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For the function below, find a) the critical numbers, b) the open intervals where the function is increasing, and c) the open intervals where the function is decreasing.
f(x) = 2.6 + 2.4x - 0.7x^2
b and c should be in interval notation.
Find the equation of the line normal to the curve of y= 2 cos (1/2)x, where x=pi. Write the expression using x as a variable. Write the exact answer in terms of pi.
Solving problems on permutation and combination
Explain how the temperature difference between the poles and the equator drives the motion of the oceans and atmosphere. What are the differences between ice caps and glaciers?
Determine the displacement y(x,t) to the string at any point at any subsequent time described by a function
Confidence level explained in this answer, Armed forces credit union probability and card holders would like to figure a $10 of the true mean with a 98% confidence level
Probability : Drawing Cards and Sampling Without Replacement, 3 cards are drawn in succession from a regular straight deck of 52 playing cards. Find the probability that
The problem that I'm having is that there is a nonconstant factor of (x^2+y^2+z^2)^(-1/2) appearing on the RHS of this equation, making it non-trivial to solve.
Let S be the circle in the plane {(x,y) in R^2: x^2 + y^2 = 1} and f: S --> R be a continuous map. Show that there exists (x,y) on S such that f(x,y) = f(-x,-y).
The plane y + z = 3 intersects the cylinder x^2 + y^2 = 5 in an ellipse. Find the parametric equations for the tangent line to this ellipse at the point (1,2,1)
Important information about Mixture, A tank contains 1320L of pure water.A solution that contains .o1kg of sugar per liter enters a tank at the rate 3L/min
Suppose that E is a normed linear space, and C is a subset. Prove that C is weakly bounded if and only if C is norm bounded. Conclude that weakly convergent sequences in E are bounded.
Two angles are complementary of each other. Twice one angle is equal to the other angle plus the product of three and five. Set up a system of linear equations to represent the two angles.
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