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1. Solve (½) = (x/4)1/4
2. Solve Log5(5x/(x-2)) = 2 for all values of x.
3. Write ln (5x3y3) as the sume or differences of logarithms.
4. Solve 2 ln (x+1)= ln (x2 - 1) 5 for all values of x.
5. Express 7 ln x-3(ln x3 + 5 ln x) as a single logarithm.
6. Translate log 26.3 = 1.42 into its equivalent exponential form.
7. Translate 54 =625 into its equivalent exponential form.
8. What type of function is f(x) = 6x?
What is the landing space per step
At noon, ship A is 70 km west of ship B. Ship A is sailing south at 30 km/h and ship B is sailing north at 10 km/h. How fast is the distance between the ships changing at 6:00 PM?
Describe a probability space for this experiment as well as you can. Find the probability that after two days there are no amoebas in the pond.
a pool measuring 8 meters by 30 meters is surrounded by a path of uniform width. If the area of the pool and the path combined is 792 square meters, what is the width of the path.
What are the dimensions of the largest volume package the postal service will accept?
In triangle ABC, a = 8, b = 9, and m<C = 135 degree. What is the area of triangle ABC?
Define the function f(s,t) to be the square of the distance between r1(t) and rs(s) - Think about what happens to f(s,t) as s,t->+-infinity. How many critical points ought f have.
Application of differential calculus: Maximization and Minimization - what are the largest and smallest revenues your company your company can make under this deal?
The electrical signal created by a piece of test equipment at a specific point in time is described by the function Vinst(t) = 12 × sin(360 × 60 × 6.3 + 79). What is the maximum voltage produced by the system.
Verifying some important results over real valued functions - real-valued functions
The assessed value on a property increased from $285,000 last year to $298,000 in the current year. Last year's property tax rate was $1.56324 per $100 of assessed value. a) What will be the change in the property tax from last year if the new tax ra..
Write an equation and solve: Each month an employee has $75 invested in a stock investment plan. This amounts to 5 percent of the employee's monthly salary. Find the monthly salary.
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