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Leokris [45]
3 years ago
12

evaluate f(6) and f(6.1) and use the results to approximate f '(6). (round your answer to one decimal place.) f(x) = x(5 − x)

Mathematics
1 answer:
mote1985 [20]3 years ago
4 0
F(6) = 6(5 - 6) = 6(-1) = -6
f(6.1) = 6.1(5 - 6.1) = 6.1(-1.1) = -6.71

f'(6) ≈ (-6.71 - (-6))/(6.1 - 6) = -0.71/0.1 = -7.1
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The radius of the wheel of a bicycle is 14 inches. What is the distance that the bicycle covers after ten rotations? Use
ivolga24 [154]

Distance covered in 1 rotation = circumference of the wheel

                                                  = 2\pir

                                                  = 2 x \frac{22}{7} x 14

                                                  = 2 x 22 x 2

                                                  = 88 inches

Distance covered in 10 rotations = 88 x 10 = 880 inches

Therefore, the bike covers 880 inches after 10 rotations.

6 0
3 years ago
Graph each point on a coordinate plane. Name the quadrant in which each is located
vichka [17]

Answer:

14. Quadrant IV

13. Quadrant II

12. Quadrant III

11. Quadrant I

15. -17

16. -1

17. 7

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What is the surface area? 8m, 10m, 10m, 10m, 12m
Crazy boy [7]
8x2
10x2
10x2
10x2
12x2
equals.....
100m²
7 0
2 years ago
Which equation represents a circle whose center is located at (- 6, 2) and whose radius is sqrt(10) units?
azamat

Answer:

{(x  + 6)}^{2}  +  {(y - 2)}^{2}=10

Step-by-step explanation:

The equation of a circle with center (a,b) and radius r, is

{(x - a)}^{2}  +  {(y - b)}^{2}  =  {r}^{2}

From the question, the center of the circle is located at (-6,2) and the radius is

r =  \sqrt{10}

We substitute the center and radius to get:

{(x -  - 6)}^{2}  +  {(y - 2)}^{2}  =  {( \sqrt{10} })^{2}

Simplify to obtain:

{(x  + 6)}^{2}  +  {(y - 2)}^{2}=10

7 0
2 years ago
48 is what percent of 75
Dahasolnce [82]

Answer:

36

Step-by-step explanation:

Hope this helps!

8 0
3 years ago
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