50 60 50 30 40 20 10 Time t (min) Figure Ex-45 46. Show that f(x) is continuous but not differentiable at the indicated point. Sketch the graph of f. (a) f(x)=x, x= 0 (b) f(x)= Vx- 2)2, x 2 A5 3 Isoftingi ng12 47. Show that dlk sd mso fx)=x1, x<1 U62x> 1 2y SO 121, is continuous and differentiable at x 1. Sketch the graph 1s of f. T (1/M slob 48. Show that t5 fx)Jx2, x< x 2, 0u. is continuous but not differentiable at x = 1. Sketch the 250909 2l9 2i 010rw graph of f. 49. Show that 2.sto eg UC 2G 10 x sin (1/x), x # 0 1io S1 001 fx)=x sin (1/x), x0 x0 0, is continuous but not differentiable at x= 0. Sketch the graph of f near x = 0. (See Figure 1.6.6 and the remark following Example 3 in Section 1.6.) 50. Show that 55. fx2 sin (1/x), x# 0 10, fx) = 041 56. . Sketch the graph 1 at Temperat

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Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.