A relation between two sets is a collection of ordered pairs containing one object from each set. If the object x is from the first set and the object y is from the second set, then the objects are said to be related if the ordered pair (x,y) is in the relation. A function is a type of relation.

Step-by-step explanation:

6 0

2 years ago

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Use the method of cylindrical shells to find the volume v generated by rotating the region bounded by the given curves about the

lys-0071 [83]

The volume of the solid of revolution is $\frac{7\pi}{3}$ cubic units.

<h3>How to find the volume of a solid of revolution with respect to an axis parallel to a Cartesian axis</h3>

The statement has been represented in the image attached below, the formula for the solid of revolution is presented below:

$V = \pi \int\limits^{1}_{0} {[5\cdot y^{2}-2]^{2}} \, dy$ (1)

$V = \pi \int\limits^{1}_{0} {(25\cdot y^{4}-20\cdot y +4)} \, dy$

$V = 25\pi\int\limits^1_0 {y^{4}} \, dy -20\pi\int\limits^1_0 {y^{2}} \, dy +4\pi\int\limits^1_0\, dy$

$V = \frac{7\pi}{3}$

The volume of the solid of revolution is $\frac{7\pi}{3}$ cubic units. $\blacksquare$

To learn more on solids of revolution, we kindly invite to check this verified question: brainly.com/question/338504

7 0

2 years ago

Please help!

Nuetrik [128]

Hello there! The formula for finding slope is y2 - y1 / x2 - x1, meaning you subtract the first x and y-coordinates, from the second x and y-coordinates. In this case, the formula would be set up as -2 - 5 / 2 -1, because (2, -2) is the second point and (1, 5) is the first point. The answer is C: 2 - 1.

8 0

4 years ago

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Dan buys a car for £2200.

KatRina [158]

Answer:

The worth of the car after 6 years is £2,134.82

Step-by-step explanation:

The amount at which Dan buys the car, PV = £2200

The rate at which the car depreciates, r = -0.5%

The car's worth, 'FV', in 6 years is given as follows;

$FV = PV \cdot \left ( 1 + \dfrac{r}{100} \right )^n$

Where;

r = The depreciation rate (negative) = -0.5%

FV = The future value of the asset

PV = The present value pf the asset = £2200

n = The number of years (depreciating) = 6

By plugging in the values, we get;

$FV = 2200 \times \left ( 1 + \dfrac{-0.5}{100} \right )^6 \approx 2,134.82$

The amount the car will be worth which is its future value, FV after 6 years is FV ≈ £2,134.82 (after rounding to the nearest penny (hundredth))

8 0

3 years ago