The document provides calculations to estimate the total cost of drilling at increasing depths. It calculates the costs from drilling at depths of $24/ft, $36/ft, $56/ft, and $84/ft, finding the total to be $146,000. It then uses trapezoids to estimate the cost, finding a higher estimate because the trapezoids include some area outside the curve. Using smaller trapezoids, it estimates the cost to be $144,500, which is closer to the actual cost.
It’s a given that much of our success as practitioners depends on our ability to foster meaningful relationships with our colleagues and customers. But what about our relationship with ourselves? When we ignore our emotions, act against our values, and become indifferent to our surroundings, we lose who we really are and run a much greater risk of not achieving our clients’ goals (and our own). In this talk, we'll explore how presence, adaptability, empathy, and influence can be our most effective design tools. And we'll address how to cultivate these qualities through intellectual, emotional, and physical practices we can integrate into our everyday routines.
It’s a given that much of our success as practitioners depends on our ability to foster meaningful relationships with our colleagues and customers. But what about our relationship with ourselves? When we ignore our emotions, act against our values, and become indifferent to our surroundings, we lose who we really are and run a much greater risk of not achieving our clients’ goals (and our own). In this talk, we'll explore how presence, adaptability, empathy, and influence can be our most effective design tools. And we'll address how to cultivate these qualities through intellectual, emotional, and physical practices we can integrate into our everyday routines.
First principle, power rule, derivative of constant term, product rule, quotient rule, chain rule, derivatives of trigonometric functions and their inverses, derivatives of exponential functions and natural logarithmic functions, implicit differentiation, parametric differentiation, L'Hopital's rule
1. $24/ft $84/ft.
The price increases because it is harder and slower to drill at increased depths.
500
10
28.4 squares x $5000/square = $142,000
T1 = (0.5)(1000)(24+36)
T2 = (0.5)(1000)(36+56)
T3 = (0.5)(1000)(56+84)
Ttotal = 1000[0.5(24) + 36 + 56 + 0.5(84)]
= $146,000
Overestimate
Higher, because trapezoids include small area outside of region under curve.
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