3.3 Increasing and Decreasing and the First Derivative Test
... Set the derivative equal to zero and solve for x. Put the critical numbers you found on a number line (dividing it into regions). Pick a value from each region, plug it into the first derivative and note whether your result is positive or negative. Indicate where the function is increasing or decrea ...
... Set the derivative equal to zero and solve for x. Put the critical numbers you found on a number line (dividing it into regions). Pick a value from each region, plug it into the first derivative and note whether your result is positive or negative. Indicate where the function is increasing or decrea ...
Module MA1132 (Frolov), Advanced Calculus Tutorial Sheet 3
... 1. Sketch the domain of f (you may use Mathematica). Use solid lines for portions of the boundary included in the domain and dashed lines for portions not included. Determine whether the domain is an open set, closed set, or neither. (a) f (x, y) = ln(x2 − y 2 ) p (b) f (x, y) = (x2 + 2x + y 2 )(−1 ...
... 1. Sketch the domain of f (you may use Mathematica). Use solid lines for portions of the boundary included in the domain and dashed lines for portions not included. Determine whether the domain is an open set, closed set, or neither. (a) f (x, y) = ln(x2 − y 2 ) p (b) f (x, y) = (x2 + 2x + y 2 )(−1 ...
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... 4. The period of a pendulum is the time it takes to swing back and forth. The period, t (in seconds of a pendulum of length d (in inches) is given by d = 9.78t 2 . The longest pendulum, in the world is part of a clock on a building in Tokyo, Japan. This pendulum is about 888 inches long. What is the ...
... 4. The period of a pendulum is the time it takes to swing back and forth. The period, t (in seconds of a pendulum of length d (in inches) is given by d = 9.78t 2 . The longest pendulum, in the world is part of a clock on a building in Tokyo, Japan. This pendulum is about 888 inches long. What is the ...
H. Algebra 2 1.1 Notes 1.1 (Day One) Domain, Range, and End
... There are some real-world situations that can be modeled by mathematical functions, but the set of all real numbers would not make sense for the situation. In these cases, we need to restrict the domain. If the rule of a function and its restricted domain are given, you can draw the graph of the fun ...
... There are some real-world situations that can be modeled by mathematical functions, but the set of all real numbers would not make sense for the situation. In these cases, we need to restrict the domain. If the rule of a function and its restricted domain are given, you can draw the graph of the fun ...
