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
MA_775_DIABLO [31]
3 years ago
10

Please explain how - calc ab - see attached photo

Mathematics
1 answer:
baherus [9]3 years ago
4 0

Answer:

D

Step-by-step explanation:

Set up to different integrals that match the endpoints

so in our case it would look like

\int\limits^0_{-2} {x} \, dx +\int\limits^1_0 {x+1} \, dx

now it's just a matter of computing it

\int\limits^0_{-2} {x} \, dx =x^2\\0^2-(-2)^2=4\\\int\limits^1_0 {x+1} \, dx =\frac{x^2}{2}+x\\\frac{1}{2}+1-0=\frac{3}{2}\\\frac{3}{2}+4=\frac{11}{2}

You might be interested in
What is the derivative of y with respect to x if y = 2/X4
zepelin [54]
You're correct, the answer is C.

Given any function of the form y=x^n, then the derivative of y with respect to x (\frac{dy}{dx}) is written as:
\frac{dy}{dx}=nx^n^-^1

In which n is any constant, this is called the power rule for differentiation.

For this example we have y= \frac{2}{x^4}, first lets get rid of the quotient and write the expression in the form y=x^n:
y= \frac{2}{x^4} =2x^-^4

Now we can directly apply the rule stated at the beginning (in which n=-4):
\frac{dy}{dx}=(2)(-4)x^{-4-1}=-8 x^{-5}= -\frac{8}{x^5}

Note that whenever we differentiate a function, we simply "ignore" the constants (we take them out of the derivative).
6 0
3 years ago
Can<br> You<br> Help me<br> It’s hard
anyanavicka [17]

Answer:

16.8 + (-18.6)

Step-by-step explanation:

A subtraction symbol and adding a negative are the same

8 0
3 years ago
Read 2 more answers
If angle DAB measures 34 degrees, what is the measure of arc DB
ollegr [7]
Arc DB will also measure 34 degrees.
4 0
3 years ago
Moving left 5 units would be shown as 'x+5'<br> True<br> False
lawyer [7]

Answer:

true

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Please helpp<br> . What is the area of the blue figure? *
antiseptic1488 [7]

Answer:

465.5

Step-by-step explanation:

If you plug in the numbers into the formula.

base 1= 15

base 2= 34

height= 19

3 0
3 years ago
Read 2 more answers
Other questions:
  • What substituiton should be used to rewrite 16(x^3+1)^2-22(x^3+1)-3=0 as a quadratic equation?
    9·1 answer
  • Need help don't know this but need help from other
    6·2 answers
  • Lara reads 10 chapters in 4 hours. At this pace, how long will it take her to read 25 chapters? Enter your answer in the box.
    12·2 answers
  • In a recent​ year, 304 of the approximately​ 300,000,000 people in the United States were struck by lightning. Estimate the prob
    10·2 answers
  • What is the volume of 10 feet 6 feet and 8 feet
    5·1 answer
  • The figure shows the graph of image, a translation of the parent function g(x) = . How is the graph of the parent function trans
    10·2 answers
  • Please help with math
    10·1 answer
  • At Peyton's store, she sells blue shoes for $39.00 a pair and red shoes for $34.30 a pair. Peyton has already sold four pairs of
    6·1 answer
  • What is the quotient? −4 1/2÷(−2 2/3)
    5·1 answer
  • Hi i'm stup*d at math and im not sure :(
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!