The definite integral ∫π/4 to π/2 csc(t) cot(t) dt is undefined.
To see why, note that csc(t) = 1/sin(t), which is undefined at t = π/2. Therefore, the integrand is undefined at t = π/2, making the definite integral undefined as well.
Alternatively, we can use the fact that the integral of csc(t) from π/4 to π/2 is divergent (i.e., it does not converge to a finite value) to show that the integral of csc(t) cot(t) from π/4 to π/2 is also divergent.
To see this, we can use the identity csc(t) cot(t) = 1/sin(t) * cos(t)/sin(t) = cos(t)/sin^2(t). Then, using the substitution u = sin(t), du/dt = cos(t) dt, we can write the integral as:
∫π/4 to π/2 csc(t) cot(t) dt = ∫1/√2 to 1 cos(u)/u^2 du
Since the integral of cos(u)/u^2 from 1 to infinity is divergent, the integral of cos(u)/u^2 from 1/√2 to 1 is also divergent. Therefore, the definite integral ∫π/4 to π/2 csc(t) cot(t) dt is undefined.
To know more about definite integral refer here :
https://brainly.com/question/29974649#
#SPJ11
what is the main difference when finding an inverse and solving a square root equation?
If flx) = 2x – 6 and g(x) = x-2x?, find each value.
Answer:
The question is not correct. you have two linear functions. do you want to know their intersection point?
Step-by-step explanation:
[tex]f(x)=2x-6\\[/tex]
[tex]2x-6=0[/tex]
[tex]2x=6[/tex]
[tex]\frac{2x}{2} =\frac{6}{2\\}[/tex]
x=3
Then you just plug into g(x)
[tex]g(x)=x-2x[/tex]
[tex]g(x)=3-2(3)\\[/tex]
[tex]g(x)= 3-6[/tex]
So,
f(x)=3
g(x)=-3
Solve the equation: 2(d-3)+2=14 d=
Answer:
Hello! :) have a good day!
D=9
Answer: d = -1/3
Step-by-step explanation:
1. The surface area of a cube whose edges have lengths of 5 inches each is equal to which of the
following?
(1) 25 square inches
(2) 75 square inches
(3) 125 square inches
(4) 150 square inches
5 in
5 in
5 in
Answer:
150 square inches
Step-by-step explanation:
TSA=6a^2
6*5*5
is 150 square inches
Heyo! I need some help, please. What is the x coordinate if (x, 17) is on a line that passes through the points (1, 2) and (-1, -8) on a standard (x, y) coordinate plane?
Answer:
x = 4Step-by-step explanation:
The line with points (1,2) and (-1,-8). Work out its equation.
y = mx + bThe slope is:
m = (-8 - 2)/(-1 - 1) = -10/-2 = 5To find the y intercept, substitute x and y-xoordinates of point (1,2):
2 = 5(1) + b b = 2 - 5b = -3The line is:
y = 5x - 3Point (x, 17), substitute y-coordinate and solve for x
17 = 5x - 35x = 17 + 35x = 20x = 20/5x = 4Find the slope of the line that passes through (1, 1) and (-3, -5)
Answer:
3/2
Step-by-step explanation:
(1,1) and (-3,-5)
[tex]\frac{-5-1}{-3-1}[/tex]
Above is the difference of teh y values divided by the difference of x values
we get -6/-4 which is 3/2
The town's poplation in the year 2020 was 1,500 people,
The population has been increasing 3% each year.
What will the population be in the year 2025?
Answer:
1739
Step-by-step explanation:
(1+growth)^years
so
(1+.03)^5=1.159...
Multiply by 1500 = 1738.9.......
The radius of a circle is 12 in. Find its circumference in terms of T.
Answer:
T = 22/7*2*12
do the calculation by yourself
Answer:
75.4
Step-by-step explanation:
To get the circumference you have to multiply the diameter with pi.The radius is 12 and the diameter is the radius times 2 making the diameter 24. multiple 24 by pi and you'll get the circumference which is 75.39 which will be 75.4 when rounded
Jake needs more than 1 3/5 cups of flour to make cupcakes. Which is greater than 1 3/5? A) 8/5 B) 1 3/4 C) 1 2/5 D 1 3/8
Answer:
C) 1 3/4
Step-by-step explanation:
A) 1 3/5=1 12/20
B) 8/5=32/20=1 12/20
C) 1 3/4=1 15/20
D) 1 3/8=less than 1 3/4
Answer: Choice B) 1 & 3/4
============================================================
Work Shown:
Convert each fraction or mixed number into its equivalent decimal form. Use a calculator or long division.
1 & 3/5 = 1 + 3/5 = 1+0.6 = 1.68/5 = 1.61 & 3/4 = 1 + 3/4 = 1 + 0.75 = 1.751 & 3/8 = 1 + 3/8 = 1 + 0.375 = 1.375The decimal value 1.75 is larger than 1.6, so this shows that 1 & 3/4 is larger than 1 & 3/5
4. Gabby makes banana bread at her bakery every Monday and Wednesday. Her
banana bread calls for the ratio of ingredients shown
5 cups of sugar for every 50 tablespoons of butter
80 tablespoons of butter for every 32 bananas
Answer:
Top row: 3 cups, 30 tablespoons, 12 bananas
Second row: 7 cups, 70 tbs, 28 bananas
Step-by-step explanation:
The ratio is 5 (sugar) : 50 (butter)...
You can make the unit rate: 1 cup of sugar: 10 tbs of butter
Since the other ratio is 80 tbs : 32 bananas...
1 tbs : .4 bananas
So...
3 cups : 30 tbs
30 tbs : 12 bananas
28 bananas : 70 tbs
70 tbs : 7 cups
Hope this helps!!!
If you help me with this you get brainlisted (:
tbh I'm just lazy to do this lol-
Answer: point form
1. (6,24)
2.(-4,-12)
3.(3,15)
4. (-5,-20)
5. (2,4)
6.(-1,-4)
7.(-3,-9)
8.(-4,-8)
9.(3,9)
10.(-6,-30)
Step-by-step explanation:
Answer:
nice pfp and the anwser is under this sorry i dont know the y-4,7-3x,ect ones
Step-by-step explanation:
1.y=18
2.y=8
y=12
y=4 x=4
7=3
Shota tried to subtract two polynomials. His work is shown below: \begin{aligned} &\phantom{=}(12a^2+3ab+4b^2)-(7a^2-5ab+b^2) \\\\ &=12a^2+3ab+4b^2-7a^2+5ab-b^2&\text{Step }1 \\\\ &=(12+3)a^3+(3+4)b^3+(-7+5)a^3+(5-1)b^3&\text{Step }2 \\\\ &=15a^3+7b^3-2a^3+4b^3&\text{Step }3 \end{aligned} =(12a 2 +3ab+4b 2 )−(7a 2 −5ab+b 2 ) =12a 2 +3ab+4b 2 −7a 2 +5ab−b 2 =(12+3)a 3 +(3+4)b 3 +(−7+5)a 3 +(5−1)b 3 =15a 3 +7b 3 −2a 3 +4b 3 Step 1 Step 2 Step 3
Answer:
what-
in the world
Step-by-step explanation:
Karl wants to rent a bike for at most $55. He can rent a bike for $7 per hour plus a $9.50 flat fee. Any portion of an hour is charged as a full hour. What is the maximum number of hours Karl can rent the bike?
Three people attend a concert for $155. Ten attend the same concert for $470. Find the rate of change.
Answer: 45
Step-by-step explanation:
3 attend for $155 ($51.67 a piece)
10 attend for $470 ($47 a piece)
7 more attend/ adds $315
45 is the rate of change
the question is in the picture. it’s math.
Answer:
Step-by-step explanation:
1). (8x - 49)° = (5x + 23)°
8x - 49 = 5x + 23
3x = 72
x = 24
2). m∠VST + m∠SVU = 180°
(5(24) + 23)° + m∠SVU = 180°
m∠SVU = 180° - 143°
m∠SVU = 37°
m∠SVT = 37° - 20° = 17°
20 POINTS AND BRAINLIEST ONLY FOR CORRECT ANSWER
Given square ABCD. Two isosceles triangles ABP and BCQ are constructed with bases AB and BC . Each of these triangles has vertex angle of 80°. Point P lies in the interior of the square, while point Q lies outside of the square. Find the angle measure between PQ and BC
9514 1404 393
Answer:
85°
Step-by-step explanation:
Each of the isosceles triangles PAB and QBC has interior base angles of ...
(180° -80°)/2 = 50°
Then angle PBC is 90° -50° = 40°.
Segments PB and QB are the same length, so triangle PBQ is an isosceles right triangle. This means angle BPQ is 45°. Angle QEB is the sum of the remote interior angles of ∆BEP, so is 45° +40° = 85°.
The acute angle between PQ and BC is 85°.
Please help me !!!!!
Answer:
just don't answer that
Step-by-step explanation:
cause I don't know what is the answer
i need help urgently lease :D
Answer:
y=4
-2y=8
y=8/2
xndnndndnd
Station A and Station B are 120 miles apart. A train traveling from station A to station B travels exactly 1/3 of the distance when it is held up and stops for 16 minutes. When the train continues its journey, the engineer increases its average speed by 15 mph so that the train will arrive at station B on schedule. Find the average speed of the train before it stopped for 16 minutes.
Answer:
60
Step-by-step explanation:
60
The average speed of the train was 80mph.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Here, Given that, Station A and Station B are 120 miles apart.
And, a train traveling from station A to station B travels exactly 1/3 of the distance when it is held up and stops for 16 minutes.
Let, its average speed was x mph.
Then, Total time if didn't stop = 120/x h
Now, before stop it took time =( 1/3×120)/x h =40/x h
After stop it took time = 80/(x+15) h
i.e. 40/x +16/60+ 80/(x+15) = 120/x
⇒80/(x+15)+8/30= 80/x
⇒80(1/x-1/(x+15))=8/30
⇒10×(15/x^2+15x)=1/30
⇒x^2+15x=10×15×30
⇒x^2+15x-450=0
⇒x^2+75x-60x-450=0
⇒(x+75)(x-60)=0
⇒x=60 or, x= -75
Hence. the required speed was 60mph.
To learn more on equation click:
brainly.com/question/24169758
#SPJ2
A program was created to randomly choose customers at a shoe store to receive a discount. The program claims 15% of the receipts will get a discount in the long run. The manager of the shoe store is skeptical and believes the program's calculations are incorrect. She selects a random sample and finds that 12% received the discount. The confidence interval is 0.12 ± 0.05 with all conditions for inference met.
Part A: Using the given confidence interval, is it statistically evident that the program is not working? Explain.
Part B: Is it statistically evident from the confidence interval that the program creates the discount with a 0.15 probability? Explain.
Part C: Another random sample of receipts is taken. This sample is six times the size of the original. Twelve percent of the receipts in the second sample received the discount. What is the value of margin of error based on the second sample with the same confidence level as the original interval?
Part D: Using the margin of error from the second sample in part C, is the program working as planned? Explain.
Answer:
A: There is no statistical evidence that the program is not working as intended because 0.15 is between the range of 0.12 ± 0.05 = (0.07,0.17)
B: 0.15 is between the range of (0.07,0.17) so it is statistically probable.
C: margin of error=0.05/((6)^(1/2))=0.0204
D: No the program is not working as planned because 0.15 is not within the range of 0.12±0.0204=(0.0996,0.1404)
Step-by-step explanation:
Within the answer. please tell me if I am wrong
help i’ll give extra points
Answer:
a
Step-by-step explanation:
Answer:
Step-by-step explanation:
not a function
deefinition of function exactly one output for a input.
if you like my answer please mark as brainliest.
Find the area of the figure.
(Sides meet at right angles.)
6 cm
2 cm
2 cm
2 cm
2 cm
2 cm
2 cm
2 cm
Answer:
paso a paso
Step-by-step explanation:
tienes que saber cuanto bale o la equivalencia de cm 10 haci que
tienes que multiplicar 5 x10 igual con los de mas si te sirvio apoyame plsssss
PLS HEL P ASAP NOT THAT HARD!! CONVERT TO ENTIRE RADICAL FORM
ven a chuparme el huevo
Theo wants to use a cookie recipe
that makes 36 cookies, but he wants
to increase the number of cookies to
54. If the recipe calls for 2 cups
of sugar, how much sugar should
he use?
Answer:
1
1
3
cups
Explanation:
This is a ratio question. If we are comparing the ratios, we could say
24
36
=
x
2
where x = the amount of sugar to make 24 cookies.
We can multiply both sides by 2 to cancel the 2 on the right, making
24
(
2
)
36
=
x
.
Simplify this and we get
48
36
and eventually
4
3
or
1
1
3
.
Step-by-step explanation:
The sum of two numbers is 15. Four times the smaller number is 60 less than twice the larger number. What is the larger number?
Answer:
just put the words into math:
x+y=15
4x = 2y-60
Now just solve the system for y.
Ms. Ponse drove 200 miles in 4 hours. At that rate how long will it take Ms. Ponse to drive 340 miles?
PLEASE HELP FOR POSSIBLE BRAINLIEST!
Answer:
6.8 hours.
Step-by-step explanation:
200/4 = 50
340/50 = 6.8
need help with one question
Answer:
I think it's x=-4
Step-by-step explanation:
3x= -12
x= -4
Ashley practiced the piano for 41 minutes. She practiced 13 minutes less than(means subtraction) her brother did. Write and solve an equation to determine how long her brother practiced the piano.(identify the question)
Answer:
b-13=41
Step-by-step explanation:
Let b stand for the total number of minutes he practiced for. Subtracting 13 from it gets us Ashley's 41, so the equation can be b-13=41.
HELPPPPPPPPPPPP[PPPPPP
Answer:
26mm
Step-by-step explanation:
w+10 + w+ 20 = 144/3
3w+30 = 48
3w = 18
w=6
longest side is 6+20 = 26
The resale value of a certain car when purchased new is $20,000. The car is expected to lose 10% of its value each year.
Which graph shows the predicted value of the car over time?
HELPPPP I’M GIVING 18 points ASAP
The graph that shows the predicted value of the car over time is the
a. Red graph, 1
b. Blue graph, g
c. Green graph, h
d. Orange graph, k
This makes sense because it’s y-intercept is at
a. 10,000
b. 20,000
And it
a. Increases
b. Decreases
Answer:
The red graph. y intercept is at 20k and is decreasing