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find the maximum height of the curve
y = 4sin x - 3cos x above the x axis.
Find the maximum height of the curve
Find the center of mass of a triangular sheet whose vertices are (8, 0), (2, 6) and (2, 0), whose density function is

p (x, y) = x + y + 1







Integral sech √x tanh √x/√x dx


f(x)=(3x^(3)+5)*e^(2x^(2))


Evaluate the double integral by polar coordinates. Integral D 8- 2x² - 2y²dA,


Find the total mass of the given rod and the center of mass.

1. The length of a rod is 6 m and the linear density of the rod at a point x meters from one end is (2x + 3) kg/m.

2. The length of a rod is 9 in. and the linear density of the rod at a point x inches from one end is (4x + 1) slugs/in.

3. The length of a rod is 12 cm, and the measure of the linear density at a point is a linear function of the measure of the distance from the left end of the rod. The linear density at the left end is 3 g/cm and at the right end is 4 g/cm.

4. The measure of the linear density at any point of a rod 6 m long varies directly as the distance from the point to an external point in the line of the rod and 4 m from an end, where the density is 3 kg/m.

5. The measure of the linear density at a point of a rod varies directly as the third power of the measure of the distance of the point from one end. The length of the rod is 4 ft and the linear density is 2 slugs/ft at the center.
Find the length of the curve given by x = t
if f(x)= sin⁻
please do this question as it is very urgwnt for me and for my assignments.



Trace the curve y = 8/(4-x^2) and state all the properties you use to trace it.
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