Given: B 2 30° V3 A AC = O1 O 1/2 O V3/2

Q: Use any method to determine whether the series converge. 1 (a) E k=1 k' + 12k + 1 This series conver...

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Q: Find dx2 Given: -2xy – 2y² = 1

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Q: y = Cax+) ?x5+3 (3メ+)% (4xx+)

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Q: 1 8. Find the value of p for which the series Lninn: (ln (In n))º is convergent. n=3

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Q: Evaluate the da xp: 1+z VE- Arctan()+C O b. 2/T+2Arctan(V)+C Va - 2 Arctan(ya) +C O d. 2 7-2Arctan(V...

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Q: Time A solid is formed with a base that is a triangle with vertices at (0,0), (3, 0) and (0, 1). Cro...

A:   y-10-1=x-03-0  y-1=-x3y=1-x3  

Q: If the solution to fe sec (ex**)dx is equal to k tan(e**) + C, find the exact value of k 1. 2e 2e (0...

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Q: Problem 4. Find all real zeros of P(x) = 3x-5x'-16x +7x+15 using the techniques we discussed in clas...

A: We solve this question with the help Rational root test.

Q: (2x² +)x ;dx (x8 + 4x5 + 4x²)² Using u-substitution and transformation of the integrand, then the po...

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Q: In a world where people's happiness is the product of the square of the amount of one's food which c...

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Q: Use the Limit Comparison Test to determine the convergence or divergence of the series. 00 1 + 1 n =...

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Q: Let A= [a, b c, d, e) and B=(a, b, c, d, e f g, h). Match the given sets in the left to the sets in ...

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Q: Solve the differential equation. 5y' = 4 ex/5 + y + y The solution is y = 4x +C X 5 5 e (Type an exp...

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Q: The integral dx reduces to f(x) and for some constant k. Compute f(1). where u %3D e*+1

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Q: landscaping

A: We will find a linear equation. 

Q: The function s(t) describes the motion of a particle along a line. s(t) = t³ - 8r² + 21t – 260 (a) F...

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Q: " + y = 12 cos 2x - sin x. A. " + y = sin 3x +4 cos x. A

A: Given: y''+y=12cos2x-sinx

Q: prove that tanx V secxsinxtanx

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Q: The integral reduces to Sk, where u = f(x) and for some constant k . Compute f(1). e*+1 e+1 A B e-1 ...

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Q: find the inverse of the function f(x)= 3^x/8+3^x f^-1(x)= b)what is the domain of the inverse func...

A: Given:       fx=3x8+3x

Q: Does the following set of order pairs represent a function? If so, does it represent a one-to-one fu...

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Q: 9=1-5t Gas. d= o ans

A: As per the guidelines when multiple question are posted in single pic  then we are supposed to solve...

Q: a lim 6. *a Jx- Ja -x

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Q: Convert the parametric equations of a curve into rectangular form. No sketch is necessary. x = Vt, y...

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Q: Explain why limit exists or does not exist. (z-2)(z-2) lim log1/3 \sin((2z+ 1)(z-2)) Z→+2

A: Solution is here 

Q: axis from t = 1 to t = 4. Find its Find the area enclosed by the following parametric curves and the...

A: Here we have to find out the area bounded by given parameters curves

Q: dy dæ 1< y < 2 0< x < cos x 2) SS 0 <x < 5 2 decimal places

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Q: т?+2m Consider dm. If we let u = m + 1, what will be the resulting integral as a function of u? m+1

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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: x2 - f(x) Let k(x) = %3D 2x- 3 Find k' (-1), given that

A: Given:-k(x)=x2·f(x)2x-3f(-1)=-2f'(-1)=3To find k'(-1)

Q: Given the the parametric curve S x(t) = est – 2t l y(t) - 8t sin t dy (a) Find an expression for dx ...

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Q: The integral / 2cos(2')dr takes the form & cosar du when =2 and/(x)=x-5 What is the value of (+2)? 2...

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Q: find the limit as x approaches 0. 12sin(3x)/1-cos(3x) = as x approaches 0

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Q: express the equation in logarithmic form  a) 9^-1=1/9 b) 3^-2=1/9 c) e^x=8 d) e^5=y

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Q: If f(16x*- 16x³ + 4x²)dx = F(x) + C, then F(x) %3D

A: Formula:∫ xn  dx  = xn+1n+1 + C   Integral:I=∫ (16x4-16x3+4x2) dxI=∫ 16x4 dx -∫16x3 dx +∫ 4x2 dxI=16...

Q: ly = In (sin (50)) find dy 14

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Q: y = (ax-1) (6x.+5]%3 find dy dx 10

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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...

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

A: Topic = function

Q: f(x.y) = / (x² - 16) (y² - 9) Find the domain of the function. Express the domain so that coefficien...

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Q: f(x) = 15- (3-t)(r - 8t + 7)

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Q: th th 1. The 6 term of an A.P. is -5 and the 10 term is -21. Find (i) the 8th term (ii) the sum of t...

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Q: dx The integral S ex+1 reduces to f k au, where u = f(x) and for some constant k . Compute f (1).

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Q: Prove that the given equation is a solution to the given DE: 1. %3D Gjезх + Сzе 2х + Сзе*; у" — бу" ...

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Q: colutions to 7sin 2 r tan z on [0, 27). 2 er in terms of n, as needed. Do not enter a decima enterin...

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Q: The integral / 2/ (*) cos(2*) dx takes the form k cosu du when u=2* and f (x) =x – 5. what is the va...

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Q: Find the indefinite integral. (Use C for the constant of integration.) 9. dx XV 81 - (In x)2 |

A: Here we will solve the given integral,

Q: What is the derivative of f(x) = 26 (12.1)* + 8 (0.56)* +1 ex with respect to x? f '(x) =

A: topic  -  derivative of exponential function

Q: 1 (ke)3x For ſ k*e3*dx = + C. If u = 3x, then k =? 3 (1–In 2-1)

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Q: Determine Functions Directions: Determine which relations represent a function and then drag each in...

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