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A street light is at the top of a 14 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 7 ft/sec along a straight path.
A student decided to depart from Earth after his graduation to find work on Mars. Before building a shuttle, he conducted careful calculations.
The distance of a body from a point is given by s = xsin(wt + &). Show that the velocity and acceleration are given by v = xwcos(wt + &) and a = -w2s.
Solving Triangles: How Far Apart Are the Girls? A rescue Helicopter at an altitude of 200 m spots two lost girls at the same time.
How to Find 5 Triangles with Integer Sides.Find five triangles with integers sides (without no commun divisors )
Geometry: Angles and Triangles.For the two acute angles, m1=6x -3° and m2 =x + 2°. Solve for x and the measure of each angle.
Triangle Coordinates After Reflection and Mapping.Triangle abc has coordinates a(-1,3), b(-6,5), and c(-4,7):
Both forms of the definitions of the derivative of a function f at number a.
Find the first three derivatives of the function f(x) = 2cos x sin 2x.
Given f(x)= identify a function u of x and an integer n not equal to 1 such that f(x)=(x2+3x+1)5/(x+3)5 . Then compute f'(x)
Area of a Segment of a Circle.In a circle of radius 6 centimeters, find the area of the segment bound by an arc of measure 120 degrees
Tangency of three circles.Create two tangent circles with centers A and B. For convenience sake, let circle A have the larger radius.
Let n be a positive integer a) prove that n is divisible by 5 if and only if it ends with 0,5
write down the centre and radius of circle A.Explain why the distance between the centres of circles A and B is 10.
We've got a cylindrical can with height =h and radius =r. It will hold 4L (4,000 cm cubed) of some liquid. The material for the top and bottom costs 2 cents
Write an expression for the slope of the curve at any point (x,y)
Show that if the tangent to y=ekx at (a, eka) passes through the origin then a=1/k.
Revolutions of a tire.Two cars with new tires are driven at an average speed of 60 mph for a test drive of 2000 miles
Given a circle, construct a circle with twice its area. I know that the r2 = (x-h)2 + (y+k)2 is the standard equation for a circle.
Functions f, g, and h are continuous and differentiable for all real numbers, and some of their values and values of their derivatives are given by the below
Prove algebraically that the stereographic projection of a circle (C) lying in a sphere (S) is either a circle or a straight line.
Two distinct, nonparallel lines are tangent to a circle. The measurement of the angle between the two lines is 54° (angle QVP).
Use quotient rule to find derivative of this function. f(x) = (20+16x-x^2)/(4+x^2).
Mobius Transformations for Circles.Prove: For any given circles R and R' in C_oo, there is a mobius transformation T such that T(r)=R'.
Find the derivative of each function a. f(x)=x2-6x+3