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Problem 1: - The function f is defined for all x by
f(x)=cosx-√3 sinx Express f(x) in the form Rcos(x+∝),where R>0 and 0<∝<90
Problem 2: The distance travelled by an object ‘s'(metres) is related to the initial velocity ‘u ' (m/s) the acceleration ‘a' and time ‘t'(s) by the equation.
s=ut+1/2 at2
A stop watch is started as the object passes a point such that s=0 when t=0 .it takes 2 seconds for the object to travel 14 metres from the point and 5 seconds to travel 50m from the point. determine the initial velocity and acceleration.
Calculate what the future size of the population will be, given the below assumptions - Examine the graph that your spreadsheet produced based upon the calculations.
Can the vertices of a simple graph G be colored using three colors so that no two adjacent vertices are the same color?
Financial Planning After 2 years, Betsy (see Problem 23) finds she now will require $7000 per year. Assuming that the remaining information is the same, how should the money be reinvested?
Evergreen Fertilizer Company produces fertilizer. The company's fixed monthly cost is $25,000, and its variable cost per pound of fertilizer is $0.15. Evergreen sells the fertilizer for $0.40 per pound. Determine the monthly break-even volume ..
Discuss the notion of the logical "or" and the logical "and" in computer programming (coding) or flowcharts. Why is it important to know how to apply these correctly?
block of metal has a width of 3.2 rm cm, a length of 17.1 rm cm, and height of 4.9 cm. Its mass is 1.5 kg. Calculate the density of the metal.
Felipe wants to have $15,200 in 10 years. Use the present value formula to calculate how much he should invest now at 16% interest, compounded quarterly in order to reach his goal.
By looking at two linear equations, how can you tell that the corresponding lines are parallel, the same graph, or intersecting lines? How many solutions does each possibility have and why is that? Show examples for each possible situation.
The result is then folded in the obvious fashion. (If it isn't obvious, order one with sausage and pepperoni and invite you TA and UA to investigate.) How does one obtain the box of largest volume?
Why can we use fixed point method to compute the solution of nonlinear equation y=g(x)? It's always convergence or not? If not, please gives a example to show it's divergence.
Write the geometric sequence that has four geometric means between 1 and 7,776? Find the sum of the first 40 terms of the arithmetic series: -5, -4, -3, -2, -1, ?
A random sample of size 25 is taken from a normal population having a mean of 80 and a standard deviation of 5. A second random sample of size 36 is taken from a different normal population having a mean of 75 and a standard deviation of 3.
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