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Find the local linear approximation of f(x) = [tex]e^{3x}[/tex] at x = 1.

y = [tex]e^3[/tex]

y = [tex]e^{3(x-1)}[/tex]

y = 3[tex]e^{3}[/tex](x − 1)

y = 3[tex]e^3[/tex]x − 2[tex]e^3[/tex]

Answers

Answer 1

Answer:

[tex] y = {e}^{3}[/tex]

Step-by-step explanation:

[tex]f(x) = {e}^{3x} \\ \\ plug \: x = 1 \\ \\ f(1) = {e}^{3 \times 1} \\ \\ f(1) = {e}^{3} \\ \\ plug \: f(1) = y \\ \\ y = {e}^{3}[/tex]


Related Questions

Y = 4( x + 2)^2 - 8


Convert the equation from vertex form to standard form.

Answers

i believe the answer is y=4x^2+16x+8

Answer:

hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

Help plsssd Help pldddd

Answers

ok the first one

and this is the second one

i need help on number 1​

Answers

in the equation, y=2x-4, slope is 2 and the y-intercept is -4. since your slope is a positive 2, your graph will be positive. hope i helped.

1. What is the Greatest Common Factor of 8 and 36? (1 point)
-2
-4
-6
-8​

Answers

Answer:

4 is the answer no hate if I'm wrong :)

Answer

GCF of 8 and 36 is 8

CORRECT ANSWER Is 4 SORRY FOR THE MESS UP

Victoria and Javier are collecting aluminum for a community service project. Victoria previously collected 56 pounds and is collecting at a rate of 8 pounds per hour this weekend. Javier collected 16 pounds earlier and Is now collecting at a rate of 12 pounds per hour. How many hours must pass (x) before the two students have collected the same amount of aluminum (y)?​

Answers

Answer:

10 hours

Step-by-step explanation:

Victoria collects:

8x + 56

Javier collects:

12x + 16

They get same amount:

8x + 56 = 12x + 1612x - 8x = 56 - 164x = 40x = 10


Evaluate the expression x
x(2 – 5y)²
when x= = -5 and y=-3.

Answers

[tex]\displaystyle -5(2-5(-3))^2=-5(17)^2=-1445[/tex]

what i 5 + 5
ok
ok
ko

Answers

Answer:

haha The answer is 10!(::

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

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calebs gross income last year was $39,000. he deducted $1,200 for charitable donations and tax-free interest payments and was taxed $2,200. what was his tax rate?

a. 19%
b. 12.6%
c. 28.8%
d. 5.8%

Answers

Answer:

28.8

Step-by-step explanation:

the power of G00GLE

A cylinder has a base diameter of 20in and a height of 17in. What is its volume in cubic in, to the nearest tenths place?

Answers

Step-by-step explanation:

(3.1415 * 10^2) area of base

(17) height

volume = area of base * height

volume = 3.1415 * 10^2 * 17

The volume of the cylinder is 533.8 cubic inches to the nearest tenths place

Volume of Cylinder based problem:

What information do we have?

Diameter of cylinder = 20 inch

Height of cylinder = 17 inch

Volume of Cylinder = πr²h

Volume of Cylinder = (3.14)(20/2)²(17)

Volume of Cylinder = (3.14)(10)(17)

Find out more information about 'Cylinder'.

https://brainly.com/question/3216899?referrer=searchResults

A book sold 31,600 copies in its first moth of release. Suppose the represents. 6.6% of the number of copies sold to date. How many copies have been sold to round your answer to the nearest whole number.

Answers

Answer:

Step-by-step explanation: dont know

Neil tried to rewrite the expression 5^-6/5^-4

5^-6/5^-4
=
5^-6-(-4) Step 1

5^-2 Step 2

1/5^2 Step 3

Did Neil make a mistake? If so, in which step?

Answers

Answer:

0.04

is what the answer should be

Step-by-step explanation:

P(x)=x4-52+9x+8 Hallar p(-3)

Answers

Answer:

P(x)=x⁴+9x-44

Step-by-step explanation:

Explain why square root of -2 is equal to i square root 2

Answers

Answer:

Because square roots aren't really negative. if you multiplied square roots by themselves they can equal positive and negative

Step-by-step explanation:

49 ÷ 7 =
6 × 6 =
38 - 21 =
99 - 63 =
43 + 54 =
55 ÷ 5 =
87 - 44 =
94 - 63 =
144 ÷ 12 =
56 - 24 =
65 - 23 =
27 ÷ 3 =
47 + 31 =
52 + 46 =
70 ÷ 7 =
72 ÷ 9 =
98 - 22 =
42 + 17 =
64 ÷ 8 =
42 + 33 =

Answers

Answer:

use pemdas

Step-by-step explanation:

Answer:

7

32

17

36

97

11

43

31

12

32

42

9

78

98

10

8

76

59

8

75

Step-by-step explanation:

going straight down from the top

Simplify.
4(u-2) - 6

Answers

Answer:

The answer is 4u-14.

Have a great rest of your day!

Answer:

4(u-2) - 6

separate bracket

4u-8-6

4u-14

Owen simplified the expression r-8 s-5.


r−8s−5 =
1
r8
⋅ s5 =
s5
r8

Describe Owen’s error.

Answers

ok sweetheart so basicaly what u do is...

Sample Response: Each base must be treated separately. Since each base is raised to a negative exponent, they should both be in the denominator of the fractions. The simplified form of the expression has 1 in the numerator and r to the 8th power times s to the 5th power in the denominator

Answer:

This is what it says to include in your response..." Each base has a negative exponent" and "Both powers should be in the denominator".

Step-by-step explanation:

This is the Exact sample response,

Each base must be treated separately. Since each base is raised to a negative exponent, they should both be in the denominator of the fractions. The simplified form of the expression has 1 in the numerator and r to the 8th power times s to the 5th power in the denominator.

What is the value of 6 2/3 + 1 7/12?

Answers

Answer:

Im not sure but i think the answer is 7 9/15

Step-by-step explanation:

Answer:

8.25 or 8 1/4

Step-by-step explanation:

Write an equivalent expression.
- 2(5 + 6g)
Choose the correct answer below.
A. -2(5+6g) = 6g - 10
B. -2(5.+6g) = -2- 12g
C. -2(5+6g) = - 10 - 129
D. -2(5+6g) = -10 +6g

Answers

Answer:

answer+> D. -2(5+6g) = -10 +6g

A lioness gave birth to 3 cubs. The cubs weighed 3 3/8 pounds, 3 1 /3 pounds, and 2 3/4 pounds. What was the total weight of the cubs?

Answers

Answer:

b

Step-by-step explanation:

The total weight is 9 11/24 pounds

Subject:Mathematics ​

Answers

Answer:

x=28°

Step-by-step explanation:

2x+3x-10+50=180

5x+40=180

5x=180-40

5x=140

x=140/5

x=28°

Question :

The angle measure of a triangle are shown in the diagram.

What is the value of x?

Answer :

value of x is 28°

Explanation :

Given :

∠A = 50°∠B = (2x)°∠C = (3x - 10)°

To Find :

Value of x = ?

Solution :

As, In a triangle measure of all three angles is always 180°.

[tex] \sf : \implies \angle A + \angle B + \angle C = 180\degree[/tex]

[tex] \sf : \implies 50\degree + (2x)\degree + (3x - 10)\degree = 180\degree[/tex]

[tex] \sf : \implies 50 + 2x + 3x - 10 = 180\degree[/tex]

[tex] \sf : \implies 40 + 5x = 180\degree[/tex]

[tex] \sf : \implies 5x = 180\degree - 40\degree[/tex]

[tex] \sf : \implies 5x = 140\degree[/tex]

[tex] \sf : \implies x = \cancel{\dfrac{140\degree}{5}}[/tex]

[tex] \sf : \implies x = 28\degree[/tex]

[tex] \large \underline{\boxed{\bf{x = 28\degree}}}[/tex]

Hence, value of x is 28°.

Angles 1 and 2 are supplementary. If angle 1 measures (2x +2)°, and angle 2 measures (x - 5)° what is the measure of each angle?

Answers

Answer:

angle 1 is = 124 angle 2 is = 56

Step-by-step explanation:

supplementary angles always add up to 180 so you can set up the equation (2x+2)+(x-5)=180 to find x. After solving you get x = 61 and then once you have x you plug it into the 2 equations you got for the angles to solve for 1 and 2.

A flagpole and a model flag pole have a scale factor of 1 in.= 4 ft. If the model pole measures 12 inches, how tall is the actual pole?

Answers

Answer:

[tex]48\ \text{feet}[/tex]

Step-by-step explanation:

[tex]1\ \text{inch}[/tex] of the model is [tex]4\ \text{feet}[/tex] of the actual pole.

Here, the pole which is present in the model measures [tex]12\ \text{inches}[/tex], so

[tex]12\ \text{inches}[/tex] of the model will be [tex](12\times 4)\ \text{feet}=48\ \text{feet}[/tex]

Hence, the actual pole will be [tex]\boldsymbol{48\ \text{feet}}[/tex] tall.

Jane was playing a game with her sister, Sally. Jane was down by 7. After her next turn, she was down by 3. Which of the following mathematical statements represents this scenario?

A. - 7 + -3 = -10
B.
- 7 + 3 = - 4
C. - 7+ 4 = - 3
D. - 7 + - 4 = - 11

Answers

Answer:

A. -7 + -3 = -10

Step-by-step explanation:

Jane went down by 7, so -7. Then, she went down by 3, so -7 + -3.

-7 + -3 = -10

Hope this helped! <)

(Sorry if this is wrong!)

U is the midpoint of TV. If TU = 6x and TV = 11x + 8, what is TV?
T
6x
V
11x + 8
Simplify your answer and write it as a proper fraction, mixed number, or integer.

Answers

Answer:

96

Step-by-step explanation:

U is the midpoint of TV, so mTU is half of mTV or mTV = 2 * mTU, so

mTV = 2 * mTU

11x + 8 = 2 (6x)

11x + 8 = 12x

8 = x

mTV = 11x + 8 = 11(8) + 8 = 88 + 8 = 96

Help me ??????????????????

Answers

Answer:

A

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

(h, k) are the coordinates of the vertex and a is a multiplier

Given

f(x) = - 2x² - 12x - 16

To complete the square the coefficient of the x² term must be 1

Factor out - 2 from - 2x² - 12x

f(x) = - 2(x² + 6x) - 16

add/ subtract ( half the coefficient of the x- term )² to x² + 6x

f(x) = - 2(x² + 2(3)x + 9 - 9 ) - 16

     = - 2(x + 3)² + 18 - 16

     = - 2(x + 3)² + 2 ; y = 2

Which conic section is represented by the following equation?

5x^2 – x + 5y^2 – 3y + 4 = 0

circle
ellipse
parabola
hyperbola

Answers

Answer:

3 rd one

Step-by-step explanation:

The conic section represented by the given equation is Circle.

What is Circle?

Circle is a two dimensional figure which consist of set of all the points which are at equal distance from a point which is fixed called the center of the circle.

Standard form of a circle is,

(x - h)² + (y - k)² = r²

where, (h, k) is the center of the circle and r is the radius of the circle.

Expanding, we get,

x² - 2hx + h² + y² - 2ky + k² = r²

x² - 2hx + y² - 2ky + (h² + k² - r²) = 0

The given equation is,

5x² – x + 5y² – 3y + 4 = 0

This is same as the standard form of the circle.

Hence the given equation is that of a circle.

Learn more about Circles here :

https://brainly.com/question/13658927

#SPJ2

How do you add fractions and whole numbers together? For example 1/4+2

Answers

Answer:

2.25 or 2 1/4

Step-by-step explanation:

Easy. you add them like regular numbers. 1/4 + 2 = 0.25 + 2 =2.25 and/or 2 1/4

3(2c + 5) = 39
What is the answer ?

Answers

Answer:

c=1

Step-by-step explanation:

Simplifying

3 + 2c = 5

Solving

3 + 2c = 5

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '-3' to each side of the equation.

3 + -3 + 2c = 5 + -3

Combine like terms: 3 + -3 = 0

0 + 2c = 5 + -3

2c = 5 + -3

Combine like terms: 5 + -3 = 2

2c = 2

Divide each side by '2'.

c = 1

Simplifying

c = 1

Answer:

 =  4

Step-by-step explanation:

Subtract  15 from both sides of the equation

6+15=39

6+15−15=39 − 5

Simplify

6=24

Divide both sides of the equation by the same term

(6=24)/6

Simplify

=4

**hint** Find the hypotenuse and then subtract that from the distance he actually traveled.

Answers

Answer:

10 miles

Step-by-step explanation:

sum of the fractions as a mixed numbers

2 5/6 + 4 3/6 =​

Answers

7 and 1/3 hope this helps
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