simplify the following :
a) 49 t^2 p^6/ 14 t^3 × 21 p^4
b) (3^-2 + 2^-3)^3
Answers
Answer:
1.1(a). The point E can be obtained by folding the square along the bisector of
angle BAC, so that AB is folded onto the diagonal with B landing on E. If F is
the point where the bisector intersects B C, then B F folds to E F. Thus E F -1 AC
and BF = EF. Since L.EFC = 45° = L.ECF, FE = EC.
l.1(b). WC! = IBC! - IBFI = IAEI - ICEI = 21AEI - lAC! and IEC! =
lAC! - IAEI = lAC! - IBC!.
l.3(a).
n Pn qn rn
1 1 1 1
2 3 2 3/2 = 1.5
3 7 5 7/5 = 1.4
4 17 12 17/12 = 1.416666
5 41 29 41/29 = 1.413793
1.3(c). Clearly, rn > 1 for each n, so that from (b), rn+1 - rn and rn - rn-I have
opposite signs and
1
Irn+l - rnl < 41rn - rn-II·
Since r2 > 1 = rl, it follows that rl < r3 < r2. Suppose as an inducti
Step-by-step explanation:
Answer:
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Step-by-step explanation:
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