find the absolute maximum and the absolute minimum of the given function on the given interval f(x)=xe^x/2 on [-3,1]
Answers
Answer:
View the graph for a visual
Step-by-step explanation:
Answer:
Step-by-step explanation:
[tex]f(x)=xe^{\frac{x}{2} } \\f'(x)=x*\frac{1}{2} e^{\frac{x}{2} } +e^{\frac{x}{2} } =e^{\frac{x}{2} } (\frac{x}{2} +1)\\[/tex]
f'(x)=0, gives x=-2
we find f(x) at x=-3,-2,1
f(-3)=-3e^(-3/2)≈-0.67
f(-2)=-2e^(-2/2)=-2e^{-1}=-2/e≈-0.74
f(1)=1 e^(1/2)=√e≈1.65
Related Questions
Which of the following represents the ratio of the given side to the
hypotenuse?
HELP if you’re good at GEOMETRY!!
Answers
The
Slope
a line that goes
through the points (r, 6 ) and (4,2
is 4 find r
Answers
(2-6). -4
—— = ——-
(4-r). (This has to be -1 for the answer to be 4)
4-5=-1
So r=5
If 8 x - 4 = 6 - 3 x then x =
Answers
Answer:
x = 10/11
Step-by-step explanation:
Your welcome! :)
Can any one help?
Solve the following equations:
Answers
Answer:
2- x=16/3 or 5.3
4- x=8
Step-by-step explanation:
yeah
What is the measure of each angle of a regular 24-gon? If necessary, round to the
nearest tenth.
Answers
Answer:
165°
Step-by-step explanation:
Find the interior angle measure by using the formula, ((n - 2) x 180°) / n
Plug in 24 as n:
((n - 2) x 180°) / n
((24 - 2) x 180°) / 24
(22 x 180°) / 24
3960 / 24
= 165
So, the measure of each angle is 165°
Answer:
163.6
Step-by-step explanation:
180•(22-2)=180•20 =3600
3600/22= 163.636363…
HELP ASAP!!!
(Question and answers pictured)
Answers
9514 1404 393
Answer:
(d) reflection about the x-axis, up 6 units
Step-by-step explanation:
The parent function y=1/x is multiplied by -1, which reflects it over the x-axis. Then 6 is added, which shifts it up 6 units.
The transformations are ...
reflection about the x-axis, up 6 units
Anyone know this? Please help
Answers
C
Explanation
Because i said so
Sum of all edges of all shape
Answers
Answer:
Infinient amount buddy. They are infinent amounts of polygons, as a polygon is a shape with more then 3 sides and closed. This means as long as a number is bigger then 3, there will be a shape for it, so infinent sides
Step-by-step explanation:
You have 3 five dollar bills and 4 ten dollar bills in your pocket. If you pull out 2 bills, what is the probability they are both tens?
Answers
Answer: I think its 4%
Step-by-step explanation: 3+4=7 7/2=3.5
Answer:
1/14
Step-by-step explanation:
Question 6. * The number of likes a social media post has generated has been tracked as a function of the number of min since it was posted. The data is shown in the table below, where t is the number of minutes and I is the number of likes. If an exponential model was used to fit this data, which of the following would be closest to its prediction for the number of likes after one hour
Answers
Answer:
Step-by-step explanation:
yes
All of the benches in a park are red or blue. The ratio of red benches to blue benches in the park is 3 : 4. Based on this information, which of the following statements is true?
A. For every 4 benches in the park, 3 are red.
B. For every 7 benches in the park, 4 are red.
C. For every 3 red benches in the park, there are 4 blue benches.
D. For every 3 red benches in the park, there are 7 blue benches.
(I'll give brainly, likes, follow, etc for anybody who answers this question with some explanation.)
Answers
Answer:
The answer is C
Step-by-step explanation:
3 : 4
^ ^
II II
red blue
work out 8^1/3
^1/3 = power
Answers
Answer:
8/9 (decimal: 0.888889)
Answer:
[tex]2[/tex]
Two is the answer.
Step-by-step explanation:
simple explanation is; when you go through your two times table.. in order to arrive at eight, (8), you have to mention or go through 3 numbers
Or .... cube root of 8 is two..
PLEASE MARK ME BRAINIEST
What is the solution to -2(8x - 4) < 2x + 5?
Answers
Answer:
See image below:)
Step-by-step explanation:
NEED HELP ASAP!!
use the vertical line test to determine if the relation whose graph is provided is a function
(graph and answers pictured)
Answers
Answer:
Yes, this graph represents a function
Step-by-step explanation:
The function passes the vertical line test, which tests for if any input has more than one unique output by moving a vertical line from left to right. If the vertical line doesn't pass 2 or more points at a time, then the function is indeed a function.
Answer:
The graph does represent a function
Step-by-step explanation:
The function is at about 30y = x^3
An object dropped from a height of 500 feet has a height, h(t), in feet after t seconds have elapsed, such that h(t)=500−16t^2. Express t as a function of height h, and find the time to reach a height of 100 feet
Answers
Step-by-step explanation:
the answer is in the above image
Researchers at a medical school conducted a study to test the effectiveness of a new drug for lowering cholesterol. The 52 subjects who volunteered for the study were each given a randomly generated number. Subjects with an odd number were given the new drug, while those with an even number were given a placebo. Cholesterol levels before and after the treatment were measured for each subject, and the differences were computed.
This study is an example of ______________ study. The difference in cholesterol level is _____________ the variable. The treatment with drug or placebo is the ____________ variable.
Answers
Answer:
1. An Experimental
2. Dependent
3. Independent
Step-by-step explanation:
Considering the description of how the research was carried out, it can be concluded that This study is an example of AN EXPERIMENTAL study. This because the researcher is trying to study the effectiveness of a new drug for lowering cholesterol
The difference in cholesterol level is the DEPENDENT variable. This is because the difference in cholesterol level is what the researcher wants to determine.
The treatment with a drug or placebo is the INDEPENDENT variable. This is because this is what the researcher manipulates to determine the difference in cholesterol level which is the dependent variable in this experimental study.
Jenny made $35,000 in taxable income last year suppose the income tax rate is 10% for the first 9000+16% for the amount over 9000 how much money is jenny pay in income tax for last year
Answers
Answer:
for the first 9000 $ tax rate is 10%
so tax = 10% of 9000 = 900
rest of the amount = 35000-9000 =26000
tax rate is 16%
tax on 26000 = 16% of 26000 = 3900
total tax Debra has to pay for last year = 900 + 3900 = $4800
Step-by-step explanation:
Answer:
900+3900=$4800
#CarryOnLearning
In the figure below, which term best describes point R?
A. Orthocenter
B. Centroid
C. Incenter
D. Circumcenter
Answers
Orthocenter is the best term to describes point R in the triangle UVW.
What is orthocenter?" Orthocenter is defined as intersecting point of the altitudes of the sides of the acute angle triangle."
According to the given figure,
In triangle UVW,
Ray VR perpendicular to UW
Ray UR perpendicular to VW
Ray WR perpendicular to UV
Altitudes of side ( UV , VW, and WU) of triangle UVW intersect at
point R.
As per the definition of orthocenter , point R represents orthocenter.
Hence, orthocenter is the best term to describes point R in the triangle UVW.
Learn more about orthocenter here
https://brainly.com/question/19763099
#SPJ2
3. Find the value of:
a) 9²
b) 15²
c) (0.2)²
d) (0.7)
Answers
Answer:
Step-by-step explanation:
9^2
=9*9
=81
15^2
=15*15
=225
(0.2)^2
=0.2 * 0.2
=0.04
(0.7)
=0.7
What is the perimeter of the trapezoid? In unit
Answers
Answer:
20 units
Step-by-step explanation:
the perimeter = 7+4+4+5 = 20 units
find the mesure of angle b
Answers
Answer:
It's C
Step-by-step explanation:
because there is a 90 degrees sigh behind it and those two angles need to add up to 90
Answer:
31
Step-by-step explanation:
b+59=90
b=90-59
b=31
hope it helps
Which expression is equivalent to
^3 sqrt 1/1000 c^9 d^12
Answers
Answer:
[tex] \sqrt[3]{ \frac{1}{1000} {c}^{9} {d}^{12} } \\ = \frac{1}{10} {c}^{3} {d}^{4} [/tex]
If the ratio of paintings to paintbrushes is 11:9, what percent of the items are paintbrushes. A.30% B. 35% C.40% D.45%
Answers
Answer:
D. 45%
Step-by-step explanation:
there are 11 paintings and 9 paintbrushes, added together you have a total of 20 items. There are 9 paintbrushes and 20 items in total which is 9/20. 9/20 as a percentage is 45%
What is the slope of the line that contains the points (-1,-1) and (3, 15)?
O A.
1
4
B. 4
O C. -
4
D. -4
Answers
Answer:
its b
Step-by-step explanation:
Three relatives will share an inheritance of 196,800 in the ratio of 3 to 7 to 2. How many dollars of the inheritance will each of the relatives receive?
Answers
Answer:
49200
114800
32800
Step-by-step explanation:
196800/12=ans
ans * 3
ans * 7
ans * 2
Five schools are going to send their baseball teams to a tournament, in which each team must play each other team exactly once. How many games are required
Answers
Answer:
20 games are required to be play
Please help me!! i have no clue how to do this unit :(
Answers
Answer:
the area is 27
Step-by-step explanation:
Answer:
the base of this shape is 6
lets break it up into a rectangle and a triangle
the rectangle is 6(base) time 3(height)=18
the triangle is 6(base) times 3(height) divided by two = 9
18 plus 9 = 27
PLEASE HELP ASAP!!! WILL MARK BRAINLIEST !!
Answers
Answer:
CA = LJ
Step-by-step explanation:
The third side
CA = LJ
Answer:
CA=LG is correct answer
I need the answers Anyoneeee
Answers
(Will mark brainlest ) help me to find the value of x or theta (step by step)
Answers
Answer:
X = 6
Step-by-step explanation:
sin○ = opposite side/hypotenuse
sin 45 = 3 root2/x
1/root2 = 3 root2/x
x = 3 × 2
x = 6
Answer:
x=6 cm
Step-by-step explanation:
take 45 degree as reference angle
using sin rule
sin 45 =opposite/hypotenuse
[tex]\frac{1}{\sqrt{2} } =\frac{3\sqrt{2} }{x}[/tex]
do cross multiplication
[tex]x=\sqrt{2} * 3\sqrt{2}[/tex]
x=6
