Define a sequence of ordered pairs (x;, y;) as follows: (xo, Yo) = (3,1) %3D Xn+1 = 3xn + 4yn, n > 0 Yn+1 = 2xn + 3yn, n > 0 rove that for every n 2 0, (xn, Yn) satisfies the equation x2 – 2y2 = 7. %3D

Q: O Find f(-1) if f(0) = 2, f(1) = 9, f(2) = 28, f(3) = 65, f(4) = 126, f(5) = 217. %3D %3D %3D %3D

A: As per given data we can write f(0)= 13+1 = 2 f(1)= 23+1 = 9 f(2)= 33+1 = 28 f(3)= 43+1 = 65 f(4)=…

Q: What is the vertex of the function f(x) = 19(x+6)2 %3D O (19, 6) O (6, 19) O (6, 0) O (6, 0)

A:

Q: Suppose the point (5, a) lies on y = f(x), the point (b, c) lies on y = g(x) and the point (2, -8)…

A:

Q: Which value of c satisfies the conclusion of the MVT for the function f(x) = 3x² – 3x + 7 on the…

A:

Q: Let f (x) = 3x – 1 and g (x) = (x + 1). Find each of the following values. A. (f o g) (–1) = B. (g o…

A:

Q: Let f(x) = 2x - 1, g(x) = 3x, and h(x) = x² + 1. Compute the following. %3D a. f(g(-3)) b.…

A:

Q: Let g(t) -t+ Vt and h(t) = 9t + 4. Find the following. %3D g(h(5)) = h(g(4)) - eSC 14

A:

Q: At a company, 20 employees are making contributions for a retirement gift. Each of the 20 employees…

A: Payoff: The consequences of a decision problem for any combination of states of nature and decision…

Q: Determine a and k so the given points are on the graph of the function. (1,2), (2, – 33); y = a(x+…

A:

Q: Differentiate the following function. 2 + 6t s(t) = (P-1) (-7) %3D Choose the correct answer below.…

A:

Q: 1 3 4 -3 -6 -7 A = %3D 3 3 -4 -5 -3 9

A:

Q: Find the slope: O 4/3 O 3/4 O 4/3 O o O O

A:

Q: 2x 3y 3 10 3y 5x = 2 %3D 4 3.

A: Given system of equation is inconsistent

Q: At which value in the domain does ffx) = 0? 10 8. f(x} 4- 2 4 -3 -2 2h 3 4 X -6 -8 -10 O x=-3 X= 0 X…

A: We can find the required answer from the graph as below.

Q: If the parent function y = T is shifted 4 units to the left and 3 units down, the new function would…

A: If the parent function y=x is shifted 4 units to the left and 3 units down, then we have to form the…

Q: Let fix)= 2x-3 and gix)=x?+4x-4 . Evaluate: f(-3)= gt2)= f(a-2):

A: Given: f(x)=2x-3g(x)=x2+4x-4

Q: Verify that x² +1 = (x² + v2x + 1)(x² – V2x + 1). %3D

A: **Since you have asked to solve question no. 42, you will solve that question.Question 42.We need to…

Q: Find of/dx and dfldy. f(x,y)% 3 (3xy-1) of

A:

Q: A special 3-year endowment insurance is purchased by a 50-year old. The benefit paid at the end of…

A: Given, Type of insurance: Special endowment Term of insurance: 3 year K qK+1 bK+1 0 0.05 1000…

Q: fx) 1 A. f(x) = 2x2 + 8x + 1 B. f(x) =-2x²-7x + 1 .4 %3D -3 -5 C.f(x) = 3x² + 9x-11 D. f(x) =-6x² +…

A:

Q: a. Find h(k(- 2)) b. Find h(k(x)) c. Find k(h(- 2)) d. Find k(h(x)) 3. Consider the functions, m(x)…

A: In this question we will use basic of calculus i.e concept of composite function. We will simply…

Q: Let f(r) = 1+VI-1, then f-'(x)= Select one: O a. (z – 1)2 +1 O b. (r- 1)2- 1 | O c. (r+1)? – 1 С. O…

A:

Q: Does S = {x² + 1,x² – 1, 2x – 1} span P2?

A: we know dimension of P2 is 3 so any set which span P2 must have at least 3 elements. here given set…

Q: If P(A) = a and P(B) = b, then show that P(A/B) > (a + b - 1)/b.

A:

Q: If VAR(X) = 8, E(X)= 3, then E(X – 2)² = None

A: Provided information is,  VAR(X) = 8, E(X) = 3 From given information,…

Q: Which function grows faster as O x → +∞ ? 3x¹ + 2x³ + 3x² +1 x³ ln(x² + 1)

A:

Q: 3x-4 5 Show your work: O {,-3} O {-},3} O {-3} O {}}

A: x =a   ⇒  x= ±a

Q: (6) (x)어

A: we have been given f4(x)=(x2+1)2 we have to find the value of f6(x).

Q: Let A = {4, 8, 10, –4} and B = {64, 256, 400, 324}. Now, f : A → B defined by f(x) Answer the…

A:

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.