Hello I need help on homework, there are 18 questions scattered throughout, I don't need the work, and you don't have to do all of them
. Question 1 . Question 7 (In( - 10 tam(=]la(=))) Suppose f(4) = - 2 and f' (4) = - 9. Suppose lim 1(-5+ h) - 1(- 5) = 3. She ' 10san(3)lolz) ar ( - 10 tan(z]In(z)) 1. The equation of the tangent line of f at 4 is I(x) = 1. S'( - 5) = 2. Approximate f(4.52) to the nearest 2 decimal places f(4.52) 2. Given that f( - 5) = - 9, the equation of the tangent line f(z) at - 5 is - 10 tan(2 )lola) (- 10(see'(2))((=]) - 10=)(!)) Part 1 of 3 dentity the property/prop mputation. Suppose p(x) is the daily profit of a coffee shop for charging a dollars per 12 oz of coffee. The coffee shop is always looking to adjust their price of coffee to increase profit. . Question 8 1. Step 1 Const. Rule Sum Rule Product Rule Suppose the current price of a 12 oz coffee is 2.5 dollars and p'(2.5) = - 4. Should the coffee shop raise Difference Rule Quotient Rule the price or increase the price of a 12 oz coffee? Suppose lim f( - 5 + h) - 1( - 5) = 6. Chain File Increase Price . Step 1 onst. Rule Decrease Price Sum Rule Product Rule wer Rule Difference Rule Quotient Rule 1. The equation of the tangent line of f at ( - 5, 3) is y amon Der Conte, Mult. Belle Chain Rule Part 2 of 3 3. Step ] Suppose the current price of a 12 oz coffee is 3.6 dollars and p'(3.6) = - 20. Should the coffee shop raise 2. The equation of the normal line of fat ( - 5, 3) is y = Const. Rule Sum Rule Product Rule the price or increase the price of a 12 oz coffee? wer Rule Difference Rule Quotient Rul . Question 11 mon Der Const. Mult. Rule Chain Rule Decrease Price Increase Price Const. Rule Sum Rule Product Rule Suppose lim /(z + h) - 1(2) = 3 - 3x - 18 for all real numbers z. wer Rule Difference Rule Quotient Rule Part 1 93 9 imon Der Const. Mult. Rule Chain Rude Suppose P(t) (in billions) is the profit of a pharmaceutical company in year f. Recall the mariginal profit is given by the derivative of the profit function, P'(t). Suppose P'(2014) = 6 and P' (2019) = - 6. 1. The slope of the tangent line of f at 2 is . Question 18 Question 1 In 2014, did the pharmaceutical company's profit increase or decrease 2. The slope of the normal line of f at 2 is Increase Decrease . The slope of the tangent line of f at 5 is Part 2 of 4 4. The slope of the rmal line of f at 5 is Identify the missing pieces in the computation below. Question 2 The rate that the company's profit is increasing in 2014 is billion dollars per i. For what value(s) of a is the tangent line of f horizontal, = = year. . Question 1 Ir (In(de' cac(x)) + Sin(2) Part 1 of 6 -5 Suppose the height (measured in feet) of an object at time t (hours) is given by Set f(I) = _. Complete the following computation: d ( sin(I) s(t) = - - 34 + 84 + 500 Step 1 d (fi(x) ) + dr (-5 Question 1 The units of the velocity of the object are f'(x) = lim Step1 feet hours feet per hour feet per hour per hour where a Part 2 of fi(x) = Question 2 The velocity of the object is given by = h-+0 h (8x + 8h - 5)(8x - 5) v(t)= where b = . Question 19 . Question 5 Take the limit = Identify the missing pieces in the computation below. set f(z) = -5+4x if a $ 1 Question 13 -2x' +le if a > 1 Set /(x) = v3x + 3. Complete the following computation: d tan (cos(x) + z?) Use the definition of the derivative, to complete the following computations In(x) f'(z) = a - v3x + 3 For z
