Step-by-step explanation:
Tracie’s bus travels towards her home at an average speed of StartFraction one-half EndFraction mile per minute.
To evaluate 17 int (sin^2 (x) cos^3(x))
From Trig identity. Cos^2(x) + sin^2(x) =1. Cos^2(x) = 1 - sin^2 (x)
Cos^3(x) = cosx * (1 - sin^2 (x)) = cosx - cosxsin^2x
So we have 17 int (sin^2x(cosx - cosxsin^2x))
int (sin^2x(cosx)dx - int (sin^4xcosx)dx. ----------(1)
Let u = sinx then du = cosxdx
Substituting into (1) we have
int (u^2du) - int (u^4du)
u^3/3 - u^5/5
Substitute value for u we have
(sinx)^3/3 - (sinx)^5/5
Hence we have 17 [ sin^3x/3 - sin^5x/5]
Answer:
Option A , C and D are correct.
Step-by-step explanation:
Double Facts states that the additions in which a number is added to itself.
then; by definition of double facts
Use Double facts to find the sum of 3 + 2
3 + 2
=3 + (3 - 1)
= 3+ 3 - 1
= 6 - 1
= 5
similarly,
3+2 = (1+2) + 2 = 1 + 2+2 = 1 + 4 = 5
Also;
3 + 2 = 3 + (1+1) = 3 +1+1 = 5
therefore, the double facts that used to find the sum of 3+2 are; 2+2 , 3+3 and 1+ 1.
First we need to calculate the 2 angles that make up Angle B at the top of the triangle.
Using that angle we can find the length of CD.
See the attached picture:
Answer:
the answer is 10
Step-by-step explanation:
