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3 years ago

A sinusoidal function whose period is 1/2 , maximum value is 10, and minimum value is −4 has a y-intercept of 3.

Mathematics

1 answer:

Elina [12.6K]3 years ago

8 0

Answer:

brainly.com/question/10395117

Step-by-step explanation:

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What if i=radical -1, what is the value of i^3

aleksklad [387]

$\bf i^3\implies \sqrt{-1}\cdot \sqrt{-1}\cdot \sqrt{-1}\implies (\sqrt{-1})^2\sqrt{-1}\implies \sqrt{(-1)^2}\cdot \sqrt{-1} \\\\\\ -1\cdot i\implies \boxed{-i}$

6 0

3 years ago

A right circular cone is undergoing a transformation in such a way that the radius of the cone is increasing at a rate of 1/2 in

Ivenika [448]

Answer:

The volume is decreasing at the rate of 1.396 cubic inches per minute

Step-by-step explanation:

Given

Shape: Cone

$\frac{dr}{dt} =\frac{1}{2}$ --- rate of the radius

$\frac{dh}{dt} =-\frac{1}{3}$ --- rate of the height

$r = 2$

$h = \frac{1}{3}$

Required

Determine the rate of change of the cone volume

The volume of a cone is:

$V = \frac{\pi}{3}r^2h$

Differentiate with respect to time (t)

$\frac{dV}{dt} = \frac{\pi}{3}(2rh \frac{dr}{dt} + r^2 \frac{dh}{dt})$

Substitute values for the known variables

$\frac{dV}{dt} = \frac{\pi}{3}(2*2*\frac{1}{3}* \frac{1}{2} - 2^2 *\frac{1}{3})$

$\frac{dV}{dt} = \frac{\pi}{3}(\frac{4}{3}* \frac{1}{2} - \frac{4}{3})$

$\frac{dV}{dt} = \frac{\pi}{3}(\frac{4}{3}(\frac{1}{2} - 1))$

$\frac{dV}{dt} = \frac{\pi}{3}(\frac{4}{3}*- 1)$

$\frac{dV}{dt} = -\frac{\pi}{3}*\frac{4}{3}$

$\frac{dV}{dt} = -\frac{22}{7*3}*\frac{4}{3}$

$\frac{dV}{dt} = -\frac{22}{21}*\frac{4}{3}$

$\frac{dV}{dt} = -\frac{88}{63}$

$\frac{dV}{dt} =-1.396in^3/min$

The volume is decreasing at the rate of 1.396 cubic inches per minute

3 0

3 years ago

Sketch the graph of each line y= -2

Inessa [10]

The graph of y = -2 is shown below;

Please observe that y is always -2 for any value of x. Hence the graph is a straight line at the point where you have negative 2 on the vertical axis (y-axis).

8 0

1 year ago

The sum of two number is 42 and it's different is a 8. find the number?

NeTakaya

Answer: 17 and 25

Step-by-step explanation:

Let X and Y be the two numbers.

---------------

X + Y = 42 [sum of two numbers is 42]

X - Y = 8 [their difference is 8]

-------------------

Rearrange the last equation to

X = 8 + Y

Now enter that into the 1st equation:

X + Y = 42

(8+Y) + Y = 42

2Y = 34

Y = 17

Since X - Y = 8,

X = 8 + 17

X = 25

===

X + Y = ?

17 + 25 = 42 Checks

X - Y = ?

25 - 17 = 8 Checks

6 0

3 years ago

Find the derivative of the function. Assume a and b are not zero

aivan3 [116]

What are A and B and what is the sigh

6 0

3 years ago