3 years ago

Help ill give you Brainliesttt ‼️‼️‼️‼️‼️‼️

Mathematics

1 answer:

Lesechka [4]3 years ago

5 0

Answer:

Step-by-step explanation:

+ we take t- number of tickets and each ticket cost $7.

So t is too the number of people who buy tickets, then

$0\leq t\leq 200$

A) We can calculate the amount of money: M= 7t where $0\leq t\leq 200$

B) The domain for t is $0\leq t\leq 200$ , t is an integer.

C) The range for the amount M:

$0*7\leq M\leq 200*7\\0\leq M\leq 1400$

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Evaluate the line integral, where c is the given curve. c y3 ds,

postnew [5]

Parameterizing $\mathcal C$ by

$\mathbf r(t)=(t^3,t)$

with $0\le t\le2$ , we have

$\mathrm ds=\|\mathbf r'(t)\|\,\mathrm dt=\sqrt{(3t^2)^2+1^2}\,\mathrm dt=\sqrt{9t^4+1}\,\mathrm dt$

So

$\displaystyle\int_{\mathcal C}y^3\,\mathrm ds=\int_{t=0}^{t=2}t^3\sqrt{9t^4+1}\,\mathrm dt$
$=\displaystyle\frac1{36}\int_0^236t^3\sqrt{9t^4+1}\,\mathrm dt$
$=\displaystyle\frac1{36}\int_{u=1}^{u=145}\sqrt u\,\mathrm du$
$=\dfrac{145^{3/2}-1}{54}$

5 0

3 years ago

Solve for x<br> 8x = y<br> PLEASE HELPPPPPP

svlad2 [7]

Hi ;-)

$8x=y \ \ /:8\\\\\boxed{x=\frac{y}{8}}$