By using Lagrange interpolation, evaluate (3) if f(0) = 2, ƒ(1) =1 and f(4) = 4. 5.

Q: Use this definition to find f'(a) at the given number a. f(x) = V5x + 1, a = 3

A: First we find out f'(x) then put x=a=3 in f'(x).

Q: Find the c value satisfying MVT for f(x) = 3x² + 2 in 1 < x < 5

A: Given: fx=3x2+2 in interval 1&lt;x&lt;5

Q: Find the function f (x), given that f'(x) = vx + x² and f(0) = 2.

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: At which of the labeled points does f' (x) = 1? B

A: The graph of the function is given by To evaluate : The point at which f'(x) = 1

Q: For what value(s) of x is f(x) = 4?

A: The first thing we must do for this case is observed the y coordinates for a given value of x…

Q: Given the functions Az) = cos(x) and g(z) = x - 5x- 6, determine the domain of the combined fx)…

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Q: 2. (a) Define what it means by for y = f(x). %3D

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Q: The Range of y = [2x + 1] is Z, F O

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Q: Estimate the IROC for the function f(t) =Ax) = x² – 20x

A: Given: fx=x2-20x To find the instant rate of change, Differentiate the given function with respect…

Q: Given the function f(x) = x(x – 3)(x + 2), find 1) its y-intercept: 2) its x-intercepts: 3) As x →…

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Q: Find a linear approximation to f(x) = 4xe2*-6 at x = 3. Use this linear proximation to estimate the…

A: To find Linear approximation

Q: Given the function f(x)=3x2. Use linear approximation at a=2 to estimate the value of f(1.99).

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Q: given f(x,y)=ex^3 . y^8-x8y3 ,show that fxy=fyx

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Q: d f'(a) for the function f(x) = 3x-2. swer: f'(a) =

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Q: Find the average fave of the function on the given interval. f(x)= 3x^2+4x, [-1,4]

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Q: Given the function f(x) = a?e3", Determine the open interval(s) where the function is concave up

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Q: Consider the function below. Approximate f(1.99) using a linear approximation. f(x) = 2x³ – 4x² – 3…

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Q: Q1: Use third order Lagrange interpolation to Find the value of f(x) when x = 27

A: Given the data

Q: For what values of æ does the function f (x) = 12x – æ³ have a horizontal tangent line? Select all…

A: The given function is fx=12x-x3

Q: Consider f(x) = 3X. What is the best approximation for f'(2)?

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Q: On what interval(s) is the function y = –2x² + 3x/3 both increasing and concave down?

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Q: For what value(s) of x is f(x) = 3?

A: given :  f ( x ) = 3  find value(s) of x = ?

Q: If f is an even function, why is S", f(x) dx = 2 f“ f(x) dx?

A: A function is said to be even if f-x=fx   We have to prove  ∫-aafx dx=2∫0afx dx   Consider left hand…

Q: Assuming F(r) = f(g(x)) and G(r) = g(f(x)), use the table to compute the following quantities: %3D

A: Solution Given Consider the table below Assuming F(x)=f(g(x)) and G(x)= g(f(x)) We need to compute…

Q: determine the slope function S(x) for f(x)= lxl

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Q: The Range Rf for the functionf (x) = tanhx is:

A: Range of f(x)= tanh x

Q: Find the linearization for f(r) 10, and use it to approximate 12 near a=

A: We want to find the approximate value of 112 by linear approximation of the function ,fx=1x by…

Q: e. Find the point(s) on the graph of f(x)= 5x³(4x² – 60) that have horizontal tangent lines. |

A: Any function have horizontal tangent line at points where derivative is zero

Q: The Range of y = [2x + 1] is Z, TO F

A: As given function is Greatest Integer Function and we Know that greatest integer function is…

Q: Given the function, f(x) = √x + x, use linearization at x = 4, to approximate f(4.1)

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Q: Use the limit formula for the derivative of a function at a point to find f'(-3) for f(r) = 2r2 – r.

A: use limit definition to find the value of derivative.

Q: On which interval(s) is the function g(x) = xª – 8x² + 5 concave down?

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Q: Q4: Given the following data, find F(x) at x = 3 using lagrange Interpolation. 1 2 4 y 1 1 2

A: We have, x 0 1 2 4 y 1 1 2 5 Here,x0=0,   y0=1x1=1,   y1=1x2=2,   y2=2x3=4,   y3=5We have to…

Q: Suppose f(x) = N (h) + a,h+ azh³ + azh5 + . %3D The value of N (h) using Richardson's extrapolation…

A: The value of N2(h) using Richardson's extrapolation is

Q: Use this definition to find f'(a) at the given number a. f(x) = V3x + 1, a = 8

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Q: Find f(4) using forward, backward and central difference of: (3- 2x)2 f(x) = +2 Stap si02

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Q: Use this definition to find f'(a) at the given number a. f(x) = V 3x + 4, a = 4

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Q: For the function f(x), we know that f(8) = 10 and f’ (8) = -1. Use the derivative to provide an…

A: By linear approximation :fx=f8+x-8f'8=&gt; fx=10+(x-8)(-1)=&gt; f(x)=10-x+8=&gt; f(x)=18-x

Q: Given that f(x,y)=ylnxsinx, find fxxxxxy(π,1). Keep your answer to 3 significant digits.

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Q: a. For what values of x is f(x)discontinuous? b. Where does f(x) have removable discontinuity?

A: The function breaks at x=-3 and and x=2.

Q: Suppose this gi At what value(s) of x does f(x) f"(x) = 0?

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Q: Consider an F-curve with d f = (2, 14). Identify the degrees of freedom for the denominator.

A: The degree of freedom for F ratio is (k-1, N-k), where k is the number of treatment conditions and N…

Q: Find the average value of the function f(x) = x3 - 6x2 + 15 between x = 1 and x = 3.

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Q: Use the definition to find L{f(t)}

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Q: he surtace f(xy) A

A: A line lies on a plane if and only if every point on the line, lies on the plane and the normal to…

Q: For the function f(x) 5x³ – 8x² + 8, , Step 1 of 2: Find the slope of the tangent line at x = 1.

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