The expression E ( (?) -Σ- () is equivalent to O n²-n 3 3 6.

Q: 8. Find the first four terms of (2a - 1)¹0. What is the coefficient of a³?

A:

Q: (1) Evaluate r (2.3)

A: Gamma function is defined by: (1) Γ(a)=∫0∞ta−1e−tdt,Re(a)>0(2) Γ(a)=Γ(a+1)a,…

Q: 7. Given that , -f() = 15, which of the following must be true? O-35, f (P) dp = 15 O-3 f (p) dp =…

A:

Q: (-i)a is e(1+4n)i wheren is an integer. where n is an integer. O equal to the above O equal to the…

A: Any complex number, z can be written in the form of  z=reiθ . The complex number i can be written as…

Q: The evaluation of SiS 3y e*ydxdy is

A: The solution is given as

Q: +6n +3 is Θ (n)

A: 1st expression is TRUE

Q: 3. Write the first 3 terms for, t == 3(2) n+1

A:

Q: 3. Evaluate the expression 4(x+8) for x=6 O 14 O32 O48 O 56

A: To evaluate the expression

Q: [1 2 3] ii) Let A = 4 5 6 and B = 5 L78 5] L3 of C32? [-5-5 71 [C11 C12 C13 - 2 4. Suppose BA = |C21…

A: First we state the general formula for multiplication of two matrices and then solve this particular…

Q: Which of the following expressions represents 6 6 6 6  in exponential form? (6.EE.1) 6 6 6 6 6 + 6 +…

A: We have to express the given number in exponential form.

Q: 00 8tan-in Zn=1 n3D1 1+n2

A:

Q: 10 = 10(х — 9) X

A: Solve using basic algebric operation.

Q: L(3+e2i) 2:

A: L(3+e2t)2 opening square we have , L{9+6e2t+e4t}

Q: 00 (2n +1)" n2n n=1

A:

Q: Express the expression 5.x² * in into Sigma notation.

A: The binomial expansion:a+bn can be expressed in Sigma notation as: a+bn=∑r=0nnr an-rbr.

Q: on the 4th implication where does the exponents of the i goes please elaborate

A: To find the rectangular form.

Q: Evaluate each of the following for x = 5, 7, 9 and 2. ∑x2 ∑x2 – 5  ∑(x2−5) 2∑x2- 5  2(∑x2- 5) 2)

A: Given:   X = 5, 7, 9, and 2.

Q: Evaluate [R(5xy + z²)dV, where B = [-10, 10] × [0, 1] × [0, 10]

A:

Q: 16 = ? %3D

A: Given 16

Q: Show that n*-n3.5+300n + 234n²log n³ + nVn10 e 0(n*)

A:

Q: HA-[-2]. If = O A-¹ O A-¹ = O A-¹ = O A-¹, 24 = find A-¹. 3 = 6 -4] [4-2] 6 -5]

A:

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: (a). (n+2)! n! (b). 12C4

A:

Q: Evaluate the following * 5 Sa 4x - 1 In(4x - 1) 4 O II -dx + C 5ln(4x - 1) 4 + C 5ln(4x − 1) + C 4…

A:

Q: Show that the following identities hold.

A: The two given identities are…

Q: Which expression is equal to E (2" + n²) k-1 n=2 O (2" + n?) +D ¬k-2 (2" + n2) n3D2 nk-2 O (2*-1 +…

A:

Q: Simplify 17. (n+ild (n-1)! 18. (3n+1)! (an)!

A: For expression 17:(n+1)⋅n For expression 18:3n+1Explanation:For expression 17:(n−1)!(n+1)!​We can…

Q: i=n (5 + у;) (х; — 2) Зп + 2 i=1

A:

Q: 1. What is the value of 4x +x' when x- 16?

A:

Q: In(5) S xed. Evaluate

A: Here we have to evaluate given integral.

Q: 3 - 4 fX = the value of X" is - 1 %3D

A: We have to find the value of X^n

Q: 13D 43. If a > 1 and b < 0, then 1-101 (A) (B) 1 9 (a) (D) b(a+1) (E)

A:

Q: dy 7 +10y=0 is The CF of the d? dx O a. None of these O b. C.F. = (c +c,x)e* -3.x O c. CF=e2x + esx…

A:

Q: If y-<, which of the following could be a value of y? (A) -11 (B)-11 C) 12 11 D) E) 11 22 098.12

A: given inequality

Q: 2. Completely simplify O(+1), x4, x-4 3(x+4) 2(x-4) O4, x4, x-4 2(x+4) 3 O4), x4, x 2(x-4) −4 3…

A: To simplify the given rational expression

Q: Which of the following expressions is represented Σ (-1)* (3k - 2)? k=2 A. 4.7 10.13.16 . B. 47+…

A: Step 1: Substitute the given k values from 2 to 6 (we know the values of k from the values above and…

Q: -5y + 8 = -7 -3 -1/5 C. 1/5 O e Answer not given O O O O O

A: Given: -5y+8=-7 For finding solution of given equation, we do transportation then simplify it

Q: 7x+y=2 -6 -4 -₂ + q 2 6 x X X

A: As we know that; The intercept form of the equation of the line: xa+yb=1 Where, x-intercept:…

Q: 22. The expression (x-10)(x*) is equivalent to x". What is the value of n?

A:

Q: 1 25. L-I s + 5s

A: Note : " As per our guidelines we will solve only first question . If you want any specific question…