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Water flows from a tank of constant cross-sectional area 60 ft2 through an orifice of constant cross-sectional area 1/4 ft2 located at the bottom of the tank. Initially, the height of the water in the tank was 20 ft, and t sec later it was given by the equation
2√h + (1/30)t - 2√20 = 0; 0 ≤ t ≤ 60√20.
How fast was the height of the water decreasing when its height was 9 ft?
Find the interval of convergence for the following series
12. Consider the fixed point iteration a) Prove that 1 Xn-1-1 =X0 = 0 Xn
solving differential equations with initial conditionshow much would it cost to solve this onesuppose organisms grow in
Discuss the Weierstrass Approximation Theorem. When would you use this theorem? Are there other options for solving these types of problems besides the Weierstrass Approximation Theorem?
Are closures and interiors of connected sets always connected? (Look at subsets of R2).
A person claims to be able to predict the outcome of flipping a coin. This person is correct 16/25 times. Compute the 95% confidence interval on the proportion of times this person can predict coin flips correctly. What conclusion can you draw abo..
Using the appropriate substitution method and the quotient rule find the integral of: Integral: 1+tanx/1-tanx dx
At a certain screening with full attendance, there were half as many adults s children and students combined. The receiipts totaled $5600. How many children attended the show?
A person receives $212 per year in simple interest from 3 investments totalling $2500. Part is invested at 7%, part at 8%, and part at 9%. There is $1100 more invested at 9% than 8%. Find the amount invested at each rate.
Find the inverse Laplace transform: L^-1(3s + 1/s^(2) + 4)=?
To log into an IPad, a four-digit security code needs to be typed. The code can be digits 0 through 9 or lower case letters a through z.
Determine the probability without replacement
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