dx J x2 + 6x + 18

A: Solution of given integration question is written in below steps.

Q: Find the derivative of the function. PLEASE HELP ME ANSWER WITH SOLUTIONS    SOL 6,7

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Q: The length () of rectangle is decreasing at the rate of 2 cm/sec while the width (w) is increasing a...

A: This question can be solved using rate of change of physical quantities.

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

A: Given: f(x)=e3x, c=0

Q: (a) f(x) = 1 – 1; I =[-2,2] (b) f(x) = I = (1,5)

A: We will find if the given function is continuous. 

Q: Find the indefinite integral. (Use C for the constant of integration.) cos 5 t dt COS V sin t

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Q: Find the nth Taylor polynomial for the function, centered at c. f(x) In(x), n = 4, c = 6 = 1 (x - 6)...

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Q: e 4x =dx e4x – e

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Q: S5e* dx 12 dx 2 x+5 S(2-3e*) dx

A: ∫ 5exdx

Q: Using appropriate substitution and taking a + 0, 3tan(ax) the integral S dx is equal to: cos² (ax)

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Q: 4.(Straightforward) Make the differential equation below exact by find- ing an integrating factor u....

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Q: By completing the square, dx the integral S is equal to: (x+5)Vx²+10x+21

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Q: Which of the following are geometric series? 3" n=0

A: A)∑n=0∞ n53n=0+13+2532+3533+....(No common ratio found)B)∑n=0∞ 5n5=50+51+525+535+....(No common rati...

Q: A student attempted to use L'Hopital's Rule as follows. Identify the student error, if any, or state...

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Q: Write the first five terms of the sequence: +o0 {Vn? + 7n – n}n 1 Determine whether the sequence con...

A: The given sequence is {√(n2+7n) -n}.

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Q: Find the nth Maclaurin polynomial for the function. 5x - 3 f(x) n = 4 x + 1 Pa(x) =

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Q: 4. Find the equation for the line tangent to a. y=x²- 3 x + 5 at the point (2, 3)

A: We will find tangent equation. 

Q: Graph the curve Y = - 2 x (x - 4)(x + 6)(x - 2) between the value of x [0, 4], then find the area of...

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Q: c) an (-1)" (4)" d) аn — 5 — п

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Q: (-1)"3na" n -5 V. Determine the interval of convergence of

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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: fourth-degree polynomial with integer coefficients that has zeros 3i and –1, wit -1 a zero of multip...

A: To find a fourth‐degree polynomial with integer coefficients that has zeros 3i and -1, -1 a zero of ...

Q: Evaluate using wallis formula: (4-x2)/2 dx and let x = 2sine 0.

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Q: Use sigma notation to write the Taylor series about x = 4 for the function. 1 x +1 k =

A: This question is based on Taylor series Sigma notation.

Q: Find the domain of a function of the form f (x) = va – x².

A: Given function:- f(x) =√(a-x2)  To find:- Domain of given function f(x) 

Q: Question 3 Determine whether or not each of the following sequences is (i) bounded, (ii) monotone, a...

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Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, c= 3 %3D P4(x) ...

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Q: Question * The derivative of the function y = x(tan¬1(3x))² is:

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Q: Question * Using integration by parts and taking a > 0, the integral S, x In(ax)dx is equal to:

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Q: sin x dx TT cos2 x + e cos x

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

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Q: 48. Use spherical coordinates to evaluate y'Vx +y +z dz dx dy

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Q: bicycle wheel has radius R. Let P be a point on the spoke of a wheel at a distance d from the center...

A: Find your answer below 

Q: 2х — 4 f(x) = n = 4 x + 1 P4(x) = Need Help? Read It

A: We will find the mclaurian polynomial. 

Q: dx 4.. V4x-x²

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: S sin²4y cos15, 4ydy

A: I have stated the used formulas in the solution

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Q: 11. Simplify the following function by rewriting it as one fraction. (Your final simplified result s...

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Q: 2. Form the differential equation from the circle passing through the origin having their centers on...

A: This question is based on forming differential equation by eliminating constant.