=t₁S = {3 +; = {3+1 ²+/2 = ne ¡:neN}. Prove that sup (S) = 4.

Q: Find LOVE LOVE 0 0 [Trysin(x² + y²) dady

A:

Q: value of ∑n=1∞(6an+9bn) if ∑n=1∞an=8 and ∑n=1∞bn=2.

A:

Q: Show that P(n, 1) + P(n, 2) = (22) – 2 (2), for integers n ≥ 2.

A:

Q: 2. Prove that if a, b e R, then (a) -(a + b) = (-a) +(-b), (c) 1/(-a) = –(1/a), (b) (-a)·(-b) = a ·…

A:

Q: is o(x). Hint: Use ling divisim

A: Let consider  fx=x4+x2+1x3+1 To show that f(x) is O(x).

Q: .(1) t is straightforward to show that y = k-1 is a solution to the homog quation

A: Given,                yk+2 -2k+1kyk+1+ kk-1yk=0         (3.151)and       yk+2 -2k+1kyk+1+…

Q: f6) = 5-31 5+3x Q11. Let %3D

A: Given: To Find:

Q: ® Investigate the conurgence of 3. Convergence 2.

A: The given expression is ∑n=1∞n!2en2. We have to find whether the given series is convergent or…

Q: Write a in the form a=a+T+aNN at the given value of t without finding T and N. 4 r(t) = (41²) ₁ +…

A:

Q: verify that (A + B)C = AC + BC

A: To verify that (A+B) C = AC + BC.

Q: 2. How do you prove a statement of the form ( 3x, P(x) )? Provide examples.

A: To prove a statement of the form (∃x P(x) ), we need to find an example value x such that P(x) is…

Q: Let A be a randomly selected number from the interval (-5,4). What is the probability that the…

A: We can solve this problem by finding the values of A that will result in the quadratic equation…

Q: Prove that (+¹)=()+(²1).

A: