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Find the derivative of the following functions dy/dx, by the method of implicit differentiatio
It has been conjectured that a fish swimming a distance of L ft at a speed of V ft/sec relative to the water and against a current flowing at the rate of U ft/s
The voltage V in volts across a fixed resistance r in series with a variable resistance R is V=(rE)/(R+r) where E is the source voltage.
Find the directional deriv at p(-2,2,1)in the direction of q(18,-2,4).
Let f(x) = x/(x^2 + 1) Find the point(s) on the graph where the tangent line is horizontal.
Find the derivative of a polynomial p(x)=anxn+an-1xn-1+.....+a1x+a0 where an?0.What can you say about degrees of p(x) and p'(x)
Calculate dz/dx using implicit differentiation. given the equation:
Solving Equations, Length of a Cube and Pythagorean Theorem.Is the square root of x squared = x an identity (true for all non values of x?)
Use implicit differentiation to find the dy/dx:
Word problem on braking distance.How is braking distance affected by grade Ø? Does this agree with your driving experience?
Find the area of the section of the hyperbola x2/a2+y2/b2=1that is bounded by the curve and the line x=2a .
Trigonometry and Pythagorean (Pythagorus) Theorem Problems.In a right triangle with the hypotenuse c = 10 and the angle A =50 degrees
Trigonometric Equations and Identities.Solve each equation for the domain interval 0 less than or equal to x less than or equal to 2pie.
Find the angle B in an oblique triangle in which a =31,b =15,and c = 17.
On one occasion the gremlin tried to take over the kingdom with a bacteria dish.
Trigonometry and Geometry Word Problems.A building 210 feet tall casts a 90 foot long shadow.
The altitude h (in meters) of a jet as a function of the horizontal distance x (in kilometers) it has traveled is given by:
Important information about application of trigonometric functions in real life
Determine the slope of the tangent to each of the following curves:
Write the equation of the conic section in standard form.
Limit of cosine using epsilon/delta definition.find the limit as x approaches 0 of (cosx-1)/x^2.
In each graph below, an optical illusion is created by having lines intersect a family of curves. In each case, the lines appear to be curved.
Deriving trigonometric identities.Use trigonometric identities to derive the following identities:
Cartesian coordinates.A boat sails at a constant speed in a straight line. its position at time S is (30S- 300,10S +500).
Find the gradient of f(x,y) at (3,2) Find the gradient of f(x,y) at (3,2)