Answer:
At 0.77 mi/min, Matt travels faster than Jennifer, who averages
only 0.67 mi/min.
Step-by-step explanation:
Average speed = distance/time
<em>For Samantha,
</em>
Average speed = 10/15
Average speed = 0.67 mi/min
<em>For Matt,
</em>
Average speed = 23/30
Average speed = 0.77 mi/min
Answer:
-17
Step-by-step explanation:
-16r=272
16r=-272
r=-17
Answer:
2.304e+15
Step-by-step explanation:
<h2>
<em>moo</em></h2>
Answer:
Step-by-step explanation:
The directional derivative of a function in a particular direction u is given as the dot product of the unit vector in the direction of u and the gradient of the function
g(x,y) = sin(π(x−5y)
∇g = [(∂/∂x)î + (∂/∂y)j + (∂/∂z)ķ] [sin(π(x−5y))
(∂/∂x) g = (∂/∂x) sin (πx−5πy) = π [cos(π(x−5y))]
(∂/∂y) g = (∂/∂y) sin (πx−5πy) = - 5π [cos (π(x−5y))]
∇g = π [cos(π(x−5y))] î - 5π [cos (π(x−5y))] j
∇g = π [cos (π(x−5y))] [î - 5j]
So, the question requires a direction vector and a point to fully evaluate this directional derivative now.
Answer:
x = -8
Step-by-step explanation:
Given the equation:
Note that
then
Rewrite the equation as
then
