2 years ago

Vectors U and V are shown on the graph (The graph with letters U and V)

Mathematics

1 answer:

kolezko [41]2 years ago

5 0

Answer:

see attached

Step-by-step explanation:

The vector difference u -v can be represented on a vector diagram by the sum u +(-v), where -v is a vector the same length as v, but in the opposite direction.

This sum is shown in the attachment.

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What is the relationship between the sine and cosine of complementary angles? a They are the same. b They are reciprocals. c The

yanalaym [24]

Answer:

A. They are the same.

Step-by-step explanation:

The sine of any acute angle is equal to its cosine.

6 0

2 years ago

Find the average value of the function f(t)=cos13(5t)sin(5t) f(t)=cos13⁡(5t)sin⁡(5t) on the interval [4,10].

Vilka [71]

The average value is given by

$\displaystyle\frac1{10-4}\int_4^{10}\cos^{13}5t\sin5t\,\mathrm dt$

Setting $y=\cos5t$ , you get $\mathrm dy=-5\sin5t\,\mathrm dt$ , and the integral becomes

$\displaystyle-\frac1{30}\int_{\cos20}^{\cos50}y^{13}\,\mathrm dy$
$=-\dfrac1{30}\dfrac{y^{14}}{14}\bigg|_{y=\cos20}^{y=\cos50}$
$=-\dfrac{\cos^{14}50-\cos^{14}20}{420}\approx-0.00145$