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The accompanying figure shows the position versus time curve for a certain particle moving along a straight line.
Estimate each of the following from the graph:
(a) the average velocity over the interval 0 ≤ t ≤ 3
(b) the values of t at which the instantaneous velocity is zero
(c) the values of t at which the instantaneous velocity is either a maximum or a minimum
(d) the instantaneous velocity when t = 3 s.
find the area bounded by the curve y=3x-x^3 and the line y=2
Find two distinct points on the curve y=x3+x2-x+1 that have parallel tangent lines
identify a mathematician that contributed to the development of theory of functions in mathematics. state the contribution made and why was it so important to the field of mathematics
State the domain and range of the relations described.
y = x-1, x ≠ 2
= 1 , x = 2
Write the inequality representing the statement: the unsigned distance from -3x to 5 is less than or equal to 2.
Question 3 Verify using the definition of limit (with ϵ and δ) that lim x→1 (1/2 |x − 1| + 3) = 3, explain all the steps and the overall significance of what you do. [16]
From the graph of f given in the picture below, sketch all the steps to draw the graph of 1/2 f(2x + 2) − 2
If a third degree polynomial has a lone x-intercept at
x = a , discuss what this implies about the
linear and quadratic factors of that polynomial.
