2 of 2 Auth Trapezoid P a b c d Circle C 2ar A ar Right Circular Cylinder Vwr h S 2x 2xrk Sphere V S 4x Right Circular Come V ark Swar 312 For the circle and sphere 1 a Find dC in term of dr What is dC if dr 1cm b Express the radius r in terms of the circumference C Find dr in terms of dC Find dr if dC 2 cm Ans a dC 2ndr dC 2 cm if dr 1 cm b r C 2n dr dC 2 dr 1 cm 2 a Find dA in term of dr What is dA if when r 12 cm and dr 0 1 cm b Express the radius r in terms of the area A Find dr in terms of dA Find dr if A 167 cm and that dA 1 cm 3 a Find area A in terms of the circumference C Find dA in term of dC What is dA if when C 87 cm and dC 0 1 cm Ans b r b Find the circumference C in terms of the area A Find dC in terms of dA Find dC if A 167 cm and that dA 1 cm Ans a A C 4x dA C 2n dC dA 0 4 cm b C 2n 2A 2 dC 2A 1 2dA dC 4 cm 1 a Find dV in term of dr What is dV if dr 0 1cm when r 10 cm b Express the radius r in terms of the volume V Find dr in terms of dV Find dr if dV 1 cm when V 36 x cm dr V dV dr 0 190 2 a Find dS in term of dr What is dS if dr 0 1cm when r 10 cm b Express the radius r in terms of the surface area S Find dr in terms of ds Find dS if dV 1 cm when V 36 cm Ans a ds 8 r dr ds 8 cm 3 a Find volume V in terms of the surface S Find dV in term of ds What is dV if when S 167 cm and that dS 1 cm 1 36 b Find the surface S in terms of the volume V Find dS in terms of dV Find dS if V 367 cm and that dV cm Ans b S 4x 3 3 25V 2 3 ds 4m 3 v dv ds 4n 3 36n 1 3 Also be able to explain what each result means 6 Determine if a given function is continuous at a point x a Justify your answer clearly by showing all the algebra with limits 6 Continuous vs Differentiable Functions Vid Is the following function continuous at x 1 Justify your answer clearly 1 x f x x 1 1 x x 1 x 1