1 Foundations 2 Solving Linear Equations 3 Graphs And Functions 4 Systems Of Linear Equations 5 Polynomials And Polynomial Functions 6 Factoring 7 Rational Expressions And Functions 8 Roots And Radicals 9 Quadratic Equations And Functions 10 Exponential And Logarithmic Functions 11 Conics 12 Sequences, Series And Binomial Theorem Chapter12: Sequences, Series And Binomial Theorem
12.1 Sequences 12.2 Arithmetic Sequences 12.3 Geometric Sequences And Series 12.4 Binomial Theorem Chapter Questions Section12.4: Binomial Theorem
Problem 12.61TI: Use Pascal’s Triangle to expand (x+y)5. Problem 12.62TI: Use Pascal’s Triangle to expand (p+q)7. Problem 12.63TI: Use Pascal’s Triangle to expand (x+2)4. Problem 12.64TI: Use Pascal’s Triangle to expand (x+1)6. Problem 12.65TI: Use Pascal’s Triangle to expand (2x3)4. Problem 12.66TI: Use Pascal’s Triangle to expand (2x1)6. Problem 12.67TI: Evaluate each binomial coefficient: (a)(61) (b)(88) (c)(50) (d)(73) Problem 12.68TI: Evaluate each binomial coefficient: (a)(21) (b)( 11 11) (c)(90) (d)(65) Problem 12.69TI: Use the Binomial Theorem to expand (x+y)5. Problem 12.70TI: Use the Binomial Theorem to expand (m+n)6. Problem 12.71TI: Use the Binomial Theorem to expand (x3)5. Problem 12.72TI: Use the Binomial Theorem to expand (y1)6. Problem 12.73TI: Use the Binomial Theorem to expand (3x2y)5. Problem 12.74TI: Use the Binomial Theorem to Expand (4x3y)4. Problem 12.75TI: Find the third term of (x+y)6. Problem 12.76TI: Find the fifth term of (a+b)8. Problem 12.77TI: Find the coefficient of the x5 term of (x+4)8. Problem 12.78TI: Find the coefficient of the x4 term of (x+2)7. Problem 192E: In the following exercises, expand each binomial using Pascal’s Triangle. 192. (x+y)4 Problem 193E: In the following exercises, expand each binomial using Pascal’s Triangle. 193. (a+b)8 Problem 194E: In the following exercises, expand each binomial using Pascal’s Triangle. 194. (m+n)10 Problem 195E: In the following exercises, expand each binomial using Pascal’s Triangle. 195. (p+q)9 Problem 196E: In the following exercises, expand each binomial using Pascal’s Triangle. 196. (xy)5 Problem 197E: In the following exercises, expand each binomial using Pascal’s Triangle. 197. (ab)6 Problem 198E: In the following exercises, expand each binomial using Pascal’s Triangle. 198. (x+4)4 Problem 199E: In the following exercises, expand each binomial using Pascal’s Triangle. 199. (x+5)3 Problem 200E: In the following exercises, expand each binomial using Pascal’s Triangle. 200. (y+2)5 Problem 201E: In the following exercises, expand each binomial using Pascal’s Triangle. 201. (y+1)7 Problem 202E: In the following exercises, expand each binomial using Pascal’s Triangle. 202. (z3)5 Problem 203E: In the following exercises, expand each binomial using Pascal’s Triangle. 203. (z2)6 Problem 204E: In the following exercises, expand each binomial using Pascal’s Triangle. 204. (4x1)3 Problem 205E: In the following exercises, expand each binomial using Pascal’s Triangle. 205. (3x1)5 Problem 206E: In the following exercises, expand each binomial using Pascal’s Triangle. 206. (3x4)4 Problem 207E: In the following exercises, expand each binomial using Pascal’s Triangle. 207. (3x5)3 Problem 208E: In the following exercises, expand each binomial using Pascal’s Triangle. 208. (2x+3y)3 Problem 209E: In the following exercises, expand each binomial using Pascal’s Triangle. 209. (3x+5y)3 Problem 210E: In the following exercises, evaluate. 210. (a) (81) (b) ( 10 10) (c) (60) (d) (93) Problem 211E: In the following exercises, evaluate. 211. (a) (71) (b) (44) (c) (30) (d) ( 108) Problem 212E: In the following exercises, evaluate. 212. (a) (31) (b) (99) (c) (70) (d) (53) Problem 213E: In the following exercises, evaluate. 213. (a) (41) (b) (55) (c) (80) (d) ( 119) Problem 214E: In the following exercises, expand each binomial. 214. (x+y)3 Problem 215E: In the following exercises, expand each binomial. 215. (m+n)5 Problem 216E: In the following exercises, expand each binomial. 216. (a+b)6 Problem 217E: In the following exercises, expand each binomial. 217. (s+t)7 Problem 218E: In the following exercises, expand each binomial. 218. (x2)4 Problem 219E: In the following exercises, expand each binomial. 219. (y3)4 Problem 220E: In the following exercises, expand each binomial. 220. (p1)5 Problem 221E: In the following exercises, expand each binomial. 221. (q4)3 Problem 222E: In the following exercises, expand each binomial. 222. (3xy)5 Problem 223E: In the following exercises, expand each binomial. 223. (5x2y)4 Problem 224E: In the following exercises, expand each binomial. 224. (2x+5y)4 Problem 225E: In the following exercises, expand each binomial. 225. (3x+4y)5 Problem 226E: In the following exercises, find the indicated term in the expansion of the binomial. 226. Sixth... Problem 227E: In the following exercises, find the indicated term in the expansion of the binomial. 227. Fifth... Problem 228E: In the following exercises, find the indicated term in the expansion of the binomial. 228. Fourth... Problem 229E: In the following exercises, find the indicated term in the expansion of the binomial. 229. Seventh... Problem 230E: In the following exercises, find the coefficient of the indicated term in the expansion of the... Problem 231E: In the following exercises, find the coefficient of the indicated term in the expansion of the... Problem 232E: In the following exercises, find the coefficient of the indicated term in the expansion of the... Problem 233E: the following exercises, find the coefficient of the indicated term in the expansion of the... Problem 234E: In the following exercises, find the coefficient of the indicated term in the expansion of the... Problem 235E: the following exercises, find the coefficient of the indicated term in the expansion of the... Problem 236E: your own words explain how to find the rows of the Pascal's Triangle. Write the first five rows of... Problem 237E: In your own words, explain the pattern of exponents for each variable in the expansion of. Problem 238E: In your own words, explain the difference between (a+b)n and (ab)n. Problem 239E: your own words, explain how to find a specific term in the expansion of a binomial without expanding... Problem 12.78TI: Find the coefficient of the x4 term of (x+2)7.
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Evaluate the indefinite integral.
Transcribed Image Text: x!/3
dx
x4/3 + 6
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
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