Question A parabola has a vertex at (-3,2). Where is the axis of symmetry?

(a) Find the average rate of change of the area of a circle with respect to its radius r as r changes from (i) 2 to 3 (ii) 2 to 2.5 (iii) 2 to 2.1 (b) Find the instantaneous rate of change when r=2 . (c) Show that the rate of change of the area of a circle with respect to its radius (at any r ) is equal to the circumference of the circle. Try to explain geometrically why this is true by drawing a circle whose radius is increased by an amount $\Delta r$ . How can you approximate the resulting change in area $\Delta A$ if $\Delta r$ is small?

Accrotime is a manufacturer of quartz crystal watches. Accrotime researchers have shown that the watches have an average life of 26 months before certain electronic components deteriorate, causing the watch to become unreliable. The standard deviation of watch lifetimes is 4 months, and the distribution of lifetimes is normal. (a) If Accrotime guarantees a

2.(a) Explain why a vessel laden to the same draught on differentvoyages may have different natural rolling periods. (5)(b) Explain the term synchronous rolling, describingthe dangers associated with it. (6)(c) State the actions to be taken by the ship's officer when itbecomes apparent that the vessel is experiencing synchronousrolling. (5)

​​​​​​​please answer the top and bottom question as I'm almost out of credit. Thank you! Compound A can undergo direct photochemical conversion with light at 400 nm to compound B with a quantum efficiency of 0.004. The concentration of compound A used in the experiment resulted in an absorbance of 0.2 at 400 nm. If the experiment was carried out over 10 minutes with a constant light flux to the sample bottle of 100 umol photons s-1then calculate the total amount (in moles) of compound B that was formed during the experiment. For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). B I y S Paragraph Arial 10pt A TK 品色 0 Q 6 S V > < ... - mi < ABC lil X2 X2 Q The - +] T 19 D > Х I! AH 由 +H EXE 图 +: 2 <> Ť {:} o ? Ra КУ + Р O WORDS POWERED BY TINY QUESTION 2 points Save Answer What chemical form of Mercury was responsible for the death of Professor Karen Wetterhahn in 1997?

Polarization of sum of two linearly polarized vector fields. Two sinusoidally time-varying, linearly polarized vector fields are given at a point by F1 = (Cax + Ca, + az) cos 27T X 10t F2 = (Cax + ay 2a,) sin 27T X 10Ⓡt where C is a constant. (a) Determine the polarization of the vector Fi + F2 for C = 2. (b) Find the value(s) of C for which the tip of the vector F1 + F2 traces a circle with time.

Answer the question below: Draft a Risk management investigation project proposal for an underground Mining company of your choice. (100 marks)