4t^2 + 4t + 14
This parabola opens upward.....no max possible
Note
3 + 4 + 5 = 3 *4
13 + 14 + 15 = 3 * 14...... etc.
3 [ 4 + 14 + 24 + ....... + 994 ] =
No. of terms = 100
Sum = 3 [ 994 + 4 ] [ 100 / 2 ] = 149,700
t^2 + 4t - 96
t that produces the smallest value = -4 / (2 * 1) = -2
-5s^2 - 16s + 39
This is a parabola that opens downward.....it has no minimum value
Check alan's answer here
https://web2.0calc.com/questions/please-help_63707
9 points
Laverne says 2 7 12 17
Sum
2 9 21
12 is the number
0 + 55d = 1/5
55d = 1/5
d = 1 / [ 5 * 55] = 1 / 275
70th term is 0 + 60d = 60 / 275 =12 / 55
S70 = [ 12/55 + 0 ] [70 -10 + 1 ] / 2 =
[12/55] * 61 / 2 =
366 / 55
\($10 \sqrt{2 }\)
Let the sides be a , b
2a + 2b =40
a + b =20 square both sides
a^2 + 2ab + b^2 = 400
a^2 + b^2 + 2ab = 400
a^2 + b^2 = (10sqrt 2)^2
a^2 + b^2 = 200
200 + 2ab = 400
100 +ab = 200
ab = 200 - 100
ab = 100 = the area
https://web2.0calc.com/questions/coordinates_60311