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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
compare and contrast permutations and distinguishable permutations.state the fundamental counting principle and explain
the revised estimated project cost is 19,350. What is the difference in percentage of profit between the orginial estimated cost and the revised estimated cost?
the area of a rectangle is 100 square inches. the perimeter of the rectangle is 40 inches. a second rectangle has the
A woman walks due west on the deck of a ship at 2 mi/h. The ship is moving north at a speed of 15 mi/h. Find the speed and direction of the woman relative to the surface of the water. (Round your answers to one decimal place.)
Given the explicit solution from part (a), what is the largest possible t-interval on which the explicit solution makes sense?
sketch the graph of the given function.sketch the graphs of the function x2- 2x -3nbsp . identify the vertex and the
In addition, Martinez has decided that there should be at least six ads on TV or radio or some combination of those two. The amount spent on billboards and newspaper together must not exceed the amount spent on TV ads.
If the price was $1.50 per gallon one week, and $2.00 the next week, what was your average price per gallon?
Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. If it diverges to infinity
At East Zone University (EZU) there are 482 students taking College Algebra or Calculus. There are 353 students taking College Algebra, 146 students taking Calculus, and 17 students taking both College Algebra and Calculus. How many students are t..
The recording devices record the time the sound reaches each one. How far directly north of site B should a second explosion be done so that the measured time difference recorded by the devices is the same as that for the first detonation?
What is the inherent meaning and justification of cross-multiplication as it applies to solving an equation or inequality? In other words, why does cross-multiplication work?
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