Question and Answers Forum
AllQuestion and Answers: Page 150
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Question and Answers Forum |
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AllQuestion and Answers: Page 150 |
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| A generation is about one-third of a lifetime.Approximately about how many generations have passed since the year 0AD? |
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| (Un)_(n≥1 ;) (1/(nC_(2n) ^n )) study convergence |
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| how to prove that (3d_3 +4d_2 +3d_1 )^2 ≤5(d_1 ^2 +d_2 ^2 +d_3 ^2 +(d_2 +d_1 )^2 +(d_3 +d_2 )^2 +(d_1 +d_2 +d_3 )^2 ) |
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| ∫_0 ^1 ((Li_3 (−x^2 ))/(1+x))dx |
| if f(2) = 3 and f(4) = 5 find ∫_2 ^( 4) f(x) ∙ f^′ (x) dx = ? |
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| Let f(x) and g(x) be given by f(x)= (1/x) +(1/(x−2)) +(1/(x−4)) + ... +(1/(x−2018)) and g(x)=(1/(x−1)) +(1/(x−3)) +(1/(x−5)) +...+ (1/(x−2017)). Prove that ∣ f(x)−g(x)∣ >2 for any non−integer real number x satisfying 0<x<2018. |
| There is a field. Everyday kids throw some balls on the field. At night the farmer goes and place the bucket in a place where it will contain the most amount of balls. the field can be represented as a line of length 10. the bucket can be represented as a line of length 2. If the kids have thrown 3 balls into the field, what is the probability that the bucket will contain 2 balls how a sample looks like Where the blue line represents the field. and the red line represents the bucket. and the dots are the balls |
| A truck, P, travelling at 54km/h passes a point at 10:30 am while another truck, Q travelling at 90km/h passes through this same point 30 minutes later. At what time will truck Q overtake P? |
| Find: (2/(35)) + (2/(63)) + (2/(99)) + (2/(143)) = ? |
| { ((sin(x+y)=cos(x−y))),((tanx−tany=1)) :} (x,y)=(?,?) |
| cosx−(√3)sinx=1 x=? |
| prove that ((1−cosA+cosB−cos(A+B))/(1+cosA−cosB−cos(A+B)))=tan(A/2)∙cot(B/2) |
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| 2025^(2025) = x (mod 17 ) |
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