Calculus question and answers for January 03, 2024
- Q Find f x for the following function Then find f 3 f 0 and f 5 6 f x X f x 0 Select the correct choice below and fill...
- Q Evaluate the integral 2 2 x X 1 2x 8 dx X 1 x 2x 8 Type an integer or decimal rounded to three decimal places as ner dx
- Q Find the equation s of the vertical asymptote s of the given rational function f x X 5 36 Select the correct choice below and if necessary fill in the...
- Q expression as a sum and or difference of logarithms with all variables to the first degree In 15w523 In 15w z Type an exact answer in simplified form Use integers...
- Q Find the derivative of the following function f x 4x 9 In 3x 2 f x Simplify your answer
- Q Problem 88 Revenue and profit functions A company manufactures 10 and 3 speed bicycles The weekly demand and cost functions are p 230 9x y q 130 x 4y C...
- Q The scrap value of a machine at the end of its useful life is given by Sin C 1 1 where C is the original cost nis the useful life...
- Q Use the second derivative test for local extrema to indicate any local extrema or saddle points of the following function f x y x y 3xy
- Q Use the method of Lagrange multipliers to minimize 2 f x y x 4xy y subject to the constraint x y 16 You may assume a minimum exists
- Q Upload solutions to Problem 1 here Find the following for the function a fx 1 2 b fyy x y c fxy x y f x y 3x y 5x...
- Q Which of the following is the total length of the curve of intersection of the surfaces x y 2 4 and y 22 4 a 2 3 b 4 3...
- Q Sketch the region of integration for integral the integral using spherical coordinates 0 9 x z dz dy dx Hence evaluate 10 marks
- Q 15 points Solve for the variable in each equation a 4 sin 0 10 b 2logg x log3 5 1
- Q Let F xyz xy x yz eff cut Use Stokes Theorem to evaluate curlFdS where S consists of the top and the four sides but not the bottom of the...
- Q Given that 6f 12g 18h 72 4f 3g 42h 248 and 2f g 22h 132 solve the system of equations using Gaussian elimination Select the correct answer below 2 4...
- Q Given matrix A shown below find 6A Give your answer as a matrix using the matrix tool Provide your answer below 4 A 4 3 1 4 5
- Q A world famous prix fixe menu includes the following choices Beverage choose one wine soft drink coffee tea milk juice or cappuccino First course no choice baguette bruschetta whole roasted...
- Q Given matrix A shown below find 9A Give your answer as a matrix using the matrix tool A 0 5 3 3 1
- Q Tarot cards are used for telling fortunes and in a reading the arrangement of the cards is as important as the cards themselves How ma different readings are possible if...
- Q 2 8 6 4 2 0 2020 StrongMind Created using GeoGebra 6 g x Of x and g x have the same rate of change O f x does not...
- Q Some automobiles have four button locks To gain entry push four buttons in a particular order repeats allowed to unlock the door How ma different four digit codes are possible...
- Q QUESTION 14 3 points The goal in this question is to estimate the value In 1 05 with the help of the Taylor polynomial of order 3 a Find the...
- Q Let g x f t dt The graph of y f t is given below 5 4 3 2 1 1 2 3 4 5 3 4 5 6 7...
- Q QUESTION 15 7 points Find the integrals Must show all work including all steps for and Sub a 2r 3 dr b Szln 2 c r dr 1 r dr...
- Q 11 ft 23 ft Find the angle of elevation of the sun from the ground to the nearest degree degrees
- Q Solve the equations on the interval 0 2 1 3 tan 0 2
- Q ON 4 2 points A population of punishers is described by the DTDS 1 1 density after t weeks FIND the general Solution of the DTDS if initially to
- Q Given A ABC find the value of the variable If necessary round your answer to the nearest hundredth Figure is not to scale A 25 76 O Sine O Cosine...
- Q Classify the problem as a permutation a combination or neither How many three digit numbers can be formed using the numerals 3 4 5 6 7 without repetition permutation O...
- Q QUESTION 8 2 points Use 2 iterations of Newton s Method with the initial condition To 1 4 to estimate the solution of f x e r 0 with a...
- Q e graph shows the function f x 19 18 14 12 10 0 1 CO 6 4 20 2 5 15 59 2020 StrongMind Created using GeoGebra 4 9 3...
- Q Calculate the average rate of change of f x over the interval 1 x 3 I f x 4 2 877 3 2 270 2 0 423 1 2 728...
- Q Use the table to calculate the average rate of change of f x over the interval 0 4 x f x 1 2 4 3 2 1 0 1 2...
- Q cos x 2 1 QUESTION 3 2 points Find the derivative of f x In x 2 4
- Q 5 2 points Consider the function f r r 12r 1 defined on the closed be and its Global absolute maximum and find its Global absolute minimum
- Q Evaluate the expression 6 n 91
- Q QUESTION 7 2 points Consider the function y f x given Implicitly by the equation ry 2y 1 e 4 around the point 2 0 FIND The Derivative of y...
- Q 3pts Consider f 1 1 x 3 mly The Definition of the DERIVATIVE to find f 1 e equation of the tangent line to the graph of f at the
- Q QUESTION 6 2 points Let F be an antiderivataive of f x 2 I F 4 e such that F 0 3 Then find
- Q QUESTION 10 3pts Consider defined by f x Find the value of k such that f is continuous 1 9 if r 3 3 ek 1 if I 3
- Q In how many ways can seven books be arranged on a bookshelf ways OF
- Q Use the to Give Homogeneous Substitution method solve the following differential Equation a general xy y x F box solution
- Q 5 Use the Method of Coefficient to the Undetermined general to the following differential equation Give the comple following non homogeneous genenal y y 6 cos x Solution Solution
- Q Of differential equations following homogeneous Using the characterist equation Give the general Show of your Wonk all y qy 0 3y 10y 0 44 54 the solution
- Q QUESTION 2 2 points Information on functions f x g r f r and g r for some r is given in the table Let h x gof x I...
- Q 1 2 Suppose 3 3 is the terminal point on the unit circle determined by t Find the termina point determined by each of the following a t b t...
- Q 3 Use the integration factor Method to fir the general solution of y xy 4x
- Q 2 Use the Following Give the YE separation Separable Particular x ex technique to solve th equation differential solution y 0 3
- Q fine Set up and solve a Definite integral to the particular solution of the following equation must Use Propert differential integral with all the a Definite notation AISO Bounded integral...
- Q Given matrices A and B shown below find 6 A 9 B B 2 5 1 0 3 3 3 2 4 0 1 1 0 Give your answer as...
- Q Given the function f x x 3 x 3 a Find f x 1 1 b Graph f and f in the same rectangular coordinate system c Use interval notation...
- Q Given matrix A shown below find 1A Give your answer as a matrix using the matrix tool 2 3
- Q 7 Find the term that does not contain x in the expansion of 10 4x 2x
- Q ADVANCED ANALYSIS Assume that the consumption schedule for a private open economy is such that consumption C 50 0 75Y Assume further that planned investment g government spending G and...
- Q Add the following matrices 1 3 0 1 5 Give your answer as a matrix using the matrix tool 2 1 5 4 3 5 3 3 1
- Q Find the radius of convergence and interval of convergence of the series x 6 n 1 R I n 0
- Q Find the price p per unit that produces the maximum profit P if C x 25 16x and p 24 2x OA 16 OB 20 O C 22 O D...
- Q 6 6 Suppose a is expanded in descending powers of a a Write down the r 1 th term of the expansion where 0 r 6 b Write down the...
- Q Determine where the following converge or diverge of all of the sequences and series below Be sure to show the required work that justifies your answers S a n 1...
- Q Find the limit of the vector valued function lim 3ti 23 if it exists t2 t 2 Which statement best categorizes the answer to the limit problem above O The...
- Q Evaluate the integral S tan 10x sec 10x dx tan 10x sec 10x dx
- Q Use the given vector valued function to find each of the following r t t i 2t 3 j 3t 5 k a t b 7 t c t d...
- Q Show every step of the process for finding the integral below Be sure to but a box around the answer in your hand written work Then indicate the technique s...
- Q Given that u 3 4 2 and v 1 2 3 find a The vector component of u along w b The vector component of u orthogonal to v W...
- Q Given the series below find the following 8 n 2 n 0 a Expand the series showing the first four terms a a a and a in your expansion b...
- Q a Create a table of values for the variables found in the given parametric equations below b Write the corresponding rectangular equation by eliminating the parameter c Sketch the curve...
- Q Show every step of the process of evaluating the integral below Be sure to but a box around the answer in your hand written work Then indicate the technique s...
- Q Dertermine whether each of the following Converge or Diverge a 3n 2n n 1 8 n b n 0 Which of the following multiple choice answers best applies to the...
- Q Consider the function f x sin x Write the fifth Maclaurin polynomial P5 x for sin x b Write the Maclaurin series representation in sigma notation for sim Use P5...
- Q Given that u 3 4 2 and 1 2 3 find a u b uxi Enter the answer to part a in the space provided c the unit vector in...
- Q For the given conic section determine each of the following a the type of conic section b the center if applicable c the focus or foci d the vertex or...
- Q Find the interval of convergence of the power series Express your answer in interval notation n 1 x 5 n n Do not skip any spaces when entering the interval...
- Q 3 Consider the following system of linear equations 3Z X 2x 2y 5z X 2Z 1 2 0 a Write down the coefficient matrix A i e the matrix of...
- Q 2 Use the Integral Test to determine whether the following series converge after showing that the conditions of the Integral Test are satisfied a b en 1 en 1 k...
- Q Out of pocket spending in a country for health care increased between 2003 and 2008 The function f x 2573e0 0359x models average annual expenditures per household in dollars In...
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