Mathematics Homework Solutions

Find by the method of summation the value

Integration as the limit of a sum (I) Find by the method of summation the value of:- ...continues

Integration as the limit of a sum

Integration as the limit of a sum (II) Find by the method of summation the value of:- ...continues

Integration as the limit of a sum

Find by the method of summation the value of :- 1 4 (a) ∫ √x dx (b) ...continues

Integration as the limit of a sum

Find by the method of summation the value of :- a � π (a) ∫ sin nx dx ...continues

Write expression as the sum or differences of logarithms

log base2 (a^2*square root of b) to the 4th

Inverse functions

Find the inverse function of F(x) sqr root of x-2

Evaluate the radius of curvature at any point (x,y) for the curves : (a) y = log sin x (b) ay2 = x3

Curvature (II) Differential Calculus Evaluate the radius of curvature at any point (x,y) for the curves : (a) y = log sin x (b) ay2 = x3 See attached file for full problem description.

Evaluate the radius of curvature at any point (x,y) for the curves

Curvature (III) Differential Calculus Evaluate the radius of curvature at any point (x,y) for the curves : (a) xy = c2 (b) y = (1/2)a(ex/a + ...continues

Find ds/dθ for the curves : (a) r = a(1 + cos θ) (b) r = aeθcotα

Tangent and Normal (I) (Differential Calculus) Find ds/dθ for the curves : (a) r = a(1 + cos θ) (b) r = aeθcotα See attached file for full problem description.

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