What rectangles?
attach a link or pic
Answer:
X from 0 to 21
Y from 0 to 7
Z from 0 to 3
Step-by-step explanation:
Since we are being asked by the integration limits in first octant (positive x, positive y and positive z) we need to know where does the plane intersect this axes. For this we have:
for x=0 and y=0
7z=21
z=3
for x=0 and z=0
3y=21
y=7
for z=0 and y=0
x=21
This means that the integration limits are:
X from 0 to 21
Y from 0 to 7
Z from 0 to 3
-10x - 15y = -30
-10x + 30 = 15y
(30 - 10x) / 15 = y
(30/15) - (10x/15) = y
2 - 2x/3 = y
Answer: y = -2x/3 + 2 or y = 2- 2x/3
Answer:
x = -4/5 and -1/2
Step-by-step explanation:
"Finding zeroes" means find the x-values that make f(x) = 0, so we have...
0 = 10x² + 9x + 2
Use quadratic equation to solve...
x = [-9 ± √(9² - 4(10)(2))]/[2(10)]
x = [-9 ± √(81 - 80)]/20
x = [-9 ± √1]/20
x = [-9 ± 1]/20
x = (-9 + 1)/20 and (-9 - 1)/20
x = -8/20 and -10/20
x = -4/5 and -1/2
Answer:

Step-by-step explanation:
Given that,
Speed of a car, v = 120 km/s
It takes 120 minutes
v = 120000 m/s
t = 7200 s
We need to find the distance covered. Speed is given by :
v = distance/time

So, the distance covered is
.