a) sin x cos x tan x -1-sin² x

Q: Compute the following. 4! 6! ]*

A: Answer - First we need to understand what is factorial before solving this question  n!…

Q: 3. Prove each identity below by counting a set in two ways (without manipulating the formulae). 2n =…

A:

Q: 8. Prove the identity: er+1 1 n+1 -

A: We will use the formula of Binomial expansion and some algebraic calculation to prove the identity.

Q: 11ab 19 The operation "*" is defined on by a+b=- for all a,be R. Which of the following is true…

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Q: The operation "*" is defined on by 11ab a*b = for all a,be R. Which of the 19 following is true…

A:

Q: 1. Which of the following algebraic properties was applied to the expression a + (b + c) = (a + b) +…

A: Associative property can be defined as; (x+y)+z=x+(y+z)

Q: [x 1] = 0 Given 2 . Find x? O -1 or 3 O 1 or -3 O None of these O -1 or -3 O 1 or 3

A: Remark: We know that, Matrix multiplication is associative. Although it's not commutative, it is…

Q: The operation "*" is defined on by 11ab a*b = for all a,be R. Which of the 19 following is true…

A:

Q: 5. Prove the following identity for n 2 1: Fzn+1 = F+1+ F;

A: We need to prove that ,  F2n + 1 = F2n+1 + F2n We know that ,   Fm+n = FmFn+1 + Fm-1Fn ,  m ≥ 1 , n…

Q: Define the binary operator # by: a#b = the smaller value of a or b.; Find each of the following: a.…

A: Here , a#b is defined as smaller value of a or b

Q: Р C = - = {₁²₁² +² -| 5 ≤ p ≤ 6 and − 1 ≤ q ≤ 1, p, q € N +1

A: Given: C=pq2+1 | 5≤p≤6 and -1≤q≤1, p,q∈ℕ we have to find the elements in the set C

Q: Prove the identity; verl 2n 2n 2n (264+1)=(2²+1) + 2(2²)+(2²1) n sen of eliges lls ew zeitluciflib…

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Q: 2 If A=| then A-1 is a. 1/2 1/2 b.[ 1/2 [1/2 1/2 C. none d. 1 [1/2 1/2

A: option "c " i.e. none is correct answer.

Q: If W​ = {0,1,2,3,...}, L={x | x =2n+1, n ∈ W}​, M={x | x =2n, n ∈ W}​, and N​ = {1,2,3,...}, find…

A: Given  W​ = {0,1,2,3,...}, L={x | x =2n+1, n ∈ W}​, M={x | x =2n, n ∈ W}​, and N​ = {1,2,3,...}

Q: Convert each of the following to standard form.   a. 3.33•10 to the -5th power b. 3.33.3•10 to the…

A: Positive exponent shifts the decimal to right and negative exponent shifts the decimal to left.

Q: For each of the FOllowing pairs OF numbers a and bi evaluate the ged (aib) and Find integers r and s…

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Q: If x is a lower bound for S in R, then x must be unique. a. True b. c. Never True Sometimes True

A: We want to find the given statement is true of false.

Q: In which of the following sets of numbers does each element have its inverse with respect to the…

A: Consider the given sets with usual multiplication.(a) , (b) , (c) , (d) , (e) .We need to identify…

Q: Determine whether or not each of the following statements is always TRUE; a is a specific fixed…

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Q: [1 0] A =La A 1 what is Ak ?

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Q: What is the use of Boolean identities?

A: Boolean algebra has a number of useful identities. Here an "identity" so called "rules" is a…

Q: Define the binary operator V by: a Vb = 4 Simplify each of the following. Do the order of operations…

A: Given

Q: Determine the value of k that satisfies the following identity (x is a variable). +k = In(x + ab?)…

A: Given equation is: lna+xb2+k=lnx+ab2 To evaluate value of k k=ln(x+ab2)-lna+xb2…

Q: 2. Derive the following binomial identity: (n + () --("-") = r

A: To derive the binomial identity; n+1rn+1=rr-1n We have to prove that the left hand side of the…

Q: Which of the following does not belong? O O A B D Ο Ε A 0 B с D

A: Let us find an image that does not belong to given arrangement.

Q: M N * LN = MO SS SAS AAS AONL E AONM ALON E AMON ALNO S AMON

A:

Q: 5z Let C: |z – i| = 3 and I = $ dz. Then z2 O I= 10rd O I= 4ti O I- 6rtl O None of these

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Q: If then |A|=1 O JA|=-1 O |Al=0 O

A: Follow next step

Q: The number of units in z3,(x] is O None 28 30 22

A:

Q: Write the following expressions in a more compact way (i.e., using index i, j as above). 1. C11 C2x2…

A: