Consider the function given by f (x) = x². Determine the coefficient a of the linear interpolating function P(x) = ax that interpolates fat two nodes o = 0, ₁ = 1.

Q: For males born in a certain country in the year 1991, their life expectancy was 66.4 years. For…

A: We have to solve the given problem by given data.

Q: F .2 .2 x- +y at A=(2, 3), B=(-2, 2) and C=(3, -4).

A: 1.) div F at A(2,3) = <4,6>2.) div F at B(-2,2) = <-4,4>3.) div F at C(3,-4) =…

Q: Consider the function f(x)=3x+8 on the interval [2,10]. Find the average or mean slope of the…

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Q: Consider the function f(x) = 5x³ – 2x on the interval [-2, 2]. | Find the average or mean slope of…

A: Given that, f(x) = 5x3 - 2x    on the interval [-2, 2] we have to find mean slope of the function…

Q: Let f be a linear function for which f(−4) = −9 and f(4) = 15. Determine f(0).   f(0) =

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Q: Consumer A’s utility function is UA(x1,x2)=min(2x1,x2). Consumer B’s utility function is…

A: Given that - Consumer A’s utility function is UA(x1,x2)=min(2x1,x2). Consumer B’s utility function…

Q: Linearize the function f(x) = x3 + 2x + 4 at a = 3.

A: To linearize a function  at certain point x=a , first we need to evaluate the function value at a (…

Q: If f(x) = 2 + 3x – 4x², determine the value of the dependent variable f(5) – f(3). Show your work.

A: We can solve the problem by putting the value 5 and 3 in the given function.

Q: The wave heights h in the open sea depend on the speed v of the wind and the length of time t that…

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Q: The function f(x) = x3+Ax+B has a stationary point at (-2,3). Find the values of A and B .

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Q: does this equation define a linear function y=3/4x when x≠0

A: Linear functions are typically written in the form f(x) = ax + b The graph of Linear function  is…

Q: Find f(x) if f is a linear function with the slope 4 and f(4)=3. F(x)=

A: given slope of linear function m=4 And f(4)=3

Q: Form the PDE by eliminating the arbitrary functions from the relation z = f(xy)

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