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3 years ago

The graph shows the number of paintballs a machine launches, y, in x seconds:

Mathematics

1 answer:

aalyn [17]3 years ago

5 0

The answer is B, 20 balls in 4 seconds. Or 5 balls per second.

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The formula for the area of a circle is A=pir^2. Find the area of a circle with a diameter of 6.4 centimeters. Use a calculator

Advocard [28]

A=pi(3.2)^2= 32.1699087728
A=32cm^2

3 0

3 years ago

Evaluate the integral. (sec2(t) i t(t2 1)8 j t7 ln(t) k) dt

polet [3.4K]

If you're just integrating a vector-valued function, you just integrate each component:

$\displaystyle\int(\sec^2t\,\hat\imath+t(t^2-1)^8\,\hat\jmath+t^7\ln t\,\hat k)\,\mathrm dt$

$=\displaystyle\left(\int\sec^2t\,\mathrm dt\right)\hat\imath+\left(\int t(t^2-1)^8\,\mathrm dt\right)\hat\jmath+\left(\int t^7\ln t\,\mathrm dt\right)\hat k$

The first integral is trivial since $(\tan t)'=\sec^2t$ .

The second can be done by substituting $u=t^2-1$ :

$u=t^2-1\implies\mathrm du=2t\,\mathrm dt\implies\displaystyle\frac12\int u^8\,\mathrm du=\frac1{18}(t^2-1)^9+C$

The third can be found by integrating by parts:

$u=\ln t\implies\mathrm du=\dfrac{\mathrm dt}t$

$\mathrm dv=t^7\,\mathrm dt\implies v=\dfrac18t^8$

$\displaystyle\int t^7\ln t\,\mathrm dt=\frac18t^8\ln t-\frac18\int t^7\,\mathrm dt=\frac18t^8\ln t-\frac1{64}t^8+C$

8 0

3 years ago

MDEG

Margaret [11]

The answer would be 84

5 0

2 years ago

Plz help I need help

AveGali [126]

<h2><u>Answer</u><u> </u><u>:</u></h2>

x + 23 = -22

x = ?

x = -22 - 23

x = - ( 22 + 23 )

x = -45

x = -45 ✔️

8 0

3 years ago

Among all positive numbers , whose sum is 12, find those for which the product of the two numbers and their difference is larges

Karolina [17]

Answer: The numbers whose sum equals 12 and whose product and difference is largest is 6 and 6

Step-by-step explanation:

numbers whose sum is 12

Sum =12 Product Difference Product- Difference

11 +1 11 10 1

10 +2 20 8 12

9 +3 27 6 21

8 +4 32 4 28

7 +5 35 2 33

6+6 36 0 36

The numbers whose sum equals 12 and whose product and difference is largest is 6 and 6

4 0

3 years ago