find the tangent line of the curve y=1/2 at x=2
graph it..y=-1/2f(1/2x+1)-1write all transformations step....
Will ratelifesaver if correct!
find the radius of a circle, to the nearest whole number, when the arc is 32 inches and the central angle is π.
y''=(x+y')2Anyone who can help me figure this out is a lifesaver.
The velocity graph of a car accelerating from rest to a speed of60 km/h over a period of 30 seconds isshown. Estimate the distance, d traveled duringthisperiod. (Use M6 to get the most preciseestimate. Round the answer to two decimal places.)d = kma = 20
Using the cylindrical coordinate system, prove that(a) ?f + ? × [az ln(r)] = 0(b) ?[ln(r)] - ? × (az f ) = 0az is the unit vector in the z direction same as unit vector 'k' in some bookslike --> i + j + k = ax + ay + az
The Municipal Transit Authority serves 151,000 commuters daily when the fare is $1.97. Market research has determined that every penny decrease in the fare will resultin 1,150 new riders. What fare will maximize revenue?
I know that there is some kind ofsubstitution involved but I have no idea where to start.
Use partial fraction decompisition to find the inverse Laplacetransform.F(s) =
59 freshmen were interviewed about the classes they weretaking this semester.27 were taking science18 were taking math22 were taking english8 were taking science and math7 were taking science and english7 were taking english and math2 were taking all three classesHow many were not taking any science, english, andmath?How many are taking exactly one of science, english, andmath?
The function is represented as a power seriesFind the FOLLOWING coefficients in the power series. Find the radius of convergence of the series. .
Consider a system consisting of N components, all working independent of each other, and with life spans of each component exponentially distributed with mean ?^(-1).When a component breaks down, repair of the component starts immediately and independent of whether any other component has broken down. The repair time of eachcomponent is exponentially distributed with mean ?^(-1). The system is in state n at time t, if there is exactly n components under repair at time t. This is a birthand death process.Let ?=? and assume that all N components are working. Find the distribution function F(t) of the first time, when 2 components does not work.
<DIV>Which of the following is the equation of a circle?</DIV><BR><DIV>a. y = (x+4)<SUP>2</SUP> + 2</DIV><BR><DIV>b. x<SUP>2</SUP> + y<SUP>2</SUP> - 6x + 8y = 0</DIV><BR><DIV>c. 4x<SUP>2</SUP> - y<SUP>2</SUP> = -64</DIV><BR><DIV>d. (y+3)<SUP>2</SUP>/16 + (x+2)<SUP>2</SUP>/36 = -1</DIV>
Find a series solution for the following differential equation:y" - xy' + 2xy = 0y(0) = 3, y'(0) = 1Identify at least the first 6 coefficients (from c0 to c5)
81. Solar CollectorA solar collector for heating water is constructed with a sheet ofstainless steel that is formed into the shape of a parabola (seefigure). The water will flow througha pipe that is located at thefocus of the parabola. At what distance from the vertex is thepipe?
Use cylindrical coordinates to evaluate the triple integral,where E is the region that lies insidethecylinder andbetweenthe planes and