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Tutors Answer Your Questions about Trigonometry-basics (FREE)
Question 84942: The population P of a certain culture is expected to be given by a model p=100e^(rt) where r is a constant to be determined and t is a number of days since the original population of 100 was established. Find the value of r if the population is expected to reach 200 in 3 days.
Click here to see answer by ankor@dixie-net.com(6693)   |
Question 84939: Greetings, My question is:
The amount A in an account after t years from an initial principle P invested at an annual rate r compounded continuously is given by A = Pert where r is expressed as a decimal. How many years will it take an initial investment of $1,000 to grow to $1,700 at the rate of 4.42% compounded continuously?
Click here to see answer by stanbon(26297)  |
Question 85002: A 100 foot wire is extended from the ground to the top of a 60 foot pole, which is perpendicular to the level ground. To the nearest degree, what is the measure of the angle that the wire makes with the ground?
Click here to see answer by tutor_paul(424)  |
Question 85223: For the following equation, find the interval(s) where f(x) < 0
f(x) = 1/(x^2-2x-8)
(–4, 2)
(–2, 4)
(2, 4)
(2, 8)
I can't figure this one out. I know it's probly easy for most but assistance would be great.
Thanks
Click here to see answer by stanbon(26297) |
Question 85201: Determine the amplitude, period, and phase shift of the function y=1/2sin (x+pi)
and sketch one complete period of the graph of the function..
My Answer: Amplitude=1/2 Period=2pi Phase shift=pi/3
I'm having trouble understanding how to do the rest...thanks for your help in advance..
Click here to see answer by stanbon(26297) |
Question 85221: If f(x) = x(x – 1)(x – 4)2, use interval notation to give all values of x
where f(x) > 0.
a. (–∞, 0) ∪ (4, ∞)
b . (–∞, 1) ∪ (4, ∞)
c . (0, 1) ∪ (4, ∞)
d . (–∞, 0) ∪ (1, 4) ∪ (4, ∞)
I believe the answer is (–∞, 0) ∪ (4, ∞). Can someone please let me know if I'm right?
thanks
Click here to see answer by scianci(186) |
Question 85220: Greetings,
Any help with the following would be appreciated.
1. The table shows several values of the function f(x) = -x^3 + x^2 -x + 2. Complete the missing values in this table, and then use these values and the intermediate value theorem to determine (an) interval(s) where the function must have a zero.
x -2 , -1 , 0 , -1 , 2
f(x) 16 , ? , ? , ? , -4
Possible choices are:
(0, 1)
(1, 2)
(0, 1) ∪ (2, ∞)
(–∞, 0) ∪ (2, ∞)
Click here to see answer by scianci(186) |
Question 85659: The angle of elevation from the top of a house to a jet flying 2 miles above the house is x radians. If d represents the horizontal distance, in miles, of the jet from the house, express d in terms of a trigonometric function of x.
Click here to see answer by scianci(186) |
Question 86013: Can you please help me with this problem. I need to solve for the following angle. This question is from Algebra II, A Beka Book.
The science club wants to find out the height of the school's flagpole. They found that if the rope attached to the top of the pole was lengthened, it formed an angle of 60 degrees with the ground, 14 ft. from the base of the pole. What is the length of the pole?
Thank you so much for your help.
Click here to see answer by tutor_paul(424) |
Question 86013: Can you please help me with this problem. I need to solve for the following angle. This question is from Algebra II, A Beka Book.
The science club wants to find out the height of the school's flagpole. They found that if the rope attached to the top of the pole was lengthened, it formed an angle of 60 degrees with the ground, 14 ft. from the base of the pole. What is the length of the pole?
Thank you so much for your help.
Click here to see answer by bucky(1732) |
Question 86014: I supplied the following equation earlier today that I needed to solve for x:
S=(1440*T)/(N*pi^2*D^2*x*acos((D-x)/D))
I have worked on it some more and substituted z for most of the variables. I now have this form.
D-x-D*cos(z/x)=0
I am afraid it cannot be solved because I keep ending up with x in either cos or acos. Is there a solution?
Click here to see answer by stanbon(26297) |
Question 84203: 82. A sprinkler system on a farm rotates 140 degrees and sprays water up to 35 meters. Draw a diagram that shows the region that can be irrigated by the sprinkler. Then find the area of the region.
Click here to see answer by 303795(562) |
Question 86384: The diagonal in a rectangle is 20 units long, and the angle between the diagonal and a side is 36 degrees 42' minutes. What is the length of the side adjacent to the given angle? Use "natural" trigonomic functions and round your answer to four significant digits.
Click here to see answer by stanbon(26297) |
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