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3 years ago

If s = 24t + 3t2 - t3 what is the relative maximum

Mathematics

1 answer:

MAXImum [283]3 years ago

3 0

<span>v = 24 + 6t - 3t^2 is the correct answer</span>

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The measurenicnt of the circumference of a circle is found to be 56 centimeters. The possible error in measuring the circumferen

BartSMP [9]

Answer:

(a) Approximate the percent error in computing the area of the circle: 4.5%

(b) Estimate the maximum allowable percent error in measuring the circumference if the error in computing the area cannot exceed 3%: 0.6 cm

Step-by-step explanation:

(a)

First we need to calculate the radius from the circumference:

$c=2\pi r\\r=\frac{c}{2\pi } \\c=8.9 cm$

I leave only one decimal as we need to keep significative figures

Now we proceed to calculate the error for the radius:

$\Delta r=\frac{dt}{dc} \Delta c\\\\\frac{dt}{dc} = \frac{1}{2 \pi } \\\\\Delta r=\frac{1}{2 \pi } (1.2)\\\\\Delta r= 0.2 cm$

$r = 8.9 \pm 0.2 cm$

Again only one decimal because the significative figures

Now that we have the radius, we can calculate the area and the error:

$A=\pi r^{2}\\A=249 cm^{2}$

Then we calculate the error:

$\Delta A= (\frac{dA}{dr} ) \Delta r\\\\\Delta A= 2\pi r \Delta r\\\\\Delta A= 11.2 cm^{2}$

$A=249 \pm 11.2 cm^{2}$

Now we proceed to calculate the percent error:

$\%e =\frac{\Delta A}{A} *100\\\\\%e =\frac{11.2}{249} *100\\\\\%e =4.5\%$

(b)

With the previous values and equations, now we set our error in 3%, so we just go back changing the values:

$\%e =\frac{\Delta A}{A} *100\\\\3\%=\frac{\Delta A}{249} *100\\\\\Delta A =7.5 cm^{2}$

Now we calculate the error for the radius:

$\Delta r= \frac{\Delta A}{2 \pi r}\\\\\Delta r= \frac{7.5}{2 \pi 8.9}\\\\\Delta r= 0.1 cm$

Now we proceed with the error for the circumference:

$\Delta c= \frac{\Delta r}{\frac{1}{2\pi }} = 2\pi \Delta r\\\\\Delta c= 2\pi 0.1\\\\\Delta c= 0.6 cm$

5 0

3 years ago

Determine the slope of the line that has the following coordinates: (-3,6) (4,-2)

AveGali [126]

-8/7 is the correct answer.

6 0

3 years ago

What is the solution to the equation 1/4x+2=-5/8x-5

Fed [463]

multiply everything by 8

2x+16 = -5x-40

-16 on both sides

2x = -5x-56

+5x on both sides

7x = -56

x=-8

so the first option

5 0

2 years ago

Read 2 more answers

Shannon pours 4 different liquid ingredients into a bowl. The sum of the liquid ingredients is 8.53 liters. Two of her measureme

saveliy_v [14]

All you have to do is multiply those two numbers and whatever u get is ur answer

4 0

3 years ago

Can someone please help me and explain? please

mariarad [96]

Composite figure is made up of 4 triangles and a square.

Area of Square = Length x Length
Area of Square = 12 x 12
Area of Square= 144 cm²

Area of triangle = 1/2 x base x height
Area of triangle = 1/2 x 12 x 8
Area of triangle = 48 cm²

Area of 4 Triangles = 48 x 4
Area of 4 Triangles = 192 cm²

Total Area = 144 + 192 = 336 cm²

$\Longrightarrow \boxed { \boxed { Answer : 336 cm^{2} }}$

4 0

3 years ago