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

Q: Let f be a function defined by f (x) : S4 – x?, x + -3 1. Evaluate l1, x = -3 а. ズ→ー3+ lim f(x) b. l...

A: To find out the limits.

Q: Fill in the table with the correct information by referring to the function f below. The table conta...

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Q: y' = xy+3x-y-3 xy-2x+4y-8

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Q: Fill in the table with the correct information by referring to the function f below. The table conta...

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Q: C_C* UI о

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Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the s...

A: find volume rotationg about x-axis

Q: Assume that C(x) is in dollars and x is the number of units produced and sold. For the total-cost fu...

A: topic - functions and  derivatives

Q: .15 S sin²4y cos>4ydy

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Q: Evaluate r3+3r2+3r+1 lim f. lim a. r--1 r+1 X+o x+1 e+x? 1-cos? 2x b. lim X-4 -3x+4x2 g. lim- 3x 15x...

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Q: e 4x =dx Ve4x – e

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Q: 3. A particle is moving with the given data. Find the position of the particle. a(t) = 3 cos t-2 sin...

A: Topic:- application of integration Note:- as per our guideline if more than one question uploaded th...

Q: e3x dX be given. If U= e* + 1, then the resulting integral is J f(u) du. compute f(5). ex + 1 Let 3 ...

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Q: Determine the sum of the following series. NOTE: Enter the exact, simplified answer as improper frac...

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Q: dx = 5x - 3y dt dy - 2x - 14y dt It is converted into the matrix (we will talk about this in lesson ...

A: Let's find.

Q: Renirite ecc of the fo1lawing buuting ఆUng (A10garithm oto singu algebraic quantity) - Inca) -'/3 In...

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Q: 25łn²(x) log (x) dx

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Q: Express the repeating decimal as a fraction. 0.904818181818... 0.904818181818... %3D

A: The given expression is 0.904818181818....

Q: (a) / Зх — 2 d.x x +1 -

A: We can evaluate the following integral as follows 

Q: みm 'cU24onba buimoll ut anos Give answers occurate to o tu100yら19 SONe the foilowing tigures 6.8= .3...

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Q: Find the derivative of the function y = cot^-1 x^2– cos^-1 (x + 1/x – 2). %3D

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Q: A graph of a function f is given in the margin. (a) Find the local minimum and maximum values of f a...

A: Given graph:-     To find:-   (a) Find the local minimum and maximum values of f and the values of ...

Q: II. find an explicit solution of the given initial value problem using separation of variables. 5. x...

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Q: Car 1 is heading due south from Math-town at a rate of 40 miles per hour. Car 2 is heading due west ...

A: topic - application of derivatives

Q: 5. The sum of the first 12 terms of an arithmetic series is 186, and the 20th term is 83. What is th...

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Q: Given the matrix -4 -4 2 Introduce the "- R"term to the diagonal of the matrix then find the quadrat...

A: Please see the below picture for detailed solution. 

Q: dx The integral du where u= f(x) and for some constant, k. Compute f(2). reduces to ex + 1 A е -1 e ...

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Q: 1 dx x² – 1 C3 5. . J2

A: Since we are given with the multiple number of question and our guideline is solve first question on...

Q: A B Determinant of C D = AD - CB Given the matrix -3 9. Find the Determinant of this matrix. 4 -3 (A...

A: This question can be solved by applying the formula given in problem.

Q: F(x) = (-1)". n3n n=1

A: Given series ∑n=1∞(-1)nxnn3n

Q: Q2) A) Graph the curve Y = x (x +5)(x-3) between the value of x [-5, 3], then find the area of the f...

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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: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous. -...

A: ln(a/b) = lna - lnb

Q: Use the formula for the binomial series: m(m-1).(m-k+1). k! m(m-1) (1+ x)" 1 + mx + 22 + ... + %3D 2...

A: We have to obtain the Maclaurin series for 1+x5

Q: Find the radius of convergence and the interval of convergence. Σ k + 10 k=0 Radius of convergence: ...

A: Given problem:-

Q: F(n) Σ-1)", n3n n=1

A: Question- Determine the radius of convergence of the power series

Q: Find the Taylor polynomials of orders n= 0, 1,2, 3 , and 4 about =20 and then find the nth Taylor po...

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Q: 1) exist. Show your work and carefully explain your reasoning in complete Find the limit of the foll...

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Q: Let y = f (x) be a function with domain all real numbers. It is known that f ′′(x) = 1 + x(x cos(x) ...

A: Given that x=0 is a critical number for the function f(x)

Q: cos 2X 80 dx csc (x) sec (X) CSC

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

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Q: Solve the given initial-value problem. dx - 3у?, х(6) %3D1 y X = dy x(y) = Give the largest interval...

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Q: Use the formula for the binomial series: m(m-1)---(m-k+1),k + .. + m(m-1) (1 + x)" = 1+ mx + 2! ... ...

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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 Pala) =...

A: Given,            fx=lnx , n=4 , c=4To find : The nth Taylor polynomial for the function at n=4, cen...

Q: Use the limit comparison test to determine whether the series converges Σ 7k + 5 k=1 The series

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Q: Problem 2: A piece of string whose length is given below is cut into two pieces. One piece is used t...

A: r = radius of circle a = length of each side of equilateral triangle  

Q: Test the continuity of the function f(x): 3 – x X +1 2< x <3 3 < X < 4 X = 4 F(x) = 2х — 1

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Q: 1. Which of the following is not true about function? a. Function is composed of two quantities wher...

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

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Q: Evaluate using wallis formula and text/upload your solution on the space provided. 1.) sin'xcos'x dx...

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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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