3.1 5, a quadratic function is given

A quadratic function f is given.f(x) = −x2 + 16x(a)Express f in vertex form.f(x) =   (b)Find the vertex and  x- and y-intercepts of f. (If an answer does not exist, enter DNE.)vertex(x, y)vertex:X... more

3.2 Polynomial functions and their graphs (15)

The graph of a polynomial function is given.P(x)= -(1/2)x^3 + (3/2)x - 1 The x y-coordinate plane is given. The curve enters the window in the second quadrant, goes down and right becoming less... more

06/03/24

Show 2nd derivatives with respect to x of both y=(1-x^2)^(1/2) and y=-(1-x^2)^(1/2) are not zero at x=1

for x2+y2=1 show 2nd derivatives with respect to x for both semicircle functions do not exist at x=1 and x=-1.

06/01/24

Calculus: Limits

What makes a limit become non existence?I know that on a graph, you can tell if a limit exists or not when a^- and a^+ are equal. But if I am finding the limit algebraically or by using a table,... more

05/16/24

This question concerns freezing point depression and boiling point elevation.

Determine the molality of ethylene glycol in water required to prevent the solution from freezing at -18 degrees C. 

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