Calculus, second derivative. Please help! Show work, if possible please. Thanks! :)
Answers
Answer:
y''=sec^3(x)*csc(x)+sec^2(x)*tan(x)-2cot(x)*csc(x)*sec(x)*tan(x)+cot^2(x)*csc(x)*sec(x)+csc^3(x)*sec(x)
Step-by-step explanation:
we are given y= csc x sec x
We use the rule for multiplying derivatives and the knowledge that the derivative of csc is -csc*cot and the derivative of sec is sec*tan to get
csc(x)*sec(x)*tan(x)+sec(x)*-csc(x)*cot(x)
which simplifies to
csc(x)*sec(x)*tan(x)-sec(x)*csc(x)*cot(x)
Using the same rules again (in tedium so they are not listed but can be inferred) we find the second derivative is
sec^3(x)*csc(x)+sec^2(x)*tan(x)-2cot(x)*csc(x)*sec(x)*tan(x)+cot^2(x)*csc(x)*sec(x)+csc^3(x)*sec(x)
Related Questions
At the beginning of the year, Evelyn had $30 in savings and saved an additional $12 each week thereafter. Cooper started the year with $75 and saved $7 every week. Let E E represent the amount of money Evelyn has saved t t weeks after the beginning of the year and let C C represent the amount of money Cooper has saved t t weeks after the beginning of the year. Write an equation for each situation, in terms of t , t, and determine the interval of time when Evelyn has more in savings than Cooper.
Answers
Answer:
E=12t+30 C=7t+75
Evelyn has more in savings than Cooper when t > 9 weeks.Step-by-step explanation:
Please help anybody due in LESS THAN 1 MIN!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
distance was 35 units and the average speed was 5 units per minute
Step-by-step explanation:
-47--12=-35
the absolute value of -35 is 35
35 units took 7 minutes
so 1 unit takes 35/7 minutes= 5 minutes
3. An artist is creating a sculpture from clay. He starts with clay in the shape of a sphere with a radius of 3 inches.
What is the approximate volume of the clay sphere the artist started with?
Answers
Answer:
Step-by-step explanation:
The volume of the clay sphere the artist started with is 113.04 in^3
What is the volume of the clay sphere?We know that the artist starts with a sphere of clay with a radius of 3 inches, and we want to find the volume of clay that he has.
Then we just need to find the volume of the sphere.
Remember that for a sphere of radius R, the volume is:
[tex]V = (4/3)*3.14*R^3[/tex]
In this case, R = 3 in, replacing that we get.
[tex]V = (4/3)*3.14*(3 in)^3 = 113.04 in^3[/tex]
The volume of the clay sphere the artist started with is 113.04 in^3
If you want to learn more about volumes, you can read:
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Hey, can someone please help me? I’m pretty sure the answers are B and D but I just wanna make sure.
Answers
Answer:
yes b and d
Step-by-step explanation:
Find an equation of the circle having the given center and radius.
Center (-7, 6), radius 6
Answers
Answer:
36 = (x+7)^2 + (y-6)^2
Step-by-step explanation:
6^2=(x-(-7))^2 + (y-6)^2
Which graph is defined by the function given below?
y = (x + 2)(x + 7)
118
10
A. Graph A
B. Graph B
C. Graph C
D. Graph D
Answers
Answer:
Graph A
Step-by-step explanation:
the zeros of the function are
0=x+2 x=-2
and
0=x+7 x=-7
so the graph where the function crosses those two points at y=0
Pls awnser i will give brailiest
Answers
Answer:
A. 124
Step-by-step explanation:
first i found the area of the circle which is 113
then i multiplied that which gave me 452
then i used what's given "6" for a half circle and multiplied it by 4 and that gave me the size of one side of the square 24
then i multiplied 24 x 24 which is 576 the area of the square
lastly i subtracted 576-452
Brainliest pls
Use the geometric series 5^Ž (8)*-* to answer each question.
n=1
What are the terms in the series?
1 + 8 + ___+ ____+ ____
Answers
Answer:
First one is:
1 + 8 + 64 + 512 + 4096
Second one is:
73
Answer:
First one is:
1 + 8 + 64 + 512 + 4096
Second one is:
73
Step-by-step explanation:
423 inches = _________ feet, _________ inches
Answers
Answer:
432 inches = 35 feet and 3 inches
Find the circumference and the area of a circle
with the dimensions listed. Use the value 3.14 for π
,and do not round your answers. Be sure to
include the correct units in your answers.
a) diameter of 3 cm
b) radius of 5 ft
Answers
In response to the question, we may say that As a result, the radius of the circle is 9.42 cm and its area is 7.065 cm sq
What is circle?A circle seems to be a two-dimensional component that is defined as the collection of all places in a jet that are equidistant from the hub. A circle is typically shown with a capital "O" for the centre and a lower portion "r" for the radius, which represents the distance from the origin to any point on the circle. The formula 2r gives the girth (the distance from the centre of the circle), where (pi) is a proportionality constant about equal to 3.14159. The formula r2 computes the circumference of a circle, which relates to the amount of space inside the circle.
a) 3 cm diameter: The radius (r) of a circle is half its diameter, hence r = 3 cm/2 = 1.5 cm
The formula C = 2r gives the circumference of a circle, where is approximately equivalent to 3.14.
As a result, C = 2 3.14 1.5 cm = 9.42 cm.
The formula A = r2 calculates the area of a circle.
As a result, A = 3.14 (1.5 cm)2 = 7.065 cm sq.
As a result, the radius of the circle is 9.42 cm and its area is 7.065 cm sq
To know more about circle visit:
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Answer choices
40%
50%
What is the answer please help if you put a link I will report you I’m being dead freaking serious
Answers
Answer:
50%
Step-by-step explanation
add the total and divide 35 (flowers sold by 5th graders) over 70 (total number of flowers sold by all 3 grades)
X+2y=7 x+5=3y what is resulting equation
Answers
Six friends went apple picking.
They picked a total of 49 pounds
of apples that they shared equally.
How many pounds of apples did
each one take home?
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Good drivers have a quiet level of efficiency in their actions; this derives from a) a good level of attention Ob) accurate observation Oc) both Od) nelther
Answers
Answer:
d. all of the above
Step-by-step explanation:
just took driving course test
Good drivers exhibit a quiet level of efficiency in their actions, which stems from a combination of a good level of attention and accurate observation (option c).
Firstly, a good level of attention means being fully focused and attentive while driving, avoiding distractions, and being aware of the surroundings. This allows drivers to anticipate potential hazards, respond quickly to changing situations, and make informed decisions. Secondly, accurate observation involves keenly observing the road, traffic, and other relevant factors, such as signs, signals, and pedestrians.
By accurately observing their surroundings, good drivers can assess risks, maintain proper positioning, and execute maneuvers with precision. The combination of attention and observation enables drivers to anticipate and respond effectively, promoting safety, efficiency, and smooth execution of actions on the road. The correct option is c.
To know more about combination:
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find the area of a circle whose diameter is 7cm
Answers
Answer:
3.5pi
Step-by-step explanation:
just multiply together and you'll get your answer
Answer:
38.5 cm^2
Step-by-step explanation:
Diameter ( d ) = 7 cm
Radius ( r ) = 7 / 2 cm
Formula : -
Ar ( circle ) = π r^2
π r^2
= ( 22 / 7 ) x ( 7 / 2 )^2
= ( 22 / 7 ) x ( 49 / 4 )
= 38.5 cm^2
Please, my whole grade depends on this question!!!
Answers
Answer:
y = 14.4x - 18.4
Step-by-step explanation:
This is the equation for the regression line, I hope this helps!
find the erea of the trapezoid.
Answers
Answer:
36
Step-by-step explanation:
A (base) 6
B (Base) 12
H (height) 4
The scale on a map states that 1 centimeter corresponds to 20 kilometers. On the map, two cities are 0.3 cm apart. Find the actual distance.
Answers
Answer: The actual distance is 6 km
Step-by-step explanation: If you do a conversion from 1 cm to 20 km in fraction form, you will have
[tex]\frac{1cm}{20km} = \frac{0.1cm}{km ?}[/tex]
So, if you solve for km, you will get 6 using cross multipulcation
Alguien que hable español??
Answers
solve for x in kite
Answers
Answer:
x = 38
Step-by-step explanation:
since angle AED is a right angle 2x + 14 = 90
subtract 14 from 90 you get 76, divide that by 2 you get 38
Complete the equation of the line through (4,-8) and (8,5)
Use exact numbers.
Y=?
Answers
The Answer:
y=3.25x+ (-21)
Answer:
y-intercept = (0, -21)
Step-by-step explanation:
Find the value of the slope.
[tex]m = \frac{13}{4} [/tex]
Find the value of the y-intercept.
[tex]b = - 21[/tex]
List the slope and y-intercept.
Slope: 13/4
y-intercept: (0, -21)
GUYS HELP PLEASE ASAP You are deciding between two jobs. Offer 1 is $40,000 and a raise of
$4,000 per year. Offer 2 is $52,000 and a raise of $2,000 per year. In how
many years will both jobs pay you the same salary? What would the salary
be? Which offer should you choose if you plan on working for 10 years?
Answers
Answer:
offer 1= you get 80k for the first offer for 10 years.
offer 2= you get 72k for the second offer for 10 years.
Result:
offer one would be better as you would get more money.
write an equation for the nth term of the arithmetic sequence. Then find a40.
1/4,1/2,3/4,1,...
Answers
Answer:
The nth term is: [tex]a_n = \frac{1}{4} + \frac{1}{4}(n-1)[/tex]
a40 = 10
Step-by-step explanation:
Arithmetic sequence:
In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.
The nth term of a sequence is given by:
[tex]a_n = a_1 + (n-1)d[/tex]
In which [tex]a_1[/tex] is the first term and d is the common difference.
1/4,1/2
This means that:
[tex]d = \frac{1}{2} - \frac{1}{4} = \frac{2}{4} - \frac{1}{4} = \frac{1}{4}[/tex]
1/4
This means that [tex]a_1 = \frac{1}{4}[/tex]
The nth term is:
[tex]a_n = a_1 + (n-1)d[/tex]
[tex]a_n = \frac{1}{4} + \frac{1}{4}(n-1)[/tex]
Then find a40.
[tex]a_{40} = \frac{1}{4} + \frac{1}{4}(40-1) = \frac{1}{4} + \frac{39}{4} = \frac{40}{4} = 10[/tex]
So
a40 = 10
Don’t waste an answer if you ain’t gonna help :)
Answers
Please Help me i'm not good with math
Answers
+5 +5
x = 12
2. -5 + x = 7
+5 +5
x = 7
3. -7x = 28
/-7. /-7
x = 4
not sure on the last one
Allison flipped a coin twenty times. She flipped heads 4 times and tails 16 times. What is the experimental probability that Allison will flip heads on her next flip?
The answer choices are:
80%
25%
20%
Please help!!
Answers
Answer:
C. 20%
Step-by-step explanation:
4 times out of 20 is 20%
WILL MARK BRAINLIEST PLEASE HELP!!!
A right circular cone is intersected by a plane that passes through the cone's vertex and is parallel to its base, as in the picture below. What is produced from this intersection?
A. A Pair of intersecting lines
B. A Parabola
C. A Point
D. A Pair of parallel lines
Answers
Answer:its D. A pair of parallel lines
Step-by-step explanation:
Answer: parallel lines
Step-by-step explanation:
9. Waldo and Freddy caught fish one weekend. The dot plots show the lengths of the fish they caught. Length of Waldo's Fish + 16 15 17 18 19 20 21 22 Inches Length of Freddy's Fish
Answers
The Range of the length of the fish caught by Freddy is Greater than the range of the length of the fish caught by Waldo.
Step-by-step explanation:
Evaluate the expression: -4a2 + 3ab - (2a + 3b) if a = 1/4 and b = -12
Enter answer as a decimal.
Answers
Answer:
Value of equation = 26.25
Step-by-step explanation:
Given:
Equation given
-4a² + 3ab - (2a + 3b)
Given value of a = 1/4
Given value of b = -12
Find:
Value of equation
Computation:
-4a² + 3ab - (2a + 3b)
By putting value of a and b
-4(1/4)² + 3(1/4)(-12) - [2(1/4) + 3(-12)]
-4(1/16) - (36/4) - [2/4 - 36]
-4/16 - 36/4 - [-142/4]
- 0.25 - 9 + 142/4
-0.25 - 9 + 35.5
Value of equation = 26.25
Acone has a volume of 967 cubic feet. If the radius is 6
feet, what is the height of the cone?
Answers
Answer:
25.65
Step-by-step explanation: