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Direction fields in newtons law, One of the simplest physical situations to...

One of the simplest physical situations to imagine of is a falling object. Thus let's consider a falling object along with mass m and derive a differential equation as, when resolv

Define a*b for given matrix, Define A*B where:                A =  | 3 -...

Define A*B where:                A =  | 3 -3  6 |          B = |  6   1 |                          | 0  4  2 |              |  0  -5 |

The coordinate axes, Trace the curve y 2 = (x + 2) 2 (x - 6). Clearly sta...

Trace the curve y 2 = (x + 2) 2 (x - 6). Clearly state all the properties you have used for tracing it(e.g., symmetry about the axes, symmetry about the origin, points of interse

Find the exact points and factorise , Consider the function f(x) = x 2 - 2...

Consider the function f(x) = x 2 - 2x - 1. (a) Factorise f(x) exactly. (b) Find the exact points (x and y coordinates required) where the graph of y = f(x) cuts the x and y-

Mathematical concepts and ideas , These experiences should be related to th...

These experiences should be related to the mathematical concepts and ideas that we teach them. Only then will these ideas appear relevant to the children, and be absorbed by them

Coordinate geometry, find the value of x for which the distance between the...

find the value of x for which the distance between the points p(4,-5) and q(12,x) is 10 units

What is plotting points, What is Plotting Points ? How would you go abo...

What is Plotting Points ? How would you go about drawing the graph of y = x2 ? One way to do it is by plotting points. (Your graphing calculator uses this method.) This is

Find relative extrema f ( x ) = x2 on [-2, Recognizes the absolute extrema...

Recognizes the absolute extrema & relative extrema for the given function.  f ( x ) = x 2        on                  [-2, 2] Solution Following is the graph for this fun

Calculate the amplitude of trigonometry function, Consider the trigonometri...

Consider the trigonometric function f(t) = -3 + 4 cos(Π/ 3 (t - 3/2 )). (a) What is the amplitude of f (t)? (b) What is the period of f(t)? (c) What are the maximum and mi

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