5 Steps to a 5 AP Calculus BC 2019
142 STEP 4. Review the Knowledge You Need to Score High (See Figure 7.9-2.) Thus,fis increasing on [2, 3] and concave downward ...
Graphs of Functions and Derivatives 143 Step 7:Sketch the graph. (See Figure 7.9-3.) Figure 7.9-3 Step 1: Domain: all real numb ...
144 STEP 4. Review the Knowledge You Need to Score High (b) Andfhas the smallest value atx=x 4. (c) A change of concavity occurs ...
Graphs of Functions and Derivatives 145 Sincef′(3) exists and a change of concavity occurs atx=3,fhas a point of inflection atx= ...
146 STEP 4. Review the Knowledge You Need to Score High [–4,4] by [–1,4] Figure 7.9-10 (See Figure 7.9-11.) Entery 1 =cos(x)∗ ( ...
Graphs of Functions and Derivatives 147 7.10 Solutions to Cumulative Review Problems (x^2 +y^2 )^2 = 10 xy 2 ( x^2 +y^2 ) ( 2 ...
148 STEP 4. Review the Knowledge You Need to Score High (e)A possible graph is shown in Figure 7.10-1. (–1,0) 0 1 2 –1 1 2 3 4 p ...
CHAPTER 8 Big Idea 2: Derivatives Applications of Derivatives IN THIS CHAPTER Summary:Two of the most common applications of der ...
150 STEP 4. Review the Knowledge You Need to Score High Differentiate each term of the equation with respect to time. Substitut ...
Applications of Derivatives 151 Letr, hbe the radius and height of the cone respectively. Sinceh= 3 r, the volume of the coneV= ...
152 STEP 4. Review the Knowledge You Need to Score High r 4 h 10 Figure 8.1-2 Thus, you can reduce the equation to one variable: ...
Applications of Derivatives 153 Solution: Step 1: Letsbe the height of the man’s shadow;xbe the distance between the man and the ...
154 STEP 4. Review the Knowledge You Need to Score High 200 m x y θ Camera Balloon Figure 8.1-5 Step 1: Letxbe the distance betw ...
Applications of Derivatives 155 8.2 Applied Maximum and Minimum Problems Main Concepts:General Procedure for Solving Applied Max ...
156 STEP 4. Review the Knowledge You Need to Score High Step 3: Using the distance formula, Z= √ (x− 19 )^2 +(y− 0 )^2 = √ (x− 1 ...
Applications of Derivatives 157 Solution: Step 1: Draw a diagram. (See Figure 8.2-2.) y = – x + 2 y y x x P(x,y) 0 1 2 Figure 8. ...
158 STEP 4. Review the Knowledge You Need to Score High Example Volume Problem (with calculator) If an open box is to be made us ...
Applications of Derivatives 159 Step 6: Using the Second Derivative Test, enterd(x∗(20− 2 x)∗(20− 2 x),x,2)|x= 10 3 and obtain−8 ...
160 STEP 4. Review the Knowledge You Need to Score High Example 2 Given the cost functionC(x)= 500 + 3 x+ 0. 01 x^2 and the dema ...
Applications of Derivatives 161 Using your calculator, find the shortest distance between the point (4, 0) and the line y=x. (S ...
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