5 Steps to a 5 AP Calculus BC 2019
362 STEP 4. Review the Knowledge You Need to Score High Step 2: For three decimal place accuracy, we want to find the value of n ...
Series 363 Determine whether the series ∑∞ n= 1 n n^2 + 1 converges or diverges. Answer:nlim→∞ n n^2 + 1 1 n =nlim→∞ n^2 n^2 + ...
364 STEP 4. Review the Knowledge You Need to Score High ∑∞ n= 1 1 √ n , which is ap-series withp= 1 2 , and therefore diverges. ...
Series 365 For problems 6–8, determine whether each series converges absolutely, converges conditionally, or diverges. 6. ∑∞ n= ...
366 STEP 4. Review the Knowledge You Need to Score High By the ratio test, limn→∞ 1 (n+1)· 2 n+^1 · n· 2 n 1 =nlim→∞ n 2(n+1) ...
Series 367 x/= √ 5 7 . Therefore,f(x) is a strictly decreasing function forx≥1 and x/= √ 5 7 . Thus, for the series ∑∞ n= 1 (−1) ...
368 STEP 4. Review the Knowledge You Need to Score High Since ∑∞ n= 1 1 n diverges, this series diverges as well. Whenx= 2 a, th ...
Series 369 Begin with the known seriesf(x)= 1 1 −x = ∑∞ n= 0 xn= 1 +x+x^2 +x^3 +··· and replacexwith−x^2. Then 1 1 +x^2 = 1 1 ...
370 STEP 4. Review the Knowledge You Need to Score High Integrate by parts, usingu=lnx, dv=x^3 dx,du= 1 x dx,v= x^4 4 . Then ∫ ...
STEP 5 Build Your Test-Taking Conf idence AP Calculus BC Practice Exam 1 AP Calculus BC Practice Exam 2 ...
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AP Calculus BC Practice Exam 1 373 AP Calculus BC Practice Exam 1 ANSWER SHEET FOR MULTIPLE-CHOICE QUESTIONS 1 A B C D 2 A B C D ...
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AP Calculus BC Practice Exam 1 375 Section I---Part A Number of Questions Time Use of Calculator 30 60 Minutes No Directions: Us ...
376 STEP 5. Build Your Test-Taking Confidence What is lim Δx→ 0 sin ( π 3 +Δx ) −sin ( π 3 ) Δx ? (A) − 1 2 (B) 0 (C) 1 2 (D) ...
AP Calculus BC Practice Exam 1 377 x f y 0–1 The graph offis shown above and f is twice differentiable. Which of the following ...
378 STEP 5. Build Your Test-Taking Confidence A functionfis continuous on [−1, 1] and some of the values offare shown below: x ...
AP Calculus BC Practice Exam 1 379 2 1 –1^0123 –1 –2 f y x The graph offfor− 1 ≤x≤3 consists of two semicircles, as shown above ...
380 STEP 5. Build Your Test-Taking Confidence If ∫k −k f(x)dx= 2 ∫ 0 −k f(x)dxfor all positive values ofk, then which of the f ...
AP Calculus BC Practice Exam 1 381 ab 0 f y x The graph offis shown above, and g(x)= ∫x a f(t)dt,x>a. Which of the followin ...
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