Assuming you mean f(t) = g(t) × h(t), notice that
f(t) = g(t) × h(t) = cos(t) sin(t) = 1/2 sin(2t)
Then the difference quotient of f is
Recall the angle sum identity for sine:
sin(x + y) = sin(x) cos(y) + cos(x) sin(y)
Then we can write the difference quotient as
or
(As a bonus, notice that as h approaches 0, we have (cos(2h) - 1)/(2h) → 0 and sin(2h)/(2h) → 1, so we recover the derivative of f(t) as cos(2t).)
Answer: 22
Step-by-step explanation:
By the triangle midsegment theorem, QR=2(US)=2(11)=22.
Answer:
64.87° = 65°{ to the nearest degree}
Step-by-step explanation:
From the figure Catherine is standing 105m from the point B where the Ballon is; this description fits a= 105 m from the diagram.
Similarly Aisha is standing 95m from the point B where the Ballon is; this description fits c= 95 m from the diagram
A = ? ( The angle of elevation of Aisha towards the balloon)
C = 55°
From Sine rule
It states that the sine of an angle divided by its corresponding side is equal for all corresponding angles and sides along the triangle.
This is expressed mathematically as;
Sin A/ a= SinB/ b= SinC/c
We take the pairs of relevance;
Sin A/ a = SinC/c
There SinA = SinC/c × a
=Sin55/95 × 105
= 0.9053
A = Sin^(-1)[0.9053]
A = 64.87° = 65°{ to the nearest degree}
Answer:
carbon footprint
7.7 tons
Step-by-step explanation:
Given that,
carbon dioxide produced by a car over 7 year period = 53.5 tons
To find,
carbon footprint <em>(tons of carbon dioxide per year)</em>
7 years ------> 53.5 tons
1 year -------> 53.9/7 tons
= 7.7 tons
tons of carbon dioxide produced per year = 7.7
Answer:
c. $0.75 per minute at one rate for the first 5 minutes and $0.25 per minute thereafter
Step-by-step explanation:
The last 5 minutes of the 12-minute call cost ...
$5.50 -4.25 = $1.25
so the per-minute rate at that time is ...
$1.25/(5 min) = $0.25/min . . . . . . . . matches choice C only
__
You know the answer at this point, but if you want to check the rate for the first 5 minutes, you can subtract 2 minutes from the 7-minute call to find that ...
The first 5 minutes cost $4.25 - 2·0.25 = $3.75, so are charged at ...
$3.75/(5 min) = $0.75/min . . . . . . . matches choice C
