Given the following data. 1.5 1.6 1.7 1.8 1.9 2.0 f(x)| 1 |2.35 3.12 5.62 | 7.7 9.5 Estimate (a) f'(1.5) and f' (2) using the most suitable 3 point finite difference formulae with h = 0.1. (b) f"(1.8) using 5 point difference formula with h = 0.1.

Q: Using the given data. Compute f"(1.4) at O(h2) using h=0.4. X у 1.0 2.9170 1.2 9.2005 1.4 20.5173…

A: Consider the given table, x 1.0 1.2 1.4 1.6 1.8 y 2.9170 9.2005 20.5173 38.0675 63.0511 The…

Q: 4. 3 Prove that cos 30=4 cos³ 0-3 cos 0

A: To prove the following we use formulas: cos(x+y) = cos(x)cos(y) - sin(x)sin(y)…

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A: The five-point endpoint formula to approximate f'(x0)…

Q: Use the table below to determine a best estimate for f'(9). 1 9. 13 17 f(x) 12 14 18 36 50

A: The derivative at x = 9 is equal to the slope at x = 9. To estimate the slope at x = 9 first find…

Q: 5. Given the following data: 0.0 0.2 0.4 0.6 0.8 f (x) -6.12500 -5.89173 -5.64215 -4.91321 -4.28757…

A:

Q: use the table to estimate the 10.2 10.3 5.6 4.3 4.7 4.2 10 10.1 (x) 4.5 3.4 g'(x) 6.5 5.9 9 Sunday

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A: The graph is the geometric representation of the given partial sum.  This is also left Riemann sum…

Q: 9. 6. Given f(x) dx = 5 and g(x) dx = -3, evaluate the following. %3D

A:

Q: A function is given. F(t) = 4; t = a, t = a + h (a) Determine the net change between the given…

A: Net change of f between points 'a' and 'b' isf(b) - f(a)[a] Evaluate function at a given points: 'a'…

Q: a) Show F is a valid CDF. Ans: F is 0 to the left, F approaches 1 to the right, and F never…

A: F(X)=1-1/x2 ; x≥1

Q: 11 PR || QS 11.2 PQ RS 11.3 QR = QS. 11.1 %3D

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Q: Q.26 Given the following set of discrete data: X 0.75 1.0 0.5 0.625 0.9250 0.7966 0.6363 0.200 0.25…

A: From the given information:

Q: The acceleration after t seconds of a hawk flying along a straight path is a(t) = 0.4 +0.12t ft/s2.…

A: a(t) = 0.4 + 0.12t

Q: 13. The graph of the function f is shown in the figure below. If g(x) = ] At) dt, which of the %3D…

A: From the graph of function shown figure  (i)    g(-3) = 2  (ii)   g(-2) = 1  (iii)  g(0) = 2  (iv)…

Q: I 9.5 f(x) 0.858375 Use three-point Midpoint difference formula to approximate f'(10). 10. 10.5. 1.…

A: Three point midpoint formula: f'(x) = (1/2h) ( f(x+h) - f(x-h) )

Q: When estimating distances from a table of velocity data, it is not necessary that the time intervals…

A: To find- When estimating distances from a table of velocity data, it is not necessary that the time…

Q: 8.116 For a t-curve with df = 17, use Table IV to find each t-value. c. to.005 b. fo.025 a. to.05

A: Followings are the Explanation of the question  Use the t table and find the t-critical value  when…

Q: 0.5 1 1.5 2.5 b. 572 330 h(q) 190 110 63 Estimate h' (1.5) using the table. Give your estimate…

A:

Q: Suppose that a bike's velocity, v(t), as it moves on a straight road, is recorded every 2 min during…

A:

Q: 9. A car's speedometer is not always completely accurate. The error in this measurement is based on…

A: A cars speedometer is not always completely accurate.The error in this measurement is based on the…

Q: Given f(10) = 50 and f'(10) = 2 Approximate the following values f(11)~ f(9.5)~ ƒ(10.25)~

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Q: sinx, h(x) = x² f(x) = 3x - 2, g(x) = sin x,

A:

Q: Consider the following data: UTM 0.4 0.6 0.8 y 1.63 2.22 3.35 4.79 5.05 1.0 i. Approximate f"(0.8)…

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Q: (a) Find the average rate of change in f(x) from: (i) x = 0 to x = 2 (ii) x=-3 to x = 1

A: As per the instruction, we will be answering the first question. Given: For (a), The average rate…

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A: From the above output We are given that the output of the regression

Q: -4 2 3 For the above function f( x ) = 2 · 1.5, estimate f'(x) using h = 0.001 for the following…

A: Given that f(x)=2×1.5x and h=0.001

Q: 25. Solve A) calculate the average rate of change from x= 15 to x = 20 using the given table B) use…

A: