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2 years ago

How do you find the derivative of h(t)=sqrt(t)(1-t^2)

Mathematics

1 answer:

Harrizon [31]2 years ago

5 0

Answer:

Step-by-step explanation:

$h(t)=\sqrt{(t)(1-t^2)}\\h^{2}(t)=t(1-t^2)=t-t^3\\ diff. w.r.t.,\\2 h(t)h'(t)=1-3t^2\\h'(t)=\frac{1-3t^2}{2 h(t)} \\h'(t)=\frac{1-3t^2}{2\sqrt{(t)(1-t^2)} }$

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This table shows the number of points a high school basketball team scored during each of its last 10 games.

professor190 [17]

The measure of central tendency that is most affected by the lowest score is; A: The mean.

<h3>How to find the measures of Central Tendency?</h3>

The points table is missing and so I have attached it.

The 3 main measures of central tendency are called mean, median and mode.

Now, from the table attached, if we find the average which is the mean, we will get 56.6.

Now, the mode is the number that occurs the most times. In this case, there is no mode because no number appears more than the other.

For the median, if we arrange in ascending order, we have;

42, 48, 49, 53, 55, 56, 58, 66, 68, 71.

The median = (55 + 56)/2 = 55.5

Now, if we remove the lowest score, the measure that will be most affected will be the mean as the median will only change by 0.5 to 56.

Read more about Measures of Central tendency at; brainly.com/question/17631693

#SPJ1

3 0

1 year ago

Marissa wrote her bike to the park and back up halfway to the park she stopped at the library she was one 310 miles from the lib

erastovalidia [21]

Answer:

5 1/5 miles

Step-by-step explanation:

Given that :

Library is located halfway between park and home ;

Distance between library and park = 1 3/10 miles

Hence, total distance between park and home :

1 3/10 + 1 3/10 = 2 6/10

The distance driven :

Home to park ; park back home

2 6/10 + 2 6/10 = 4 12/10

4 + 12/10 = 4 + 1 2/10

= 5 2/10

= 5 1/5 miles

3 0

2 years ago

A man is standing on top of a 400 ft. tall building. He sees two people approaching the building along a straight road. He sees

Marina CMI [18]

Answer:

Draw a diagram. Then use tan(x) to find the remainder height of the taller building.

Step-by-step explanation:

5 0

2 years ago

Question 6 (1 point)

Shalnov [3]

2. Dividing exponential expression with the same base is what the left hand fractional expression is. Z^8/Z^?=z^6. Since all the bases are the same. To get the exponential power 6 on the right we subtract the denominator’s (bottom part of the fraction) exponential power (on the left) from the numerator’s (top part) exponential power.

Then, 8 - ? = 6? 2 is the only number to make the left equal the right side. This, z^8/z^2=z^6

8 0

2 years ago

Item 12

kozerog [31]

Answer:

The height is 4.472

Step-by-step explanation:

That formula is Heron's formula.

Where "s" is calculated like this:

s = (a + b + c) / 2

In this case:

a = 14

b = 12

c = 6

replacing:

s = (14 + 12 + 6) / 2

s = 16

Now we calculate the area:

A ^ 2 = 16 * (16−14) * (16−12) * (16−6)

A ^ 2 = 1280

A = 35.777

The area of the triangle is:

A = b * h / 2

In this case we will take the base as the longest side of the triangle, that is to say = 14

Thus:

h = A * 2 / b

h = 35.777 * 2/16

h = 4.472

So the height is 4.472

4 0

3 years ago