Calculus question and answers for March 12, 2024
- Q 3 n n is an n th Riemann sum on the interval 0 1 so AX Rn n lim Rn n x n n HINT The limit is a definite...
- Q 13 An apple orchard now has 30 trees per acre and the average yield is 400 apples per tree so the crop is 12 000 apples per acre For each...
- Q 20 Which of the following statements about indefinite integrals are true I f f x g x dx f f x dx f g x dx II f f x...
- Q 11 A plane flying horizontally at an altitude of 9 mi and a speed of 470 mi h passes directly over a radar station Find the rate at which the...
- Q 14 Find the horizontal asymptotes to Hoid 192 LAS A y 2 amwollol B y 1 C y 0 D DNE
- Q car moves along the x axis with position from the starting point given by some function S t If the acceleration a t S t is positive then the SPEED...
- Q 17 1 4x dx A VI 4x C B 1 4r 3 2 C LIN C 1 4x 3 2 C D x 1 4x C 1 VIE E 1...
- Q 10 If y is implicitly defined by 4 cos x sin y 1 Then y A 1 4 1 1 sin x cos y bb C 1 4 tan x...
- Q 72 sin 2x 3 dx A cos 2x 3 C B cos 2x 3 C C cos 2x 3 D cos 2x 3 C 1 E cos 2x 3 C
- Q 5 g x x tan x sin x g x A 2x sec x cos x B 2x tan x sin x x 1 1 x 1 1 x C...
- Q 3 lim x x x 5 x x HINT Use the conjugate of x x 5 to simplify the expression DAUPHINS A Does not exist B 1 C 0 D...
- Q 7 If g x tan sec x then g x 02 192 A 3 tan secx B 3 tan secx tan x C 3 tan sec x sec I D...
- Q 9 If h x x 4 sin x 2 then h x anonton A 2x cos x 2 B 4x2 sin x 2 C 4x cos x 2 D 2x...
- Q 2 lim sin 4x sin 6x x 0 uds 0 C 0 D 1 E Does not exist A 3 2 B 2 3 C 0
- Q 8 If y A x 1 x 1 D then dy OT du dx x 3x 2x 2xx x 1 2x 3x x B x 1 3x2 pex 1 G...
- Q 6 If f x 2x43x 9 then f x old xare pul daizs fon 290 A 2x 3x B 8x 6x C 8x 6x 9 D 5
- Q 4 lim sin x sin x X T
- Q 7x4 8x 13x4 16x 1 lim a x 5 A B 0 C 1 D 1 2 E 13
- Q 1 2 12 14 Final Sum Factor each completely 1 16x 36x 70 A 2 2x 7 4x 5 B 2 2x 7 4x 5 C 4x 7 2x 5...
- Q b x 24 2x3 5x2 1 x 2 4 4
- Q You go to the doctor and he gives you 17 milligrams of radioactive dye After 12 minutes 8 milligrams of dye remain in your system To leave the doctor s...
- Q A wooden artifact from an ancient tomb contains 45 percent of the carbon 14 that is present in living trees How long ago to the nearest year was the artifact...
- Q Question 2 The half life of Radium 226 is 1590 years If a sample contains 300 mg how many mg will remain after 4000 years mg Give your answer accurate...
- Q k x e sin x
- Q w x cos x 1 sin x 0 T
- Q X 1 3 4 7 g x 2 1 7 9 C 2 g x 3 8 5 2 Let and gbe inverse functions wheref g 1 The table above...
- Q In x limx 0 sin a limx 2x 1 3x 1 32 22 limx 0x2
- Q x 7 7 x x y
- Q Part III No Calculators Allowed 11 Consider the curve given by 2y2 3xy 2x 12 dy dx a Show that 6x 3y 3x 4y b Is there a horizontal tangent...
- Q c x x 1 1 3
- Q s x 3e2ln x 1 4
- Q 8 x9 zx x a 0
- Q 2 For the following functions find the critical points determine whether each critical point is a local minimum local maximum or neither and provide the global minimum and global maximum...
- Q 1 Calculate the following limits Use L Hopital s rule if necessary X e x cos x x limx In 1 limx 0 limx 1 sin x x e2 e...
- Q T 13 14 b x 2 24 2x3 5x2 1 x 2 c x x 1 4 4 1 3
- Q 3 In the development of a new drug a certain medication concentration in the bloodstream C t measured in miligrams per mililiter is modeled by the function C t 1...
- Q 4 In a process bacteria are utilized to produce a specific enzyme through fermentation The rate of enzyme production E t measured in units per hour is modeled by the...
- Q 14 Given the graph for f has a domain of 2 6 and range of 0 8 Let g x 3f x 2 Find the domain and range of g...
- Q 7 Use the graph of f to find the following J a Domain 0 3 3 47 0 4 00 b Zero s 2 points each c Limit Notation of...
- Q 5 4 The function f is given by f x x 2x The function g is the result of a transformation of f and is given by g x 2x...
- Q 10 275 X
- Q 22 tan 945 X
- Q 9 455 X
- Q 21 sin 150 X
- Q 10 275
- Q 19 cos 0 1020
- Q os 0 300
- Q 17 tan 0 315
- Q 1 A conical paper cup 3 inches across the top and 4 inches deep is full of water The cup springs a leak at the bottom and loses water at...
- Q 13 cos 0 120
- Q 2 2 2 d
- Q a 3 points Sketch the graph of f x 2 e by transforming the graph of y e Include any relevant asymptote on your graph 30 y 0 OR X...
- Q 8 4 points The number of bacteria in a culture is increasing according to the law of exponential growth n t noe L of bacterial after 2 5 hours Initially...
- Q 5 The length of a solid cylindrical cord of elastic material is 32 inches A circular cross 1 section of the cord has radius inch a What is the volume...
- Q Given the curve x xy 2y 6 a Find an expression for the slope of the curve at any point x y on the curve b Write an equation for...
- Q 4 where Assume that a particle s position on the x axis is given by x 3 cost 4 sint x is measured in feet and t is measured in...
- Q 2 Let y f x be the continuous function that satisfies the equation x 5x y 4y 0 and whose graph contains the points 2 1 and 2 2 Let...
- Q 3 Given the curve x xy y 9 a Write a general expression for the slope of the curve
- Q 1 Given the curve x xy 2y 6 a Find an expression for the slope of the curve at any point x y on the curve
- Q 4 Let f x 3x 2 a Determine algebraically whether the function is even odd or neither 31 1 bus S 81 olev giwollel b Find the difference quotient f...
- Q Find f Jes 2x Cos Cx
- Q 10 Represent f x 1 2x as a power series What is its radius of convergence
- Q The total accumulated costs C t and revenues R t in thousands of dollars respectively for a photocopying machine satisfy 1 C t 58 and R t 7t8 e t...
- Q f x x ax 15 x2 9 lim f x X 3 Find the limit
- Q A person wants to purchase both parcels of land shown in the figure to the right and make a check on their combined area There is no equation for the...
- Q The marginal average cost of producing x digital sports watches is given by the function c x where C x is the average cost in dollars c x 1 400...
- Q Calculate the definite integral by referring to the figure with the indicated areas Area C 5 856 Area D 1 71 Area A 1 549 Area B 2 734 to
- Q Calculate the indicated Riemann sum S4 for the function f x 34 4x Partition 0 12 into four subintervals of equal length and for each subinterval X 1X let c...
- Q Find the particular solution of the differential equation dy 5 dx 1 x 1 x y 0 9
- Q 39 40 Find the vectors T N and B at the given point 39 r t 1 1 1 1 3 1
- Q 41 42 Find equations of the normal plane and osculating plane of the curve at the given point BO smo ob impu 41 x 2 sin 3t y t z...
- Q 13 16 a Find the unit tangent and unit normal vectors T t and N t b Use Formula 9 to find the curvature 13 r t t 3 cos...
- Q 1 4 Find the length of the curve 1 r t t 3 cos t 3 sin t 5 t 5 2 r t cos ti sin tj In cos...
- Q Refer to the graph to the right and follow the directions in parts a through f a Is a 1 or is 0 a 1 b Give the domain and...
- Q sec x y 6 sec ase AWY a The period is Type an exact answer in terms of b Select the correct choice below and fill in the answer box...
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