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a) Show that the fllowing fuction is continuous when k = 5\2, then sow that f is not differntiable at x=2.
f(x) = 6x - 2 for x is less than or equal to 2
kx2 for x is greater than 2
b) Show that f(x) is continuous and differntiable at x=1
f(x) = 2x for x is greater than 1
x2 +1 for x is less than or equal to 1
c) A function satisfies f(0) = 3 and f(2) = e2 + 2 and f'(3) = e3, figure out a function f(x) that happenes to satisfy these conditions, then find the line tangent to the curve graph of f(x) when x = 3, sketch the graph of f(x)and the tangent line
The Tempcontrol company has a container that reduces the temperature of a liquid from 200 f to 110 f in 25 minutes by maintaining a constant temperature of 60 F.
When given the relationship between beak size and percent of thistle seeds in the stomach is positive linear,given the relationship between beak size and percent of sunflower seeds in the stomach is negative linear.What's the relationship between the..
The following data summarize the results from an independent-measures study comparing three treatment conditions.
Based on the parallelogram law, show that the norms ||.||_1 (1-norm) and ||.||_infinity ( infinity or maximum norm) in R^2 are not induced by any inner product.
A sinusoidal signal, 20 sin(ωt + π/2 ), passing through an LTI system, undergoes a gain of 2 and a 90-degree phase lag. The resulting output signal will be mathematically described as
The histogram below represents the number of television sets per household for a sample of U.S. households. What is the minimum number of households having the same number of television sets?
Probability : Independent Dual Probability, A student applies for two different scholarships. The probability of receiving the first scholarship is 0.3 and the probability
If $5,000 is invested in a savings account with an interest rate of 9%, coumpounded annually, the amount in the account after t years is given by
A worker on scaffolding 70 ft above the ground needs to lift a 450 lb bucket of cement from the ground to a point 25 feet above the ground by pulling on a rope weighing 5 lb/ft. How much work is required?
You place a cup of 210°F coffee on a table in a room that is 68°F, and 10 minutes later, it is 200°F . Approximately how long will it be before the coffee is 180°F? Use Newton's law of cooling: 180°F A: 1 hour B: 15 minutes
Assume that a population is normally distributed with a mean of 300 and a standard deviation of 45. Would it be unusual for the mean of a sample of 9 to be 345 or more? Why or why not?
Write the expression for K for the reaction for the folowing:Co2(CO3)3(s) 2 Co3+(aq) + 3 CO32-(aq)Cu(NH3)4+(aq) = Cu+2(aq) + 4 NH3(aq)
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