Let f(x) =Vx. We used the cubic Lagrange interpolating polynomial based on the nodes x = 1, 2, 3, 4. Then the upper bound error of this interpolation approximately equal to O a. 0.05859375 O b. 0.078125 O c. 0.457764*10-3

Q: Giving f(0.23) = 0.362, f(0.53) = 0.143, f(0.86) = −1.143, please use inverse interpolating method…

A: Given that f0.23=0.362, f0.53=0.143, f0.86=-1.143. Using inverse interpolating method to get the…

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: ****** x² x3 x4 +: 6 P4(x) = 1+ x + x +¬+ 2 24

A:

Q: 2. Suppose that f(x) = ((.x² + x·5).5 +.r.5).5 when x ≥ 0. Find df(x)/dx. •5 (@ï¥2³ )² +x²)+…

A: The answer is given in step 2

Q: 4. An interpolating polynomial of degree 20 is to be used to approximate e-² on the interval [0,2].…

A:

Q: Find the deniva tive of the given Fimction log 4 (x) +16

A: Fx=log4x+16x⇒Fx=lnxln4+16x

Q: Suppose the following S shape of the total cost curve can be captured by the following cubic or…

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Q: numerical

A:

Q: Suppose that Var(X) = 934.93, Var(Y) = 11297.02, and Cov(X,Y) = 2912.35. What is Var(.87X + .13Y)?

A: The given .The aim is to find the .The formula used .

Q: Consider p(x) = (x - 1.5001)(x - 1.5)(x - 1.4999). |p| \rp'(r)] Evaluate the formula = at the root…

A: As per norms, we will be answering the first question. If you need an answer to others, then kindly…

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: The 2nd degree polynomial that interpolates to f(x): = 2cosx - sinx at x = 0, x = π/2 and x = π is…

A:

Q: Four identical circles of radius r are inscribed (as shown) in a square of side x feet. (a) Express…

A: A detailed solution is given below.

Q: What values of a and b, with a < b, minimize the value of (x* – 2r?) dr?

A: The given integral is ∫abx4-2x2 dx. Draw the graph of the function y=x4-2x2 as shown below. .

Q: Evaluate: √x(x - 5)dx Solution: √ √x(x - 5) dx = f x²(x - 5) dx by law of exponents/ = f (x² - 5x)…

A: Given problem:- ∫√x(x-5) dx

Q: Q3. Using interpolation, approximate the following function by a polynomial of degree at most 3…

A:

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: G(n) = (d)o(d) is multiplicative function. If p is prime then G(p*), fork >1 equals dịn Select one:…

A:

Q: f(z) → Preview ii. Using your answer to part (i), determine the end behavior of f (whether f(z)…

A: monomials contain only one term

Q: Q.2) Fit a second-order Newton's interpolating polynomial to estimate logl0 using log8=0.9030900,…

A: Given that : log8=0.9030900log9=0.9542425log11=1.0413927 The linear interpolation is ,…

Q: Compute each of the following for the polynomial f(x)=−7x^8+7x^5+7x^3−6x. (a) f′(x)= (b) f′′(x)=…

A: We have f(x)=-7x8+7x5+7x3-6x (a) Now Differentiate with respect to "x"…

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

A: Solution

Q: 1#Use appropriate Lagrange interpolating polynomial to approximate f(7.2) , if f(7.1)=6.94,…

A: