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soldier1979 [14.2K]

3 years ago

14

The function f(t) = 2t2 + 3t - 1 can be used to determine the position of a worm, f(t), in centimeters, after t seconds. Find th

e average rate of change of the function over the interval [3, 6]?

1 answer:

ExtremeBDS [4]3 years ago

7 0

Use (f(6) - f(3))/3 and you'll get your answer :)

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Someone please help me!

Serggg [28]

Answer:

what is your question boy

3 0

3 years ago

Break apart the number you are subtracting write the different 73-7=

madreJ [45]

The answer is 66..................................................

5 0

3 years ago

Anton has 3 8/7 cups of syrup that he serves with his pancake orders. He uses 2/3 cup of syrup for each pancake order. What is

Slav-nsk [51]

Answer:

6 3/14 pancake order s

Step-by-step explanation:

The question above is calculated as:

2/3 cup of syrup = 1 pancake order

3 8/7 cups of syrup = x

Cross Multiply

2/3 × x = 3 8/7 × 1

x = 3 8/7 ÷ 2/3

x = 29/7 ÷ 2/3

x = 29/7 × 3/2

x = 87/14

x = 6 3/14 order

The maximum number of complete pancake orders that Anton can serve with the syrup he has is 6 3/14 pancake orders

4 0

3 years ago

Find an equation of the tangent to the curve at the given point by both eliminating the parameter and without eliminating the pa

jek_recluse [69]

Answer:2x-y=5

Step-by-step explanation:

Given

$x=6+\ln t$

$y=t^{2}+6$

$\left ( a\right )$ without eliminating parameter

$\frac{\mathrm{d} x}{\mathrm{d} t}$ = $\frac{1}{t}$

$\frac{\mathrm{d} y}{\mathrm{d} t}$ =2t

$\frac{\mathrm{d} y}{\mathrm{d} x}=2t^2$

at $\left ( 6,7\right )$

6=6+ $\ln\left ( t\right )$

t=1

Equation of line is given by

2= $\frac{y-7}{x-6}$

2x-12=y-7

2x-y=5

$\left ( b\right )$ by eliminating parameter

$x-6=\ln \left ( t\right )$

$t=e^{x-6}$

$y=t^2 +6$

$y=e^{\left ( 2x-12\right )}+6$

differentiating we get

$\frac{\mathrm{d}y}{\mathrm{d} x}=2e^\left ( 2x-12\right )$

$at \left ( 6,7\right )$

$\frac{\mathrm{d}y}{\mathrm{d} x}=2$

$2\left ( x-6\right )=\left ( y-7\right )$

2x-y=5

4 0

3 years ago

Un bus par de Nantes a 15h50 et arrive a tours a 19h05 après avoir parcouru 221km

Anettt [7]

Answer:

1) 3:15 hours.

2) 68 km per hour.

Step-by-step explanation:

Since a bus from Nantes at 3:50 p.m. and arrives at Tours at 7:05 p.m. after having traveled 221km, to calculate the journey time in hours and minutes and calculate the average speed of this bus, the following calculations must be performed:

1) 7:05 - 3:50 = 3:15

Thus, the duration of the trip was 3 hours and 15 minutes

2) 0:15 = 0.25

221 / 3.25 = X

68 = X

Thus, the average speed of the bus was 68 km per hour.

8 0

3 years ago