f(x) =
2x2 + 4x – 3
- 22 – 5x – 2
Find f'(x) and f''(a).
f'(x) =
PENER
-
SURRETH
HER
f''(x) =
THE
Answers
9514 1404 393
Answer:
f'(x) = (-6x² -14x -23)/(x² +5x +2)²
f''(x) = (12x³ +42x² +138x +202)/(x² +5x +2)³
Step-by-step explanation:
The applicable derivative formula is ...
d(u/v) = (v·du -u·dv)/v²
__
f'(x) = ((-x² -5x -2)(4x +4) -(2x² +4x -3)(-2x -5))/(-x² -5x -2)²
f'(x) = (-4x³ -24x²-28x -8 +4x³ +18x² +14x -15)/(x² +5x +2)²
f'(x) = (-6x² -14x -23)/(x² +5x +2)²
__
Similarly, the second derivative is the derivative of f'(x).
f''(x) = ((x² +5x +2)²(-12x -14) -(-6x² -14x -23)(2(x² +5x +2)(2x +5)))/(x² +5x +2)⁴
f''(x) = ((x² +5x +2)(-12x -14) +2(6x² +14x +23)(2x +5))/(x² +5x +2)³
f''(x) = (12x³ +42x² +138x +202)/(x² +5x +2)³
Related Questions
What is the equation of the line that is parallel to y = 3x - 1 and goes through the point (0, 9)?
Answers
Answer:
Step-by-step explanation:
y - 9 = 3(x - 0)
y - 9 = 3x - 0
y = 3x + 9
4. Which of these types of angles have the same measure
after being rotated, reflected, or translated in a coordinate
plane? Select all that apply.
a. Acute angles
b. Right angles
c.Obtuse angles
Answers
Pls help meeee :))))))
Answers
Answer:
A. 1.80
Step-by-step explanation:
Answer:
A. 1.80
Explanation:
Jenny sold 17 less than 3 times the number of quilts Laura sold. Jenny sold
4 quilts. Select whether each statement is true or false. ZEE.4. ZEE 4a
Answers
Answer:
the statement would be false.
Step-by-step explanation:
Jenny sold 17 less than 3 times lauras 4 quilts. So that would make Laura have 12 and 12<17.
3- 8 + 4(3x + 3)
+2y
Thanks!!!
Answers
Answer:
7+12x+2y
Step-by-step explanation:
3-8+(12x + 12)+2y=
-5+(12x +12)+2y=
7+12x+2y
Answer:
Simplified, your answer should be 12x + 2y + 7
Step-by-step explanation:
Hope this helps! :)
Have a nice day! ♥
how many inches would represent 315 miles
Answers
Answer: 19,958,400
Step-by-step explanation: Multiply the length value by 63360.
315 x 63,360 = 19,958,400
Someone answer right por favor
Answers
hope this helps youu!!
Answer:
64
Step-by-step explanation:
Answer: 64. 16^6 = 16,777,216 and 32^6 is 1,073,741,824. 1,073,741,824 divided by 16,777,216 is 64
I need help. Please check this problem for accuracy I turn it in tomorrow.
Answers
Answer:
you are 100% correct (^_^)
Step-by-step explanation:
Can someone explain this to me? I really need help. Thx!
Answers
Answer:
3 to the 4th power.
Step-by-step explanation:
Basically, here 3 to the 3rd power is 27. Multiplying it by 3 is only adding another power, making it 81, which is the same answer to 3 to the 4th power if that makes sense.
Please look at picture
Answers
Answer:
By sum interior angle of triangle is equal to third exterior angle hence
z = x + y
No find x and y
Sum triangle is 180 degree
Tom had 3 times as many pencils than Max. Tom then gave 24 pencils to Max and they now had the same amount of pencils. How many pencils did they have altogether?
Answers
Answer:
24×3=72
Sooo the answer 72✨
What is the solution to this inequality? 7x +18 > -3
x<-3
x<3
x>-3
x>3
Answers
Step-by-step explanation:
7x + 18 > -37x > -3 -187x > -21x > -21÷7x > -3MARK ME AS BRAINLISTPLZ FOLLOW ME. What is the value of x in the diagram below?
(1 point)
36
20
Х
Ox= 12v5
Ox=12/14
Ox=4170
O not enough information
Answers
Answer:
C. x = 4√70
Step-by-step explanation:
To find x, we would apply the leg rule.
Leg rule is:
Hypotenuse/leg = leg/part
Hypotenuse = 36 + 20 = 56
Leg = x
Part = 20
Plug in the values into the equation
Thus, we would have:
56/x = x/20
Cross multiply
x*x = 56*20
x² = 1,120
x = √1,120
x = √(16*70)
x = 4√70
The correct answer is c.
Ramon was plotting the coordinates of a polygon. He has plotted the coordinates of the polygon shown below. What is the area of Ramon's
polygon?
1. Point A (2.5)
2. Point B (8,5)
3. Point C (8,9)
4. Point D (5,7)
5. Point E (2.9)
V
E
C
9
8
D
7
6
ke
5
A
B
4
3
2
1
5
6
7
8
9.
Answers
Answer:
Area of polygon = 18
Step-by-step explanation:
the given points are :
Point A (2.5)
Point B (8,5)
Point C (8,9)
Point D (5,7)
Point E (2,9)
Firstly , create the array
A 2 5
B 8 5
C 8 9
D 5 7
E 2 9
A 2 5
Now,
Multiply the x coordinates of each vertex by the y coordinate of the next vertex . and then add the result.
⇒ 10 + 72 + 56 + 45 + 10 = 193 .......(1)
Now,
Multiply the y coordinate of each vertex by the x coordinate of next vertex. then add the result
⇒ 40 + 40 + 45 + 14 + 18 = 157 ........(2)
Now, Subtract equation (2) from equation (1), we get
193 - 157 = 36
Now, Divide by 2 to get the area of polygon
∴ we get
Area of polygon = 18
Answer:
Need help with this plz
Answers
Answer:
(a) 3x+28+5x+52+2x-10=180 (∠ sum of Δ)
10x+70=180
10x=110
x=11
(b) ∠C = 2x-10
= 2(11)-10
= 12°
What is unknown number in proportion?
Answers
Answer:
x = 2.4/20= 0.12
Step-by-step explanation:
Multiply both sides by 4 to eliminate the fraction 1/4:
1 20
--- = ------
x 2.4
Next, we cross-multiply. This eliminates the fractions:
20x = 2.4
Dividing both sides by 20 results in an equation for x: x = 2.4/20= 0.12
Bob has 17/23 left of a wall to demolish. Each swing of a sledgehammer brings down an additional 17/161 of the wall. How many more swings will it take him to bring down all of the wall?
Answers
Let f be the function given by f(x) = x +
Vx+1
X - 1
Find and simplify f(5).
Answers
Answer:
A)4
Step-by-step explanation:
Since (3+1)^1/2=2
and 3-1=2
2/2=1
3+1=4
Why was the invention of the mechanical reaper important?
A. The reaper separated cotton fibers from cotton seed much faster than the manual method used earlier.
B. The reaper made it possible to communicate very quickly across a wire.
C. The reaper replaced the old method of sewing clothes by hand.
D. The reaper could cut grain much faster than the older method of harvesting by hand with a scythe.
Answers
Answer:
A.) The reaper separated cotton fibers from cotton seed much faster than the manual
method used earlier.
B.) The reaper made it possible to communicate very quickly across a wire.
C.) The reaper replaced the old method of sewing clothes by hand.
D.) The reaper could cut grain much faster than the older method of harvesting by hand
with a scythe.Step-by-step explanation:
How do I solve 10x = 100
Answers
Answer:
x = 10 since 10 x 10 = 100
Step-by-step explanation:
The graph of the function f is shown. f(0) =
Answers
Answer:
-5
Step-by-step explanation:
f(x) is a function.
f(0) means when x=0 what is the y value
We can look at the graph and when x=0 y is at -5
so the answer is -5
how many solutions does the equation 7x-4=7x+15
Answers
Answer:
No solution
Step-by-step explanation:
7x-4=7x+15
-4 = 15 = not true
Answer:
0 because is you -7x from both sides you get -4=15 which doesn't work.
Step-by-step explanation:
If an object goes from 50 mph to 30 mph in 5 seconds, what is its acceleration?
WILL MARK BRAINLIEST!
Answers
Answer:
-4 mph/sec
Step-by-step explanation:
Answer: -4 mph/s
Step-by-step explanation:
Remember the formula:
FinalVelocity = InitialVelocity + (acceleration)(time)
50 = 30 + (a)(5)
a = (30 - 50)/5
a = -4 mph/s
According to the Centers for Disease Control, about 18% of adolescents age 12-19 are obese. Suppose we take a random sample of 30 adolescents and find the proportion in our sample who are obese. We record this value. Now, repeat this many more times so that we have a great many sample proportions drawn from this population. Suppose we make a dotplot of the sample proportions. Would the dotplot be a visualization of the population distribution, the distribution of a sample, or the sampling distribution of proportions?
Answers
Answer:
the sampling distribution of proportions
Step-by-step explanation:
A sample is a small group of observations which is a subset of a larger population containing the entire set of observations. The proportion of success or measure of a certain statistic from the sample, (in the scenario above, the proportion of obese observations on our sample) gives us the sample proportion. Repeated measurement of the sample proportion of this sample whose size is large enough (usually greater Than 30) in other to obtain a range of different proportions for the sample is called the sampling distribution of proportion. Hence, creating a visual plot such as a dot plot of these repeated measurement of the proportion of obese observations gives the sampling distribution of proportions
do's and donts in handling measuring tools
Answers
Answer:
I need answer too
Pleaseee help us
Write the equations of these circles.
a) Centre origin, radius 3/2
b) Centre origin, radius 0.5
c) Centre origin, radius root 3
Answers
Hope this helps
The equation for the circle is x² + y² = 9/4 if the Centre origin, radius 3/2, and for the Centre origin, radius 0.5 is x² + y² = 0.25.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle).
It is given that:
The center of the circle is (0, 0) or the origin.
The radius of the circles is given.
As we know, the standard equation for the circle is:
(x - h)² + (y - k)² = r²
Here (h, k) is the center and r is the radius of the circle.
a) Centre origin, radius 3/2
Plug h = 0, k = 0, and r = 3/2
x² + y² = (3/2)²
x² + y² = 9/4
Similarly,
b) Centre origin, radius 0.5
x² + y² = 0.25
c) Centre origin, radius √3
x² + y² = 3
Thus, the equation for the circle is x² + y² = 9/4 if the Centre origin, radius 3/2, and for the Centre origin, radius 0.5 is x² + y² = 0.25.
Learn more about circle here:
brainly.com/question/11833983
#SPJ2
carmen is taller than ramon but shorter than ricardo. carmen is shorter than ryan who is taller than ricardo. who is the tallest? who is the shortest?
Answers
Answer:
ramon is the shortest
ryan is the tallest
carmen is taller than ramon
carmen is shorter than ricardo
carmen is shorter than ryan
ryan is taller than ricardo
You have a map of Southern California. If the distance between
Mrs. Clough's house and Badger Springs middle school on the map
is 3 inches, and the scale is 2 inches represents 12 miles, how far is
the actual distance from Mrs. Clough's house to school.
Answers
9514 1404 393
Answer:
18 miles
Step-by-step explanation:
The map distance and ground distance are proportional.
(distance to school)/(3 in) = (12 miles)/(2 in)
Multiplying by 3 in gives ...
distance to school = (12 miles)(3/2) = 18 miles
Solve and graph the inequality |4 – v| < 5.
a. Write the inequality as two inequalities without absolute value.
b. Solve the inequality and write the solution set.
c. Graph the solution on a number line.
50 points !!!!!
Answers
Answer:
-1 < v < 9Step-by-step explanation:
Given inequality
|4 - v| < 5a. The two inequalities:
1. 4 - v < 5
v > 4 - 5v > -12. 4 - v > -5
v < 4 - (-5)v < 9b. Solution is the combination of the above two:
-1 < v < 9c. The graph is attached
According to the National Weather Service, the average monthly high temperature in the Dallas/Fort Worth, Texas area from the years of 2006-2008 is given by the following table:
Month
Average Maximum Monthly Temperature
Jan
48.1
Feb
50.9
Mar
62.4
Apr
67.0
May
76.5
Jun
83.9
Jul
86.8
Aug
88.1
Sep
79.2
Oct
69.9
Nov
59.5
Dec
49.6
Plot the data on a scatter plot. Produce a sine regression model for the data. Round the values for a, b, c, and d to the nearest 0.001.
a.
y = 67.577 sine (0.500 x minus 1.959) + 20.077
b.
y = 20.077 sine (0.500 x minus 1.959) + 67.577
c.
y = 20.077 sine (1.959 x minus 0.500) + 67.577
d.
y = 20.077 sine (67.577 x minus 1.959) + 0.500
Answers
Answer:
b. y = 20.077 sin(0.500x - 1.959) + 67.577Step-by-step explanation:
The easiest way to solve
1. Plot the points for one year2. Add the functions to same graph and compareThis gave us the option B as the best fit line
See the graph below
Step-by-step explanation:
the dude above me is right