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Find whether x=3 is a local maximum or a local minimum and Sketch the graph.
The function f has a derivative everywhere and has just one critical point, at x=3. In parts (a) to (d), you are given additional conditions. In each case decide whether x=3 is a local maximum, a local minimum, or neither. Explain your reasoning. Sketch possible graphs for all four cases.
(a)f '(1) = 3 and f '(5) = -1 (b)f (x) → ∞ as x → ∞ and as x → - ∞ (c)f (1) = 1, f (2), f (4) = 4, f (5) =5 (d)f '(2) = -1, f (3) =1, f (x) → 3 as x→ ∞
Find the missing values from the given information For the given values of x and y, y varies directly as x. Determine the missing value.
State the domain of the following and provide a brief explanation fgor your answer: a) f(x)=sqrtx+4 b) g(x)= 2x+1/x-7 c) h(x)=3x^2+5x-3 d) l(x)=2x+3 e) m(x)=3/x^2+7
Geometrically, the definite integral gives the area under the curve of the integrand. Explain the corresponding interpretation for a line intrigal.
The rabbit population in a forest area grows at the rate of 6% monthly. If there are 160 rabbits in April, find how many rabbits
Nilpotent transformation, Consider the transformation N: V->V. Let g be a vector such that N^k-1 does not equal 0, but N^k = 0. First show that the vectors g,N(g),N^2(g),..,N^k-1(g) are linearly independent
Explain how complex numbers combine under the following operations
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What was the response rate? 6.) How were the subjects contacted? 7.) When was the survey conducted? 8.) What were the exact questions asked?
If investors invests $10,000 for one month in a company whose stock either goes up by 80% after a month with probability 1/2 or drops 60% with probability 1/2.
Given a = 9i - 5j and b = 7i-4j, express i and j in terms of a and b. Given a= and b = determine whether a and b are parrallel, perpendicular, or neither.
Computing probability, mean and standard deviation for the given information and evaluate the mean number of sales expected.
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