Consider the function f(x) = cosa, -, . Construct the Lagrange interpolation polynomial which interpolates the function f(x) at o, ₁ = 0 and ₂ = .

Q: Ax, y) = In(x +y)

A: In this question, we have to find the domain and range of f(x,y)=lnx+y As we know that the domain of…

Q: --1/0 -1 -1 1,0

A: As we can see  in the figure the tangent line passes through the point x=2. Slope of tangent line…

Q: Let h(x,y)=esqrt(y-x^2) Find the domain and range of h and sketch the domain of h.

A: Domain and Range:     Let 'f' be a real-valued function of two variables 'x' & 'y'. Then…

Q: Let P(x, y) be a point on the graph of y = √x. Express the distance, d, from P to (2, 0) as a…

A:

Q: find the extrema (minimum and maximum) of f(x) = x2-1 on (-1,2). If none, explain why.

A:

Q: use the second derivative test to find the local exterma of the function f(x) =x3 -9x2-48x+72 on R

A:

Q: Given the function fA(x) = x², g(x) = 3x – 4, find the composite function gof (where gof'means…

A: I have find inverse of f the composition

Q: I. Is the function given by g(x)=x²-3x + 2 continuous over the interval (-4, 4)? Why or why not?

A: Function given is- g(x)=x2-3x+2 continuous over the interval (-4,4) . Wee need to determine whether…

Q: The domain of the function f(x)=√12+4x−x^2 is the closed interval [A,B] where A= and B=

A: Domain is the set of all values that can be taken by x so that the equation is defined.

Q: Let f be the function given by f(x)=√x² - 9x² Find f'(x).

A: Formula Given function

Q: F(x, y) := x² + xy + y² – 1 y – x2

A: Solve the given problem.

Q: find the fallowing Js(x)

A:

Q: Find f"(x) for the function: f(x) = x – 1. -2(x– 1)-2 2(x – 1)2 O 2(x – 1)-3 -2(x– 1)

A: Derivative of a function

Q: Use the Product Rule to differentiate f(v) = v-4sinv

A:

Q: What does is mean for two functions f(x) and g(x) to be orthogonal

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Q: Let f(z) = 2z? – 3–ze" +e**. Describe this function in detail.

A: A function is an equation that relates an input to an output. A function can be written as…

Q: Determine if the function f (z) = y + xi is analytic. you must show detailed work

A: we have to check if the function  f(z)=y+xi

Q: Find the function f(x) = interpolating the data {(0,2), (1, 1)}. %3D z+6

A: A detailed solution is given below.