1. Find the domain of the following functions: х? - 3х-10 а. у- х-5 х+5 b. y=- Vx - 5

Q: dx The integral can be re-written as. VI- A lim (-2+ V1- m) m-- 00 B none of the choices lim (2-2 V1...

A: ∫-∞0 dx1-x  

Q: ,3x S- -dx be given. If 4=e*+2. then the resulting integral is Jf(u) du. compute f (3). e +2 Let

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Q: Find dy/dx 1. y = x^2(sin^−1 x)^3 2. y = e^tanh x/x^2 − sechx 3. y = tan^−1 (sechx) + sech(tan^−1...

A: We expert are following guidelines.We are supposed to do first question. We have to find dy/dx  

Q: x + px+6, x22 (b) Functions f(x)={ x-2, x<2 (4– 2x, x22 and g(x)={ are 9-x, x<2 continuous at x= 2. ...

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Q: 1g graph, clearly showinng any pointS where the graph crosses the nate axes: + 7x + 10r

A: We will draw the graph. 

Q: The curve C with equation y = f(x) passes through the point (1, -3). Given the following, find f(x) ...

A: We know, ∫xndx= x(n+1)/(n+1)

Q: (a) With the use of a suitable limit, find the first differential of Vr² +b² with respect to r i.e. ...

A: topic - derivative using first principle

Q: Solve the equations: 8х - 2у - 13 -2x +5y- 8.

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Q: 8 プ+5

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Q: 2) An agriculturist wanted to plant seven different organic crops in a small field. To properly stud...

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Q: Determine whether the given series converges or diverges n2 Σ 2n In n n=1

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Q: Find the limit by rewriting the fraction first. ху — у — Зх + 3 lim х - 1 (x,y)>(1,4) x+1 ху — у — 3...

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Q: following: (a) y = \f(x)| (b) y = f (x) (c) y = JF(x). f(x) y = 2 3

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Q: (d) The function k(x)is defined as follow: 3 x+ 17 -- 4 k(x) = { 2, x =1 5|x-1| x² -1 x>1 Discuss th...

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Q: Given 2 cot- (esc) if – 3 3. a. Determine if f is continuous or discontinuous at r = 0 and at r = 3...

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Q: What is f'(x) given the integral function f(x) = cos(e“)d u? %3D O rm = 3x cos(e) O f'(x) = 3x cos O...

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

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Q: Sow) du. #glu)- u+1 Using u-substitution, the integral reduces to a new integral evaluate the new in...

A: Topic:- integration

Q: 8. What is de x2+1

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Q: an+1 to determine if the sequence {ne" } is strictly increasing or strictly decreasing. an Use the r...

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Q: + oo Consider the improper integral dx . What will be an appropriate solution and answer? x2+ 2x+ 2 ...

A: We have to find solution of improper integral.

Q: Determine whether the series converges. k=1

A: We use limit test to find convergence or divergence of given series. Follow 2nd step.

Q: dx Given: 7-ge-2x. Using u-substitution and transforming the integrand, find du. A 18e-2xdx B - 18e-...

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Q: 2) Which of the following sequences are summable. If the sequence is geometric, find the sum: a) a; ...

A: a) a1= 5/4 a2= 25/16 a3= 125/64 b) a1= 11/6 a2= 15/11 a3= 19/16  

Q: 2) y'+2xy = 0

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Q: f(x) =(x^2/3 − 1)^2 -Take note that the 2/3 is the exponent of x (c.) the intervals on which f is ...

A: Given problem:- f(x) =(x2/3 − 1)2   (c.) the intervals on which f is increasing or decreasing (d.) t...

Q: The diagram below shows points P, Q and R. The coordinates of the points are given by P (2), Q(5, 6)...

A: Distance between the points P(x1,y1) and Q(x2,y2) , D = (x2-x1)2+(y2-y1)2 .

Q: u+1 Using u-substitution, the integral Jf(x)dx reduces to a new integral g(u) du. If g(u) = , evalua...

A: We have to find value of f(x)

Q: Find the nth Maclaurin polynomial for the function. f(x) = e¯X, n = 5 Ps(x) = %3D MastarIt

A: Given

Q: an+1 Jse the ratio to determine if the sequence {ne} is strictly increasing or strictly decreasing. ...

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Q: Prove that the function z is continuo:as everywhere but nowhere differentiable except at origin.

A: The given problem is solved below in detail.

Q: 5. Find the centroid of the solid formed by revolving the area between the curves: y? = x and y = 2 ...

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Q: is the sequence divergent convergent? {vñ - v n +1}

A: Topic:- sequence and series

Q: 2. (a) Prove the following inequality n(n- 1) ,2, 120 (1+ 1)" 2 1+ nz + 2 for any n 2 1. (b) Show th...

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Q: Use the binomial series to find the Maclaurin series for the function. f(x) =  1 (1 + x)3

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Q: Given: JV5x² - 3 xdx. If we let u= 5x - 3, which of the following u-substitution formula is applicab...

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Q: Write the given series: 2+4+6+8+10 in sigma notation.

A: Given problem:- Write the given series: 2+4+6+8+10 in sigma notation.

Q: Watch the video on partial fractions with a repeated irreducible quadratic factor e and thevideo on ...

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Q: 9 10 handwritten

A: We have to find the derivative of the given function using the rule of derivative  

Q: 2.

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

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Q: Let (x) = x In x and P4(x) be the fourth-degree Taylor polynomial for f about x = 1. Using the defin...

A: Find the fourth degree Taylor polynomial for f about  x=1 then find maximum error in approximating f...

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

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Q: ergence and the interval of convergence. Test for Absolute Convergence to the given series. The

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Q: 4. Find the area enclosed by the curve: x=t2 – 2t, y= vt and the y-axis

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Q: II. Determine the derivative of the ff. logarithmic functions 4. y = 8 log , 7x² 5. y = - 5 log , (1...

A: As per our guideline we solve only first three parts

Q: The following diagram shows a sketch of a curve with equation y = f(x). The points A(-3, 0), B(0, 0)...

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Q: Do the following: (a) Construct the table of values; (b) graph the function; and (c) find the indica...

A: Since you have posted multiple questions in this question which are not interlinked so I have solved...

Q: (c) The function f(x) is defined in the interval [-1,6] by 3-x, -1<x<2 f(x) ={ x -a, 2<x<b |(x-9)²-4...

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