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Afina-wow [57]
3 years ago
9

1. Given the curve that is described by the equation r = cos Ф, find the angle that the tangent line makes when Ф = 120°

Mathematics
1 answer:
svp [43]3 years ago
4 0
Hi,

Here are the solutions.

Note that these are numbered in the same manner, and in the same order, as they were posted in.

1. A. 30 degree

15. D. 24 radians per sec square

<span>3. A (Note that answer A should read </span>1/2 ln(sin2x) + c. I am assuming that sin(sx) is a typo in that answer choice. None of the other answers are correct.)

2. D - cos cube 4x/12 + e

3. B. 1/3 e the power of 3x + c

4. A. the anti derivative of 1 + cos10x/2 dx

5. C. u = 2x cube - 4

6. A. sin the power of -1(x + 4)/5 + c

7. C. 1/3 x sin3x + 1/9 cos3x + c

8. C. 1/2 x e the power of 2x - 1/4e the power of 2x + c

9. B. 1/10 e the power of 5x + 1/2 e the power of x + c

10. B. 18 pie

11. B. 5pie/2 + 4

12. B. the square root of 5 pie

13. A. (0, 1.6)

14. A. 7.5(1 + e the power of -2)

<span>15. A. 7.5 the square root of 1 + 4e the power of -2 - e the power of -4
</span>
ALL DA ANSWERS
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Ahmed learned: "To multiply a whole number by ten, just place a zero at the end of the number." For
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Answer:

a) 2x^4 + 8x^3 + x^2 + 3x

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Hi!

a)

The product of a sum is the sum of the products, having said this:

(2x^3 + 8x^2 + x + 3) \times x = 2x^4 + 8x^3 + x^2 + 3x

b)

We can use the result from part a and consider x = 10.

First lets take the first polynomial

2x^3 + 8x^2 + x + 3 = 2(10)^3 + 8 (10)^2+10^1+3(10)^0

Knowing that every number (excepting probably 0, which could be undefined for some or 1 for others) to the power of 0 is one:

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(2x^3 + 8x^2 + x + 3) \times x = 2x^4 + 8x^3 + x^2 + 3x

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= 28130

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