For the given functions f(x)=sintx let xO=1,x1=1.25, and x2=1.6. Construct interpolation polynomials of degree at most two to approximate f(1.4). O 4.552379809x2-10.82128170x+7.2689018882 O 5.552379809x²-10.82128170x+7.2689018882 O 7.552379809x2-10.82128170x+7.2689018882 O 3.552379809x2-10.82128170x+7.2689018882

Q: Write down the times tables for: F3[x]/(x² + 1) and Z[i]/(3).

A: We will use basic knowledge of ring theory and/or field theory to answer this question.

Q: Qs = 89830 -40PS +20PX +15PY +2I +.001A +10W   Characterize this function by circling all in the…

A: The given function is: QS=89830-40PS+20PX+15PY+2I+0.001A+10W

Q: Consider the following function: f (x) = -1/2 x^4 +16x^2 -4 Determine f′(x) and f′′(x).…

A: Given: f(x)=-12x4+16x2-4 To determine: a) f'(x) and f''(x) b) Where the function is increasing and…

Q: f(x) = 6x-1 ax + b 8x-1 for x 1/1/201

A:

Q: Let f(x)= (x-17)^3/5 Find the values at which the points of inflection occur.

A:

Q: If f(z) <0 for all real numbers z then f is decreasing on (-o, 00) Select one: O a. False O b. True

A:

Q: For the function f(x) = 5x° -4x +2x + 3, findf "(x). Then find f"(0) and f"(4). f"(x) = Select the…

A: Double derivative

Q: Determine which of the following functions are valid PSDS (i) wó + 30 +3 (ii) exp|- (@- 1)

A:

Q: Use appropriate Lagrange interpolating polynomial to approximate f(8.2) , if f(8.3) = 17.56,f(8.1) =…

A: The value of the table for x and y: x 8.3 8.1 8.6 y 17.56 16.94 18.51 We will approximate…

Q: Evaluate the following function. If p (x) = 7 (4)" , find p (5)

A:

Q: Q4) a. Expand the function f(x) = e(x*+2) by using 12 terms only. b. Rename the expansion terms by…

A: Note: Hi! Thank you for the question, as per the honor code, we are allowed to answer three…

Q: Let x2-2x-3 f(x) = キ3 if For what Values of x is f Contin uo4s? Find the absolate min values of the…

A: Given function is

Q: Given that k(x) = 4 – V5 – ¤, find k '(x). Find the DOMAIN and RANGE of k'(x), writing your answers…

A: Domain and range of inverse function

Q: Given y = f(x) = |x - 2| + |1 − 2x|-|1 - x. Write y as a piecewise function by showing your work for…

A:

Q: Consider the following functions. f(x)= 1/3x^2-3/4x g(x)=1/2x+5/6 h(x)=1/4x^2-5/8x+2/5 Part a.…

A: We have f(x)=13x2−34xg(x)=12x+56h(x)=14x2−58x+25

Q: Let f(x) = cxk be a power function such that f(3) is 30 times the size of f(1). What is the power k?…

A:

Q: 2. Given that f(x) = 6 1-a find and simplify f 2²4) Show all of your work clearly.

A:

Q: Evaluate the function f(x) = e* + In (x + 6) at 0. (Express numbers in exact form. Use symbolic…

A:

Q: a) For the following functions, f(x)=√√2-x h(t) = t+1 2t² + t-6 2x + 1 x > 3 p(x)= x²₁-1<x<3 -3,…

A:

Q: find the greatest value of the function within the intervals f(x) = /(1– x² )(1+2x²) in [–1,1].…

A: Let's find.

Q: 7/Evaluate y = (Sinx) at (x= x/5) by using polynomial interpolation from the following table, then…

A: Let us find the polynomial for f(x)

Q: Evaluate the following function. If p (x) = 4 (3)", find p (3)

A: p(x) = 4(3)x to find p(3) we will put value of variable x = 3 .

Q: Graph f(x) = 3x2/3 − x. (The 2/3 is an exponent on the x.) a. Compute the first derivative. Make a…

A: f(x) =3 x23-x f'(x) =233 x23-1-1         =2x-13-1         = 2x13-1 To draw the sign chart, compute…

Q: The approximate area would be more than the exact area. The approximate area would be less than the…

A: Solution

Q: Let f(x) = e2X be a function approximated by a polynomial Pn (x). If P, (2.5) =0.00687, what is…

A: We know that Absolute error is the absolute value of difference of measured value and actual value.…