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Mathematics: Post your doubts here!
In the 'ii' part, we'll construct a circle with center 1,2 and radius 2. Using that same diagram for the 'iii' part to find the greatest arg z, we'll draw a tangent to the circumference of the circle and make the x-axis our base line, like the one illustrated in this diagram (tangent and the... -
Mathematics: Post your doubts here!
is the answer 10.4° and 61.2°? -
Physics: Post your doubts here!
P = (1/3) x [(Nm)/V] x <c^2. N = number of molecules m= mass of 1 molecule V = volume of the gas <c^2> = mean squared speed or P = (1/3) x (ρ) x <c^2> ρ = density -
HELP NEEDED URGENT !!!!!!
I had the same breakup grades as yours in AS Level Mathematics and what I got was a B grade. If you want an overall A grade in Mathematics, you should work hard and try to get good grades in P3 and M1. -
Mathematics: Post your doubts here!
Such questions in which you've to take a substitution yourself have never appeared in the previous maths paper 3's but still this's how you'll do it: Take the substitution x -4 = (u)^2 x = (u)^2 + 4 dx = 2u du Substitute the value of 'x' and 'dx' with 'x = (u)^2 + 4' and 'dx = 2u du'... -
Mathematics: Post your doubts here!
First of all, you'll simultaneously solve the curve equation and the line equation. y = x^2 y = x + 2 x^2 = x + 2 x^2 - x - 2 = 0 x^2 - 2x +1x -2 = 0 x ( x - 2) + 1 (x - 2) =0 x = 2, x = -1 Now we have the x-coordinates of the point at which the curve meets the line. Accordingly, we'll... -
Mathematics: Post your doubts here!
The point where it crosses the 'y-axis', x=0 over there. Differentiate 'y = (x^3) + (3x^2) - 2x - 6' with respect to 'x' to obtain the gradient function. The gradient function is '(dy/dx) = (3x^2) + 6x - 2'. Insert 'x=0' in this equation to get a value for the gradient which is '-2' in this... -
Mathematics: Post your doubts here!
Simply write it as (dy)/(dx) = (3x^2)/2 + x + c in the next step. -
Mathematics: Post your doubts here!
First of all, you'll integrate (d^2)y / (dx^2) = 2x + 1 to obtain the gradient equation. The gradient equation will come out to be (dy) / (dx) = (x^2) + x + c. To find the value 'c', you'll substitute dy/dx=3 and x=-1 in this equation. The value of 'c' comes out to be 3. Now you have the... -
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Mathematics: Post your doubts here!
In the first part, we need to find out the values of 'R' and 'α'. We are given the equation 'cos θ + (√3) sin θ' and using this we can easily calculate the values of 'R' and 'a'. To find 'R', we'll use the formula √[(a)^2 + (b)^2] and to find 'α', we'll use the formula tan α = (b)/(a). Doing it... -
Mathematics: Post your doubts here!
AS Mathematics Trig. or A2 Mathematics Trig.? And are there any specific questions in which you are having problems? -
Mathematics: Post your doubts here!
To find A and B, you can take any values of x, y and z such that if you put those values in the equation of the plane, their sum equals to '4'. For example: Take A = (2, 0, 0) & Take B = (0, 0, 1) Clearly A and B are on the plane since each point satisfies the equation of the plane. The... -
Mathematics: Post your doubts here!
you sure did except for missing out one 'y' in my username :cool: anyways, you are welcome. -
Mathematics: Post your doubts here!
Okay so this is how you'll do the first question you've mentioned. You need to find the upper and the lower limit first because without it you wont be able to calculate the area enclosed between the curves. You'll find the first limit by keeping both the curves equal to each other (in other... -
Mathematics: Post your doubts here!
I think you didn't clearly look at the diagram which is printed in the book. The point at which the curve and the vertical line intersects is x=1. Therefore, we'll first integrate y = 1 / (2x + 1)^2 using '1' as the upper limit and '0' as the lower limit. After integrating, we'll obtain the... -
Physics: Post your doubts here!
you should post the questions over here in which you are facing difficulties or have problems solving them. -
Mathematics: Post your doubts here!
Differentiate 'y=k/x' using the quotient rule. The derivative will come out to be 'dy/dx=(-k) / x^2'. Then substitute the value of x=2 and the gradient (dy/dx)=-3 in this equation and calculate the value of 'k'. The value of 'k' is 12. If you are finding it difficult to differentiate, then it'll... -
Mathematics: Post your doubts here!
You'll first find the co-ordinates of C which'll be (10,0). Now as BA=CD, you can find the coordinates of D by vector move. To go from B to A, you need to move 4 places to the left on the x-axis (-1, 0, 1, 2) and 6 places upwards on the y-axis (9, 10, 11, 12, 13, 14). Now you'll simply add '4'... -
Mathematics: Post your doubts here!
[(1 + sin x) / cos x] + (cos x / (1 + sin x)] Take the LCM and write it as a single fraction. {[(1 + sin x)^2 + cos^2 x] / cos x(1 + sin x)} Expand (1+sin x)^2 so that it becomes 1 + 2 sin x + sin^2 x. Now in the numerator you have 1 + 2 sin x + sin^2 x +cos^2 x. Recall the identity sin^2 x...