The geometric meaning of dy/dx is
Slope of tangent
In Bloodborne, the average number of deaths before a player beats the Orphan of Kos is 20. Assuming that the standard deviation is 3 deaths, find the percentage of players who can beat Orphan of Kos, having the range of the number of deaths being between 14 deaths and 23 deaths.
81.5%
Venugopal walks 80 meters towards south. Then, turns to his right & starts walking straight till he completes another 80 meters. Then, again turning to his left he walks for 60 meters. He then turns to his left & walks for 80 meters. How far is he from his initial position?
140 meters
For some value of θ such that 0° ≤ θ < 90°, it is certain that 1/x > 1, where x represents some trigonometric ratio. What is x?
sec θ
In a one kilometre race, A beats B by 30 seconds and B beats C by 15 seconds. If A beats C by 180 meters. Find the time taken by A to run 1 kilometer.
205 seconds
What is the derivative of the absolute value of a variable, say x, when x≠0?
In World of Warcraft, assuming that 24 bears are spawned, 67 wolves are spawned and 9 raptors are spawned randomly in an area where 100 animals spawn, find the probability that a given spawn is either a bear or a wolf.
[Leave your answer as ex, without simplification]
e-0.91
BA
x B3
______
57A
Find the values of A and B.
A = 5
B = 2
If x = cos 1° cos 2° cos 3°.....cos 89° and y = cos 2° cos 6° cos 10°....cos 86°, then find the integer nearest to .
19
Find the greatest value of x, if the total number of elements in set G is equal to x+3.
x = 3
Integrate sinx.log(cosx) dx
cosx log(cosx) + cosx + C
Out of a survey of 4679 Nords, 14% of them claimed to have been an adventurer but then took an arrow to the knee. Construct a 95% confidence interval for the survey.
0.135 < p < 0.155
Evaluate 20142015 x 20152014 – 20142014 x 20152015.
10000
If sinA + sin2A = 1 and acos12A + bcos10A + ccos8A + dcos6A - 1 = 0, then b + (c/a) + d =
7
Find the sum of all the prime factors of N, if:
log3log5(N/2) = 6
7
Under perfect competition, a producer’s total cost is given by the following function:
f(x)= 5x2 - 26x + 500; x ∈ (0,20]
The variable cost is given by the following function:
d(x)=3x2 - 5x; x ∈ (0,20]
Find the equation of the supply curve.
S(x) = 10x - 26
Nathan Drake shoots bullets while saving the world (and "liberating" treasures). He hits the first and misses the second, and thereafter the probability that he hits the next shot is equal to the proportion of shots he has hit so far. What is the probability that he hits exactly 50 of his first 100 shots?
1/99
Assume that all positive integers are written down consecutively from left to right as in 1234567891011...... The 6389th digit in this sequence is:
4
The minimum value of ∣sin x + cos x + tan x + sec x + cosec x + cot x∣ is
2√2 − 1