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3 years ago

15

Functions f(x) and g(x) are shown below:

1 answer:

Rudiy273 years ago

4 0

Maximum value is found by solving the root of the first derivative. that root is where the maximum value is.

f ' (x) = -8(x - 6) = 0.

So x = 6 and that's the maximum value. f(6) = 3

2cos(2x - π) + 4 is a trig function. The maximum value of cosine function is 1.

So the maximum value would be 2(1) + 4 = 6.

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What is the equation of the line that passes through the point (4,7) and has a slope<br>of -1/4?

Flauer [41]

Answer:

17

Step-by-step explanation:

6 0

4 years ago

The radius of a sphere is increasing at a rate of 0.5 centimeters per minute. At a certain instant, the radius is 17 centimeters

Usimov [2.4K]

Using implicit differentiation, it is found that the rate of change of the volume of the sphere at that instant is of 1815.84 cubic centimetres per minute.

The volume of a <u>sphere of radius r</u> is given by:

$V = \frac{4\pi r^3}{3}$

Applying <u>implicit differentiation</u>, the rate of change is of:

$\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}$

In this problem, we have that $\frac{dr}{dt} = 0.5, r = 17$ , thus:

$\frac{dV}{dt} = 4\pi (17)^2(0.5) = 1815.84$

The rate of change of the volume of the sphere at that instant is of 1815.84 cubic centimetres per minute.

A similar problem is given at brainly.com/question/11496075

3 0

3 years ago

What is the slope of the line that passes through the points (-2, 7) and (2, -5) ?

masha68 [24]

Answer:

12

Step-by-step explanation:

Since the slope of a line is its gradient, we use the formula for finding gradient.

Gradient

$= \frac{change \: in \: y}{change \: in \: x } \\ \ = \frac{7 - - 5}{ - 2 - 2 } \\ = 12$

hope it helps.

7 0

3 years ago

Please help me with this

4vir4ik [10]

Answer:

3, 8, 12, 12, 14, 20, 21, 23, 26, 34

stem leaf

0 3 8

1 2 2 4 (you have 12,12,14)

2 0 1 3 6 ( numbers 20,21,23,26)

3 4 ( number 34)

6 0

4 years ago

Read 2 more answers

2x + 4 = 2 <br> 5<br>the five is under it because that's how it is on the question

Ksju [112]

X would equal x = -1

7 0

3 years ago