Can you prove that, for any natu e z = (ex) = ? Start with ex- nx =en the last step comes from a number n Hint: positive. Suppose s = m. is any rational

Q: Which of the following statement is true in ZZ? O O O (0=1+x)^AXE (0=A+X)^EXA (0=1+x)^AXA None of…

A: We want to find true statement.

Q: 2. Let x1x₂ >. (1+x₁) n . xn> 0 ben real num 1 + x₁ + x1x2 + .. + x1xz

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Q: Compute • d da - [In(1+x)²].

A: NOTE: Refresh your page if you can't see any equations. . use the log rule

Q: Let A = -7 -7 08 Find - 3A. -3A =

A:

Q: Show that if x > 0 and |x² – 9| < 2, then |x - 3| < 1.

A:

Q: | In(vE + 5)dt

A: Given: I=∫lnt+5dt  ……1

Q: need to find the formula

A:

Q: 6x 3x 5y 2. 5y 6x-4 3. + 3r+8 1ly 11y

A: Given that: 6x5y-3x5y To solve, Apply  rule:  ac±bc=a±bc6x5y-3x5y=6x-3x5y=3x5y

Q: Prove an+1 = (an2+ 1) / 2 with a1 = 2 is monotonic increasing.

A: Solution:-

Q: If -5n-2, then f(3) is 04 O 55

A:

Q: 5x+h over 5x+h+3 minus 5x over 5x+3, all over h. This is a difference quotient problem in…

A: LCD of the numerator is (5x+5h+3)(5x+3).We make both denominators same then subtract the rational…

Q: Using the Root Test 12. (in (² + 4))***

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Q: Evaluate by Residue Theorem 4 food, (a > 0)

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Q: Show the following for [im 11x|lp = 11x11.00 P-0 XER

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Q: 1 f X~ N(0,0²), then X² ~G (¹2¹2) Prove this statement

A: Given  X~N(0, σ2)

Q: 4. Prove that (2x+3y)(4x²−6xy+9y²)+(2x−3y)(4x²+6xy+9y²) is 16x³ equivalent to 1 for x = 0.

A:

Q: 1 0 A= 0 0 0 -1 3 2 1 7 3 1 1 -1 0 -600 3OTSO 0 1 0 2 1 B= 3/2 6 1 -1/2 3 5 -2 2 1 -6 4 1 1 0 3/8 3…

A:

Q: if f(x) = 2+2x - 4x sqaured find f prime of 5

A: The objective of this question is to find the derivative of the function f(x) = 2 + 2x - 4x^2 at the…

Q: Show that Q[x]/⟨x 2 − 2⟩ ≅ Q[x]/⟨x 2 + 4x + 2⟩.

A:

Q: 3) ATB, f) BTA. ΤΑ.

A: We have used the basic multiplication rules of matrices.

Q: using this xp')-p(W)- lpcad wshow that recursion relation

A: To Determine :-  Using this recursion relation : x pl' x - pl-1' x = l pl x  show that  ∫-11 Pl x Pm…

Q: Find all the values of z for which 1+z 1 1 1 1 1+z 1 1 1 1 1+z 1 1 1 1 1+z <= 0.

A:

Q: Which of the following is true? Select one: a. (n+1)= n(n) for any real number b. г(n) = n(n+1) for…

A: The objective of the question is to determine which of the given mathematical statements is true.

Q: n is odd, then the greatest value of" C, (0<r<n) is "C or, "C,-1 n+1

A: Apply formula of combination and compare

Q: Find residue 1 Res₂=0 24 +4% 2 Res 2 = 1 ze 3 2³-1 of

A:

Q: Use substitution method to prove step-by-step that (P^Q)^(P = ¬(Q^R))^(S = R) = –¬S.

A: We are asked to prove the following using the substitution method, P∧Q∧P⇒~Q∧R∧S⇒R⇒~S We will show…

Q: 2""(-1)" +1 2. Prove that 1-2+2² – 2³ +...+(-1)" 2" =- for all positive integers n.

A: We prove this result by using mathematical induction. For answer please look at step 2.