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Consider the function f(x) = x + 1/x2 + 2x - 3.
(a) Find f(2) and f(-2).
(b) Find the domain of f(x).
(c) Does the range include 1? Show your working.
(d) Find and simplify f(x - 1).
(e) Does the graph of y = f(x) cut the x-axis? If so, where?
Consider the differential equation give by y′ = -10(y - sin t) (a) Derive by hand exact solution that satis?es the initial condition y(0) = 1. (b) Numerically obtain the s
if prices are calculatead with a 35% markup based on cost,what is the percent that those prices should be marked down to get back to their original cost?Choose any convenient cost
Solve 6 sin ( x/2)= 1 on [-20,30] Solution Let's first work out calculator of the way since that isn't where the difference comes into play. sin( x/2)= 1/6 ⇒x/2= sin
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In triangle ABC, if sinA/csinB+sinB/c+sinC/b=c/ab+b/ac+a/bc then find the value of angle A.
( a+2b)x + (2a - b)y = 2, (a - 2b)x + (2a +b)y = 3 (Ans: 5b - 2a/10ab , a + 10b/10ab ) Ans: 2ax + 4ay = y , we get 4bx - 2by = -1 2ax+ 4ay = 5 4bx- 2by = - 1
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how to know if it is function and if is relation
Find out the average temperature: Example: Find out the average temperature if the subsequent values were recorded: 600°F, 596°F, 597°F, 603°F Solution: Step
what is the Laplace transform of e^9(-t)^a)
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