Basic Math question and answers for April 23, 2024
- Q Use the graph to match the limit with the correct answer 0 6 lim f x x 2 lim f x x 2 lim f x x 2 ef 2...
- Q Evaluate S 1 a 108 Ob 6 5 3x x dx c 90 Od 112
- Q Find the derivative y x 4 x 4 ln x4 5 ay x 4 x 2 In x 5 Ob y 4x 5 2x In x 5 x 4 x...
- Q oblem 2 The graph of z f x y is shown below In each part determine whether the given partial derivatives are positive negative or zero Note that the function...
- Q 1 Find the dot product U V for U 4 1 V 6 3 8
- Q 2 Let two vector functions be defined by r t t t 3t r t t 1 4 5 t a Find the intersection point of the functions Is it...
- Q of the demand function for math anxiety pills is p Consumer surplus 49 X dollars D x 16 2x determine the consumer surplus at the market price of 2 dollars
- Q A hypothetical computer keeps real numbers in the floating point format with 8 bits The first bit is used for the sign of the number the next four bits for...
- Q An inferior product with a large advertising budget sells well when it is introduced but sales fall as people discontinue use of the product Suppose that the weekly sales S...
- Q A manufacturer estimates that its product can be produced at a total cost of C x 55 000 100x x3 dollars If the manufacturer s total revenue from the sale...
- Q 1 Given f x 2x and g x x 4 determine the expression for f g x
- Q Ryan Plastics has a target debt to equity ratio of 0 25 Its cost of equity is 12 after tax cost of debt is 8 and tax rate is 40...
- Q 5 A Ferris wheel in Niagara Falls has a diameter of 30 metres and one revolution takes 3 minutes to complete a Sketch a graph showing the height of a...
- Q 3 Evaluate each of the following Answers and solutions must be expressed as exact values no decimals a 2log2 2log5 2log3 log 25 b
- Q 4 Sketch the graph of the polynomial function f x that has a zero at 2 of order 3 a zero at 4 order 2 two zeros of order 1...
- Q A laboratory designed a radio telescope that had a diameter of 280 ft and maximum depth of 46 ft a Write an equation of a parabola that models the cross...
- Q Since cos t is an even function rewrite cos t as cos t cos t
- Q Fill in the table Transformed Function Mapping Notation Amplitude Period Horizontal Axis Phase 2 COS 7 x 1 3 g x 2 cos cos
- Q the stant as of the on b Follow the seven step strategy and use the slant asymptote to graph the rational function f x x x 6 X 3 a...
- Q f For the functions f x 2 x and g x x 2x8 find f g f g fg and Determine the domain for each function g f g x...
- Q 1 Ethan throws a toy soldier with a parachute into the air from a balcony The path of the soldier can be modelled by h t 5 7t 18 where...
- Q Suppose x 3 is the only critical point for f x If the derivative of the function f x is negative on infinity 3 and positive on 3 infinity what...
- Q oes either the domain and or range of f x x need to be restricted in order to find an inverse function Explain why or why not
- Q 1 Consider the data below for a car tire with a leak K Minutes after the leak began 0 5 10 Pressure of air in the tire in kilopascals kPa...
- Q 5 Use the graph to find the following limits K a lim f x x 00 b lim f x c lim f x x 0 d lim f x...
- Q 1 Use the graph of y f x to graph the function g x f x 4 2 B 6 y f x Ay 6 8 ob 6 44 a...
- Q 4 Find the equation of the derivative for the following function Also find the instantaneous rate of change for the function when x 2 and x 3 K a f...
- Q 4 Andy bought an airplane and wanted to determine the most efficient power setting She kept records on the range of the aircraft in kilometers starting with a full tank...
- Q Trish invests 6 000 in her IRA in a bond trust that pays 10 interest compounded semiannually Sean invests 6 000 in his IRA in a certificate of deposit that...
- Q Solve homogeneous equation x 2 y xy y 2
- Q x 2m 6 3m O EL 2 Ar 2m 15 14 09H KICKIN 11M 44 15 15 15 6 Use the given graph of f x sinx to graph g...
- Q Determine whether the series is convergent or divergent use ratio test or root test 1 n 1 n n 1 2 1 1 n 1 3 2 n n n...
- Q Find the Taylor series for f x 8x 1 9x Give the interval of convergence What is the Taylor series for f x OA 8x 8 9x 8 92x 8...
- Q 3x 3y 6 3x 3y 6 of the lines in the system of equations by substitu
- Q Solve the equation 2x 2 y 2xy 20 0 Solve the differential equation y 4y 3y e 3x x 1 Solve the equation x d 2y dx 2 2 dy...
- Q What type equation is y q x y r x y f x Show that yp e 2x is a particular solution to y 2y 3y 5e 2x and find...
- Q Solve x In x y y 2 In x using integrating factors Solve Bernoulli Equation y 3 x y x 2 y 2 X 0 Solve homogeneous equation x 2...
- Q 7 Write as a single exponent 5 3 6 pts
- Q A 2 Match each graph in the table with the graph of its inverse A B or C Then write an equation for each function K Graph 2 0 2...
- Q each graph with its equation Lastly complete the table K a f x 2 x int y int Domain Range Asymptote f x 10 9 4 4 3 2 x...
- Q Assume that u satisfies the mean value property That is for all x y R 27T 1 7TR f 0 0 u x y u x rcos 0 y rsin...
- Q Differentiate the function g x g x 1 2x3 3x 1 3 4
- Q Verify the given linear approximation at a 0 Then determine the values of x for which the linear approximation accurate to within 0 1 Round your answers to three decimal...
- Q The price of tomatoes is 1 6 lb How many would you need to buy 9 9 lb
- Q If your recipe calls for 3 eggs and 7 0 cups of flour to make 24 0 bagels how many bagels will you be able to make if in your...
- Q Students in the new MBA class at a state university have the specialization profile given below Find the probability that a student is either a finance or a marketing major...
- Q Referring to the following table for the question Taxable Income Marginal Tax rate 0 10 000 10 10 000 30 000 15 over 30 000 20 What is the average...
- Q A hat contains 4 marbles one orange one green one red and one yellow Two marbles are selected at random without replacement from the hat Compleu O Click here to...
- Q 1 What is the remained when x4 4x 2x 3 is divided by x 1 Do not divide Support your answer with an explanation TI
- Q You have a balance of 9900 for your tuition on your American Express credit card Assume that you make no more charges on the card Also assume that American Express...
- Q 8 Find an equation for the following graph TI 3 2 2 3x
- Q 6 Solve the following polynomial inequality App a 2x 1 x 2x
- Q 7 Find the equation for the family of quartic polynomials that have real roots of 3 order 2 and 2 2 APP
- Q Write the original maximization linear programming given the following initial simplex tableau S1 S2 S3 Z 1000 X1 X2 X3 1 2 3 2 3 1 2 5 6 1...
- Q Thinking 6 marks a Sketch a graph for the polynomial function You must include all key features of polynomial graphs Indicate a scale f x x x 2 x 6...
- Q X 3 2 1 O 1 2 IN 3 y 110 30 The function is cubic linear quadratic quartic 30 110 61 2 61 d
- Q The function y x 2x 3 3x 4 3 is negative on the intervals Oxe and x 0 00 Oxe fo and re XE Ox and xc 1 XE XE...
- Q The function y x 4 x 7 x 3 3 is negative on the intervals 3 4 and 7 infinity negative infinity 3 and 7 infinity negative infinity 3 and...
- Q 1 point Consider f x x 6x 27x x 8x 19x 12 Give the root s of f x as a comma separated list Give the values where f x...
- Q 6 Write an equation for the function that results from the given transformations APP The function f x x4 is compressed vertically by a factor of stretched horizontally by a...
- Q Write the following complex number in rectangular form 4 4 3 3 4 COS isin 4 4 COS isin 3 0 1 Simplify your answer Type an exact answer using...
- Q The sound produced by touching each button on a touch tone phone is described by the equation below where I and h are the low and high frequencies in the...
- Q 3 Determine the polynomial function whose graph passes through the following points 2 4 3 6 5 10
- Q 4 Use finite difference to determine the degree and value of the leading coefficient for eac polynomial function App 3 2 1 0 1 2 3 124 41 8 1...
- Q 5 Lida s car has a 55 L tank How many gallons of gas can she fill the tank with if it is completely empty
- Q 7 Use the given graph to state K a x intercepts b number of turning points c least possible degree d any symmetry present even or odd function e the...
- Q 1 point List all real values of such that f x 0 If there are no such real x type DNE in the answer blank If there is more that...
- Q 1 point Find a possible formula for the function graphed below Assume the function has only one x intercept at the origin and the point marked on The the graph...
- Q 1 point Leave any unneeded answer spaces blank f x notation is f x The domain of the function f x in interval 8x 10x 67x105 2x 19x x 90...
- Q 12 22 sure your grapn snows all intercepts and exnidits proper end behavior Then enter the letter corresponding to the correct graph next to each formula for P x A...
- Q 1 point The graph below is a polynomial function in the form f x x a x b x c Find suitable unique real numbers a b and c that...
- Q en science class Richard learns that petrol has a boiling point of 203 Fahrenheit His teacher asks him to convert this emperature to degrees Celsius What is the boiling point...
- Q 1 point 24 18 12 6 5 4 3 2 1 6 6 12 18 24 1 2 3 5 6 X Determine the equation of the polynomial x of...
- Q 1 point Find all zeros and vertical asymptotes of the rational function f x If there is more than one answer enter your answers as a comma separated list If...
- Q Next Problem 1 point The polynomial of degree 3 P x has a root of multiplicity 2 at x 5 and a root of multiplicity 1 at x 5 The...
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