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lisabon 2012 [21]
3 years ago
12

find the constant at which the submarine dives. give your answer in feet per minute and in feet per hour

Mathematics
1 answer:
mr_godi [17]3 years ago
6 0
No given information.
No answer possible.
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I need help with this
Monica [59]

Using derivatives, it is found that regarding the tangent line to the function, we have that:

  • The slope is of 962.
  • The equation of the line is y = 962x - 5119.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

The slope of the line tangent to a function f(x) at x = x' is given by f'(x'). In this problem, the function is given by:

f(x) = 5x³ + 2x + 1.

The derivative is given by:

f'(x) = 15x² + 2.

Hence the slope at x = 8 is:

m = f'(8) = 15(8)² + 2 = 962.

The line goes through the point (8,f(8)), hence:

f(8) = 5(8)³ + 2(8) + 1 = 2577.

Hence:

y = 962x + b

2577 = 962(8) + b

b = -5119.

Hence the equation is:

y = 962x - 5119.

More can be learned about tangent lines at brainly.com/question/8174665

#SPJ1

7 0
2 years ago
Can u plz help me with this !!!
Sveta_85 [38]

Answer:

60

Step-by-step explanation:

10 + 5 = 15. 15/2 is 7.5. 7.5 times 8 is 60. The formula for the area of the trapezoid is (a+b)/2 x h.

5 0
3 years ago
What is 10-c equal to
labwork [276]

10 because when you put c minus 10 is 10 since theres nothing there

3 0
3 years ago
Read 2 more answers
Deandre can run 5 miles in 30 minutes.<br> How many minutes per mile is that?
Karolina [17]

6 minutes per mile.

As in, 30/5= 6

7 0
2 years ago
Read 2 more answers
I will get 10% off if and only if i spent at least $75.
sveta [45]

Answer:

great for you my guy

Step-by-step explanation:

im pretty sure you have the answer now but thanks for the points

3 0
3 years ago
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