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2 years ago

How does the graph of f(x)=4cos(1/2x)-3 differ from the graph of g(x)=4cos(x)-3

Mathematics

1 answer:

raketka [301]2 years ago

6 0

Answer:

the period of the graph of 4cos(1/2x)-3 is twice as long as the period of 4cos(x)-3

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The circumference of a circle is 15n cm what is the area of the circle in terms of n

Mice21 [21]

Answer:

Area of circle is $\dfrac{225n^{2}}{4\pi} cm^{2}$

Step-by-step explanation:

Formula for circumference of circle is given as,

$C=2\pi r$

Given that C = 15 n cm,

Substituting the value,

$15n=2\pi r$

Solving above equation for r, divide both side by $2\pi$

$\dfrac{15n}{2\pi}=\dfrac{2\pi r}{2\pi}$

Simplifying,

$\dfrac{15n}{2\pi}=r$

Formula for area of circle is given as,

$A=\pi r^{2}$

Substituting the value of r,

$A=\pi \left(\dfrac{15n}{2\pi}\right)^{2}$

Squaring the parenthesis,

$A=\pi \left(\dfrac{225n^{2}}{4\pi^{2}}\right)$

Cancelling out the common term,

$A=\dfrac{225n^{2}}{4\pi}$

Therefore, area of circle in terms of n is $A=\dfrac{225n^{2}}{4\pi} cm^{2}$

5 0

4 years ago

Erica solved the equation −5x − 25 = 78; her work is shown below. Identify the error and where it was made. −5x − 25 = 78 Step 1

7nadin3 [17]

Answer:

she should have added 25, not subtracted 25

Step-by-step explanation:

6 0

4 years ago

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Help!!! (Brainlist!!!!!)

alexgriva [62]

I think it’s B if not I can’t tell because I can’t see all the questions .

4 0

3 years ago

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Find the interval on which the curve of y equals the integral from 0 to x of 2 divided by the quantity 1 plus 3 times t plus t s

elena-14-01-66 [18.8K]

$y=\displaystyle\int_0^x\frac2{1+3t+t^2}\,\mathrm dt$

By the fundamental theorem of calculus,

$\dfrac{\mathrm dy}{\mathrm dt}=\dfrac2{1+3x+x^2}$

then by standard differentiation,

$\dfrac{\mathrm d^2y}{\mathrm dt^2}=-\dfrac{6+4x}{(1+3x+x^2)^2}$

$y$ is concave upward whenever $\dfrac{\mathrm d^2y}{\mathrm dt^2}>0$ . The denominator is always positive, so the sign is determined by the numerator alone:

$6+4x>0\implies x>-\dfrac32$

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3 years ago

In at least one complete sentence, explain why the graph of y = 2x+1 does not go through

Crazy boy [7]

Answer:

The graph of y = 2x+1 will never go through the point (2,3) because the graph is a linear function which means it goes in a straight line. Knowing this, when y = 3, x = 5 this means that the function will never hit (2,3)

3 0

3 years ago

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