Sketch the graph of the relation using any extrema, intercepts, symmetry, and asymptotes. ​

The resistance R of a certain type of resistor is where R is measured in ohms and the temperature T is measured in degrees Celsius. Use a computer algebra system to find the critical number of the function. Round numerical values in your answer to the nearest whole number. ​

Locate the absolute extrema of the function on the closed interval . Round your answers to four decimal places. ​

Find the relative minima of on the interval by applying the First Derivative Test. Round numerical values in your answer to three decimal places. ​

Find the point on the graph of the function that is closest to the point  . Round all numerical values in your answer to four decimal places. ​

A rectangle is bounded by the x- and y-axes and the graph of (see figure). What length and width should the rectangle have so that its area is a maximum? ​ ​

Find the critical number of the function . ​

Use the graph as shown to determine the following limits, and discuss the continuity of the function at x= -3. ​ (i) (ii) (iii)   ​

Let ​ Determine the following limit. (Hint: Use the graph to calculate the limit.) ​ ​

Let and . Find the limit. ​ ​