Answer:Divergent
Step-by-step explanation:
Given
Improper Integral I is given as
Integration of is
I tends to so Integral is divergent in nature
Answer: See below
The line goes through -4 on the x-axis (horizontal line) and 0 on the y-axis. Therefore the x-intercept is (-4, 0)
The line goes through -8 on the y-axis (vertical line) and 0 on the x-axis. Therefore the y-intercept is (0, -8)
Answer:
Option (1)
Step-by-step explanation:
Parent function for both parabolas graphed is, y = x²
For the large parabola,
This parabola is formed by translating the parent function 4 units downwards.
So the equation will be, y = x² - 4
Now graph of the inequality shows the dotted line with shaded area inside the parabola,
Equation of the parabola will be,
y > x² - 4
Similarly, equation of the other parabola will be,
y < x² + 6 [Since shaded region is the region outside the dotted lines of the parabola]
So the system of inequalities will be,
y > x² - 4
y < x² + 6
Therefore, Option (1) will be the answer.
Answer:
3.9X10^-4
Step-by-step explanation:
The value is increasing so your exponent increases