Part 1: A certain experiment produces the data (0,10), (1,12), (2,15). Describe the model that produces a least-squares fit of these points by a function of the form y=Acosx+Bsinx. * Please Show All Your Steps Part 2: Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. *Please show all your steps for both parts

Q: REWRITE

A: given that , increasing rate of area of a square be = 48  cm2/ secthen we have to find change rate…

Q: (1,-16) and (-3,12)

A: To write down the equation of the straight line joining the two given points.

Q: 1. Show whether the given polynomials 1+4x + x², 2+ 5x + 3x2, 3x 5x, and 3+ 15x - 8x spans p,.…

A:

Q: Find the number of roots for the equation. 5x4 + 12x³ – x² + 3x + 5 = 0

A: As we know that the number of roots is equal to the highest power of the polynomial.

Q: Please do b, c and d! Please show steps and explain!

A: From given graph, v1 is adjacent to vertices v2, v3, v4 v2 is adjacent to vertices  v1, v2, v4  v3…

Q: help me with b and c too please

A: The given equatons are b) c)

Q: 5x-1 - 6y-1 бу-1 8x-2 + 5y-2

A:

Q: 2. y=x,Y=0,X=2, X=3

A:

Q: A -1 =

A: We have to find the inverse of given matrix.

Q: Integrate +9 +C

A: topic- indefinite integral

Q: 5. Show whether whether the set of vectors in R*is linearly independent.Justify your answer. (0,0,…

A:

Q: can you please answer number 7 and show you did the work.

A:

Q: Simplify  3-1/y-5/4/y-5

A: Observe the following fact.

Q: Question 7 Completely simplify y=-2x³(x+4)2. You must show all of your work to receive credit.…

A: Given,

Q: (-5,3)and(-1,0)

A: Topic:- geometry