1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
hjlf
3 years ago
14

Consider the curve y=ln(3x-1).let p be the point on the curve where x=2.

Mathematics
1 answer:
Eduardwww [97]3 years ago
4 0
A. Yes you are correct that the gradient at any point is 3/(3x-1). However at point P it would be 3/(3*2-1)=2/5
b. The gradient of the normal would therefore be -5/2
We can use the general formula of an equation to get y-ln(5)=-5/2 (x-2)
Now multiply both sides by 2 to get:
2y-2ln(5)=-5x+10
Now when it crosses the x axis we know that y=0 therefore:
5x=10+2ln(5)
Therefore:
x=2+2/5 ln(5) when y=0
You could find an estimate of this number to be 2.64 (3sf) but this might not be sufficient

You might be interested in
A line with a slope of 1/2 passes through the point (2, -1) what is the Equation of the line​
Sonja [21]

Answer:

y=1/2x-2

Step-by-step explanation:

Hope this helps!

5 0
3 years ago
A rectangular park has sidewalks on two adjacent sides. If it takes John 60 steps to
Sergeeva-Olga [200]

Answer:

Length = 80 m and breadth = 60 m If one moves along the two adjacent sides, one covers 80+60 = 140 m. Diagonal of the rectangle = √ ( length^2 + breadth^2) ...

5 0
2 years ago
Write the number described by 1 ten 16 ones
scoray [572]
10+16=26 so there for your answer would be 26 if you need it more described let me know 
3 0
3 years ago
Read 2 more answers
I NEED HELP NEOW!!! PLZZ ill GIVE U A DOLLAR
mash [69]

Answer:

he keep 36$

Step-by-step explanation:

2/5 is 40% plus the 50% thats 90% so he only keep 10% which is 36$

8 0
3 years ago
Read 2 more answers
Answer anybody?? i can't do math like at all lol
Mashcka [7]

Essentially, what we're looking at here are two alternate interior angles.

Wait. What? Alternate interior angles?

It sounds like some super fancy math jargon, but it's a fairly simple concept that I'll try my best to explain. First, let's look at lines L and M as two parallel lines, meaning that these two are lines with equal slopes, and will never intersect. See that line that goes in between the parallel lines L and M? That's called a transversal. It's basically a line that goes through two parallel lines.

Now we know that there's a transversal going through the parallel lines. So what? Well, there's a couple of special attributes to transversals. See the two angles, 7x-7 and 4x+14? As you can tell, these two angles alternate in the interior space between the transversal and the parallel lines.

Alternate interior angles are equal. There's a way to prove that they're equal, but I won't bore you with the specifics since that's not what the question's asking.

If the angles need to be equal for lines L and M to be parallel, we can make an equation that'll solve for x:

7x - 7 = 4x + 14

<u>Subtract 4x from both sides:</u>

7x - 4 x - 7 = 4x - 4x + 14

3x - 7 = 14

<u>Add 7 to both sides:</u>

3x - 7 + 7 = 14 + 7

3x = 21

<u>Divide both sides by 3 to completely isolate x:</u>

\frac{3x}{3} = \frac{21}{3}

x = 7

And that's our answer! If you need me to explain anything any further, just ask!

- breezyツ

4 0
3 years ago
Other questions:
  • Lisa borrows $2850 at 4.3% simple interest per year. When Lisa pays the loan back 9 years later, what is the total amount that L
    6·1 answer
  • LOAD WEB FONTLOAD WEB FONT LOAD WEB FONT LOAD WEB FONT
    6·2 answers
  • Find the average rate of change for f(x)=x^2 +9x+18 from x= -8 to x= -2
    10·1 answer
  • What would be the answer ?? how do I interpret the remainder in this situation ?
    6·1 answer
  • Help i dont understand this
    7·1 answer
  • A circle is cut out of a square as shown.
    7·2 answers
  • The area A of a circle in square feet with a radius r in feet is given by the formula, A=πr2. What is the area of a circle with
    13·1 answer
  • Evaluate the equation. -4x = 14 A.10 B. 7/2 C. -7/2 D. -10
    8·2 answers
  • Subtract. (2 + 5i) – (4 – 2i)
    14·2 answers
  • 18,18,15,18,18,24,21,21,24,14 which one is mean
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!