Answer: 10
Step-by-step explanation:
Since integral from 1 to 4 of f(x) =10
To evaluate integral from 2 to 8 of 2 times f(2x), using substitution method
Let U = 2x, dU = 2dx, dx = dU/2
Evaluate the limit, upper limit gives dU = 2*4 = 8, lower limit gives dU = 2*1 = 2.
Since this limit are the same as the limit for the question,
Therefore, F(4) - F(1) = F(8) - F(2) = 10
Substituting dx=dU/2
Gives,
Integral from 2 to 8 of 2 times f(2x)= (1/2)(2)(F(8)-F(2)) = 10
Answer:
5/4 is your slope.
Step-by-step explanation:
5-0= 5
4-0= 4
slope is chang in y over change in x. Your first point is (0,0) and you second is (4,5).
Answer:
short story has 32 pgs
novel has 416 pgs
Step-by-step explanation:
a novel (N) has 13 times as many pages as a short story (x) so, N = 13X
total pages is the equation N + x = 448
plug the equation for N into this
13x + x = 448, combine like terms
14x = 448, divide both sides by 14
x = 32. so now we know that the short story has 32 pages. subtract that from 448. and the novel has 416 pages.
a composit figure is made up of two figures
Answer:
9.5 minute
Step-by-step explanation:
500 - 25 = 50x
x = 
x = 9.5 minute
