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Paul [167]
2 years ago
13

1.

Mathematics
1 answer:
Brilliant_brown [7]2 years ago
4 0
I got -8 for my answer
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The function f is continuous on the closed interval [1,15] and has the values shown on the table above. Let g(x) = ∫f(t) dt [1,x
Anna11 [10]
We're looking for the two values being subtracted here. One of these values is easy to find:

<span>g(1) = ∫f(t)dt = 0</span><span>
since taking the integral over an interval of length 0 is 0.
 
The other value we find by taking a Left Riemann Sum, which means that we divide the interval [1,15] into the intervals listed above and find the area of rectangles over those regions:

</span><span>Each integral breaks down like so:

(3-1)*f(1)=4

(6-3)*f(3)=9

(10-6)*f(6)=16

(15-10)*f(10)=10.

So, the sum of all these integrals is 39, which means g(15)=39.
 
Then, g(15)-g(1)=39-0=39.
</span>
I hope my answer has come to your help. God bless and have a nice day ahead!
3 0
3 years ago
Read 2 more answers
Given that f(x) = x2 + 10x + 21 and g(x) = x + 7, find (f•g)(x) and express
sammy [17]

Answer:

<h2>(f.g)x =  {x}^{2}  + 24x + 140</h2>

Step-by-step explanation:

given \\ f(x) = x ^{2}  + 10x + 21 \: and \: g(x) = x + 7

as \: we \: know \: (f.g)x \: is \: same \: as

f(g(x))

so \:

f(x + 7) = ( x + 7) ^{2}  + 10(x + 7) + 21

f(x + 7) =  {x}^{2}  + 14x + 49 + 10x + 70 + 21

f(x + 7) = x^{2}  + 24x + 140

therefore

(f.g)x =  {x}^{2}  + 24x + 140

3 0
3 years ago
What is 35 percent of 63?<br> O 1.8<br> O 3.15<br> O 18.9<br> O 22.05
Softa [21]

Answer:

22.05

Step-by-step explanation:

i used a calculator

8 0
3 years ago
The annual rent of a room in Kathmandu is 60000. Find the rent of five months.​
Oksanka [162]

Answer:

the rent room in Kathmandu =60000

the rent of five is =5×60000

the total value=300000

5 0
2 years ago
Read 2 more answers
A pretzel recipe calls for 3.325
Zepler [3.9K]

Answer: 0.35

Step-by-step explanation:

3.325 divided by 9.5 = 0.35

3 0
2 years ago
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