Answer:
dy/dx = -b/a cot α
Step-by-step explanation:
x² / a² + y² / b² = 1
Take derivative with respect to x.
2x / a² + 2y / b² dy/dx = 0
2y / b² dy/dx = -2x / a²
dy/dx = -b²x / (a²y)
Substitute:
dy/dx = -b²a cos α / (a²b sin α)
dy/dx = -b cos α / (a sin α)
dy/dx = -b/a cot α
Answer:
<em>29 minutes more</em>
Step-by-step explanation:
Let m represent minutes
changing the statement to algebra, since the second company charges a different rate at night and weekend we have the equation below;
$19.99 + $0.35m > $29.99
Subtract 19.99 from both sides to isolate m and we have;
$19.99 -$19.99 + $0.35 > $29.99 - $19.99
= $0,35m > $10.00
Divide both side by 0.35 to obtain the value of m;
> 
= m > 28.57
<em>m ⩾ 29 minutes</em>
<em>The second company's will be twenty nine minutes or more costlier than the first company</em>
Answer:
Step-by-step explanation:
y= 20x+40
y- is the cost of rental
x-number of days
20 is the slope
40-flat rate and the y-intercept is at (0,40)
Answer:

a. We get 56 heads out of 100 tosses.
We will use one sample proportion test
x = 56
n = 100



Formula of test statistic =
=
=
refer the z table for p value
p value = 0.8849
a. We get 560 heads out of 1000 tosses.
We will use one sample proportion test
x = 560
n = 1000



Formula of test statistic =
=
=
refer the z table for p value
p value = .000148
p value of part B is less than Part A because part B have 10 times the number the tosses.