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Discuss the concept of the derivative of a function. Provide the following:
a. An explanation of the relationship between the derivative and the slope of a curveb. An example that is relevant to the discussion and supports all claims
Part of $13,750 is invested at 9% annual interest, and the rest is invested at 8%. After one year, the accounts paid $1,160 in interest. How much was invested at the lower rate?
To log into an IPad, a four-digit security code needs to be typed. The code can be digits 0 through 9 or lower case letters a through z.
Compute the integral of 4y^3 dx -2x^2 dy around the square bounded by the lines y=+/- 1 and x=+/-1. Directly by performing the line integration.
Find the constant of variation and write an equation of direct variation -
A high school counselor wants to examine whether the teenage pregnancy rate at her school is different from the rate nationwide. She knows that the rate nationwide is 15 %. She randomly selects 80 female students from her high school. She finds th..
Show the Finite graph and vertices
Sketch the region bounded by the graph of the functions and find the area of the region.
Find the sine of angle B.
Explain Bisection and newton's method, Using the bisection method, find the positive root of 2x(1 + x^2)^-1 = arctan x
Shirley Cicero has $16,000 invested in Boeing and GE stock. The Boeing stock currently sells for $30 per share and the GE stock for $70 per share. If GE stock triples its value and the Boeing stock goes up 50%, her stock will be worth $34,5000. Ho..
Provide a logical explanation for this relationship (Hint: consider n objects as consisting of n-1 existing objects plus a new nth object.
As we know, a set is just a collection of objects that are similar in some way, like a gaggle of geese, pride of lions, or an army of ants. To further classify our world, we can create subsets from a larger set. Let's consider the idea of a subset..
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