Fit a quadratic function of the form f(t)=c0+c1t+c2t2f(t)=c0+c1t+c2t2 to the data points (0,−5)(0,−5), (1,5)(1,5), (2,−3)(2,−3), (3,11)(3,11), using least squares.

Therefore the required quadratic polynomial is

Step-by-step explanation:

Given quadratic function is

Given data (0,-5), (1,5) , (2,-3) and (3,11)

Its means f(0)= -5, f(1)= 5, f(2) = -3 and f(3)=11

Let

  ,        and

We can write this system as

Since

we have ,ker A= {0}

Therefore

Putting the values of in the given quadratic equation

Therefore the required quadratic polynomial is

answer: 88

step-by-step explanation:

this is the formula: v = the value of investment at the end of the time period

p = the principal amount (the initial amount invested)

r = the annual interest rate

n = the annual frequency of compounding (how many times a year interest is added)

t = the number of years the money is invested

^ means raise to the power of