All categories

2 years ago

A curve has equation y = x²(x - 2) Work out the gradient of the curve at the point (3,9).

Mathematics

1 answer:

slava [35]2 years ago

4 0

Answer:

y = x^2 (x - 2) = x^3 - 2 x^2

dy/dx = 3 x^2 - 4 x

At x = 3 dy/dx = 3 * 9 - 4 * 3 = 15 The slope (gradient) of the curve

You might be interested in

While bowling with friends, Brandy rolls a strike in 57 out of 72 frames. what is the experimental probability that brandy will

gogolik [260]

Answer:

79.17% probability that brandy will roll a strike the first frame of the next game

Step-by-step explanation:

The experimental probability is the probability based on previous outcomes, that is, the number of desired outcomes divided by the number of total outcomes.

While bowling with friends, Brandy rolls a strike in 57 out of 72 frames. What is the experimental probability that brandy will roll a strike the first frame of the next game?

Desired outcomes:

57 strikes

Total outcomes:

72 frames

Probability:

p = 57/72 = 0.7917

79.17% probability that brandy will roll a strike the first frame of the next game

3 0

3 years ago

A country's population in 1990 was 134 million. In 2000 it was 139 million. Estimate the population in 2014 using the exponentia

Rainbow [258]

Answer

P = 147 million

Step by step explanation

P = Po r^t -------------(1)

Po initial population, r = rate, t = number of years

Here P = 139, Po = 134, t = 10.

Now plug in these values into the formula and find the rate r.

139 = 134r^10

r^10 = 139/134

r = (139/134)^1/10

Now we got r, now plug in the equation (1)

Let's find the population in the year 2014, here t = 24

P = 134 (139/134)^(24/10)

P = 134(139/134)^(2.4)

P = 134*1.1

P = 147.4

P = 147 million

The country's population in 2014 is 147 million (estimation).

Thank you.

7 0

3 years ago

Read 2 more answers

Find area of the shape.<br> 30 mm<br> 20 mm<br> User = 3.14

Elodia [21]

Answer:

Area is calculated by multiplying the length of a shape by its width. In this case, we could work out the area of this rectangle even if it wasn't on squared paper, just by working out 5cm x 5cm = 25cm² (the shape is not drawn to scale.

Step-by-step explanation:

6 0

3 years ago

..................................... help pls

lakkis [162]

Answer:

Step-by-step explanation:

A is the height since it shows the dotted line from top to bottom and B and C are slanted.

8 0

3 years ago

Read 2 more answers

Convert 54 inches to yards. A) 1.5 yards B) 4.5 yards C) 6.0 yards D) 3.2 yards