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If the normal to y=f(x) makes an angle of pie/4 with y-axis at (1,1) , then f''(x) is eqivalent to? Ans) The normal makes an angle 135 degree with the x axis. also f ''(1)
1. (‡) Prove asymptotic bounds for the following recursion relations. Tighter bounds will receive more marks. You may use the Master Theorem if it applies. 1. C(n) = 3C(n/2) + n
together, pearl and harvey are going to visit their aunt on sunday. If Pearl visits their aunt every 6 days, while harvey every 8 days, on what day will they visit their aunt toget
If y 1 (t) and y 2 (t) are two solutions to y′′ + p (t ) y′ + q (t ) y = 0 So the Wronskian of the two solutions is, W(y 1 ,y 2 )(t) = =
Find all the local maximum and minimum values and saddle points of the function f(x, y) = x 2 - xy + y 2 + 9x - 6y + 10
x^2 + 10x +2 4
prove that sin A /cot A + cosec A = 2 + sinA / cot A - cosec A
Mark intends to tile a kitchen floor, which is 9 by 11 ft. How many 6-inch tiles are required to tile the floor? a. 60 b. 99 c. 396 c. Since the tiles are calculated in
A water sprinkler operates in a circular pattern a distance of 10 ft. Evaluate the circumference of the spray? (π = 3.14) a. 31.4 ft b. 314 ft c. 62.8 ft d. 628 ft
A professor is interested in decisive if attending college influences the level at which an individual cooperates with the police. The professor is not sure if attending college w
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