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A pendulum is 18 feet long. Its central angle is 44º. The pendulum makes one back and forth swing every 12 seconds. Each minute, the pendulum swings _____ feet. (Answer to the nearest foot.)
Graph the function and label the x and y-intercepts on a scale where y-axis ranges from -100 to 900 and x-axis ranges from 0 to 55. What is the maximum profit earned by the company in a week?
Find the characteristic equation for the matrix below and determine its eigenvalues and the corresponding eigenvalues.
Let ubar and vbar be nonzero vectors in 2 or 3 space and let k=||u|| and m=||v||. Show that the vector Wbar=mubar +kvbar bisects the angle between ubar and vbar.
Use critical value z0 method from the normal distribution
Prepare the name of congruent angles from the given figure - Name every angle that is congruent to (has the same measure as) angle ACD.
Evaluate the combination or binomial function in the completion 48 factorial over 37 factorial. The answer should equal to 22595200368.
Prove the following vector calculus identity in R 3 , where f is a twice continuously dierentiable scalar eld and F is a twice continuously dierentiable vector fi eld
Prove that the subgroup of A4 generated by any element of order 2 and and any element of order 3 is all of A4. Prove that if x and y are distinct 3-cycles in S4 with x != y^-1 (x not equal to the inverse of y), then the subgroup of S4 generated by x..
Show that if we change the IVP to x(0) = 1, the same system , that is x' = 3 x^2/3, still has a unique solution on the interval ( minus infinity, plus infinity).
Find the equation of a parabola whose vertex is (0,0) and directrix is the line y=3. Find the vertex, focus, and directrix of (x-2)^2=12(y+1). Find the latus rectum and graph the parabola, making sure that all points and axis are labeled.
Probability Assume that the table below summarizes a survey involving the relationship between living arrangements and grade point average (GPA) for a group of students. If we select a student randomly from this group,
Determine the probability for independent events - calculate the probability P(AUBUC)
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