kpad Maths questions (1 Viewer)

[kpad5991]

1) Sketch the region |x-2y|<= 4

2) One root of 2x^2-3x+k=0 is twice the other. find the value of k.

3) Solve for 0<= x <= 360

6sin^2x - sin x -1 = 0

4) In the equation -3x^2 - (k+1)x +5 = 0 the roots have equal magnitude but opposite signs. Find the value of k.

5) Solve |x-1| <= 2x

6) the roots of x^2+6x+c=0 differ by 3. find both roots and the value of c

7) For the parabola y=kx^2+4x+k.

(a) Find the possible values of k.

(b) if the axis of symmetry of this parabola is x= 0.5. Find the maximum value of the expression kx^2+4x+k as x varies.

8) Find he acute angle x such that cos (40+ x) = sin (2x-19)

9) Solve for 0<=x<=360

(a) 2sinx = tan x

(b) 2cos^2x = 1-sin x

10) Sketch the graph y = 3 sin (0.5x) for -360<=x<=360

 

[jazz519]

Don't want to put you down but most of these questions are easy, it just seems like you want someone to do your hw. You could easily find examples on how to do most of these in your textbook.

 

[Kingom]

1) Sketch the region |x-2y|<= 4

2) One root of 2x^2-3x+k=0 is twice the other. find the value of k.

3) Solve for 0<= x <= 360

6sin^2x - sin x -1 = 0

4) In the equation -3x^2 - (k+1)x +5 = 0 the roots have equal magnitude but opposite signs. Find the value of k.

5) Solve |x-1| <= 2x

6) the roots of x^2+6x+c=0 differ by 3. find both roots and the value of c

7) For the parabola y=kx^2+4x+k.

(a) Find the possible values of k.

(b) if the axis of symmetry of this parabola is x= 0.5. Find the maximum value of the expression kx^2+4x+k as x varies.

8) Find he acute angle x such that cos (40+ x) = sin (2x-19)

9) Solve for 0<=x<=360

(a) 2sinx = tan x

(b) 2cos^2x = 1-sin x

10) Sketch the graph y = 3 sin (0.5x) for -360<=x<=360

These questions are very easy compared to standard HSC-type examination questions. Most of these are doable by inspection and are thus left as exercises to the reader

 

[1729]

1) Sketch the region |x-2y|<= 4

2) One root of 2x^2-3x+k=0 is twice the other. find the value of k.

3) Solve for 0<= x <= 360

6sin^2x - sin x -1 = 0

4) In the equation -3x^2 - (k+1)x +5 = 0 the roots have equal magnitude but opposite signs. Find the value of k.

5) Solve |x-1| <= 2x

6) the roots of x^2+6x+c=0 differ by 3. find both roots and the value of c

7) For the parabola y=kx^2+4x+k.

(a) Find the possible values of k.

(b) if the axis of symmetry of this parabola is x= 0.5. Find the maximum value of the expression kx^2+4x+k as x varies.

8) Find he acute angle x such that cos (40+ x) = sin (2x-19)

9) Solve for 0<=x<=360

(a) 2sinx = tan x

(b) 2cos^2x = 1-sin x

10) Sketch the graph y = 3 sin (0.5x) for -360<=x<=360

 

[1729]

In Q1, |x - 2y| = 4 represents the two lines x - 2y - 4 = 0 and x - 2y + 4 = 0. So the inequality represents the region between these two parallel lines (test the point (0,0) to check).

 

[kpad5991]

You really shouldn't jump to conclusions I actually did 10 past exam papers and these are the questions I was having trouble with and yes I have trouble with the easy questions. I just need a start for each I don't want anyone to solve it just a start before I actually go to my teacher. I prefer to attempt things on my own and then only go to my teacher if I'm absolutely stuck. So no this isn't homework.

 

[bujolover]

To this I will add:

1) -4 ≤ x - 2y ≤ 4

7) (a) Use the discriminant ≥ 0, and solve for k.

(b) Rearrange the function in the form y = a(x - p)² + q.