Advance maths In (Figure 1), f(x)= 4cos(π10x) , a = 4 in ., b = 5 in . Determine the moment of inertia of the area about the y axis. Express your answer with the appropriate units.

Q: Find the area inside one petal of the curve r = 4 sin(20).

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Q: J17 cot"x dx

A: I=∫17cot4x.dxI=17∫cot4x.dx…

Q: determine the area of the curve r = v V3 cos e + sin 0 that is below the r-axis.

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Q: Q-Find the area of the region that outside r= 2 sin (e) and insider (1+cos e)?

A: Given functions are r=2sinθr=1+cosθ These are plotted on cartesian plan using graphing calculator.

Q: Give an interval over which you could integrate to find the area of one leaf of the rose r = 2 sin…

A: r=2sin3θ

Q: Find the area of the region inside one leaf of the five-leaved roser= cos 50.

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Q: Differenciate and simplify where possible

A: Introduction: Mathematicians use a procedure called differentiation to determine a function's…