3 years ago

I need help with 3 and 4 please

Mathematics

1 answer:

STatiana [176]3 years ago

4 0

Answer:

How are we suppose to answer this on this website?

Step-by-step explanation:

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In the mall 1/15 of the stores sell shoes. There are 180 stores in the mall. How many of the stores sell shoes.

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Answer:

12 stores

Step-by-step explanation:

180 * 1/15 = 180/15 = 12

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Every summand of an expression is called a???

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1 year ago

Write the integral that gives the length of the curve y = f (x) = ∫0 to 4.5x sin t dt on the interval [0,π].

Troyanec [42]

Answer:

Arc length $=\int_0^{\pi} \sqrt{1+[(4.5sin(4.5x))]^2}\ dx$

Arc length $=9.75053$

Step-by-step explanation:

The arc length of the curve is given by $\int_a^b \sqrt{1+[f'(x)]^2}\ dx$

Here, $f(x)=\int_0^{4.5x}sin(t) \ dt$ interval $[0, \pi]$

Now, $f'(x)=\frac{\mathrm{d} }{\mathrm{d} x} \int_0^{4.5x}sin(t) \ dt$

$f'(x)=\frac{\mathrm{d} }{\mathrm{d} x}\left ( [-cos(t)]_0^{4.5x} \right )$

$f'(x)=\frac{\mathrm{d} }{\mathrm{d} x}\left ( -cos(4.5x)+1 \right )$

$f'(x)=4.5sin(4.5x)$

Now, the arc length is $\int_0^{\pi} \sqrt{1+[f'(x)]^2}\ dx$

$\int_0^{\pi} \sqrt{1+[(4.5sin(4.5x))]^2}\ dx$

After solving, Arc length $=9.75053$

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The points (-2, 1) and (3, y) have a slope of -3. Find the y coordinate of the point.

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Answer:

Y= -15

Step-by-step explanation:

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