3 years ago

21/8 as a mixed number

Mathematics

1 answer:

77julia77 [94]3 years ago

8 0

$\frac{21}{8} = \frac{16}{8} + \frac{5}{8} =2 \frac{5}{8}$

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17=5k-2 what Is (k) help me please

MAXImum [283]

17=5k-2
add 2 to both sides
19=5k
divide both sides by 5
19/5=k
19/5=3 and 4/5

4 0

3 years ago

Read 2 more answers

Find the average value of f over region

yan [13]

The area of D is given by:

$\int\limits \int\limits {1} \, dA = \int\limits_0^7 \int\limits_0^{x^2} {1} \, dydx \\ \\ = \int\limits^7_0 {x^2} \, dx =\left. \frac{x^3}{3} \right|_0^7= \frac{343}{3}$

The average value of f over D is given by:

$\frac{1}{ \frac{343}{3} } \int\limits^7_0 \int\limits^{x^2}_0 {4x\sin(y)} \, dydx = -\frac{3}{343} \int\limits^7_0 {4x\cos(x^2)} \, dx \\ \\ =-\frac{3}{343} \int\limits^{49}_0 {2\cos(t)} \, dt=-\frac{6}{343} \left[\sin(t)\right]_0^{49} \, dt=-\frac{6}{343}\sin49$