Find the first three terms of the expansion (4 – 2x)°. a. 45(1+ 쪽+ +…) O b. 4(1- + O c. 2°(1+ % + + ..) d. 2°(1 – * + * + …) 5x2 5x 5x2 쪽 + ) 5x 5x2

Q: (3y+8)° (9x+1)° (X+19)° 7 ון

A: To find the values of x and y.

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Q: 20. What is the sum of all the exponents of the expansion of (8x-7y)¹2 a. 163 b. 150 c. 953 d. 156

A: Introduction: The binomial expansion theorem is very useful in expanding a binomial terms with…

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Q: Limzoo (√x² + 4x +1 − x) O a. 2 O b. none of these O c. -1 Od. -2 O e. 1

A: The objective of the question is evaluate the limit and choose the correct option.

Q: +x Find dx. A. 7x+127+0 343 +C B. 7x2+x+C C. x² (7x+ ½²x²) − (7+x) (³½³×³) x4 D. -7x+In/x+C E.…

A: Step 1:Step 2: Step 3: Step 4:

Q: (2* – 3.2**)()n – 2.5*-*) 7. Obtain the simplest value of 3n – 2.3- 3"-4 n+3 -

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Q: What is the coefficient of xy- (the third term) in the expansion of (2x + 3y)'? 6. O -18 O 18 O 54

A: We have to find the coefficient of xy2 in the expansion of 2x+3y3.

Q: Solve by Mathematical Incluction that all n2l.

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Q: (x²+1) 1/3 OD. D. (x+,x) oc. O C.1/3,3 OB. (x+x) OA. O A. 1/3, 10 x: X 0/3 1/3 Factor the given…

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Q: Subtract the binomials. On simplifying (-3y2 − 8) − (-5y2 + 1), we get y2 − .

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Q: In the expansion of ( 2x – 3y )4, find the sum of the coefficients of all the terms.

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Q: D. T= 18 W-1 3n² + 7n +5-3n gn+8+7n +7√√n 3

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Q: Evaluate. [5x-31 X dx

A: To evaluate the integration of (5x-3)/(x^2-x)

Q: Is f(x) = x0 DNE 17x + 1 a polynomial function? If it is, give its degree. (If expression is not a…

A: We use definitions of polynomial function and degree of the polynomial to answer the given question.

Q: Find the values of a and n

A: Step 1: Step 2: Step 3: Step 4:

Q: Find the coefficient of the term xy in the expansion of (2x3-y)5.

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Q: Find the coefficient of a?bi in the expansion of (2a - bj)^5

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Q: Which of the following is a false statement? In the expansion of (a +b) the coefficient of a b° is…

A: We have to choose the false statement.

Q: Find the 7th term of 2+ 2 Write the 5th term of (x + y)1º.

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Q: 5. Which of the following is (a) n! n=1 80 (b) n=1 (c) E T=D1 (d) -1)" (2n)! T1

A: We have to find out the power series

Q: Let u = (5, - 8), v = (1,5), and w= (2, - 4). Carry out the following computation. %3D Find Ju + v +…

A: Given,u=5, -8v=1,5w=2,-4

Q: Find: S x² √√x – 3 dx =? A. (x-3) - (x − 3) ²/7 = 2 − 3)² + 6(x − 3)² + c B. ² (x − 3) − § (x − 3) %…

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Q: 24 + * ? 8 What is the coefficient for the yl8 term in the expansion of (5x°y²

A: We use the Binomial Theorem to answer the given question.

Q: v1 = 0.7 vn = 3vn-1 - 0.3 a.  identify the formula as recursive or explicit b.  find the first…

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Q: d the third term o

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Q: What is the conjugate of 3- 2/5?

A: conjugate is where we change the sign in the middle of two terms . So ,conjugate is 3+2√5

Q: (A) I = and (B )I = . Find 2A D - BD O O O none of the above

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Q: Find the first three terms of the expansion (4 – 2x). 4°(1- 폴 + 쫄 +…) O b. 2°(1 + 꼭 + 플 + …) Oc…

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Q: The symmetric equations for the line passing through (-3,–4, -5) and parallel to the vector (1,7,–…

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Q: 6 - 2(3x + 5) + 7x

A: simplify 6-2(3x+5)+7x