Which of the following statements are correct about the IS curve?
(A) It shows the combination of the interest rate and the level of income such that the money market is in equilibrium.
(B) It is negatively sloped.
(C) The smaller the multiplier and the more sensitive investment spending is to changes in the interest rate, the steeper the IS curve.
(D) An increase in government purchases shifts the IS curve to the right.
Choose the correct answer from the options given below:
In the context of the Keynesian concept of a multiplier, a \(\$\)1 increase in government spending financed by a \(\$\)1 increase in taxes will cause equilibrium income to:

A ladder of fixed length \( h \) is to be placed along the wall such that it is free to move along the height of the wall.
Based upon the above information, answer the following questions:
(iii) (b) If the foot of the ladder, whose length is 5 m, is being pulled towards the wall such that the rate of decrease of distance \( y \) is \( 2 \, \text{m/s} \), then at what rate is the height on the wall \( x \) increasing when the foot of the ladder is 3 m away from the wall?