Someone please help me with these calculus question.
Use Equation 3.1 to find the slope of the secant line between the values a and 12 for the function y = f(I). Round to at least 2 decimal places, or answer exactly. 09 f(x) = 41 - ; 01 = 1. 22 = 3 Slope: Preview TIP Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 243, 5+4) Enter DNE for Does Not Exist, oo for InfinityUse Equation 3.1 to find the slope of the secant line between the values a, and 12 for the function y = f(I). Round to at least 2 decimal places, or answer exactly. f(x) = vx - 4; 01 =5, 12 = 8 Slope: Preview TIP Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 23, 5+4) Enter DNE for Does Not Exist, oo for InfinityUse Equation 3.4 to find the slope of the tangent line mean- f (a) and then find the equation of the tangent line to f at = = a. 109 f(x) =. Slope: Preview Equation of tangent line: y = PreviewThe given nictions represent the position of a particle traveling along a horizontal line. t at: l) 1+:2 3. Find the velocity and acceleration functions. vm= : as}= : 1]. Determine the time rtervals when the object is slowing down or speeding up.Assume t 22- . Hint: A particle is not necessarily speeding up just because its acceleration is positive. It's 510mg am an the isms; : [tripemupmimm : A potato is launched vertically with an initial velocityr of 1513 this ora the top of a lfoottall building. After t seconds= its height above the ground is given by t} = lt2 + 150.? + 15D. Round your answers to 2 decimal places. a. Find the velocity of the potato after [1.5 s and 5'25 s. After 0.5 seconds the velocity is : fta's. After \"125 seconds the velocity is :| fta's. E]. Find the speed ofthe potato aer [1.5 s and 7.25 s. After 0.5 seconds the speed is : ftr's. After T25 seconds the speed is : ftr's. c. Find the acceleration of the potato aer 3.5 s and T25 s. After 0.5 seconds the acceleration is : ftr'sz. After 7.25 seconds the acceleration is :l ftx'sz. d. Determine how long the potato is in the air. The potato is in the air for : seconds. e. Deteerrnine the velocity of the potato upon hitting the ground. The velocity as it hits the ground is :\\ ere. The cost function, in dollars, ofa companj,r that manufactures food processors is git-'en b}; 2 4 (3(1) 2 250 + E + I? where a; is the number of food processors manufactured. a. Find the marginal cost function. C'{z}= : b. Find the marginal cost of manufacturing 15 food processors. Round to the nearest ceirt. m} = 2a: c. Find the actual cost of manufacturing the sixteenth food processor. Round to the nearest cent. $: For the function y = f(x), find f'(a) using Equation 3.4. f(x) = x' + 5x +5;a= -3 f' (a) = Preview TIP Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 243, 5+4) Enter DNE for Does Not Exist, oo for Infinitydy Given y = f(u) and u = g(x), find by using Leibniz's notation for the chain rule: dy dy du dx du dx y = 4u , u = 2x + 5 dy Preview dx TIP Enter your answer as an expression. Example: 3x/ 2+1, x/5, (a+b)/c Be sure your variables match those in the question Get Help:For the function y = f(x), find f'(a) using Equation 3.4. f(x) = :0 =1 f' (a) = Preview TIP Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 243, 5+4) Enter DNE for Does Not Exist, oo for InfinityUse the following graph to evaluate f' ( - 5) and f' ( - 2). 10+ 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 4 6 8 9 10 f' ( - 5) = Preview f' ( - 2 ) = PreviewFind the equation of the tangent line to the graph of the equation tan' 1{:I: + y] = 2 + E at the point {1, U}. P:- Enter you answer as an expression. Example: 3x\"2+1, m5, {a+b]u'e Besnreyonrvariablesmatehsoaeinihequuon Get Help: Suppose that N{z} computes the number of gallons of gas used by a vehicle traveling 3 miles. Suppose the vehicle gets 15 mpg. Round to 2 decimal places, where necessary. a. Find a mathematical expression for Nib: me : WNW: mmmephmmm mmmaw: watchtowe
