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3 years ago

Maths help please!!!!!! PART B ONLY

Mathematics

1 answer:

andreyandreev [35.5K]3 years ago

5 0

Answer:

19.37.

Step-by-step explanation:

Integrating the function we get

x^4/4 - 5x^3/3 + x^2 + 8x

Area under the curve from x = -1 to x = 0

= (-1)^4/4 - 5(-1)^3/3 + (-1)^2 - 8

= 5.083

In a similar way we calculate area from 0 to 2

this = 10.667.

Total = 15.75.

Now we subtract 12.13 to get the area from x = 2 to x =p.

= 15.75 - 12.13 = 3.62

So total shaded area = 15.75 + 3.62

= 19.37.

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While building a snowman, a large snowball is created so that the radius is changing at the rate of 5 inches per hour. How fast

diamong [38]

Answer:

2000π in³/s

or 6283.2 in³/s

Step-by-step explanation:

dr/dt = 5

volume of sphere is given as

v = (4/3)(π)r³

differentitate wrt r

dv/dr = 3×4/3 ×π×r²

dv/dr = 4πr²

put r = 10

dv/dr = 4π(10)²

dv/dr = 400π

by chain rule

dv/dt = dv/dr ×dr/dt

dv/dt = 400π× 5

dv/dt = 2000π in³/s

or dv/dt =6283.2 in³/s

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3 years ago

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krek1111 [17]

Answer:

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Step-by-step explanation:

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5 0

3 years ago

Read 2 more answers

The table represents a function. A 2-column table with 5 rows. The first column is labeled x with entries negative 6, 7, 4, 3, n

sveta [45]

Answer:

-2 is an output of the function.

Step-by-step explanation:

The given table is as follows:

$\left[\begin{array}{cc}{x}&f(x)\\-6&8\\7&3\\4&-5\\3&-2\\-5&12\end{array}\right]$

Here, the values written on the left side of table i.e. values of $x$ are known as the domain values or input values to a function.

The values written on the right side of table i.e. values of $f(x)$ are known as the range values or output values of the function $f(x)$ .

Let us consider the pairs of values:

(-6,8) then left side value is of $x$ and right side value is of $f(x)$

i.e. when $x=-6$ , the output value $f(x) =8$ .

The same thing applies for all the pairs of values.

similarly for the pair (3,-2):

Left side value is of $x$ and right side value is of $f(x)$

i.e. when $x=3$ , the output value $f(x) =-2$ .

So, the answer is:

-2 is an output of the function.

4 0

3 years ago

Read 2 more answers

If the rate of decrease for the partial pressure of N2H4 in a closed reaction vessel is 76 torr/h , what is the rate of change f

fiasKO [112]

The reaction is missing and it's ;

N2H4 + H2 ---> 2NH3

It asks for the total pressure too.

Answer:

A) Rate of change for NH3 = 152 torr/h

B) The total pressure in the vessel will remain the same.

Step-by-step explanation:

N2H4 + H2 ---> 2NH3

1 mole of N2H4 yields 2 moles of NH3.

From the question, the rate given for N2H4 is 76 torr/h.

Thus, The rate of change for NH3 will be = 2 x 76 = 152 torr/h

Now, on the reaction side, 1 mole of N2H4 reacts with 1 mole of H2. So we have 2 moles on the left hand side.

While on the product side, 2 moles of NH3 are produced.

So the total pressure will remain the same because for every 2 moles on the reaction side, 2 moles are gotten on the product side.

3 0

3 years ago

Answer to this question

Darina [25.2K]

Answer: The height of the rectangle is 8 centimeters (cm)

How?

A(rea) = B(ase) × H(eight)

Since the question gives us the formula (A = B × H), area (120 cm), and base (15 cm), it fills in some parts of the equation.

So really:

120 = 15 × H <-- This is the formula, but some parts are filled in

Which can be rearranged as:

H = 120 ÷ 15 <-- Solve this

H = 8

Hope this helps.

3 0

3 years ago