5 Steps to a 5 AP Calculus BC 2019
122 STEP 4. Review the Knowledge You Need to Score High Domain: all real numbers; Range: all real numbers No symmetry Relative ...
Graphs of Functions and Derivatives 123 [–4,4] by [–1,2] Figure 7.3-3 TIP • When evaluating a definite integral, you do not have ...
124 STEP 4. Review the Knowledge You Need to Score High Example 2 Given the graph of f′in Figure 7.4-2, find where the functionf ...
Graphs of Functions and Derivatives 125 (e) A sketch of the graph of fis shown in Figure 7.4-3. Figure 7.4-3 Example 3 Given the ...
126 STEP 4. Review the Knowledge You Need to Score High (c) The function f is increasing on (−∞,−4], [2, 4], and [8,∞) and is de ...
Graphs of Functions and Derivatives 127 (–4,6) (3,2) f(x) y 10–1–2–3–4 2 3 x Figure 7.4-5 Example 5 Iff(x)= ∣∣ ln(x+1) ∣∣ , find ...
128 STEP 4. Review the Knowledge You Need to Score High 7.5 Parametric, Polar, and Vector Representations Main Concepts:Parametr ...
Graphs of Functions and Derivatives 129 Polar Equations The polar coordinate system locates points by a distance from the origin ...
130 STEP 4. Review the Knowledge You Need to Score High (continued) SHAPE TYPICAL EQUATION NOTES Rose r=asin(nθ) Length of petal ...
Graphs of Functions and Derivatives 131 Example 1 Determine the symmetry, if any, of the graph ofr= 2 +4 cosθ. Step 1: Since 2+4 ...
132 STEP 4. Review the Knowledge You Need to Score High Example 1 Find the magnitude and direction of the vector represented by〈 ...
Graphs of Functions and Derivatives 133 Parallel and Perpendicular Vectors Ifr 2 =Cr 1 , thenr 1 andr 2 are parallel. Ifr 1 ·r 2 ...
134 STEP 4. Review the Knowledge You Need to Score High Iff′′(x)= 2 x−6 andf′is continuous, find the values ofxwhere fhas a poi ...
Graphs of Functions and Derivatives 135 Answer: fhas a relative minimum atx=−2. (See Figure 7.6-6.) f′ x f –2 0 decr. incr. –+ F ...
136 STEP 4. Review the Knowledge You Need to Score High The path of an object is defined byx= 2 t,y=t+1. Find the location of t ...
Graphs of Functions and Derivatives 137 7.7 Practice Problems Part A The use of a calculator is not allowed. Iff(x)=x^3 −x^2 − ...
138 STEP 4. Review the Knowledge You Need to Score High The graph offis shown in Figure 7.7-4 and fis twice differentiable. Whi ...
Graphs of Functions and Derivatives 139 Given the graph off′in Figure 7.7-7, find where the functionf (a)has its relative extr ...
140 STEP 4. Review the Knowledge You Need to Score High A functionfis continuous on the interval [−1, 4] withf(−1)=0 andf(4)=2 ...
Graphs of Functions and Derivatives 141 Step 3:Check intervals. 0 π 2 π [] concave upwarddownward concave f ′′ +– f Step 4:Check ...
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