Find the linear approximation L(x) of the function g(x) (1+x)1/3 at a = 0. Then use L(x) to approximate the numbers (.95)1/3 and (1.1)1/3.

Q: 0st<3 f(t) = 5+ 6(t – 2)et-3 t2 3

A: By using table of Laplace transform I solve your problem as follows :

Q: Find the average of the function f (x)= 9x² - óx over [0, 2]. O a. Average = 10 O b. Average = 12 O…

A: Here, we need to find the average of the function f(x) = 9x2 - 6x over [0, 2].  We know that,

Q: Find F′(x).

A: Given function Fx=∫14xcott dt To find: F'x Solution: Fx=∫14xcott dt=lnsint14x=lnsin4x-lnsin1…

Q: Estimate L4 and R4 and over [0,7] for the function f(x) = 7x2

A: We have to estimate L4 and R4 in the interval 0,7 for the function: fx=7x2 L4 and R4 denote the left…

Q: Given f(x)=x+(1/x).   Find f(a).

A: Given, The function is f(x)=x+(1/x).

Q: Estimate L4 and R4 over [0, 7] for the function f(x) = 5x². (Use decimal notation. Give your answers…

A:

Q: The slope of the line tangent to the graph of f(x) = 18 – 5x² at the point x = -8 O 20 O 10 O 160 O…

A:

Q: Use differentials and the graph of f to approximate    (a) f (1.9) and (b) f (2.04).

A: