For the given statement Sn, write the statements S1, Sk, and Sk+1.2 + 4 + 8 + . . . + 2n = 2n + 1 - 2
What will be an ideal response?
S1: 2 = 2(1)+1 - 2
Sk: 2 + 4 + 8 + . . . + 2k = 2k+1 - 2
Sk+1: 2 + 4 + 8 + . . . + 2(k+1) =2(k+1)+1 - 2
Sk+1: 2 + 4 + 8 + . . . + 2(k+1) =2(k+2) - 2
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Find the most general antiderivative.dx
A. 6x4 + 12x2 + 4x + C
B. x4 + 3x2 + 4x + C
C. 2x4 + 6x2 + 4x + C
D. 6x2 + 6 + C
Write the binomial expansion of the expression.(-3m - 3n)4
A. 81m4 + 5184m3n - 2916m2n2 + 324mn3 - 81n4 B. 81m4 + 5184m3n + 2916m2n2 + 324mn3 + 81n4 C. 81m4 + 324m3n + 486m2n2 + 324mn3 + 81n4 D. 81m4 + 324m3n - 486m2n2 + 324mn3 - 81n4
Solve the problem.The rectangular court shown in the figure requires 324 feet of fence. Once side of the court is against a building and needs no fence. What dimensions give the largest area?
A. 162 ft by 162 ft B. 40.5 ft by 81 ft C. 81 ft by 162 ft D. 81 ft by 81 ft
User row operations to change the matrix to reduced form.
A.
B.
C.
D.