Ind the area shared by the circles r=2cos(theta) and r=2sin(theta).
<span>i know the general formula for finding the area, but i don't know which is the outside one, and which is the inside circle. but i've tried both ways and am still not getting the right answer. </span>
so let's just say i'll try it with integral .5(4cos(x)^2-.5(4sin(x)^2)
<span>i can factor out a 2, giving me cos(x)^2-sin(x)^2. the integral of that, i believe, can be expressed as 4sin(2x). now i figured the limits of integration were from 0 to pi/4, because those are the two places the circles intersect. so evaluating there, i would get 4-0=4. but I've been told the answer is pi/2 -1. so where am i going wrong, because i'm way off.</span>
Answer:
5/8 tank
Step-by-step explanation:
if he uses 3/8 of the tank
he has (1- 3/8)
8/8 - 3/8 = 5/8 of the tank left
Answer:
Graph B
Step-by-step explanation:
The solutions to a quadratic equation are the points on which we have the graph of the curve touching the x-axis
Now the first thing we will do here is to solve the quadratic equation graph;
x^2 + 4x -12 = 0
x^2 +6x - 2x -12 = 0
x (x + 6) -2(x + 6) = 0
(x-2)(x + 6) = 0
x = 2 or -6
So the graph that touches the x-axis at the points x = 2 and x = -6 is the solution to the quadratic equation
Graph B is the closest to what we have as answer
In maths, a double negative is a positive, so -3 - -8 is the same as -3 + 8.
-3 +8 = 5
The answer is 5.
Answer:
x > 2
Step-by-step explanation: