1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
emmasim [6.3K]
3 years ago
13

Consider the function g(x)=5x2−18x+35. find the area under the curve g(x) from x = 0 to x = 13 and then subtract from it the are

a under the same curve g(x) from x = 0 to x=1. what is the difference?
Mathematics
1 answer:
Black_prince [1.1K]3 years ago
8 0
We integrate the given equation such that,

    integral of g(x) = (5/3)x³ - 9x² + 35x

Substituting,
   x = 13
    integral of g(x) = (5/3)(13³) - 9(13)² + 35(13) 
                  = 2595.67

and,   x = 0
   integral of g(x) = 0
  
 The area is 2595.67 - 0 = 2595.67

For the second part,
   x = 1
  integral of g(x) = (5/3)(1)³  - 9(1)² + 35(1)  
             = 27.67

Area under the curve between x = 0 and x = 1 is 27.67


The difference between the two areas is,
    2595.67 - 27.67 = 2568.0

Answer: 2568.0 units squared
You might be interested in
Dr. Montgomery recently graduated from medical school and his wife bought him an engraved stethoscope. The stethoscope cost $160
Dima020 [189]

Answer:

$172.80

Step-by-step explanation:

$160.00 x 1.08=$172.80

3 0
3 years ago
Given the Arithmetic series A 1 + A 2 + A 3 + A 4 A1+A2+A3+A4 14 + 18 + 22 + 26 + . . . + 86 What is the value of sum?
postnew [5]

Answer:

950

Step-by-step explanation:

The common difference is 4, so the general term can be written:

... an = 14 + 4(n -1)

The value of n for the last term is ...

... 86 = 14 + 4(n -1) . . . . . the computation for the last term, 86

... 72 = 4(n -1) . . . . . . . . . subtract 14

... 18 = n -1 . . . . . . . . . . . divide by 4

... 19 = n . . . . . . . . . . . . . add 1

Your series has 19 terms. The first term is 14 and the last is 86, so the average term is (14+86)/2 = 50. Since there are 19 terms, the sum of them is ...

... 19×50 = 950

7 0
3 years ago
Four time the sum of five and ten is what
frozen [14]
The answer is sixty!
4(5+10)
4(15)
60
3 0
3 years ago
Read 2 more answers
15
-BARSIC- [3]
Then its not a polygon
5 0
2 years ago
Thomas decided to take the plane to save some time. Unfortunately, the plane was delayed for 1 5/6 hours. How long did the trip
seraphim [82]

Answer:

<u>Finally, the trip of Thomas will take an hour and fifty minutes more than the normal time it usually takes.</u>

Step-by-step explanation:

1. Let's check all the information provided to answer the question:

Time of Thomas flight delay = 1 5/6 hours

Time of normal flight = x hours

2. How long did the trip finally take?

For calculating how long the trip finally took, we need to do the following sum:

Time of normal flight + Time of delay

Like we don't know the time of the normal flight, we will define it as x, then:

x + 1 5/6 hours

x + 1 hour and 50 minutes ⇒ 5/6 of an hour = 5/6 * 60 minutes = 50 minutes

<u>Finally, the trip of Thomas will take an hour and fifty minutes more than the normal time it usually takes.</u>

7 0
3 years ago
Other questions:
  • What is the value of x in the equation 1.5(x + 4) - 3 = 4.5(x - 2)?
    9·1 answer
  • What is 5 times 5 <br> and also what is 5 plus 5 bc im rly silly
    7·1 answer
  • Which answer explains the type of sequence
    14·1 answer
  • Find three positive consecutive integers such that the product of the second integer and the third integer is 72
    5·2 answers
  • She purchased 40% of the copies in the store. She has 80 copies of the cd. How many cd were on sale
    7·1 answer
  • If r(x) = 2 – x2 and w(x) = x – 2, what is the range of ? (w0r)(x)
    8·2 answers
  • How does the model show 15-6? Choose the numbers that make the number sentences .circle numbers in the boxes.
    7·1 answer
  • What is the probability that they both choose a card labeled dog?
    15·1 answer
  • Jane moved from a house with 72 square feet of closet space to an apartment with 44.64 square feet of closet space. What is the
    14·1 answer
  • What is -3/5 multiplied by 4/7?<br> Pls show answer with step by step answers explained pls
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!