Calculus question and answers for January 25, 2024
- Q The function f x 10x ln 1 x is represented as a power series Find the following coefficients in the power series C2 C3 CA C5 Find the radius of...
- Q Suppose that f 5 1 f 5 4 g 5 3 and g 5 5 Find the following values a fg 5 b c 5 7 5
- Q Find f x and x f x x 1 ex
- Q Differentiate f x f x 5x 8x ex
- Q Current Attempt in Progress Find all critical points and then use the first derivative test to determine local maxima and minima Check your answers by graphin f x 3x 4x...
- Q For what values of a and b is the line 4x y b tangent to the parabola y ax when x 3 a 0 66 6
- Q 3 For each of the following functions find all values a in o at which the function is discontinuous if there are any At each such value compute the two...
- Q 5 3 2 6 5 4 3 2 1 1234 S 1 2 3 4 5 6 The graph above is a transformation of the function Write an equation for...
- Q Find a parabola with equation y ax bx c that has slope 14 at x 1 slope 18 at x 1 and passes through the point 2 37 y 9x...
- Q Find a cubic function y ax bx2 cx d whose graph has horizontal tangents at the points 2 4 and 2 2 y 3 3 X 10 T 9 4...
- Q Submit Answer 0 07 0 13 Points DETAILS PREVIOUS ANSWERS 7 SCALCET9 3 1 064 At what exact point on the curve y 7 2e 5x is the tangent line...
- Q Question 20 Sketch a graph of f x 5 4 3 2 1 5 4 3 2 1 1 2 3 4 5 Clear All Draw 1 1 2 2...
- Q Find the first and second derivative of the function G r r r G r G r 1 2 r H 1 4r 3 1 4 5 57 4 195...
- Q The graph above shows the function f x The graph below shows g x A 2 3 B 11 5 g x is a transformation of f x where g...
- Q Question 20 Sketch a graph of f x 5 4 3 5 4 3 2 1 Clear All Draw 2 1 1 2 3 4 5 1 12 14 x...
- Q Need Help Submit Answer Read It DETAILS SCALCET9 3 1 067 13 0 13 Points Draw a diagram to show that there are two tangent lines to the parabola of...
- Q Submit Answer 0 13 Points DETAILS SCALCET9 3 1 074 Find a parabola with equation y ax bx c that has slope 14 at x 1 slope 18 at x...
- Q Differentiate the function 3 1 3 F r F r 9 74
- Q Sketch a graph of f x 2 x 4 2 5 4 5 4 3 2 1 Clear All Draw 3 2 1 1 2 3 4 5 1 2...
- Q Find an equation of the tangent line to the curve y x x that is parallel to the line y 3 9x y x 12x 12 X Enhanced Feedback Please...
- Q 6 54 3 9 4 2 4 q The graph above is a transformation of the function x Write an equation for the function graphed above g x
- Q The graph of f x 2 is shown in black K Match each transformation c graph below B I 22 1 C 2 2 2 2 K Submit Question R...
- Q ing calculator is recommended ow is the number e defined e is the number such that lim De is the number such that lim Oe is the number such that...
- Q Find equations of the tangent line and normal line to the curve at the given point y x 7e 0 7 7x 7 tangent line y normal line y 7...
- Q Solve the initial value problem dy dx 58 xe y 1 e 1
- Q Question 13 Describe a function g x in terms of f x if the graph of g is obtained by reflecting the graph of f about the x axis and...
- Q 12 Points ifferentiate the function x g x DETAILS 9 5 8x 7 6x SCA
- Q Logistic functions such as N t 500 1 50e 0 13t are often used to model population growth Suppose a population is modeled by this function with time t measured...
- Q Find the interval of convergence for the given power series The series is convergent from x to x left end included Y N right end included Y N 12 1...
- Q g x lim x 3x X 3 3 3 3 0 1 3 5x x 1 x 3x 1 x 3 2x 9 x 3 8 The piecewise defined function...
- Q Homework After a drug is taken orally the amount of the drug in the bloodstream after t hours is f t 118 e 0 4t e t units Complete the...
- Q 1 If a b and care unit vectors then la bl2 lb cl2 lc al does not exceed A 4 B 9 C 8 D 6 2 If vectors a...
- Q Find the radius of convergence of the power series Your answer should be a nonnegative real number or INF Radius of convergence is ENG AMBIENT ABRIELE Dements Merancie www BOTH...
- Q A country that is the major supplier of a certain commodity wishes to improve its balance of trade position by lowering the price of the commodity The demand function is...
- Q An electronic store can sell q 7 000 p 43 38 cellular phones at a price p dollars per phone The current price is 106 a Is demand elastic or...
- Q blem 8 Which of the below graphs is an example of a function that satisfies the following conditions g 0 1 g 1 1 g 2 0 g 3 1...
- Q t Suppose that the annual sales S in dollars of a company may be approximated empirically by the formula S 30 000 e logarithmic derivative to determine the percentage rate...
- Q Part 1 of 2 For the demand function below find E p and determine if demand is elastic or inelastic or neither at the indicated price q 400 106 p...
- Q mework For the following demand function find E p and determine if demand is elastic or inelastic at the indicated price 800 p 9 q p 19 Part 1 of...
- Q Find the present value of 8000 payable at the end of 3 years if money may be invested at 7 with interest compounded continuously The present value of 8000 is...
- Q Investment A is currently worth 80 500 and is growing at the rate of 13 per year compounded continuously Investment B is currently worth 70 000 and is growing at...
- Q A famous painting was sold in 1945 for 21 930 In 1993 the painting was sold for 29 5 million What rate of interest compounded continuously did this investment earn...
- Q Find the present value of 8 000 to be received in 9 years if money may be invested at 5 7 with interest compounded continuously The present value is Round...
- Q Let P t be the population in millions of a certain city t years after 2015 and suppose that P t satisfies the differential equation P t 0 02P t...
- Q Problem 6 Let f x cos x Which of the following would you use to calculate 2 using the definition of derivative i e first principles A E h 0...
- Q g 0 1 g 1 1 g 2 0 g 3 1 g 4 0 B Mit A C 1 0 1 1 0 1 2 X 2 3 3...
- Q Problem 5 a If an equation of the tangent line to the curve y f x at the point where a 9 is y 10x 2 find 9 and f...
- Q Problem 4 Suppose that f is continuous on 0 6 and that the only solutions of the equation f x 3 are x 1 and x 5 If f 4...
- Q 4 Suppose that 4 2 g 4 5 f 4 6 and g 4 3 Find derivative 4 in a d a h x 3f x 8g x b h...
- Q 2 a Find the horizontal and vertical asymptotes of the graph of the function f x 5x 7 2x 3 h Find the values of a and h for a...
- Q Find an equation for the tangent line to the curve at the given point Then sketch the curve and the tangent lin together y 223 1 1 2x The equation...
- Q 2 Calculate Brady s yards per attempt YPA YPA Total Passing Yards Total Passing Attempts YPA 79 204 10 598 YPA 7 47 3 Calculate Brady s touchdown percentage TD...
- Q 17 Distance between Two Ships Two ships leave a port at the same time The first ship sails on a bearing of 40 at 18 knots nautical miles per hour...
- Q 15 Distance Flown by a Plane A plane flies 1 3 hr at 110 mph on a bearing of 38 It then turns and flies 1 5 hr at the...
- Q 1 Find AC A 118 24 22 B
- Q 3 log 5 3 2 2 11 x tan 3x 1 c C 13 log x 2 x 3x 2 C 15 log x a b x a x b...
- Q 2 Find AB A C 7 53 44 B
- Q 8 12 17 20 1 2est log e C 22 tan 7 4x C 24 log 2sin x 3cos x C 1 21 C 9 x 1 C 10 2log...
- Q 5 Find BC C 16 A 58 93 B
- Q exampie Show that the points collinear Solution Direction ratios of line joining A and B are 1 2 2 3 3 4ie 1 5 7 1 It is clear that...
- Q 26 8 3 NT 0 C 4 B 8 A 2 A 6 C 0 C 4 A 1 2 8 8 B H 2 tan B C 2 sin...
- Q 304 EXEMPLAR PROBLEMS MATHEMATICS 39 C 41 B 45 1 43 C 46 n B 47 AB 48 9 1 2 1 2 49 0 1 2 3 4 5...
- Q dx dt dy dt 2x 1 1 2 xy 3y 1 3 2xy a Find the value for each of the six parameters r1 72 K K2 01 02 b...
- Q position of a point in three dimensional space we have to give three numbers To do this we take three mutually perpendicular lincs axes in space which intersect in a...
- Q Find the volume of the solid whose base is the region in the xy plane that is bounded by the parabola y 4 x and the line y 3x while...
- Q Find the volume of the region bounded above by the paraboloid z x y and below by the triangle enclosed by the x y lines y x x 0 and...
- Q Theorem 1 If lim f x L and lim f x M then L M x p x p Proof Suppose LM then I L MI 0 Since lim f...
- Q Fig 2 Look at the graph of f in Fig 2 You will see that when x is small x is also small As x comes closer and closer to...
- Q D The graph shows the rate at which people enter an art museum a t measured in people per hour where t is measured in hours after the museum opens...
- Q 1 The graphs of two functions f and g are given below 11 Evaluate each limit if the limit does not exist say why a lim f x g x...
- Q 5 The graph of y f x is shown Identify the intervals on which f is increasing decreasing and constant 3 y 5 3 2 N 3 1 215 24...
- Q 9 After doing some market research Crunchy Cookie Inc has found that their profit on cookies after spending amount on advertising can be modeled by P x 5000 1000x 5a...
- Q 7 Information about a function f x is given in the table f 2 Decreasing 0 x 3 x 3 3 x 5 x 55 x Increasing 11 Increasing 5...
- Q 5 Sketch the graph of a function that is increasing for a 5 constant for 5 x 0 increasing for 0 x 2 and decreasing for x 2 6 5...
- Q 4 The graph of y f x is shown Order the following from least to greatest A Average rate of change of f on 0 4 B Average rate of...
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