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A brick comes loose from near the top of a building and falls such that its distance s (in feet) from the street (after t seconds) is given by the equation
Right circular cone related rates.Related rates problem on a right circular cone that is increasing its volume at 2 cubic feet/min
Find the derivative by the limit process:
A particle moves along the x-axis so that its acceleration at any time is a(t)=2t-7. If the initial velocity of the particle is 6, at what time t
Equation of the circle.Find the equation of the circle with center at the intersection of 4x + y - 4 = 0 and x - y - 6 = 0 and passing through (-1, -3).
Banking of circular track.The sleepers of a railway track which is turning round a bend of radius 60m are banked
A particle moves along the x-axis so that at any time that t is greater than or equal to zero, its position is given by x(t)= t^3-12t+5.
Use logarithmic differentiation to find dy/dx: y=(x+2)*sqrt[1-x^2]/(4*x^3)
Formula of Circle. A circle is the set of points that lie at a constant distance from one point, the center of the circle.
A rectangular yard is to be constructed along the side of a house by erecting a fence that is 20 meters long (not high) on three sides, using the house
A flat circular disc, of radius R, can be modeled as a thin disc of negligible thickness
Circle Properties and Missing Values. Please help describe how to solve problems based on circle properties and circle rules.
Example of a non-rectifiable closed Jordan curve.Give an example of a non-rectifiable closed Jordan curve on the interval -1<=t<=1.
A box with its base in the xy-plane has its four upper vertices on the surface with equation z=48-3x^2-4y^2. What is the maximum possible volume.
Maximum and Minimum Values (Looking at Curves and Gradients). For each of the following functions, find the maximum and minimum values of the function
Find the point on the graph of y= e^x at which the curvature is the greatest.
Suppose that f: [a,b]? R is differentiable, that 0 < m f ‘(x) M for x ? [a,b], and that f(a) < 0 < f(b). Show that the equation f(x) = 0 has a unique root
Higher-Order System : Unit-step Response Curve.Consider a higher order system defined by (see attached file for equation):
Find dy for the relation 4x2+y2=16 using each of the following methods.
Determine whether the polynomials have multiple roots. Let F be a field and let f(x) =anxn+an-1xn-1+...+a0 ? F[x].
Locus of a point-Determining the equation of a curve.A curve is traced by a point P(x,y) which moves such that its distance from the point A
Finding Curvature. Compute the curvature k(t) of the curve r(t) = 2t i + 4sint j +4cost k
Calculate the area under the curve y=1/(x^2) above the x-axis on the interval [1, positive infinity].
Tangent Normal and curvature of parametric plane curves.Find unit tangent and normal vectors at the given point:
Operations supply management - learning curve. A time standard was set at 0.20 hour per unit based on the 50th unit produced.