(1 point) Calculate the Taylor polynomials T2(x) and T3(x) centered at x=π for f(x)=sin(x).
T2(x) must be of the form A+B(x−π)+C(x−π)2 where A equals: 0 B equals: and C equals:
T3(x) must be of the form D+E(x−π)+F(x−π)2+G(x−π)3 where D equals: E equals: F equals: and G equals:

the answer is  

a.

28 ft2

step-by-step explanation:

(a) x intercepts: -6 and 2

you can obtain these by solving the equation 0=x^2 +4x-12 using your favorite quadratic formula. but it is easy to verify -6 and 2 indeed satisfy this equation.

(b) y intercept: -12

this is obtained by setting x=0: 0^2+4*0-12 = -12

(c) the minimum value is: -16 (this is the vertex)

you can get the vertex by rewriting the equation into the form:

there is no global or local maximum as the function goes to infinity, so only in the limit sense: +infinity.