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3 years ago

Find the derivative of the function y = sin(tan 4x)

1 answer:

4 0

$\bf y=sin[tan(4x)]\implies \cfrac{dy}{dx}=\stackrel{chain~rule}{cos[tan(4x)]\cdot sec^2(4x)\cdot 4}
\\\\\\
\cfrac{dy}{dx}=4cos[tan(4x)]sec^2(4x)$

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How can you tell which function has the greatest constant of variation?

alekssr [168]

The constant of variation in a direct variation is the constant (unchanged) ratio of two variable quantities.

The formula for direct variation is

y=kx (or y=kx)

where kk is the constant of variation.

Example 1:

If y varies directly as x and y=15 when x=24,

find x when y=25 .

Find the constant of variation.

k=y/x=15/24=5/8y=5/8x

To find x, substitute 25 for y.

25=5/8x

x=40

The constant of variation in an indirect variation is the constant (unchanged) product between two variable quantities.

The formula for indirect variation is

xy=k (or y=k/x )

where k is the constant of variation .

Example 2:

If it takes 4 hours at an average speed of 90 km/h to do a certain journey, how long would it take at 120 km/h?

Find the constant of variation.

k = speed · time

k=90⋅4=360

Then,

time=k/speed =360/120 =3 hours.

6 0

4 years ago

Plz help

siniylev [52]

Answer:

I think its D but no hate if not.

8 0

3 years ago

Read 2 more answers

The Garcias have $12,000 in a saving account. The bank pays 3.5% interest on saving accounts, compounded monthly. Find the ba

LUCKY_DIMON [66]

The formula is
A=p (1+r/k)^kt
A the balance?
P present value 12000
R interest rate 0.035
K compounded monthly 12
T time 3years
A=12,000×(1+0.035÷12)^(12×3)
A=13,326.49

Hope it helps!

3 0

4 years ago

-3a - 3 = -2 + 3p ˢᴼᴸᵛᴱ ᶠᴼᴿ ᴬ

skad [1K]

Hi!

$-3a - 3 = -2 + 3p$

$-3a=3p+1$

$\frac{-3a}{3}=\frac{3p+1}{-3}$

$Answer------>a=-p+\frac{-1}{3}$

Explanation: First you had to add by 3 from both sides. It gave us -3a=3p+1. Then divide into -3 from both sides. It gave us -3a/-3=3p+1/-3, or a=-p+-1/3 is the right answer. Hope this helps! And thank you for posting your question at here on Brainly. And have a great day. -Charlie

8 0

3 years ago

Which of these equations represent functions where x is the input and y is the output? Select each correct answer.

Andru [333]

The first equation is a constant. There is no input necessary, and the output remains 5.
The second equation is also a constant. The output is 4.
In the third equation, y depends on what value of x you use. x is the input and y is the output.
In the fourth equation, x depends on what value of y you use. The way it is written, y is the input and x is the output.
In the last equation, either x or y could be the input. The other variable would change depending on which variable you replace with a number.

6 0

4 years ago