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4 years ago

Find the value of tan θ given cot θ=5/7.

1 answer:

4 0

$\bf cot(\theta )=\cfrac{1}{tan(\theta )}\\\\
-------------------------------\\\\
cot(\theta )=\cfrac{5}{7}\implies \cfrac{1}{tan(\theta )}=\cfrac{5}{7}\implies \cfrac{7}{5}=tan(\theta )$

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Write a word phrase for p ÷ 3.

Arisa [49]

"P" divided by three <span />

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4 years ago

How do I solve this using the substitution method for finding anti derivatives?

rewona [7]

A bit blurry, but if I'm making it out correctly, that's

$\displaystyle\int t\sqrt{(t^2-9)^3}\,\mathrm dt=\int t(t^2-9)^{3/2}\,\mathrm dt$

Set $u=t^2-9$ . Then $\mathrm du=2t\,\mathrm dt$ , or $t\,\mathrm dt=\dfrac{\mathrm du}2$ . The integral is then equivalent to

$\displaystyle u^{3/2}\dfrac{\mathrm du}2=\frac12\int u^{3/2}\,\mathrm du$
$=\dfrac12\dfrac{u^{5/2}}{\frac52}+C$
$=\dfrac12\times\dfrac25u^{5/2}+C$
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3 years ago

What is the surface area of a cylinder with radius x + 3 and height x + 11?

vova2212 [387]

Answer:

A≈263.89

Step-by-step explanation:

Solution

A=2πrh+2πr2=2·π·3·11+2·π·32≈263.89378

6 0

3 years ago

For the following exercises, evaluate the function at the indicated values:

STALIN [3.7K]

Answer:

The evaluated function for the indicated values is given below.

The value of f(-3) is 20 .

The value of f(2) is 10 .

The value of f(-a) is $2|-3 a-1|$ .

The value of -f(a) is $-2|3 a-1|$ .

The value of f(a+h) is $2|3 a+3 h-1|$ .

Step-by-step explanation:

A function $f(x)=2|3 x-1|$ is given.

It is required to evaluate the function at $f(-3) ; f(2) ; f(-a) ;-f(a) ; f(a+h)$ .

To evaluate the function, substitute the indicated values in the given function to determine the output values and simplify the expression.

Step 1 of 5

The given function is $f(x)=2|3 x-1|$ .

To evaluate the function at f(-3), substitute -3 in the given function $f(x)=2|3 x-1|$\\ $f(-3)=2|3(-3)-1|$\\ $f(-3)=2|-9-1|$\\ $f(-3)=2|-10|$\\ $f(-3)=2(10)$\\ $f(-3)=20$$