<h3>Answers:</h3>
- (a) The function is increasing on the interval (0, infinity)
- (b) The function is decreasing on the interval (-infinity, 0)
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Explanation:
You should find that the derivative is entirely negative whenever x < 0. This suggests that the function f(x) is decreasing on this interval. So that takes care of part (b).
The interval x < 0 is the same as -infinity < x < 0 which then translates to the interval notation (-infinity, 0)
Similarly, you should find that the derivative is positive when x > 0. So the function is increasing on the interval (0, infinity)
Answer: See explanation
Step-by-step explanation:
From the question, we are informed that the areas of the kitchen, playroom, and dining room are in the ratio 4 : 3 : 2 and that the combined area of these three rooms is 189 square feet.
Therefore, Kitchen area = 4/(4+3+2) × 189 = 4/9 × 189 = 84 square feet
Playroom area = 3/(4+3+2) × 189 = 3/9 × 189 = 63 square feet
Dining room area = 2/(4+3+2) × 189 = 2/9 × 189 = 42 square feet
Answer:
No because the a and b lengths are too big and the c length is too small
Step-by-step explanation:
a^2 + b^2 = c^2
5^2 + 7.5^2 = 2.5^2
25 + 56.25 = 6.25
