Chapter 3, Problem 38RE

In Exercises 43 and 44, find all derivatives of the function. 3 44. y = 120 43. y = 2

Explain the relationship between a function and the derivative by providing an example.

Sketch graph and find domain and range.

slope coefficient, how to find that

To determine the weather, a meteorologist uses the function T = x^2y^3z, where T represents the temperature in degrees Celsius in terms of the position in meters. A probe is sent in a straight line, determined by the direction (−2, −1, 2) passing through the point (1, −2,1). What is the rate of the temperature change as the probe passes through the point? A) −9.333 °C/mB) 16.000 °C/mC) −32.000 °C/mD) 5.333 °C/m

In Exercises 5–8, determine if the function is even or odd. 5. secant6. tangent 7. cosecant8. cotangent

A cardiac monitor is used to measure the heart rate of a patient after surgery. It complies the number of heartbeats after t minutes. When data in the table are graphed, the slope of the tangent line represents the heart rate in beats per minute. t (min) Heartbeats (b) t-38 and t - 42 (c) t-40 and t - 42 36 (d) t-42 and t-44 38 2,503 2,639 40 2,773 The monitor estimates this value by calculating the slope of a secant line. Use the data to estimate the patient's heart rate after 42 minutes using the secant line between the points with the given values of t. (Round your answers to one decimal place.) (a) t-36 and t-42 42 44 2,903 3,033

HELP 5

Lets test a different hypothesis.  Maybe it is possible that the area of a square can be determined using a ratio based on the length of one side.  Create a graph that shows the ratio of the (side of a square)/(area of a square) as a function of the length of any side (it is a square, all sides are the same).   You could graph it as y=length/area For a 1" square, the ratio of side/area is _____________________________ For a 5" square, the ratio is______________________________ For a 0.1" square, the ratio is_________________________ Can we calculate the area of a square using a ratio of one side?  Does this hypothesis hold true for all sizes of squares?