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1. If a line y=3x+6 is tangent to the circle x^2+y^2=9 at point (k,k+1) then find value of k?
2. Find the value of all x which satisfy: 3x/4+x + 2x-9 =0?
Megan earns $20 an hour plus a $100 daily bonus. She uses a function to calculate her daily earnings. What is the inverse function of Megan's daily earnings function?
Derive the statement as corollaries of other theorems from the text or of statement you have proved true in the exercise.
Draw the unit circle and plot the point P=(5,2). Observe there are TWO lines tangent to the circle passing through the point P. Answer the questions below with 3 decimal places of accuracy.
What is the period T of the periodic motion? What m the frequency f in Hertz? What the angular frequency ω in radians / second? Determine the amplitude A and the phase angle γ (in radians), and express the displacement in the from y (t) = A cos (ωt ..
Prob1. LetT∈L(V,W).Prove (a) T is injective if and only if T ∗ is surjective; (b) T ∗ is injective if and only if T is surjective.
Find the circumference of a circle
What is the approximate distribution that describes the possible values for the sample proportion ? Give all aspects of the distribution.
Find description of R(T) as the intersection of hyperplanes and deduce a basis for R(T) and the rank r(T) and find a basis for ker(T) and determine n(T) the nullity of T:
The Ortegas decide to buy some furniture priced at $400 with $40 down and the balance to paid for using 10% add-on interest, to be paid in monthly installments over one year. What are the total interest they will be charged? and what is their mont..
Calculate the present value of each of the future payments and calculate the NPV for investment scheme A. Is this scheme profitable?
Jerome surveyed 643 skateboarders and found that 209 of them preferred wood skateboards to plastic or aluminum skateboards. Based on the number of people surveyed, what is the most reasonable estimation of the percent of skateboarders who preferre..
Solve the following problem by simplex method
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