Step-by-step explanation:
divide 3.5 by 5.0 (3.5 ÷ 5.0 = 0.7), then multiply 0.7 by 15.0 (0.7 × 15.0 = 10.5), and check by dividing (10.5 ÷ 15.0 = 7.0) the answer is 10.5
If you can use a calculator, enter (4/1/4)/(4/1/2) and you will get 1/2
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:
3x+2
Step-by-step explanation:
x+6/x+4+x-3/3
3x+6/4-3/3
3x+6/1/3
3x+6/3
3x+2
Answer:
As x goes to negative infinity, g(x) goes to zero.
As x goes to positive infinity, g(x) goes to zero.
(So the answer is the second option)
Step-by-step explanation:
We have the function 
First, let's look at what happens when we input smaller and smaller numbers
As we can see, as we input smaller and smaller numbers, the answer gets smaller.
Eventually, these fractions will be so small that they will get closer and closer to zero.
This same thing applies to larger and larger numbers, so the end behavior of each side will both be zero.
