Calculus question and answers for February 04, 2024
- Q The number of hours of daylight y for day x x 1 to 365 in Anchorage Alaska can be 1 4 12 4 What is the minimum number of hours...
- Q Oa 484 25 feet Ob 456 21 feet Oc 426 32 feet Od 375 43 feet 113 the marks the distance to the point where the angebween these distances is...
- Q The voltage V produced by an ac generator at time t in seconds V t 220 sin 120n t 360 360 V t Find the period of O a 1...
- Q If t has the terminal point P y on the unit circle in the second quadrar find the value of tan t Oa 1 1 20 3 O b 3...
- Q If the point P 20 of CSc t O a 20 21 Ob 21 20 c 29 21 la 21 29 29 d 29 20 is the terminal point of...
- Q Convert the angle measure from degrees to radians Round your answer to three decimal places 177 3 Trad
- Q For the cost function C x O O Cave x Cave x Cave I 2000 X 2000 x 10 10 3x 6 2 3 2000 10x 3x find Cave x
- Q Given a revenue function calculate the average revenue when a 1 answer R x 1 000 x 3 Give your answer to the nearest dollar Do not include the dollar...
- Q K The function f is defined as follows f x 3 X if x 0 if x20 a Find the domain of the function b Locate any intercepts A c...
- Q ilon t is defined as follows 2x 5 if x 1 4x 1 if x 1 a Find the domain of the function b Locate any intercepts c Graph the...
- Q f x 3 X if x 0 x if x20 a Find the domain of the function b Locate any intercepts c Graph the function d Based on the araph...
- Q Given an average cost function Cave what is the correct form for the cost function C x Select the correct answer below O C x 3x x 0 5e0 5x...
- Q Given a cost function C x as C x 120 2x calculate the marginal average cost when x 5 use that to estimate the total cost when x6 and calculate...
- Q Add a File Record Audio Record Video 11
- Q f x 4 VA Hole x intercept s Domain LEB HAZ y intercept Range REB
- Q Given a revenue function R x 1 000 x x calculate the average revenue when x 3 Give your answer to the neare dollar Do not include the dollar symbol...
- Q Question Given a cost function C x as C x 20 x Provide your answer below 1 calculate the marginal average cost when x 2 and use this to approximate...
- Q 4 A small oil refinery estimates that its daily profit P in dollars from refining barrels of oil is P 8x 0 02x2 How many barrels should be refined for...
- Q For that cost function C x 40 x C 2 use the marginal average cost when 2 to estimate the average cost when x 3 O Cave 3 19 5...
- Q Question 5 10 points 5 A rectangular hole is to be cut in a wall for a vent If the perimeter of the hole is 48 cm and the length...
- Q wide is being filled at the rate of 0 80 m min At one end it is 1 0 m deep and at the other end it is 2 5...
- Q Question 7 15 points 7 Factories A and B are 8 0 km apart with factory B emitting eight times the pollutants into the air as factory A If the...
- Q 2 Find the coordinates of the local maximum and minimum points in the following function y 3x 15x Paragraph V B I U A E COB v www
- Q 3 Sketch the graphs of the given functions by determining the appropriate information and points from the first and second derivatives a y 12x 2x b y 2x 6x 5...
- Q Question 8 10 points 8 A race track 400 m long is to be built around an area that is a rectangle with a semicircle at each end Find the...
- Q write O following a 4 1 r down the sequences rezt first three 4 terms of each of the a 3 8 b 1 1 b un S 2 ne...
- Q The leading term of the polynomial function p x is ax where a is a real number and n is a positive integer The factors of p x include x...
- Q 10 The rate in mg carbon m h at which photosynthesis takes place for a species of phytoplankton is modeled by the function P 100I 1 I 4 where I...
- Q 18 A box with a square base and open top must have a volume of 32 000 cm Find the dimensions of the box that minimize the amount of material...
- Q 4 The sum of two positive numbers is 16 What is the smallest possible value of the sum of their squares
- Q l 5x 2y 13 and k x 2y 9
- Q 3 City urbanization City planners model the size of their city using 1 the function A 1 2r 20 for 0 t 50 where A 50 is measured in square...
- Q 41 Height estimate The distance an object falls when released from rest under the influence of Earth s gravity and with no air resis tance is given by d t...
- Q Let f x x 3x and g x 3 x f g x f g x fg x 4 x The domain of f g x is The domain of...
- Q y f x Use the graphs of y f z and y g x above to the find the function value a gof 2 help numbers b gog 4 help...
- Q Let f x 1 x 2 fog x gof x and g x 2 1 X help formulas help formulas
- Q 8 1 2 3 4 5 6 7 8 9 3 f x 4 2 247622 g x 3 92 9 5 3 27 6 Use the table to evaluate...
- Q Let f x 5x and g x x 1 f g x f g x fg x 4 The domain of f g x is The domain of f g...
- Q Let f x 3x 3 and g x 9x 2 fog x gof x fog 4 BI help formulas help formulas help numbers
- Q Let h x fog x 4 f x x 3 Find f x given g x x 3 help formulas
- Q Let h x fog x x 1 4 Find f x given g x x 1 f x help formulas
- Q Given that f x x and g x 5x 2 calculate a fog x b go f x c fo f x d go g x P FI E A
- Q Matching functions with derivatives Match graphs a d of functions with graphs A C of their derivatives YA Functions 2 Derivatives 2 1 2 2 YA b C B A...
- Q Let f x x 2 and g x x 3 fog x I gof x help formulas help formulas
- Q Which of the following is an equivalent expression to fog x O g f x O f x g x Of x g x Of g x
- Q A function f x has a local maximum if the curve changes from increasing to decreasing O True False
- Q On a hot summer afternoon a city s electricity consumption is 3t2 18t 10 units per hour where it is the number of hours after noon 0 ts 6 Find...
- Q CURRENT OBJECTIVE Represent a real world application as a linear function Question A farmer notices that there is a linear relationship between the number of bean stalks n she plants...
- Q A graphing calculator is recommended For the function do the following f x 32 3x from x 1 to x 2 a Integrate by hand to find the area under...
- Q 4 is continuous at x g Proof We are investigating continuity of f g at x c Clearly it is defined at x c We have 114 lim f g...
- Q continuous at every point in its domain and hence f is a continuous function Example 14 Show that every polynomial function is continuous Solution Recall that a function p is...
- Q From the Table 5 2 we deduce that the value of f x may be made smaller than any given number by choosing a negative real number very close to...
- Q Example 12 Discuss the continuity of the function defined by x 2 if x 0 x 2 if x 0 Solution Observe that the function is defined at all real...
- Q 4 Which Series converge or diverge give reasons for your answer If it converges find the sum 3 a 1 1 b 1 n 2 8 n 1 n 1
- Q Find a formula for the nth term of the sequence in terms of n 1 2 22 23 24 10 15 20 25 30 an for n 1
- Q 3 Tell if the sequence converges or diverges If it converges find it s limit n 1 a a b an n 2n 1 1 3 n 1 1 n...
- Q 3 Use the nth Term Test for divergence to show that the series is divergent or state that the test is inconclusive a 1 b ln n 1 n 8...
- Q 2 Write out the first 5 terms of the sequence with its first term along with the recursion formula for the remaining terms a 2 an 1 na n 1
- Q Does the sequence an converge or diverge Find the limit if the sequence is convergent an In n 6 n Select the correct choice below and if necessary fill in...
- Q Use the formula for the nth term a of a sequence a Find the values of a a2 a3 a4 1 a
- Q Use a calculator in radian mode to find an approximate value of the expression correct to five decimal places if it is defined If an answer is undefined enter UNDEFINED...
- Q Does the sequence a converge or diverge Find the limit if the sequence is convergent an 1 2 Select the correct choice below and if necessary fill in the answer...
- Q Use a efinite integral to find the area under the curve between the given x values f x 3x 6x 3 from x 1 to x 2 square units
- Q Use a definite integral to find the area under the curve f x 6 x from x 0 to x 6 square units Make a sketch of the curve showing...
- Q 2 3 2 Sin 5 7 Fo 3
- Q n 0 To cos 0 1
- Q A cost function is given by C x 5 2x 100 6 What is the correct form for the marginal cost Hint You may want to make use of the...
- Q Cooper Section 3 2 52 On the planet Golgafrincham there are two systems for measuring temperature Using the Celia scale water freezes at 0 C and boils at 50 C...
- Q Graph several level curves of the following function y Draw the level curves for z 1 z 2 z 3 and z 4 Choose the correct graph below OA OB...
- Q 2 Refer to the function below to do the problems that follow Do not use a calculator That is for each problem be sure to show your work or justify...
- Q 1 Refer to the graph below to do the problems that follow 10 6 6 8 10 a State the domain of the function whose graph is shown Use interval...
- Q Consider the cost function C x 1x where x is the number of product units If the marginal cost at x 400 units is 100 what is the value of...
- Q c 4 509 793 511 est proche de d 7 108 991 868 est proche de 4 a Estime la valeur de 1 104 886 Je peux arrondir chaque nombre...
- Q 3 Given an equation coty 4x 0 5y x use implicit differentiation to find dy a
- Q 1 Given a function of g x 10 3x 5 answer the following questions 2 points each A Find the slope of the line tangent to the graph of g...
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