Determine a, b and the coefficient of determination so that f(x) = ax fits the following data by the LS-Method. Support your answer with graphic solution 0.5 0.49 1.0 1.60 1.5 3.36 2.0 6.44 2.5 10.16

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: III. Given g(x) = 2x² – 3 for x 2 0. 4. Write an equation for g-(x). %3D

A:

Q: 3 find the values of B. Given the following functions: f(x) = 3x + 2; g(x) = 3x² + 2; and h(x) %3D…

A:

Q: f(x) = x/(x³ – 2) %3D

A: Differentiating with respect to x, we get

Q: Determine when matthew first ranked his intensity at 7.5. f(x)=5sin 3.14/2(n-2)+5

A: Given: f(x)=5sin 3.14/2(n-2)+5     To determine: The value of n when f(x) = 7.5 where n should be…

Q: The population of a town can be modelled by the function P(t)= 20 (4t+3)/(2t+5), where P is the…

A: Part(a): Given function is, pt:204t+32t+5 Substitute 0 for t into the given equation for finding the…

Q: The slope of the line tangent to the graph of f(x) = 12 – 2x? at the point x = -9 4 9.

A: Solution

Q: . If f f() dr 17 and | f(x) dr = 8, find f(x) dr. %3D

A:

Q: Suppose f(x) = v9 + x – Vx – 6. Find all x-values satisfying the equation f (x) = 3. %3D

A:

Q: The function y=e−3x is vertically stretched by a factor of 4, reflected across the y-axis, and then…

A: Given

Q: SOLVE THE FOLLOWING PROBLEM AND SHOW YOUR COMPLETE SOLUTIONS FOR BETTER UNDERSTANDING. f(x) 0 100…

A:

Q: 3. If f(2) = 3, g(3) = 2, f(3) = 4, and g(2) = 5, ƒ [(f • g)(3)]. %3D

A: Given: f2=3, g3=2, f3=4, and  g2=5

Q: Given the data points (5, 523), (9, 4625), (11, 9853) , and (15, 32003), find the value of f(x) if x…

A:

Q: If the function y=e−3x is vertically stretched by a factor of 4, reflected across the y-axis, and…

A:

Q: b. If n = 7 and p = 0.70, find P(x = 4). %3D P(x = 4) = c. If n = 10 and p = 0.75, find P(x> 7).…

A:

Q: 2. 7x' + 15x + 9x + 1 = 0. %3D Find exact value(s) for x such that (x+ 1)

A: Solve the equation

Q: c) Find f(-1) if f(0) = 2, f(1) = 9, f(2) = 28, f(3) = 65, f(4) = 126, f(5) = 217. %3D

A: Newton's forward difference interpolation formula is, y(x)=y0+pΔy0+ p(p-1)2!    ⋅Δ2y0+  p(p-1)p-33!…

Q: Write a formula for ( ogoh) where r-2 f(x) = 3x - 4, g(x) h(x) = Vx - 2 x+1

A:

Q: Compute f(x) for the data below: (0, 1), (1.25,3) and (3.25,7)

A: For the given data,since the difference between the x values are not same,we are going to find the…

Q: 5. f(x) = {" -2 (x² – 4 if x # -3 if x = -3' Evaluate f(4), f(0), f(-3) and f(-2/3)

A: We can solve the problem by just putting the values as per instructions.

Q: Q.1: Find f(A), where f(x) = x³ – 2x² – 22.

A: Given: f(x)=x3-2x2-22 To find: f(A)