Calculus question and answers for March 14, 2024
- Q Theorem 1 If f is a continuous function on the closed interval a b and differ entiable on the open interval a b then there exists a point c in...
- Q Determine lim f x for the function f x shown in the figure below 20 4 1 10 18 1 0 The limit as 4 is help limits 18
- Q Given lim 5 f x 7 and lim 5 g x 3 evaluate If the limit does not exist enter DNE Limit lim 2 5 f x g x 7...
- Q Use the given graph of the function g to find the following limits 1 lim g z help limits 2 lim g z 3 lim g x 4 lim g...
- Q If an arrow is shot upward on the moon with a velocity of 58 m s its height in meters after t seconds is given by y 58t 83t a...
- Q A cardiac monitor is used to measure the heart rate of a patient after surgery It compiles the number of heartbeats after t minutes When the data in the table...
- Q Find in terms of the constant a Limit lim h
- Q The displacement in feet of a certain particle moving in a straight line is given by 8 t3 6 where t is measured in seconds a Find the average velocity...
- Q Find following limits if they exist Enter DNE if the limit does not exist 1 lim f x h x Pa 2 lim f x h x HIG 3 lim...
- Q Evaluate the limit If the limit does not exist enter DNE Limit lim 24 7 x 16x 63 x 7
- Q Evaluate the limit Enter I for I for oo and DNE if the limit does not exist Limit lim x 4 7x 2
- Q The point P 1 1 2 lies on the curve y x 1 x a If Q is the point x x 1 x find the slope of the secant...
- Q Evaluate the limit If the limit does not exist enter DNE Limit 0 49 lim 2 7 x 7
- Q Fill in the table and guess the value of the limit lim f y where f y y 5y 6 y 3y 18 y 6 Y 6 002 6 001...
- Q Use the given graph of the function f to find the following limits If a limit does not exist type DNE 1 lim f 2 2 12 2 lim f...
- Q Use the given graphs of the function f left in blue and g right in red to find the following limits 1 lim f x g x help limits 2...
- Q Evaluate the limit If the limit does not exist enter DNE Limit lim 2 2 42 82 4
- Q Given limx 3 g x 5 evaluate If the limit does not exist enter DNE Limit lim g x x 3
- Q Let F be the function below If you are having a hard time seeing the picture clearly click on the picture It will expand to a larger picture on its...
- Q Evaluate the integral 0x 81 sec 0 Ox 9 tan 0 x 9 sin 0 Ox 81 tan 0 Ox 9 sec 0 A Which trig substitution is correct for...
- Q 4xe dx 5x C
- Q Match the following expressions that have the same trig values cot 180 cos 3 sin 210 tan 31 4 sin 150 cos 211 3 sin 270 tan 31 2
- Q f x In x 2 X
- Q lim n a W i 0 1 Is n 3 4 n
- Q x uI X
- Q im 0 sin x So In 1 t at dt sin x 2
- Q 2 In x 2 4 2 X X 1 dx
- Q im 8 CO h i 0 S 3 tc 4 n
- Q 3 2 f x 4x 3x
- Q f x In x 2 X
- Q r 2 X x 3 3 2 X x dx 4x 4
- Q sin In x dx
- Q 1 Solve the Initial Value Problem by using the Laplace Transform Show all your calculations y t 2y t 8y t 0 y 0 m y 0 n where m...
- Q The value of sin tan x cot sin sin 1 x COS cot 1 X X is equal to
- Q Which equation describes the circle with center 5 1 and radius 7 a x 5 2 y 1 7 b x 5 2 y c x 5 2 y 1...
- Q 98 Answer the questions below about the function whose derivative is f x 2 2 x 0 X a What are the critical points of f b On what open...
- Q Sketch the graph of a differentiable function y f x through the point 3 3 if f 3 0 and satisfies the conditions given below a f x 0 for...
- Q Answer the following questions about the function whose derivative is f x x 1 x 2 x 8 a What are the critical points of f b On what open...
- Q Unit 5 Identify the inflection points and local maxima and minima of the function graphed to the right Identify the open intervals on which the function is differentiable and is...
- Q 9 A heater of temperature 60 C is put at the middle of a straight corridor in a house It is given that the room temperature in the house without...
- Q Unit 5 Question 2 of 8 This quiz 28 point s possible This question 2 point s poss Does the function satisfy the hypotheses of the mean value theorem on...
- Q sin x 3 cos 2 S dx e 4 f In x x dx
- Q K Find the value or values of c that satisfy the equation f c in the conclusion of the mean value theorem for the given function and interval f b...
- Q x 5 S 4 2 2 dx 6 f 3 sin 2x cos 2x dx
- Q 1 fxe dx
- Q 2 So 2x 1 x dx
- Q TT 2 2x cos x dx 7
- Q 6 sin x x dx
- Q P I zx S G
- Q 7 fi 2x e da
- Q xp x so x us 7 2
- Q 3 e ln x da
- Q 8 f 8x dx
- Q 6 f cos x 4x5 ln x da
- Q 4 f 10 5 dx 22
- Q e 1 5 f dx ex
- Q 1 f x sin x e dx
- Q 2 f 2x cos 3x ln x dx
- Q c 92 S S s sino sin 0 5 cos do
- Q u b c f 2X Fs dx
- Q The function f is given by f x 5 0 7 Which of the following describes f B The function f models exponential decay and lim f x 0 The...
- Q u b S sto 5 x 2X fxsts T c S 5 sine XP XP 5 cus de
- Q Product Rule f x g x f x g x g x f x dx Quotient Rule f x dx g x No 1 Find a f x b cus...
- Q a trung integral berikut 4 b 2 sx s x 2 te 3 dx dx 5 sme scuso do
- Q The functions f and g are given by f x and g x What is the domain of the function h given by h x f g x A B...
- Q The function f is given by x x 1 and the function g is given by g x 2 3 Which of the following is an expression for f g...
- Q 4 The function k is given by k x 92 Which of the following expressions also defines k x B O 2 31 3 2x 3 32 3 2
- Q 8 Using vectors explain how to determine the volume of the following parallelepiped Determine its volume B 6 3 5 A 4 0 0 O C 2 3 5 y...
- Q 1 Find a f x b cus x F x the derivative 5 Sins cus 5 y 5 In Los 5x 5 sesx 5x 1
- Q 5 A father is pulling his son on a sled at an angle of 20 with the horizontal with a force of 25 lb He pulls the sled in a...
- Q The function fis defined by f x 4 for 2 x 0 Which of the following expressions defines f x B 4 for 2 x 0 4 2 for 2...
- Q 11 The scalar projection of a onto b is 8 If the length of a is 11 then what is the angle to the nearest degree between a and b
- Q Two functions f and g are composed such that f g x 4 x 3 2 Which of the following could be the expressions for f x and g x...
- Q The function mis given by m x 36 2 2 Which of the following expressions could also define m x Jhry B 62 6 62 18 18 362
- Q A water tank is leaking water from a crack in its base The amount of water in hundreds of gallons remaining in the tank t hours after the crack formed...
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