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
Between 30% to 44% every year
Answer:
a 34
b 134
c 140
Step-by-step explanation:
a) 180 - 146 = 34
b) 180 - 46 = 134
c) 180 - 40 = 140
Answer:
2√5
cos x = -------------
5
Step-by-step explanation:
If tan x = 1/2 then what is cos x?
Recall that tan x is defined as the quotient sin x / cos x, so that in this case sin x / cos x = 1 / 2 = opp side / adjacent side. Also, recall that cos x = adj side / hypotenuse.
To determine cos x, we need to find the length of the hypotenuse. That, in turn, through use of the Pythagorean Theorem, is √(1^2+2^2), or √5.
Then cos x = adj side / hyp = 2/√5. Rationalizing the denominator, we get
2√5
cos x = -------------
5
Deductive thinking: When you start with a given set of rules and conditions and determine what must be true as a consequence.
So the answer is true.