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AveGali [126]
3 years ago
8

Urgent! Need help solving

Mathematics
1 answer:
OLga [1]3 years ago
5 0

Answer:

d 64

Step-by-step explanation:

f(-3)=1/2 ^-6=2^6=64

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Evaluate the difference quotient for the given function.
kherson [118]

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

\dfrac{\frac12 \sin(2(t+h)) - \frac12 \sin(2t)}h = \dfrac{\sin(2t+2h) - \sin(2t)}{2h}

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

\dfrac{\sin(2t)\cos(2h) + \cos(2t)\sin(2h) - \sin(2t)}{2h}

or

\boxed{\sin(2t)\dfrac{\cos(2h)-1}{2h} + \cos(2t)\dfrac{\sin(2h)}{2h}}

(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).)

7 0
2 years ago
1
fgiga [73]

Answer:

1 1/5

Step-by-step explanation:

12/10=1.2 or 1 1/5

5 0
3 years ago
A quarterback throws a football to a teammate. The football is 6.5ft above the ground when it leaves the quarterback's hand. His
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You never actually asked a question but if you are asking the rate at which the football traveled then that would be traveling 1 foot down every 2.33333 seconds
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3 years ago
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Please help me out !
Ahat [919]

Answer:

a) -9/-10 (4th)

b) -3/5 (4th)

3 0
3 years ago
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Standard form 6000000+80000+10
SIZIF [17.4K]
6,080,010 hope this helps you 

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