Answer:
D. 5/24 ft²
Step-by-step explanation:
A = LW
A = 5/8 ft × 1/3 ft
A = 5/24 ft²
Given the position function <em>s(t)</em>, you can get the acceleration function by differentiating <em>s</em> twice:
velocity = <em>s'(t)</em> = -5 sin(<em>t </em>) + 3 cos(3<em>t</em> )
acceleration = <em>s''(t)</em> = -5 cos(<em>t</em> ) - 9 sin(3<em>t</em> )
Then when <em>t</em> = <em>π</em>, the particle's acceleration is
<em>s''(π)</em> = -5 cos(<em>π</em>) - 9 sin(3<em>π</em>)
… = -5 • (-1) - 9 • 0 = 5
4 is the X variable so it means it is 4 weeks after the kitten is born.
14 is the Y variable so it means it is 14 ounces after 4 (this is the X variable) weeks.
Answer:
The slope of tangent at point (1,-2) is
.
Step-by-step explanation:
The given equation of ellipse is

Differentiate both sides with respect to x.





Calculate the value of \frac{dy}{dx} at (1,-2).



Therefore the slope of tangent at point (1,-2) is
.