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Find the centroid of the solid generated if the area bounded by xy=4,x=2,x=4,y=0 revolving about x-axis
Find Mx and My for the first quadrant area bounded by x^2=y^2=a^2 and the coordinate axes
A.) Evaluate: Integration of (3t+t^2) sin(2t)dt
B.) Solve: {2xy cosx^2 - 2xy + 1}dx + {sinx^2 - x^2 + 3}dy = 0Find the domain of r(t) and the value of r(t0).4. r(t) = 2e−t ,sin−1 t, ln(1 − t); t0 = 0
Find the domain of r(t) and the value of r(t0).1, t 2; t0 = 1
. Initially 100milligrams of a radioactive substance was present. After 6 hours the mass has decreased by 3%. The rate of decay is proportional to the amount of the substance present at time t. Determine the half-life of the radioactive substance.
ind the dimensions of the rectangle of largest area that has its base on the x-axis and its other two vertices above the x-axis and lying on the parabola.
y = 7 − x2
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13, Let p be the number 1425, then there is a number such that;
A. n=432p + 90
B. n=3p+1
C. n= pq+1/2
D. n=432p +129
E. n = 435p + 123
Determine the field of existence of the function f(x) = 1 / √(1-3x)
