Answers
Answer:
g''(0) = 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Terms/CoefficientsCalculus
Derivatives
Derivative Notation
Derivative Property [Addition/Subtraction]: [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]
Derivative Rule [Product Rule]: [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]
Derivative: [tex]\displaystyle \frac{d}{dx} [e^u]=e^u \cdot u'[/tex]
Step-by-step explanation:
Step 1: Define
[Given] g(x) = eˣ · f(x)
f(0) = 1f'(0) = 2f''(0) = 3[Solve] g''(0)
Step 2: Differentiate
[1st Derivative] Product Rule: g'(x) = eˣf(x) + eˣf'(x)[2nd Derivative] Product Rule [Derivative Property - Addition]: g''(x) = [eˣf(x) + eˣf'(x)] + [eˣf'(x) + eˣf''(x)][2nd Derivative] Combine like terms [Addition]: g''(x) = eˣf(x) + 2eˣf'(x) + eˣf''(x)Step 3: Evaluate
[2nd Derivative] Substitute in variables: g''(0) = e⁰f(0) + 2e⁰f'(0) + e⁰f''(0)[2nd Derivative] Substitute in functions: g''(0) = e⁰(1) + 2e⁰(2) + e⁰(3)[2nd Derivative] Evaluate exponents: g''(0) = 1(1) + 2(1)(2) + 1(3)[2nd Derivative] Multiply: g''(0) = 1 + 4 + 3[2nd Derivative] Add: g''(0) = 8Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
Answer:
The correct answer is 8 (Option A)
Step-by-step explanation:
[tex] {g}^{11} (0) = 1(3) + 2(1) + 1(1) + 1(2) = 3 + 2 + 1 + 2 = 8[/tex]
Related Questions
Find the length of the hypotenuse to the nearest hundredths.
Answers
Answer:
9.85
Step-by-step explanation:
Hyp^2=opp^2+adj^2
Hyp^2=4^2+9^2
Hyp^2=16+81
Hyp^2=root 97
Hyp=9.848
Hyp=9.85
An artical fills 1/2 of a magazine page. A corresponding photo takes up 3/8 of the article. How much of the page is taken up by the photo
Answers
Answer:
3/16
Step-by-step explanation:
If an article takes half of the page then;
1article = 1/2 of a page
3/8 of the article = x
Cross multiply
1×x = 1/2×3/8
x = 3/(2×8)
X = 3/16
Hence the photo takes 3/16 of the magazine
Kaylee wants to ride her bicycle more than 90 miles this week. She has already ridden her bicycle 18 miles. Write and solve an inequality to determine the number of miles, m, Addison needs to ride each day for the 6 more days this week to accomplish her goal.
Answers
Answer:
Step-by-step explanation:
First, 90 - 18 = 72
2nd, 72 divided by 6 = 12
So, the inequality is (m greater than (72 divided by 6 = 12
Hope This Helps!!!!!!!!!!! :)
A student divided 1.374 by 4 and got 3.435.
a) Without dividing, how do you know the answer is incorrect?
b) What do you think the student did wrong?
c) What is the correct answer? How can you check?
Answers
Answer:
you know its wrong because when you divide, the number gets smaller
Simplify
2x +3 (4x – 8) + 10
Answers
Hope it helps you....
Sorry if it's wrong..
Help pls!! .........................................................................
Answers
Answer:
a)8
b)13
Step-by-step explanation:
a) ar = c
a^2+b^2=c^2
4^2+7^2=c^2
16+49 = c2
c = [tex]\sqrt{65}[/tex] ~8
b) sa= c
a2+b2=c2
7^2 + (15-4)^2
49+121 = c2
c= [tex]\sqrt{170}[/tex] = 13
I hope im right!!
Science is the favorite subject of 74% of students
at a school. There are 700 students at the school,
How many of them like science best?
Answers
Answer:
518
Step-by-step explanation:
let x be the number of people who likes the science the most.
x / 700 x 100 0.74
x = 518
Answer:
518 students
Step-by-step explanation:
74% of 700
Two parallel lines are cut by a transversal. What is the measure of 26?
n
(123)1/2
3
4
5/6
7/8
A. 90°
B. 57°
C. 180°
D. 123°
Answers
Answer:
do you have a picture to help?
The measure of angle 6 in the transversal that cut the parallel lines is 57 degrees
Angles formed when a transversal cut parallel lines
When a transversal line cut parallel lines, the angles formed are corresponding angles, alternate angles, vertically opposite angles etc.
Therefore,
∠2 = 180 - 123 = 57° (angle on a straight line)
Therefore,
∠2 ≅ ∠6 (corresponding angles)
Hence,
∠6 = 57 degrees
learn more on angles here: https://brainly.com/question/18250950
#SPJ5
Chapter6 Lesson 6 the distributive property part 2
Answers
https/: i’m sorry the person you have tried to reach has a voice mail box that has not been set up yet
Anuja Drove 31,680 feet how many miles did Anuja Drive?
Answers
31,680 feet = 6 miles
okokokokokokkookkokokkokokokokok
Answers
stickers are made with the same ratio of width to length. a sticker 2 inches has a length of 6 inches. complete the table
Answers
Answer:
2 =6
3= 9
4=12
5=15
Step-by-step explanation:
Formula is 3x
2 x 3= 6
3 x 3=9
4 x 3= 12
15/3= 5
5 tons, 230 pounds = pounds
Answers
Answer:
false
Step-by-step explanation:
Answer:
5230 pounds
Step-by-step explanation:
If 2x - 3y = 24 and 3x + 4y = 2, what is the value of x - y ?
Answers
Answer:
10
Step-by-step explanation:
2x - 3y = 24 ------ (1)
3x + 4y = 2 ------ (2)
(1) × 4,
8x - 12y = 96 ------ (3)
(2) × 3,
9x + 12y = 6 ------ (4)
(3) + (4)
17x = 96 + 6
= 102
x = 102 ÷ 17
= 6
Sub x = 6 into (2),
3(6) + 4y = 2
18 + 4y = 2
4y = 2 - 18
= -16
y = -16 ÷ 4
= -4
Therefore,
x - y = 6 - (-4)
= 6 + 4
= 10
i hope this helps you !!
TEN POINTS AND BRAINLIEST
When using the vertical method to multiply polynomials, ____________.
A) each polynomial must have at least three terms.
B) it does not matter in what order each polynomial is written.
C) the polynomials must have the same number of terms.
D) write each polynomial in descending order.
Answers
George buys a computer he pays a deposit of £200 and six mouthy instalments of £55 how much does George pay for his computer in total
Answers
Answer:He pays £530 in total.
Step-by-step explanation:
1)
5 in
10 in
5 in
S= 2B - Ph
In the surface area formula shown, B represents the area of the square base, Prepresents the perimeter of the square base and his
the height of the prism. Find the surface area of the prism.
Calc
phing
A)
25 in?
B)
100 in?
C)
250 in?
D)
300 in
me
sini
Answers
Answer:
250 in.
Step-by-step explanation:
SA= 2(LW+LH+WH)
= 2(10*5+10*5+5*5)
= 2(50+50+25)
= 2(100+25)
= 2(125)
= 250
Complete the proof.
Prove: ARSU ARTU
A)
AAS
B)
AS
SAS
D)
SSS
Answers
A pizza restaurant, Johnny’s Pizzeria,is selling slices of cheese pizza and pepperoni pizza at the festival.So far today,the restaurant has sold the following:12 slices of cheese pizza,and 24 slices of pepperoni pizza.
One ratio that describes the pizza sales so far at the festival is 2:3
Which relationship below is best represented by ratio 2:3?
A,B,C,D?
Answers
Answer:
I'm not very certain but I believe its C, The Number of cheese slices sold compared to the number of pepperoni slices sold
Step-by-step explanation:
Help with this brainly marking brainless to you guys!
Answers
A:( .25p)
Use synthetic division to find the result when x^4-2x^2-4x-48 is divided by x-3
Answers
Answer: it’s x^3+3x^2+7x+17+3/x-3
Sorry ab the handwriting lol
Step-by-step explanation:
Which expression represents the phrase "4 more than the product of 8 and n."
Answers
So we're going to debunk this phrase.
4 more means we're adding 4 somewhere. product is the answer to a multiplication problem, so we have to multiply 8 and n. Because n is a variable, we're going to write it as 8n.
So the expression would be 8n+4.
---
hope it helps
Kenneth displays his picture frames in the pattern shown below. Every other picture is of his friends and the rest are of his family. If the first picture is of his family, what picture will be in the third square frame?
Answers
Answer:
7amoody
Step-by-step explanation:
if Stacey managed a 9 minute mile pace, how long would it take her to finish five kilometer run
Answers
Answer:
The answer is 4 hours
Step-by-step explanation:
Nearly all of the marathon must be run and a good pace must be maintained throughout. The 4 hour marathon requires an average pace of 9 minutes 9 seconds per mile, which is a moderately fast pace for most runners.
The equation C = 75h + 29 represents the total
cost, C, to rent a boat for h hours. If Greg
rented a boat at 7:30 a.m. and paid $385.25
for the rental, what time did he return the
boat?
Answers
What is the solution to the inequality -3x - 5 < -20?
Answers
Answer:
x > 5
Step-by-step explanation:
Answer:
we have -3x < -15,
so
3x > 15,
x > 5
brainliest please?
Can someone help please?
What is the value of x? (Answer and explanation please! :) )
Answers
Hi there!
[tex]\large\boxed{x = 11}[/tex]
From the diagram, we can see that ΔAEF, and ΔACB are similar, isosceles triangles.
Therefore:
∠B and ∠F are congruent because they are corresponding angles, and ∠B and ∠E are congruent because of equal base angles in an isosceles triangle.
Therefore:
7x - 11 = 6x
Subtract 6x from both sides:
x - 11 = 0
Add 11 to both sides:
x = 11.
Evalute: 8 × 6 + ( 12 - 4 ) ÷ 2
Answers
Answer:
the answer is 52
Step-by-step explanation:
you have to keep simplyfing the problem until you get the answer
can i please have brainliest
I checked with a calculator
Find the volume of the irregular figure 3cm 7 cm 2 cm [?] cm 9 cm 11 cm 7 cm 10 cm
Answers
Answer:
672 cm³
Step-by-step explanation:
10x7x9=630
2x3x7=42
630+42=672
If a Robin returns to the bird feeder every 5 days and a Blue Jay returns every 3 days, how many days before they return on the same day?