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bezimeni [28]
3 years ago
5

1 substitute p=5, q=7, r = -2

Mathematics
1 answer:
lora16 [44]3 years ago
3 0

1.

a.) 2q + 5r

2(7) + 5(-2)

14 - 10 = 4


b.) 3(p + 6) + q + r     Plug in the numbers

3(5 + 6) + 7 - 2   Solve inside the parentheses first

3(11) + 7 - 2

33 + 5 = 38


2.

a.) m(3m + 4n)

2(3(2) + 4(3))

2(6 + 12)

2(18) = 36


b.) n²(m + p²)

(3)²(2 + (-5)²)

9(2 + 25)

9(27) = 243


c.) 3m(8 + n) + n²

3(2) (8 + 3) + 3²

6(11) + 9

66 + 9 = 75

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Answer:

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Step-by-step explanation:

This problem involves definite integration (anti-derivatives).

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and the ∫5dx term integrates to 5x + C.

The overall integral is:  

4 x^(3/2) + C + 5x + C. better expressed with just one C:

4 x^(3/2)         + 5x + C

We are told that the curve represented by  this function goes thru (4, 20).

This means that when x = 4, y = 20, and this info enables us to find the value of the constant of integration C:

20 = 4 · 4^(3/2)         + 5·4 + C, or:

20  =  4  (8)           + 20 + C

Then 0 = 32 + C, and so C = -32.

The equation of the curve is thus   4 x^(3/2)         + 5x -32

                   

           

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Answer:

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Answer:

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