Zadanie 2b
(i) Show that r=−c/m. (ii) For admissible L, show that L(x) = mx + 2m2/(m − 1). (iii) State the further excluded value of m.
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Znaleziono 1343 zadania
(i) Show that r=−c/m. (ii) For admissible L, show that L(x) = mx + 2m2/(m − 1). (iii) State the further excluded value of m.
Exactly three admissible L have integer r,m,c. One is L(x) = 3x + 9. Use the general expression to find the other two. For an admissible linear function, c = 2m2/(m − 1) and r = −c/m, with m ≠ 0, 1.
For the cubic family, state (i)r1 + r2 and (ii)r1r2 in terms of a,b,c.
For an admissible cubic F: (i) express r2 − r1 in terms of a,b; (ii) use the sum and difference of the stationary abscissas to show that r1 = (3a2 − 3ab − 2b)/(6a); (iii) use this result to show that b=0 or a=−1/3.
Determine the two admissible cubic functions with b=0.
Now set a=−1/3. (i) Express r₁ in terms of b. (ii) Hence or otherwise find the exact pairs (b,c) making F admissible. Give each value as a rational expression involving a square root.
Solve for −π≤x≤π.
Estimate the visitor count for a nine-hour opening period.
Find a regression equation suitable for predicting bookings x from visitor count y.
Hence predict bookings for a nine-hour opening period.