Calculus question and answers for December 13, 2023
- Q If 27 cm of cardboard is available to make a box with an open top and a square base what is the largest possible volume of the box A C...
- Q The function s t 3t 8 gives the distance from a starting point at time t of a particle moving along a line Find the velocity and acceleration functions Then...
- Q x y x y TAILS Find the points of inflection of the graph of the function Round your answers to three decimal places If an answer does not exist enter...
- Q 2 1 1 1 2 O f 2 3 A x intercept of 2 0 domain of 0 75 Match each transformation of function f with a feature of the...
- Q The graph of g is given below w Notice this is the graph of the derivative of g not the graph of g itself Answer the following questions about the...
- Q Find all solutions of the equation in the interval 0 2 2x 1 x 2 0 3 2 sin Write your answer in radians in terms of If there is...
- Q The graph shows the temperature T in degrees Fahrenheit of molten glass t seconds after it is removed from 76 0 1500 a Find lim T 0 3 F What...
- Q Find lim h x if it exists X18 f x 4x 4x a b lim h x X48 2x 1 h x c h x lim h x X48 h...
- Q Density Problems Part II Calculate the density of the following different sized blocks Do not forget to include units Recall Volume Length x Width x Height Blocks are drawn to...
- Q 5 Which of the following is the largest domain of the function f x y In 2x y
- Q 4 Find inverse of the matrix 133 4 A 1 1 3 3 4
- Q lim x y 1 1 A 1 x xy 2x xy y B 0 c C D 3 E
- Q Solve the following linear programming problem using the Simplex Method If there is no optimal solution explain whether the feasible region is empty or the objective function is unbounded Maximize...
- Q Consider the function 1 x 2 x 1 x 3 x 5 defined f over the closed interval 2 4 A Determine all zeroes of f x B Determine all...
- Q 58 Sketch a graph of a function that satisfies all the conditions that follow lim f x 3 lim f x 1 lim f x 1 lim f x lim...
- Q Determine whether f x is continuous at x 3 or not Why or why not cos x 5 f x 2 2 2 3 x 3 3
- Q 61 Determine whether f x is continuous at x 2 or not Why or why not x 2x 1 2 5 f x x 2
- Q Write a in the form a T aNN without finding T and N r t g cos t i g sin t j htk
- Q 8 Give the precise definition of saying a function f r is continuous at a number x a Explain how a function may fail to be continuous at x a...
- Q Find the perimeter of the triangle whose vertices are 1 2 1 6 and 4 1 Write the exact answer Do not round
- Q f r t f t dt where f is the function whose graph is shown Let g x g 12 g 15 g 18 11 y 9 6 a Evaluate...
- Q Use L Hospital s rule to determine the following limit Use exact values e r 1 lim 2 0 0 sin 4x
- Q Evaluate the definite integral Lt 5 1 t 5 t dt T 2 la
- Q 9 Find the limit if it exists lim f x x 1 9 b 0 c 4 d 5 e 12 where a Limit does not exist f x x...
- Q lim 8 Find Ax 0 f x Ax f x Ax a 0 b 3 c 5 d 1 e Limit does not exist where f x 3x 5
- Q Determine whether the following function is continuous at x 0 Explain mathematically f x 1 if x 0 0 if x 0 f 0
- Q 1 Let lim f x x 1 f x Determine the following limit a 4 b 3 c 2 d 0 3 x x 1 0 x 1 e does...
- Q Find the limit lim t 0 e 6ti 2 sin t j sin 7t k
- Q Determine the vertex of the parabola whose graph 654321 Provide your answer below 6 5 4 f 7 6 5 4 3 2 11 1 2 3 4 5 6...
- Q Use a table of values to estimate the value of the limit correct to three decimal places If you have a graphing device use it to confirm your result graphically...
- Q The difficulty in finding the velocity after 3 seconds is that we are dealing with a single instant of time t 3 so no time interval is involved However we...
- Q Determine the infinite limit 8 x 7 6 lim X 6X
- Q The function f x Using a calculator and remembering that if x ER sin x means the sine of the angle whose radian measure is x we construct a table...
- Q A graphing calculator is recommended X x 0 1 3x 1 a Estimate the value of lim by graphing the function f x X 1 3x 1 Round your answer...
- Q We do so by evaluating the function f h 2 h 4 16 for various values of h close to the left side and the right side of h 0...
- Q Use the graph of the function f to state the value of each limit if it exists If an answer does not exist enter DNE f x x 9 x...
- Q Is there a number a such that the following limit exists If an answer does not exist enter DNE 2x ax a 6 x x 2 lim X 2 Find...
- Q Determine the infinite limit O 8 O 88 lim In sin x x 0
- Q Evaluate the expression without using a calculator 34 If you have had difficulty with this problem you may wish to consult the Review of Algebra on the website Stewar
- Q re 1 Use the data table below and the attached graph paper to plot the mass and volume of the 5 samples of the minerals galena below Note the resulting...
- Q 1 Find the following 11 6 a sin b tan 300 c cos570
- Q Find the equation of the line through the points 1 7 and 2 1 Enter your answer in slope intercept form Provide your answer below
- Q Determine whether the series converges absolutely or conditionally or diverges 8 1 n n 1 O converges conditionally O converges absolutely O diverges
- Q a Graph the given function b Find all values of x where the function is discontinuous if x 3 g x x 1 if 3 x 1 if x 1...
- Q Is the function continuous at the given values of x 1 x x 9 h x x 0 x 2 x 9 Is the function continuous at x 0 O...
- Q Suppose lim f x 6 and lim g x 2 Use the limit properties to find the given limit X 5 X 5 lim X 5 f x g x...
- Q Use a calculator to estimate the limit 1 lim 2 x 0x 3x OA 00 OB 0 O C Doos pot
- Q Determine the values of a and b which would result in the function f x being differentiable at x 5 f x 3ax 2 2bx 6x 4 for for x...
- Q Given that Cos 0 3 QII for find the Stry Funchan
- Q a Using a coefficient of 2 for x the equation for the tangent plane is b Find the equations for the normal line Let x 2 4t 0 y 0...
- Q The container of a breakfast cereal usually lists the number of calories and the amounts of protein carbohydrate and fat contained in one serving of the cereal The amounts for...
- Q A graphing calculator is recommended For the limit lim x35x 9 21 illustrate this definition by finding the largest possible values of that correspond to 0 2 and 0 1...
- Q Question Each answer choice below represents a relation by a set of ordered pairs In which of the answer choices is the relation function Select all correct answers Select all...
- Q Use the graph 19 3 m 76 17 f x x C 9 LE 1 T L U LE 11 1 LE LE E E LE 10 L 3 1...
- Q 5 6 Let z x iy and f z x y 0 2xy i x y x y Find lim f z if it exists or show that the limit...
- Q Evaluate the following limit lim x 12 1 99 2 1 2 I 0 A
- Q Evaluate the following limit lim 25 X 5 2 5 10 Does not exist undefined 0
- Q Evaluate the following limit x 25 lim 2 5 5 0 0 AT Does not exist undefined
- Q 1 To carry a suitcase on an airplane the length width height of the box must be less than or equal to 62 inches Assuming the base of the suitcase...
- Q Is the following statement x 2xy Let f x y x 4y 0 true or false if x y 2 1 if x y 2 1 Then f x y...
- Q What is the remainder when 3x 3x 8x 37x 77 is divided by x 3 Only enter a number
- Q How many bit strings of length 7 contain at least three 1s O 100 35 99
- Q Sketch the graph of a function that satisfies all these conditions Sketch your graph on paper and upload a PDF or image of your solution lim f x 0 lim...
- Q If it exists find lim f x x 3 f x g x provided that lim f x 1 lim f x 3 f 2 6 lim g x 7...
- Q 13 Determin whether y is function of x y 3x 1 a no b ye S
- Q 5 points Suppose f x x x 2 Use the definition of the derivative to find f 1 What does f 1 represent here Sketch the graph of this function...
- Q 11 Let a 15 b 14 c 19 d 11 f x 14x 10 undefined Then simplify the expression f x 10 x 10
- Q 2 Use the graphs of f x and g x to construct the graph of h x f g x on the grid provided 4 TA K g x 3...
- Q Determine whether the lines L and L are parallel skew or intersecting L X 49t y 9 6t z 5 3t L x 9 6s y 4s z 5 2s...
- Q 7 lim 3 X 0 3 2 10 2 X 00 X 3 limi x 1 2x 8 lim 12x 8 3 X 0 8 x 2x 7
- Q 13 10pts Find the intercepts and asymptotes and then sketch a graph of rational function f x 3x 6 x 4 x 2
- Q Calculate the number of possibilities Checking out four library books from a list of 8 books for a research project
- Q 2 Without using a calculator if sin 3 with in QIII find the exact value of sin 2
- Q Without using a calculator find cos 20 if csc 0 4 with 0 in QIII
- Q 26 Graph the equation y 2 cos 1 X 4
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