True or false: A problem is ill-conditioned if its solution is highly sensitive to small changes in the problem data.

True

Step-by-step explanation:

True, a problem is ill-conditioned if its solution is highly sensitive to small changes in the problem data.

However, higher-precision arithmetic will make an ill-conditioned problem better conditioned.

In an ill-conditioned problem, for a small change in the independent variable, there is a large change in the dependent variable.

constant acceleration- a

constant velocity- c

no velocity or acceleration- b

explanation:

for body moving with a constant acceleration, the rate of change of displacement changes over time. this is proven by the increasing gradient of the curve (a) against time.

a body that is moving at constant velocity covers equal distances over equal periods of time, thus the straight line with a constant gradient c.

a stationary body   covers no displacement as time elapses. thus the flat line with   zero gradient.

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5