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3 years ago

Find a nonzero function such that f′(x)=4f(x)

1 answer:

5 0

One nonzero function that satisfies fâ€˛(x)=4f(x) can be found by using the constant 'e' and its derivative rules. If we define f(x) = e^(4x), the first derivative f'(x) can be found via the chain rule to be 4*e^(4x) or the 4*f(x) as desired.

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Help out Aaaaaaaaaaaa

diamong [38]

Answer:

$y=\frac{6}{5}x-8$

Step-by-step explanation:

we know the slope (or m in y=mx+b) is 6/5 we just need to solve for b

we will do this by plugging in the required coordinates

-2=(6/5)*5+b

-2=6+b

-8=b

put it all together

7 0

3 years ago

Read 2 more answers

Consider the parametric equations below.

maksim [4K]

Solve the second equation for $t$ , then substitute it into the first equation.

$y = t + 2 \implies t = y-2$

$x = t^2 - 3 \implies \boxed{x = (y-2)^2 - 3}$

3 0

1 year ago

14,800 at 6% compounded semiannually for 4 years.. I need to know the interest and the compound amount

Zepler [3.9K]

$\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{compounded amount}\\
P=
\begin{array}{llll}
\textit{original amount}\\
\textit{deposited}
\end{array}\to &\$14,800\\
r=rate\to 6\%\to \frac{6}{100}\to &0.06\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{semi-annually, meaning twice}
\end{array}\to &2\\

t=years\to &4
\end{cases}$

now, that will give you "A", or the compounded amount

what's the interest earned? well, subtract the original amount, the Principal, from A, A - P, and you'd be left with the earned interest

--------------------------------------------------------------------------------------------
$\bf A=14,800\left(1+\frac{0.06}{2}\right)^{2\cdot 4}$

6 0

3 years ago

A person is training for a cross country and manages to run 2 miles in a time of 12 mins what was the runners average velocity i

spin [16.1K]

Answer:

10 miles per hour

Step-by-step explanation:

Average velocity=distance covered/time in hours

Distance=2 miles

time=12minute

change minutes to hour=12/60 =0.2hrs

v=2÷0.2

v=10miles per hour

5 0

3 years ago

Read 2 more answers

Which are the roots of the quadratic function f(b) = b2 – 75? Select two options.

beks73 [17]

Answer:

b =± 5 sqrt(3)

Step-by-step explanation:

f(b) = b^2 – 75

To find the roots set the equation equal to zero

b^2 -75 =0

Add 75 to each side

b^2 – 75+75 = 0+57

b^2 = 75

Take the square root of each side

sqrt(b^2) = ±sqrt(75)

b = ±sqrt(3*25)

We know that sqrt(ac) = sqrt(a) sqrt(c)

b = ±sqrt(3)*sqrt(25)

b =± 5 sqrt(3)

3 0

4 years ago