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3 years ago

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

1 answer:

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

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Q = 3x + 9x? idk this one lol

Serjik [45]

Answer:

q = 12x

Step-by-step explanation:

q = 3x + 9x

Combine like terms

q = 12x

7 0

3 years ago

Please help with this math problem! The intersection of GK and HL is point P. Which triangle must be an isosceles triangle? *loo

Whitepunk [10]

None of the triangles listed has two equal base angles or two equal side lengths, therefore: D. No triangle is isosceles.

<h3>Properties of an Isosceles Triangle</h3>

An isosceles triangle has two base angles having equal angle measure.
The side lengths that are opposite each of the equal base angles are also congruent to each other.

Thus, none of the triangles listed has two equal base angles or two equal side lengths, therefore: D. No triangle is isosceles.

Learn more about isosceles triangle on:

brainly.com/question/11884412

5 0

3 years ago

Liam volunteers to help plan the event. The first month, he volunteered for x hours. The next month, he volunteered for 1 2/3 ti

Eddi Din [679]

Answer:

Hours in first month = 8

Step-by-step explanation:

AS it is given

He volunteered fr the first month = x hours

He volunteered for the second month = 12/3 times of first month

which will be = 12/3 * x

Total Hours volunteered = 40 hours

Now according to the given conditions

Volunteered first month + volunteered second month = total

putting this gives

x + 12/3 8 x = 40

as 12/3 = 4 so

it becomes

x + 4x = 40

solcing it will gives

5x = 40

x = 40/5

x = 8

So Numbers of hours worked in first month are 8

I hope this help you! :)

6 0

3 years ago

Evaluate the expression (3.2)².

Ludmilka [50]

Answer:

Step-by-step explanation:

3*2=6

6^2=6*6

=36

7 0

3 years ago

What are the weights (in Newton’s) for the given masses 22.1,33.5,41.3,59.2,78

Blababa [14]

Answer:

1. 216.8 N

2.328.635 N

3. 405.153 N

4. 580.752 N

5. 765.18 N

Step-by-step explanation:

1. Let the mass is 22.1 kg, then the weight in Newton will be (22.1 × 9.81) = 216.8 N {Where acceleration due to gravity is 9.81 m/sec²}

2. Let the mass is 33.5 kg, then the weight in Newton will be (33.5 × 9.81) = 328.635 N {Where acceleration due to gravity is 9.81 m/sec²}

3. Let the mass is 41.3 kg, then the weight in Newton will be (41.3 × 9.81) = 405.153 N {Where acceleration due to gravity is 9.81 m/sec²}

4. Let the mass is 59.2 kg, then the weight in Newton will be (59.2 × 9.81) = 580.752 N {Where acceleration due to gravity is 9.81 m/sec²}

5. Let the mass is 78 kg, then the weight in Newton will be (78 × 9.81) = 765.18 N {Where acceleration due to gravity is 9.81 m/sec²}

(Answer)

4 0

3 years ago