Find an equation of the tangent line to the of the function at the given point.
f(x) = 3x2 – In x (1,3)

The answer is 5x-y-2=0 but I don’t know how to get to it.

Answers

Answer 1

Step-by-step explanation:

The slope of the tangent line is equal to the derivative.

f(x) = 3x² − ln x

f'(x) = 6x − 1/x

f'(1) = 6(1) − 1/1

f'(1) = 5

Use point-slope form:

y − 3 = 5 (x − 1)

Simplify:

y − 3 = 5x − 5

0 = 5x − y − 2


Related Questions


If the ratio of the length of a rectangle to its width is
9/4 and it’s length is 18 cm, what is the width of the rectangle?

Answers

9514 1404 393

Answer:

  8 cm

Step-by-step explanation:

It is convenient to write the proportion with the unknown (width) on top:

  width/length = 4/9 = w/(18 cm)

Multiplying by 18 cm gives ...

  w = (18 cm)(4/9) = 8 cm

The width of the rectangle is 8 cm.

Answer:

The answer is 8.

Step-by-step explanation:

I did a test with this question on it.

This was the correct answer.

YOUR WELCOME!!! HOPE IT WAS HELPFUL :)

FIRST ONE TO GET ME THE CORRECT ANSWER WILL WIN BRAINIEST

Answers

9514 1404 393

Answer:

  59 3/4

Step-by-step explanation:

The change from the opening price is ...

  -50 1/2 +110 1/4 = 60 -1/4 = 59 3/4 . . . change from opening price

Step 1:Choose the lowest common denominator

Find the sum of 1/5 and 7/10

The expression written in equation from with common denominator is______

The sum is___​

Answers

Answer:

-6/8 +5/8 and -1/8

Step-by-step explanation:

just got done doing it.

The function
The function g(x) has a slope of —5/6. The value of g (x) is 5 when x is 6. Explain how the graph
of g(x) can be used to find the x-intercept. (2 points)
Item

Answers

You have slope and a point so it should be easy.
Set up equation [y-y1= m(x-x1)]
y-5 = -5/6(x-6)
And simplify.
Y=-5/6x +10

Then to find x intercept, plug in a 0 for y
0=-5/6x+10
-10=-5/6x. Subtract 10 from both sides.
-10/ -5/6 = x. Divide by -5/6 on both sides.

X=12

So the x intercept is 12 or (12,0)

Help i need the answer now please!

Answers

Answer:

no

Step-by-step explanation:

No , Have Ah Nice Day

what type of angle is 2??
a. Alternate Exterior
b. Alternate Interior
c. Corresponding
d. Linear Pair
e. Same-Side Exterior
f. Same Side Interior
g. Vertical Angles
h. No Relationship

Answers

Answer:

Vertical Angles...............


18
=
4
Convert the improper fraction to a mixed number.

Answers

Answer:

[tex]4\frac{1}{2}[/tex]

Step-by-step explanation:

In order to find the answer to this question you have to divide the numerator by the denominator.

[tex]\frac{18}{4}[/tex]

[tex]4\times4=16[/tex]

[tex]18\div4=4^2[/tex]

[tex]4\frac{2}{4}[/tex]

Reduce:

[tex]2\div2=1[/tex]

[tex]4\div2=2[/tex]

[tex]=4\frac{1}{2}[/tex]

Hope this helps.

11. Find the product of (4x-5) and (2x+7) in simplest form.

Answers

8x^2 + 18x - 35


(4x - 5)(2x + 7)

8x^2 + 28x - 10x - 35

8x^2 + 18x - 35

#13 Easton is planning on buying a new pair of cowboy boots. When he
went to Eastern Outfitters last week they costs $60 on the black Friday
sale. This week, they aren't on sale anymore and they cost $85. What is the
percent of change on the boots? *
O 25%
O 45%
O 55%
75%

Answers

It will be 25%

Step-by-step explanation:

-3- 2 1/3 please help me out

Answers

Answer:-2/3

-3-2 1/3

which is also

-3 -7/3

which is also

-9/3-7/3

which is

-2/3

The difference is -5 1/3

Xavier's car used 4 gallons to travel 152 miles. How many miles can the car go
on one gallon of gas?

Answers

Answer:

1 gallon of gas= 38 miles

Step-by-step explanation:

152÷4= 38.

Which ordered pair is a solution to the equation below? 3x + 2y = 10
Question 1 options:

(4, 0)

(6, -4)

(-1, 4)

Answers

Answer:

(6,-4)

Step-by-step explanation:

I have tried replacing each option with x, y in the equation.

Let's replace (6, -4) with x and y

3x+2y=10

3(6)+2(-4)=10

3(6)= 18 2(-4)= -8

18+(-8)=10

in other words:

18-8=10

The statement is true, so the correct answer is:

(6, -4)

13. What is the value of x?
t
(2x +40)
(x +90°
С
D
A. 25
B. 50
C. 75
D. 85

Answers

9514 1404 393

Answer:

  B.  50

Step-by-step explanation:

The alternate interior angles at transversal t across parallel lines AB and CD will be congruent.

  2x +40 = x +90

  x = 50 . . . . . . . . . . . subtract x+40

The value of x is 50.

_____

Check

2x+40 = 2×50 +40 = 140

x+90 = 50 +90 = 140 . . . . so the obtuse angles are congruent, as they should be

___

Additional comment

The lines AB and CD are not shown as being parallel. We have to assume they are, or we cannot work the problem.

it takes Molly 0.25 hours to drive to school. her route is 16 km long. what is Molly's average speed on her drive to school?​

Answers

Answer:

64

Step-by-step explanation:

16 divided by 0.25 gives you 64 .... welcome

Answer:

64 km/h

I answered it correctly on a mid term

I need to know for you to Awnser my question


Points and brainlest !!!

Answers

Answer:

id c hot  hf hdjhdw fhwjfehf v;e

Step-by-step explanation:

id c h

Answer:

2/3

Step-by-step explanation:

theres only 4 less than 5 out of 6 so the fractio is 4/6. 4/6 simplified is 2/3

What’s the unit rate for Tegan?

Answers

Answer:

The unit rate is 16

The unit rate is 16 I think

The graph of an equation with a negative discriminant always has which characteristic?
OO
no x-intercept
no y-intercept
no maximum
no minimum

Answers

No x intercept because there is no solution

There are 24 female performers in a dance recital. The ratio of men to women is 7:8. How many men are in the dance recital?

Answers

I need help to I’m struggling at math

It takes andre 4 minutes to swim 5 laps. At this rate heswims how many laps per minute.

Answers

Answer: It takes him 1 minute and 25 seconds

Step-by-step explanation:

5 divided 4

4 times 1 = 4

5-4=1

put the decimal and make 1=10                           Ans.: 1.25

4 times 2 = 8

10-8=2

put the 0 = 20

4 times 5 =20

20-20=100

pls solve this and you get the points i'm a lil high right now

Answers

Answer:

solve for V= pier^/3

solve for R=Square root3Vpie over pie

Step-by-step explanation:

V=multiply 1/3(pier^2)

R= Take root of both sides and solve

Answer:

dividing by a fraction (1/3) is equivalent to multiplying by its inverse (3)

3+%2A+v+%2F+%28pi+%2A+r%5E2%29 = h

Step-by-step explanation:

Lara created a 15-pound platter of three different types of cookies for a banquet. The peanut butter cookies sell for $2 per pound, the sugar cookies sell for $3 and the chocolate chip cookies sell for $3.60 per pound. The entire platter is worth $40. The quantity of peanut butter cookies was 3 more than chocolate chips. How many pounds of each cookie was there. Answered with a chart.

Answers

Answer:

i need a bad bleep

Step-by-step explanation:

addison rae

In March it rained 8.23 inches. It rained 5.96 inches less in April than in March.
How much did it rain in April?

Answers

It rained 2.27 inches in April.

Graph the equation y=-x^2+12x-32y on the accompanying set of axes. You must plot 5 points including the roots and the vertex.

Answers

use desmos ... that’s what i use for math

The vertex of the quadratic function y = - x² + 12 · x - 32 is located at point (0, - 20) and the roots of the abovementioned are points (4, 0) and (8, 0), respectively.

How to graph a quadratic function

By fundamental algebra theorem we need at least three no coplanar different points to graph quadratic functions. First, we determine 5 different points, then we pass the curve through the five points and finally we identify the roots and the vertex.

If we know that (- 16, - 480), (- 12, - 320), (- 8, - 192), (- 4, - 96), (0, - 32), then the graph of the quadratic function is shown in the image.

The vertex of the quadratic function y = - x² + 12 · x - 32 is located at point (0, - 20) and the roots of the abovementioned are points (4, 0) and (8, 0), respectively.

To learn more on quadratic functions: https://brainly.com/question/5975436

#SPJ2


1. Find the value of k.
A. 17
B. 73
C. 118
D. 107

Answers

A i’m pretty sure 62-45

Answer:

Its B

Step-by-step explanation:

you have to add 45 and 62 to get 107 and then subtract 107 from 180

Hope this helps

pls mark brainliest

You start an account with $2,500 and an annual interest rate of 6.5% compounded yearly. How much is in the account after 7 years?

I need an expression and a solution​

Answers

I'm pretty sure it's this:

Answer:

y=a( 1+  r/n)^ nt

growth is a= 2500     yearly is n= 1

y= 2500( 1+ .065/1)^ 1.7  =   $3884.97

                                 

Help me pleaseeeeeeeeeeeeeeeeee

Answers

Answer:A. 4 13/24Hope this helps!!
The answer is 4 13/24

Determine the expression

Answers

trinomial and i believe its a degree of 4

.
Determine the value of each of the following expressions

a.
25+310


b.
56−13


c.
45×78


d.
67÷34

Answers

a. 515
b. 43
c. 3510
d. 1.9705

a nursery sells kentucky bluegrass seed for $5.75 per pound and tall fescue seed for $4.50 per pound. the nursery sells a mixture of the two kinds of seed for $5.25 per pound. let k represent the amount of kentucky blue grass seed the nusery uses in in 5 pounds of the mixture

Answers

Answer:

[tex]k=3[/tex]

Step-by-step explanation:

Given that:

Per pound cost of kentucky bluegrass seed = $5.75

Per pound cost of tall fescue seed = $4.50

Per pound cost of mixture of seeds = $5.25

[tex]k[/tex] is the amount of kentucky blue grass.

Total amount of the mixture = 5 pounds

Therefore, amount of tall fescue seed = (5 - [tex]k[/tex]) pounds

To find:

The value of [tex]k[/tex].

Cost of [tex]k[/tex] pounds of kentucky bluegrass seed = [tex]\$5.75k[/tex]

Cost of (5 - [tex]k[/tex]) pounds of tall fescue seed = [tex]\$(5-k)4.50[/tex]

As per question statement:

[tex]5.75k+(5-k)4.50=5.25\times 5\\\Rightarrow 575k+5\times 450 -450k=525\times5\\\Rightarrow 125k=75\times5\\\Rightarrow k =3\ pounds[/tex]

Amount of kentucky blue grass seed used = 3 pounds

Amount of tall fescue seed used = 5-3 = 2 pounds

Which equation has the correct sign on the product?
A 45(-4)=180 B 13•3= -39
C (-8)(-8)= -64 D (-18)4 = -72​

Answers

answer:

the answer is a

Answer is D because (-18)4 equals -72.... it’s right.
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