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Question: 1. Given that f and g are differentiable everywhere, g is the inverse of f, and that f(3) = 4, f'(3) = 6, f'(4) = 7, find g'(4).
2. An increasing function f(x) has the value f(10) = 5. Explain how you know that the calculations f'(10) = 8 and (f-1) (5) = 8 cannot both be correct.
Find the cost, revenue and profit functions. Find the (x, y) coordinates of the breakeven point. Also graph the cost and revenue functions on the same graph and indicate the breakeven point.
Find the slope of the tangent line to the curve
Solve the problem. The population of a certain species of fish introduced into a lake is described by the logistic equation G(t) = (10,000) / 1+19e^(-1.2t),
If the water level is rising at a rate of 24 cm/min when the height of the water is 3.5 m, find the rate at which water is being pumped into the tank.
Explain in your own words what the author of your textbook means by the statement, “If you add percents, you often obtain incorrect results.” Determine other kinds of errors that can contribute to inaccurate percent results.
What is the largest number of yam chunks obtainable using exactly three cuts? It is much more difficult to draw cut yams than to draw sliced pizza.
Hydroelectric power is electric power generated by the force of moving water. Figure shows the annual percent growth in hydroelectric power consumption.
Write an equation for a function that has a graph with the given transformations. the shape y=x2 is vertically strecthed by a factor of 10, and the resulting graph is reflected across the x-axis.
Write a 250- to 325 -word paper in which you identify an organization (Kmart) that have missed opportunities for innovation and/ are on the verge of closing down because a more innovative competitor has overtaken the market.
If you had to rank the eight key elements of power from most important to least, what would your list look like? In your response, be sure to explain why you thought some of the components of power were more important than the others and be sure to g..
An open box is formed by cutting squares with side lengths of 4 inches from each corner of a square piece of paper. What is a side length of the original paper if the box has a volume of 784 cubic inches?
Again, we will be going through a variety of hypothetical scenarios. For each scenario, you need to explain the reasoning behind your answer and use at least one reference from the background materials to support your answer. Overall you need to h..
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