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3 years ago

Given that p varies jointly as q and r, and p = 7. when q = 2

Mathematics

1 answer:

zhannawk [14.2K]3 years ago

4 0

Answer:

P = k*q*r

Step-by-step explanation:

P = kqr

7 = k*2*1.5

7 = 3k

k = 7/3

b. P = kqr

= 7/3*4*6

= (7*4*6)/3

= 168/3

= 56

P = 56

c. P = kqr

1 = 7/3*q*3

1 = (7*q*3)/3

1 = 21q/3

Cross product

1*3 = 21q

3 = 21q

q = 3/21

= 1/7

q = 1/7

d. P = kqr

5 = 7/3*8*r

5 = (7*8*r)/3

5*3 = 56r

15 = 56r

r = 15/56

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<h3>Washer method</h3>

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solution

We first find the value of x and y

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$v= \pi \int\limits^2_o= [\frac{y^{2} }{4} - \frac{y^{8} }{2^{8} }} ] dy$

$v= \pi [\int\limits^2_o {\frac{y^{2} }{4} } \, dy - \int\limits^2_o {\frac{y}{2^{8} } ^{8} } \, dy ]$

$v=\pi [\frac{1}{4} \frac{y^{3} }{3} \int\limits^2_0 - \frac{1}{2^{8} } \frac{y^{g} }{g} \int\limits^2_o\\v= \pi [\frac{1}{12} (2^{3} -0)-\frac{1}{2^{8}*9 } (2^{g} -0)]\\v= \pi [\frac{2}{3} -\frac{2}{g} ]\\v= \frac{4}{g} \pi$

A similar question about finding the volume generated by a given region is answered here: brainly.com/question/3455095

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Read 2 more answers

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bagirrra123 [75]

Answer:

see below

Step-by-step explanation:

The overbar on decimal digits means they repeat forever.

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