Answer
1 and 0.89
Step-by-step explanation:
idrk tho
Answer:
The x-coordinate of the point changing at ¼cm/s
Step-by-step explanation:
Given
y = √(3 + x³)
Point (1,2)
Increment Rate = dy/dt = 3cm/s
To calculate how fast is the x-coordinate of the point changing at that instant?
First, we calculate dy/dx
if y = √(3 + x³)
dy/dx = 3x²/(2√(3 + x³))
At (x,y) = (1,2)
dy/dx = 3(1)²/(2√(3 + 1³))
dy/dx = 3/2√4
dy/dx = 3/(2*2)
dy/dx = ¾
Then we calculate dx/dt
dx/dt = dy/dt ÷ dy/dx
Where dy/dx = ¾ and dy/dt = 3
dx/dt = ¾ ÷ 3
dx/dt = ¾ * ⅓
dx/dt = ¼cm/s
The x-coordinate of the point changing at ¼cm/s
This is what the diagram is saying
(-4)+(-9)= -13
Answer:
<em>2.399</em>
Step-by-step explanation:
Given the trigonometry expression:
tan(sin^-1((-12/13))
We are to find the exact value
tan(sin^-1((-12/13)) = tan(sin^-1((-0.9231))
tan(sin^-1((-12/13)) = tan(-67.38)
Also note that tan(-theta) = -tan theta
tan(-theta) = -tan67.38
tan(-67.38) = -2.399
<em>The exact value is 2.399</em>
The total number of hours Vanessa work in a week is:
total work hours = (8 hours / day) * 5 day / week
total work hours = 40 hours per week
The total number of hours she did not work:
<span>total hours did not work = (90 minutes)(1 hour / 60
minutes) + (45 minutes)(1 hour / 60 minutes) + 2.5 hours</span>
total hours did not work = 4.75 hours
The amount of hours Vanessa work last week can be
calculated using the formula:
work hours = total work hours - total hours did not work
work hours = 40 hours – 4.75 hours
<span>work hours = 35.25 hours</span>
