Let g(t) denote the inner integral. By the fundamental theorem of calculus, the first derivative is
Then using the FTC again, differentiating g gives
Y= 6 + x
Plug the numbers into the equations, for each ordered pair substitute the first number (2) for x and the second number (8) for y...
Do the same thing with (6, 12) and if the number on each side of the equals sign is the same for both ordered pairs then you have the solution.
Hope that helps!
Answer:
Volume of rectangular prism:
V1 = base x height = 4 x 6 x 12 = 288 ft3
Volume of triangular prism:
V2 = base x height = 4 x (6/2) x 6 = 72 ft3
Volume of composite prism:
V= V1 + V2 = 288 + 72 = 360 ft3
Hope this helps!
:)
Answer:
- 27 and 7
Step-by-step explanation:
To obtain f(- 6) substitute x = - 6 into f(x), that is
f(- 6) = 4(- 6) - 3 = - 24 - 3 = - 27
To obtain g(- 3) substitute x = - 3 into g(x), that is
g(- 3) = - 3(- 3) - 2 = 9 - 2 = 7
