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The given are points on the terminal side of the angle. For each one, sketch the angle in standard position and estimate the 6 trigometric functions.
Change the given number to polar form and then divide. State the result in rectangular form and polar form. Check the answer by dividing original numbers in rectangular form.
Use available methods (in particular, Conjugate Roots Theorem, if suitable) to factor each of the given polynomials completely, making use of given zero if one is given.
Between a and b, population increases, and there is third number c such that rate of growth increases below c and decreases above c. Draw N'(t) as the function of N(t) for the population.
Determine the derivatives of the given functions. State what differentiation rules you use. f(x) = x · cos x. f(x) = sin(sin x).
Diversity of species A virgin forest in northwestern Pennsylvania contains four species of large trees with following proportions of each: hemlock, 0521; beech, 0.324; birch, 0.081; maple, 0.074.
To save for the new car, you put $200 a month into the account earning the interest at 2% per year, compounded continously. How much money do you possess 2 years after first deposit, right before you
Annual deposits of $3210 are made in the bank account earning 6% interest per year. Compute balance in account right after 15th deposit if interest is estimated continously?
Write expression in exact value for t, then estimate the answer to give number of years to nearest tenth of a year. F=Pert.
Provided that 2i is a root of f(x)=x^4-5x^3+10x^2-20x+24 determine all remaining roots (real and complex) and then write function as the product for 4 linear factors.
Provide the linear equation for remaining federal helium reserves, R, in terms of t, number of years since 2010. In 2015, find helium reserves?
Rabbits, if left alone, breed by R(t)=Roe^1.2t. If there are ten rabbits to start with. How many will be present in three years and six months?
Use the calculator to determine tan (0.3665 radians) rounded to nearest ten - thousandth. Compute degree measure of angle theta if tan theta = 3.952, rounding to nearest tenth of the degree.
Certain process obeys decay equation: A = P e-RT. Determine value of A if P is 50, R is 0.05, T is 10, and e is about equal to 2.718281828.
Building is about 450 ft tall. Angle of depression from the point on top of building to the spectator on ground is 32.1 degree. How far, to nearest foot, is spectator from base of building?
Determine height of water at dock at 9 PM, that same day. H = 12 + 2 sin (30 degree t) at the certain time of day, angle of elevation of sun is 32 degrees.
Big screen HD TV appreciates according to V = Pe-0.19t where V is value of TV, P is purchase price, and t is age of TV in years. You now bought the TV for $3,600. How much will TV be worth in five
The open-top box is to be made from the 4 in by 14 in rectangular sheet of tin by cutting out squares of equal size at every corner. What, approximately, is maximum volume of box?
If the merchant deposits $2,100 annually at the end of every tax year in IRA account paying interest at rate of 8%/year compounded annually, how much will she have in account at end of twenty year?
Box is to be made out of the piece of cardboard which measures 48 by 72 inches. Write the formula for volume, V, of box as the function of x.
Determine vertical rise (to nearest foot) for the ski lift with slope length 2050 feet suppose that angle formed by the horizontal line at top terminal and lift cable is 50 degrees.
The annual return from one of them was 8% and other paid 10.5% for year. He got the total income of 2550 from both investments. How much did he invest at rate?
Solve for remaining angles and side of triangle which can be created. C = 140 degree, b = 1, c = 9 Construct a triangle, if possible, using given information. A = 108 degree, a = 9, b = 8.9.
Scientist starts with 100 mg of the radioactive substance. After four hours, it has decayed to 80 mg. How long after process started will it take to decay to 15 mg?
Then (a) utilizing known theorems, illustrate that function g(x) is continuous at points where x is not equal to 0 and (b) For which value of a is function also continuous at x=0?