1. Let S = {z E C| 26 = 1}. (a) For each element w in S, find def. < w > {w°, w*, w², w³, . } and then | < w > |. (b) Find the primitive elements of S.

Q: -1) nt2 3.

A: To evaluate:    Rewrite the given form in simplified form:

Q: 114 19

A:

Q: 4) 45

A: The length of the side AB=32 units. An angle m∠A=45∘ The objective is to find the value of 'x'.

Q: 7. Let ƒ(x) = 4x − 3, g(x) = x² + 4, h(x) = x + 5. Evaluate the following.

A: Given f(x) = 4x - 3 g( x ) = x2 + 4 h( x ) = x + 5

Q: 4 6 Find 5 a ) da + C

A: Here we have to find,  I=∫-x3-4x+6x5-5xdx

Q: ५हीकटिकप्रेट %3D (ट+ प्ढ़ी-धा

A: Solution  Given13 - (2n+2) = 2(n+2) + 3n=&gt; 13 - 2n - 2 = 2n + 4 +3n

Q: 1 d 2n=1 =1n+n ur

A: Here we have to calculate:- ∑n=1∞1n2+n=∑n=1∞1nn+1

Q: Cx-3) Gょ2)tG3)

A:

Q: 2. ar'+b) 2.

A:

Q: あ。(12イ45 bt-ef e

A: 2x+53ax-53

Q: Need help with (D)

A: Enter the data in Excel.

Q: 5 7n +9 9) 9.

A:

Q: 18) 2x y

A:

Q: If (n, 15) = 1 and o(n) = 56, find o (75n).

A: Given: n, 15=1 and σn=56.To find: σ75n

Q: dz Evaluate J 5z+2

A: Given: I=∫dxe-5x+2 For evaluating given integral, in given integral we substitute e5x=t…

Q: 213 dx 4+x² ,2

A: We will use substitution to solve the integral

Q: lim (Vx2 +2x-x) ズ→

A:

Q: (e) (2² +9)7/2

A: Topic:- Integration

Q: I (n Ps)= 48 3 (nC4)

A: Solution

Q: 8. (oc-6)3

A:

Q: 5 + 4x + 3 ) dx Find x4 + C

A: ∫(4x+5x4+3)dxApply linearity:4∫x dx+5∫1x4dx+3∫1 dx

Q: (e) ap: (2² – 8)5

A:

Q: 6. (2m²n)* 1 Show Your Work

A:

Q: ind AxB for A = {1,2} and B = {r,s, t} %3D

A:

Q: 4813 13

A:

Q: 32r+3 = 34)

A: Given- 32x+3=3x2 To find- The value of the variable x.

Q: Find the perimeter C(4, 4) (-3, 0) A (1, 4)

A: Graph of the triangle A(-3,0), B(1,-4), C(4,4) are given. we have to find its perimeter

Q: 8 n (-2) n 3231 7zZ

A:

Q: · 3 6) a+5 2 a-5

A: It Is given that ;3a+5=2a-5

Q: Without expanding, show that

A: By using properties of determinant we have to show that: 1ab+c1ba+c1ca+b=0 Applying C2→C2+C3 in LHS…

Q: x2 - 2x+5

A: here we will evaluate given intigral,

Q: (-13)+(-3=)

A:

Q: Consider the following. y 10r (4, 9) 8 (0,7)

A: (a). Obtain the least squares equation: Given data represents the graph for the dependent variable…

Q: (d) 2.46 (е) —0.10

A: Answer- Given null and alternative hypothesis                H0 : μ = 5                H1 : μ &gt; 5…

Q: 3x 14)

A:

Q: Find the value of n(A U B) if n(A) = 8, n(B) = 13 and n(A n B) = 6. n(AUB) (Type a whole number.) =

A: