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MATH 16A QUIZ 1-
(1) Find the equation of the line parallel to y = 3x + 4 and containing the point (1, 0).
(2) Find the domain of definition of the function f(x) = 1/√(x2+1)-1.
(3) If limx→0f(x) = -1 and limx→0g(x) = 1, what is limx→0(f(x) · (g(x) - 2) + 2)?
Find the self-adjoint form of the differential equation - Show that if um and un are eigenfunctions corresponding to distinct eigenvalues of the problem.
Fruits and vegetables are sold by the pound. Add up your prices per pound for the fruits and vegetables and find the average cost per pound.
a train track runs along a river in a valley. the track rises a vertical height of 600 m over a horizontal distance of
Sketch the bounded region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle and label its height and width. (Do this on paper. Your instructor may ask you to turn in this graph..
How is the number line model used to divide whole numbers in the problem?
A circular sector with radius r and angle theta has an area . Find r and theta so that the perimeter is smallest when A=2 and A=10.
You deposit $10,000 in a savings account that earns 8% simple interest per year. How many years will it take to double your balance? If, instead, you deposit the $10,000 in another savings account that earns 6% compounded yearly, how many years wi..
For the objective function Z=31x1+35x2 which we seek to maximize, which point is the optimal solution?
Saly and marbel Had the same number of cards at first. Aafter saly sold 18 of her cards,mabel had four times as many cards as saly. How many cards did each girl have at first?
a researcher is interested in whether students who attend private elementary schools do any better on s standard test
A poster is to have an area of 240 in2 with 1 inch margins at the bottom and sides and a 7 inch margin at the top. What dimensions will give the largest printed area? (Give your answers correct to one decimal place.)
Find the maximum and minimum, changes in concavity, intervals of increasing and decreasing, and asymptotes of the below function. Y = In[sin(x)+1]
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