1) Find a bijection from R to R − N, where N denotes the set of all natural numbers.2) Is there an injection from R into Q, the set of all rational numbers? Why?Please be specific.
SOLUTIONS1) A function f: R RN, given by f(x) = x is a bijection from R toRN. As, this is both injective (One-to-one) function and surjective (Onto) function. Here, image of distinct…
I need help with Math 215: Calculus 3, HW2 course right now.Here is the first question: 1.Let a = -5i+2j+7k and b = 6i-3j+8k. Suppose a particle A is moving
in the same direction as a at speed 1 and a particle B is moving along
b; also at speed 1. Which particle is climbing upwards in the z-direction
faster? If you find Okay with the work, I can upload all the questions?
Quiz 1
Mean – 70.3
s – 12.85
***** my quiz 1 score was 96% or 48 out of 50
1 What was your score on Quiz 1? If it was 100, replace it with an 85.
2. Convert your Quiz 1 score to a z-score. List your z-score.
3. What percentage of the class did better than you?
How many different license plate numbers can be made using 2 letters followed by 4 digits selected from the digits 0 through 9, ifa) Letters and digits may be repeated?b) Letters may be repeated, but digits may not be repeated?c) Neither letters nor digits may be repeated?Show reasoning
Hi how are you may you please teach me how to slove these problems it will be very helpful
Course: GeometryUnit: Quadrilaterals and PolygonsSection: ParallelogramsAssignment: Parallelogram ProofsPoints: 501. Given parallelogram WXYZ, complete each statement and state the property or definition that justifiesyour answer. [1 point for each blank and 2 points for justification. 20 points total.]Wa. WZ || XYJustification:Parallegramb. ZC = XCand YC = WCJustification:C. ZWXY = WZYJustification:d. WC = _ WY2and XC = =N/ -Justification:e. ZXYZ andare supplementary.Justification:f. ZWCX =Justification:
Suppose that at a certain instant the volume is 540 cubic centimeters and the pressure is 83 kPa and is decreasing at a rate of 11 kPa/minute. At what rate in cubic centimeters per minute is the volume increasing at this instant?
1. Graph the following systems of equations. a) x=4y=-2b) 2x+3y=1y=-2/3x+4c) y= -1/3x+1-6x+2y=22. Describe what each pair of equations looks like when graphed. For example, are they intersecting, parallel, or perpendicular lines? If they are intersecting or perpendicular, what is the point of intersection? You should have 3 answers for this question, one for each system of equations. (6 pts)a)b)c)Sample response: The lines for 1d are parallel; therefore they don’t have an intersection point.3. Write a paragraph (min 100 words) explaining what patterns you found when graphing. What did you notice about the slopes of the lines? Are there other methods aside from graphing that you can use to solve systems of equations? If so, what are they? (4 pts)Post your answers to questions 2 and 3 in your Individual Forum. You do not have to attach the graphs. Please do not post it as an attachment. Post it as text in the box
If you have a building that is 563. 2 meters high and there is a flag pole 265. 4 meters away and you look at the base of the pole from the top of the building at an angle of 45. 6 degrees how tall is the flag pole?
What similarities and differences do you see between functions and linear equations studied ? Are all linear equations functions? Is there an instance in which a linear equation is not a function? Support your answer. Create an equation of a nonlinear function and provide two inputs for your classmates to evaluate.
A pilot flies south 100 miles then east 100 miles then north 100 miles and ends up back where she started. Where might she have started?
A pilot flies south 100 miles then east 100 miles then north 100 miles and ends up back where shestarted. Where might she have started? She might have started at North-west.
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