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:
a) $13588.08
b) $688.08
Step-by-step explanation:
Melissa had to purchase $12,900 worth of machinery for her business.
She made a down payment of $2100 and after that made monthly payments of $478.67 for the business loan for the rest.
Given that after years of paying monthly payments of $478.67, she finally paid off the loan.
Assume that she took 2 years to repay the loan.
a) Therefore, the total amount Melissa ended up paying for the machinery was $[2100 + (478.67 × 24)] = $13588.08 (Answer)
b) Therefore, the amount of interest that Melissa pay on the loan is $(13588.08 - 12900) =$688.08. (Answer)
Minutes. Because you cannot concert minutes to hours.
1 hour= 60 Minutes
2 hours= 120 Minutes
