Question 1 Report
Evaluate ∫21(6x2−2x)dx
Answer Details
∫21(6x2−2x)dx=[6x33−2x22]21=[2x3−x2]21 ∫ 1 2 ( 6 x 2 − 2 x ) d x = [ 6 x 3 3 − 2 x 2 2 ] 1 2 = [ 2 x 3 − x 2 ] 1 2 = [2(2)3 - (2)2] – [2(1)3 - (1)2] = [16-4] – [2-1] = 12 – 1 = 11
Find the values of x and y respectively if ⎛⎜⎝10−1−122⎞⎟⎠ ( 1 0 − 1 − 1 2 2 ) + ⎛⎜⎝x1−10y−2⎞⎟⎠ ( x 1 − 1 0 y − 2 ) = ⎛⎜⎝−21−2−1−300⎞⎟⎠
A binary operation on the set of real numbers excluding -1 is such that sor all m, n ε ε R, m Δ Δ n = m + n + mn. Find the identity element of the operation.
(−2123) ( − 2 1 2 3 ) + (pqrs) ( p q r s ) = (1001) ( 1 0 0 1 ) . What is the value of r?
Find the angle subtended at the centre of a circle by a chord which is equal in length to the radius of the circle
If p varies inverse as the square of q and p = 8 when q =4, find q when p = 32
If logX12 l o g X 1 2 64 = 3, find the value of x.
if X = {n2 + 1 : n = 0, 2, 3} and y = {n + 1 : n = 2, 3, 4, 5}, find x ∩ y
Evaluate 38÷12−1318×23+13
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