5 Steps to a 5 AP Calculus AB 2019 - William Ma

MA 3972-MA-Book April 11, 2018 16:1 302 STEP 4. Review the Knowledge You Need to Score High y g(t) t (^0321) 1 1 Figure 13.5-1 ...

MA 3972-MA-Book April 11, 2018 16:1 Areas and Volumes 303 The base of a solid is the region bounded by the linesy=x,x=1, and th ...

MA 3972-MA-Book April 11, 2018 16:1 304 STEP 4. Review the Knowledge You Need to Score High Find the area of the region bounded ...

MA 3972-MA-Book April 11, 2018 16:1 Areas and Volumes 305 13.7 Cumulative Review Problems (Calculator) indicates that calculator ...

MA 3972-MA-Book April 11, 2018 16:1 306 STEP 4. Review the Knowledge You Need to Score High (See Figure 13.8-1.) y x x = – 1 x ...

MA 3972-MA-Book April 11, 2018 16:1 Areas and Volumes 307 (See Figure 13.8-4.) Trapezoid Rule = b−a 2 n ( f(a)+ 2 f(x 1 ) + 2 ...

MA 3972-MA-Book April 11, 2018 16:1 308 STEP 4. Review the Knowledge You Need to Score High You can use the symmetry of the regi ...

MA 3972-MA-Book April 11, 2018 16:1 Areas and Volumes 309 Using the Disc Method: V=π ∫ 1 − 1 (y^2 +1)^2 dy =π ∫ 1 − 1 (y^4 + 2 y ...

MA 3972-MA-Book April 11, 2018 16:1 310 STEP 4. Review the Knowledge You Need to Score High Step 1: x^2 +y^2 = 4 ⇒y^2 = 4 −x^2 ⇒ ...

MA 3972-MA-Book April 11, 2018 16:1 Areas and Volumes 311 (See Figure 13.8-14.) 8 y B (2, 8) R 2 0 A (2, 0) x Figure 13.8-14 U ...

MA 3972-MA-Book April 11, 2018 16:1 312 STEP 4. Review the Knowledge You Need to Score High Area of RectII = f(6)Δx 2 =(3.61)(4) ...

MA 3972-MA-Book April 11, 2018 16:1 Areas and Volumes 313 Step 3: Use the [Zero] function and obtainx=2 fory 2. Step 4: Use the ...

MA 3972-MA-Book April 11, 2018 16:1 314 STEP 4. Review the Knowledge You Need to Score High (a) Point of Intersection: Use the [ ...

MA 3972-MA-Book April 11, 2018 16:5 CHAPTER 14 Big Idea 3: Integrals and the Fundamental Theorems of Calculus More Applications ...

MA 3972-MA-Book April 11, 2018 16:5 316 STEP 4. Review the Knowledge You Need to Score High 14.1 Average Value of a Function Mai ...

MA 3972-MA-Book April 11, 2018 16:5 More Applications of Definite Integrals 317 Example 2 Givenf(x)=x^2 , verify the hypotheses ...

MA 3972-MA-Book April 11, 2018 16:5 318 STEP 4. Review the Knowledge You Need to Score High Example 2 The graph of a functionfis ...

MA 3972-MA-Book April 11, 2018 16:5 More Applications of Definite Integrals 319 14.2 Distance Traveled Problems Summary of Formu ...

MA 3972-MA-Book April 11, 2018 16:5 320 STEP 4. Review the Knowledge You Need to Score High (a) Displacement= ∫t 2 t 1 v(t)dt = ...

MA 3972-MA-Book April 11, 2018 16:5 More Applications of Definite Integrals 321 Total Distance Traveled ∫ 2 1 v(t)dt+ ∫ 3 2 −v(t ...