Integrate the following: xdx 1. S x²-x+1 xdx 2. S V9x4-1 dx 3. S XVx-1

Q: Problem 2: Choose Group 4 show complete solutions based from second pic.:)))

A: Please see the below picture for detailed solution. 

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A: Indefinite integral

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A: Please see the below picture for detailed solution. 

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A: Topic:- integration by substitution   

Q: Evaluate

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A: The integration of the integral is xsec(2x)tan(2x).

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A: Topic:- differential equations

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A: This question can be solved by applying the concept of rate of change of physical quantities.

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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 ...

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A: Here we have to find values of  K,n from the integral after U substitution as shown below

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A: The given quantity is  sin(2π-x)

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A: Solution: Let A=24-17 The eigenvalues of A are the roots of the characteristic equation A-RI=0

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A: The given sequence is 17ln(n)nn=1+∞. We have to check whether the sequence is converges or not. A re...

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Q: the

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Q: %3D h that x+3y =16. |=

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Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about a = x0 and then find the nth Taylo...

A: The formula for the Taylor polynomial of degree n is: pn(x)=f(x0)+f'(x0)1!(x-x0)+f''(x0)2!(x-x0)2+.....

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

Q: 3. Find and and y= ivative of

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Q: 1.(Easy) In determining the integrating factor exp(S p(x) dx) for the first-order linear ODE y' + p(...

A: Given,            In determining the integrating factor exp∫pxdx for the first-order linear ODE.    ...

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Q: Verify the inverse function theorem of function f(x) = 3x – 2. -

A: We have to fi nd the inverse function

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Q: Which of the following sets are equal? A = {x e R|-2sxs2} B = {x e Z|-2sx< 2} C= {x e Z*|-2 < xS 2} ...

A: So set C and D are equal. 

Q: Uつ40+OLU 1ontい し いun 人 の-メS1-Xメーメを interval 3. 3. poutnd to factor p) いUtas0 -use the test -Point me...

A: Let's find.

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: Score Grade/Section: Date 13. What is the solution of the inequality? A. x > -1 or x 1 or x -2

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Q: (a) List all possible rational zeros of P. (b) Find the complete factorization of P. (c) Find the ze...

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Q: 1. The sum of two positive number is 42. What are these numbers if their product is a maximum?

A: As per our guidelines we can help you in solving only first question. Rest of the problems, you have...

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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: Evaluate the following iterated integral. 1- y² (x² + y²)° dx dy 1 0.

A: double integration changing into polar form

Q: A. Find the following limits: 2t2+3t+1 iii. lim 2t-1

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Q: Given the table of values below, find h' (0) if h(x) = f(x) \ 2 g(x) f(x) f'(x) g(x) g'(x) -2 -3 1 -...

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Q: please do both

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Q: In?(x) 25 log (x)

A: To find:-

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

A: We will check at each point of interval to determine the continuity or discontinuity.