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
musickatia [10]
3 years ago
14

ts^3_t{|x+2|} \, dx " alt=" \int\limits^3_t{|x+2|} \, dx " align="absmiddle" class="latex-formula">

where t = - 3
Mathematics
1 answer:
photoshop1234 [79]3 years ago
7 0
\displaystyle\int_{-3}^3|x+2|\,\mathrm dx

Recall the definition of absolute value:

|x|=\begin{cases}x&\text{for }x\ge0\\-x&\text{for }x

So we can split up the integration interval at x=-2 and apply this definition to rewrite the integral as

\displaystyle\int_{-3}^{-2}(-(x+2))\,\mathrm dx+\int_{-2}^3(x+2)\,\mathrm dx
=\displaystyle-\int_{-3}^{-2}(x+2)\,\mathrm dx+\int_{-2}^3(x+2)\,\mathrm dx
=-\left(\dfrac12x^2+2x\right)\bigg|_{x=-3}^{x=-2}+\left(\dfrac12x^2+2x\right)\bigg|_{x=-2}^{x=3}
=\dfrac12+\dfrac{25}2=13
You might be interested in
2 (-4) (-5) =<br> Whats the awnser cause my brain cant HANNDLE THIS
Ganezh [65]

Answer:

40

Step-by-step explanation:

2 x -4 x -5 = 2 x 20 = <u>40</u>

5 0
3 years ago
Will give brainliest plzzzzz.Which statement justifies why ∠EBC measures 90°? Given: angles ABD and DBC are complementary Point
Anettt [7]

Answer:

he sum of the measures of two complementary angles is 90 degrees

Step-by-step explanation:

we know that

If two angles are complementary, then their sum is equal to 90 degrees

In this problem we have that

m∠ABD and m∠DBC are complementary

so

m∠ABD + m∠DBC=90° -----> by complementary angles

and

(m∠ABD + m∠DBC)+m∠EBC=180° -----> by a linear pair

Find the measure of angle EBC

substitute the given values

(90°)+m∠EBC=180°

∠EBC=180°-90°=90°

5 0
3 years ago
When a number is raised to the 6th power, it equals 90. What is this number, and write it using the root symbol ...?
balandron [24]
6√90 = <span>2.11693286302546
So, this number to the power of six equals 90. 
</span><span>2.11693286302546^6 = 90
</span>
The correct answer is <span>2.11693286302546. </span>
6 0
3 years ago
A piggy bank contains 80 nickels and dimes the value of the coins is 5.15
dimaraw [331]
Answer: the amount of dimes is $1.15 this is also equivalent to 11 dimes and an extra nickel.

Explanation:

80 nickels =$4.00
$5.15-$4.00= $1.15
11 dimes= $1.10
1 nickel= $0.05
$1.10+$0.05= $1.15


hope this helps! :)
5 0
3 years ago
How to solve 1300 ÷ 26 by using multiplication
aleksley [76]
You multiply 26 x 50 that equals 1,300
8 0
3 years ago
Other questions:
  • Which value of m satisfies the inequality 170-7m 99?<br><br> 10<br> 12<br> 14<br> 15
    6·2 answers
  • The table shows the dimensions of 4 different rectangles. Each rectangle has an area of 36 square centimeters.
    9·2 answers
  • If two is subtracted from four times a certain number, the result is 18. Find the number.
    7·2 answers
  • the function f(x)=40x-80 models the number of visitors a website received x days after it was created. Which is the most appropr
    11·1 answer
  • Isaac and his wife received an award of $ 9,000 each for their work as researchers.
    9·1 answer
  • Write equivalent fractions for 11/12 and 9/10 using the least common denominator
    15·2 answers
  • Mr browner has 7 keys, one for his home 2 for his car and the rest are for his drawers in his office. if he picks up 1 without l
    13·2 answers
  • Keegan is building a rectangular play area in his back yard for his dog. The length of the rectangle is 30 feet and the width is
    9·1 answer
  • I REALLY NEED HELP PLS I NEED THIS DONE TODAY!!! JUST LOOK AT THE PICTURE!!!
    11·1 answer
  • What is the smallest integer k&gt;2000 such that both 17k/66 and 13k/105} are terminating decimals?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!