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LUCKY_DIMON [66]
3 years ago
7

Help plss!!show me how to do this and the answer for 20 or 15 points thx!

Mathematics
1 answer:
GarryVolchara [31]3 years ago
4 0
Let me show you a website that has saved my behind so many times in high-school...

https://www.cymath.com/

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Evaluate the integral. 3 2 t3i t t − 2 j t sin(πt)k dt
sveta [45]

∫(t = 2 to 3) t^3 dt

= (1/4)t^4 {for t = 2 to 3}

= 65/4.

----

∫(t = 2 to 3) t √(t - 2) dt

= ∫(u = 0 to 1) (u + 2) √u du, letting u = t - 2

= ∫(u = 0 to 1) (u^(3/2) + 2u^(1/2)) du

= [(2/5) u^(5/2) + (4/3) u^(3/2)] {for u = 0 to 1}

= 26/15.

----

For the k-entry, use integration by parts with

u = t, dv = sin(πt) dt

du = 1 dt, v = (-1/π) cos(πt).


So, ∫(t = 2 to 3) t sin(πt) dt

= (-1/π) t cos(πt) {for t = 2 to 3} - ∫(t = 2 to 3) (-1/π) cos(πt) dt

= (-1/π) (3 * -1 - 2 * 1) + [(1/π^2) sin(πt) {for t = 2 to 3}]

= 5/π + 0

= 5/π.

Therefore,

∫(t = 2 to 3) <t^3, t√(t - 2), t sin(πt)> dt = <65/4, 26/15, 5/π>.

3 0
3 years ago
16 17 18 number plz answer righg
marta [7]
What does this even mean
7 0
3 years ago
A factory produces bottled water at a rate of 2,000 cases per hour. They know that 1.14% of the cases must be rejected because a
IRINA_888 [86]
1.14 per 100 or 1.14:100 or \frac{1.14}{100}

\frac{1.14}{100} =  \frac{n}{2000}

I will multiply the numerator by 20 because multiplying by 20 is how 100 became 2000
22.8 cases are rejected per hour.
4 0
3 years ago
Assuming that one-pint is equal to 473 ml, how many pints can be found in 3 liters?
Svetlanka [38]
Given that 1 pint is equal to 437 ml
and 1000 ml=1 liter
then
1 pint =(437/1000) liters
simplifying we get:
1 pint= 0.437 liters
thus amount of pints in 4 liters will be:
4/0.473
=8.45666586
~8.5 pints
4 0
3 years ago
Evaluate 4p+q/p when p= -2 and q= -3 <br><br>a) -11/2<br> b) 9/2 <br>c) -9/2<br> d) 11/2​
Korolek [52]

Answer:

-11/2

Step-by-step explanation:

4 0
3 years ago
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