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3 years ago

The table below shows the values of y for different values of x:

1 answer:

3 0

Y = 3x

Putting (0,0)
the equation is satisfied.

Putting (1,3)
3 = 3(1) , satisfied

Putting (2,6)
6 = 3(2), satisfied

Putting (3,9)
9 = 3(3), satisfied

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The slope f′(x) at each point (x,y) on a curve y=f(x) is given, along with a point (a,b) on the curve. Use this information to f

Montano1993 [528]

$f'(x)=\dfrac{4x}{1+7x^2}$

Integrating gives

$f(x)=\displaystyle\int\frac{4x}{1+7x^2}\,\mathrm dx$

To compute the integral, substitute $u=1+7x^2$ , so that $\frac27\,\mathrm du=4x\,\mathrm dx$ . Then

$f(x)=\displaystyle\frac27\int\frac{\mathrm du}u=\frac27\ln|u|+C$

Since $u=1+7x^2>0$ for all $x$ , we can drop the absolute value, so we end up with

$f(x)=\dfrac27\ln(1+7x^2)+C$

Given that $f(0)=10$ , we have

$10=\dfrac27\ln1+C\implies C=10$

so that

$\boxed{f(x)=\dfrac27\ln(1+7x^2)+10}$

7 0

3 years ago

2,167 divided by 6 equals

muminat

361.16 repeating I used my calculator

5 0

2 years ago

What is the range of 0, 0, 4, 6, 6, 8

earnstyle [38]

Your range is 8

take your largest minus the smallest

8-0=8

hope this helps

3 0

3 years ago

Read 2 more answers

4)^-5 write in a simplified fraction

erastova [34]

$\bf 4^{-5}?\qquad \textit{well, bear in mind that}\\
----------------------------\\
a^{-{ n}} \implies \cfrac{1}{a^{ n}}\qquad \qquad

\cfrac{1}{a^{ n}}\implies a^{-{ n}}
\\ \quad \\
% negative exponential denominator
a^{{ n}} \implies \cfrac{1}{a^{- n}}
\qquad \qquad 

\cfrac{1}{a^{- n}}\implies \cfrac{1}{\frac{1}{a^{ n}}}\implies a^{{ n}}\\
----------------------------\\
thus\implies 4^{-5}\implies \cfrac{1}{4^{+5}}\implies \cfrac{1}{4^5}\implies \cfrac{1}{1024}$

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3 years ago

If a 1x1 foot tile costs 3.50 each ,how much will it cost mr teal?

Nonamiya [84]

Answer:

Hope this helps.

Step-by-step explanation:

When measuring for floor tile the rule is:

Length x Width + Waste = Amount Needed

Waste Factor will vary based upon tile size, layout, configuration of room, patterns, etc. Typical waste factor is about 10%. Add 15% for tile being installed diagonally or for a room with lots of jogs and corners. These installations will require more cuts and thus more waste.

3 0

3 years ago