Step-by-step explanation:
Derivation using Product rule : -
To find the derivative of f(x) = sin 2x by the product rule, we have to express sin 2x as the product of two functions. Using the double angle formula of sin, sin 2x = 2 sin x cos x. Let us assume that u = 2 sin x and v = cos x. Then u' = 2 cos x and v' = -sin x. By product rule,
f '(x) = uv' + vu'
= (2 sin x) (- sin x) + (cos x) (2 cos x)
= 2 (cos2x - sin2x)
= 2 cos 2x
This is because, by the double angle formula of cos, cos 2x = cos2x - sin2x.
Thus, derivation of sin 2x has been found by using the product rule.
Answer:
$126.20
Step-by-step explanation:
<u><em>Given:</em></u>
<em>Mike is buying eight tickets for a concert. </em>
<em>A package of five tickets costs $74.45. </em>
<em>Individual tickets cost $17.25 each.</em>
<u><em>To Find:</em></u>
<em>What is the least amount that Mike can pay for eight tickets? Be sure to include a decimal point in your answer.</em>
<u><em>Solve:</em></u>
<em>Since we know that:</em>
<em>A package of five tickets costs $74.45. </em>
<em>Individual tickets cost $17.25 each.</em>
<em>Hence we know that 5 + 3 = 8</em>
<em>Thus,</em>
<em>$74.45 = 5 tickets</em>
<em>Now for the 3 tickets we can do individual tickets which cost $17.25</em>
<em>$17.25 × 3 = 51.75</em>
<em>Then we add both together:</em>
<em>51.75 + 74.45 = $126.20</em>
<em />
<u><em>Kavinsky</em></u>
You wing that and hope you get it right!
Answer:
-2
Step-by-step explanation:
Answer:
y=4x+9
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(1-(-11))/(-2-(-5))
m=(1+11)/(-2+5)
m=12/3
m=4
y-y1=m(x-x1)
y-(-11)=4(x-(-5))
y+11=4(x+5)
y=4x+20-11
y=4x+9
