5. Consider the sequence {a} defined recursively as : a = 0, a₁ = 1, an = an-1 + an-2. Prove by mathematical induction that Σα; + 1) = an+2 +n holds for an arbitrary n € Z+ j-0

Q: 3. √11

A:

Q: 7.2-9

A: Solution: The percentage of body fat measured at the beginning of the semester and at the end of the…

Q: 12. Stan³0 sec²0d0

A: Integration is done by "u" substitution method

Q: 18. -5

A:

Q: Find .6 7 LT." 3 4 xy dydx.

A: Given that the integral ∫36∫47xy dydx. Find the value of given integral.

Q: 9 What is the y value when x equais 1? Your answer 10. What is the y value when x equals 5?

A: We are given a table describing relationship between x and y such that: x 0 1 2 3 4 5 y 5…

Q: a) : ?

A: here differentiate both sides with respect to x.

Q: 4.5-10

A: Introduction: Suppose X and Y follow the bivariate normal distribution with mean and variance of X…

Q: 7. Use your graph to estimate how the scale factor changes between a box with volume of 1 cubic foot…

A:

Q: -2.4≥ x/5

A: We have to solve for x

Q: (y>-- (2x-y 2-3 AALAM

A: Here we have to graph the given inequality:-  y>-x2-22x-y ≥-3

Q: -7 2. Fine the gcneral Selution

A: Given differential equation is: x2d2ydx2+xdydx+y=-7.     …..1 Substitute x=ez z=logx Now,…

Q: Which graph represents the following ellipse (z+1)ª + 16 (v-3)° 36 = 1?

A:

Q: 2. Factor. 10 x2/5 (4x + 7)/2 +÷ 7 3 7/5 (4x + 7)-1/2 3

A:

Q: -7 3. Find (3-4) 5) 1 1

A:

Q: 10.1-2 q 6

A: Image is attached with detailed solution.

Q: 2. Factor x from ax + bx

A: We have to factor x from ax+bx.

Q: Σε. %3D k=1

A: