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Check whether or not the conicoid represented by 5x^2+4y^2-4yz+2xz+2x-4y-8z+2=0 is central or not.If it is,transform the equation by shifting the origin to the centre.Else,change any one coefficient to make the equation that of a central conicoid.
A jogger runs from her home to a point A, which is 6 km away. For there 6 km, she
begins by running at a constant speed till she reaches a hilly portion 2 km from her
home. Here her speed slows down while she runs up the hill, which is a 1-km run.
Then she speeds up while running down the hill. The last 2 km of the run are again at
constant speed. Draw a graph to show the jogger’s speed as a function of the distance
from her home. Also find the range of this function.
begins by running at a constant speed till she reaches a hilly portion 2 km from her
home. Here her speed slows down while she runs up the hill, which is a 1-km run.
Then she speeds up while running down the hill. The last 2 km of the run are again at
constant speed. Draw a graph to show the jogger’s speed as a function of the distance
from her home. Also find the range of this function.
The original function used to model the cost of producing x PortaBoys Game Systems was
C(x) = 80x + 150.
While developing their newest game, Sasquatch Attack!, the makers of the PortaBoy revised their cost function using a cubic polynomial. The new cost of producing x PortaBoys is given by
C(x) = .03x3 − 4.5x2 + 221x + 250.
Market research indicates that the demand function
p(x) = −1.5x + 250
remains unchanged. Find the production level x that maximizes the profit made by producing and selling x PortaBoys. (Round your answer to the nearest whole number.)
C(x) = 80x + 150.
While developing their newest game, Sasquatch Attack!, the makers of the PortaBoy revised their cost function using a cubic polynomial. The new cost of producing x PortaBoys is given by
C(x) = .03x3 − 4.5x2 + 221x + 250.
Market research indicates that the demand function
p(x) = −1.5x + 250
remains unchanged. Find the production level x that maximizes the profit made by producing and selling x PortaBoys. (Round your answer to the nearest whole number.)
The average life of a small motor is 10 years with a standard deviation of 2 years. The manufacturer replaces free all motors that fail while under guarantee. If the manufacturer is willing to replace only 3% of the motors that fail, how long a guarantee should he offer? Assume lifetimes are normally distributed.
If a set of observations is normally distributed, what percentage of the observations differ from the mean by
a. More than 1.3σ
b. Less than 0.52σ
a. More than 1.3σ
b. Less than 0.52σ
2 men or 3 women can do a piece of work in 20 days working 8 hrs a day. Find the number of days required for 8 men and 4 women to complete the dame work working 7 1/2 hours?
Using Stokes' Theorem evaluate the line integral integrate at C F.dI where F= you+ xz^3 .j - zy^3 .k andC is circle x^2+.y^2=5 in the plane and=-3.
Using Green's Theorem evaluate the integral of area enclosed by at C(y^2 .dx +3 xydy) where C is a semi circle of radius 1 in the upper half plane, centered at origin.
Determine the direction in which the scalar field f(x,y)= xy^2 + x^3. y increase the fastest at the point (1, 2).
Calculate the work done by a force F=2xi+3yj in moving a particle once counterclockwise along the ellipse x^2/4 + y^2/9 =1 .what do you understand from the answer,?
