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Use logarithms to solve the problem.
Find the interest rate needed for an investment of $3600 to double in 6 yr if interest is compounded continuously. (Round your answer to two decimal places.)
Pizza Preference Probability Problem, Short Answer. Of 23 college sophomores at Crocodile Community College, 12 preferred pepperoni pizza, 7 preferred supreme, and 4 preferred cheese
Calculate the real part and the imaginary part of the complex polynomial p(z)= z^3-3z. Do the same for q(z)=(|z|^2)z + zbar. (here, z= x +iy, x,y belgon to R)
a motorboat travels 128 km in 2 hours going upstream.it travels 208kn going downstream in the same amount of time what is the rate of the boat still in the water? what is the rate of the current?
A rectangular storage unit has dimensions 1m by 2m by 3m. If each linear dimension is increased by the same amount. What increase would result in a new storage unit with a volume 10 times the original?
An irrigation canal has the shape of a trapezoid. Let x = the bottom width, y = the water depth, and theta = the angle of inclination of the sides from the horizontal.
Find a basis for the col(A) and a basis for col(A^t).
Using the table of information for differentiable functions f(x) and g(x) at x = 2 and x=3, determine the derivative below.
If $655 is invested in an account that earns 9.75%, compounded annually, what will the account balance be after 15 years?
Find the length of the sides parallel to the store and perpendicular that will maximize the total area of the outdoor enclosure.
The temperature u in a star of conductivity 2 is inversely proportional to the distance from the center: u=(2/sqrt(x^2+y^2+z^2)). If the star is a sphere of radius 1, find the rate of heat flow outward across the surface of the star.
Prove that if f is continuous at all values of x then so is kf where k is a constant. Give an example of a function that is continuous at all non-integer values but is discontinuous at all integer values.
Show that there exist a non zero continuous linear functional on l infinty which is zero on the space c0. Why such a functional is not an element of l1?
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