et \( f \) be a function defined by \[ f(x)=\frac{2(x+1)}{x^{2}}, x \neq 0 \] (a) Use the sign pattern for \( f^{\prime}(x) \) to determine the interval( \( s \) ) over which \( f \) rises and where the fal (b) Determine the coordinates of the local extreme point(s). (c) Use the sign pattern for \( f^{\prime \prime}(x) \) to determine the interval \( (s) \) over which the graph of \( f \) is (d) Determine the coordinates of the inflection point.

42. \( \frac{3}{4}-\frac{1}{2} \)

रविजबळ काही झ्रेंड्री फुले आहेत. त्याला समान फुले असलेले हार करायचे आहेत. त्याने 14,18 किवा 32 फुले ओवून हार तयार केले, तर त्याच्याजवळ एकही फूल शिल्लक राहत नाही, तर त्याच्याजवळ कमीत कमी किती झंडूरी फुले आहेत? (गुण 2)

Запишите число 0.00056 в научной нотации.

2.) The cost of a camera bag is \( \$ 28.50 \). \( 10 \% \) off, what is the new discounted

2.1. Solve for \( x \) 2.1.1. \( \frac{3}{5}(2 x+7)-3=\frac{5 x-2}{3} \) 2.1.2. \( x^{2}-10 x+24=0 \) 2.2. Solve simultaneously for \( x \) and \( y \) : \( -2 x-y=10 \) and \( 3 x-4 y=-4 \) 3. Timothy a grade 10 learner was challenged by his friend that very few learners can get this maths riddle solved. Help Timothy to solve the problem. Divide 57 in two parts so that one half of the greater part is 11 more than one fifth of the smaller part. Suppose the greater part is \( x \).