Calculus question and answers for January 06, 2024
- Q Example 6 If z f x y has continuous second order partial derivatives and x r cos a y r sin 0 show that 8 x 8 8 dy r...
- Q 1 point Use Stokes Theorem to find the circulation of F 4y 5zj 6xk around the triangle obtained by tracing out the 4 0 0 to 4 0 6 to...
- Q se Stoke s Theorem to calculate the circulation of the field F around the curve C in the indicated direction F 3y y z where C is the counterclockwise path...
- Q Solve the IVP using Laplace Transform y y 8 t 2km y 0 0 y 0
- Q The equation r t 3 cos t i 3 sin t j t k is the position of a particle in space at time t Find the particle s velocity...
- Q Using the function f x 5x 2x 3x x 8 and Descartes Rule of Signs which are possible combination positive negative and imaginary zeros Select all that apply 2 positive...
- Q Find a particular solution to the following differential equation Do NOT solve the coefficients y 4 4y 3 7y 6y 2y et 4t sint
- Q nd the mass and center of mass of the lamina that occupies the region D and has the given density function D is the triangular region enclosed by the lines...
- Q 3 Find equations of all lines having slope 3 that are tangent to the curve y x 5 Select the correct choice below and fill in the answer box es...
- Q Find the following for the vectors v 6i 5k and u i j k a v u v ul b the cosine of the angle between v and u c...
- Q Find the distance from the point 0 0 7 to the line x 3t y 2t and Z 2t The cross product used when calculating the distance is 0 0...
- Q Find the points on the given curve where the tangent line is horizontal or vertical Write answer in correct order using order pairs to get the credit r 1 cos...
- Q Graph the following function Drag the movable red point to set the asymptotes for one period of the given function Also place the blue point at the correct set of...
- Q Evaluate the integral 1 3 1 2 cos 2 cos t i 6 sin t j sec t k dt 1 2 cos t i 6 sin t j sec...
- Q Use Taylor series to evaluate the lim 1 In 1 8x cos 8x x lim X 0 O A 32 O B 68 O c 4 O D 40
- Q a Evaluate b For what values of a does converge L 1 1 I fe e dr 1 dr
- Q Find the curve s unit tangent vector Also find the length of the indicated portion of the curve TU r t 3 cos t j 3 sin t k Osts...
- Q Find equations of all lines having slope 2 that are tangent to 18 the curve y X 4
- Q cylindrical coordinate integral 0 The value is Type an exact answer using as needed r dz dr de
- Q X The equation r t 3 cos t i 3 sin t j 9t k is the position of a particle in space at time t Find the particle s...
- Q On the axes below draw the graph of the function f x x 3 Provide your answer below 5 10 5 0 5 4 10
- Q y 4 cot x 1 3 Drag the movable black point to set the left vertical asymptote and shift the function the red point to set the right vertical asymptote...
- Q Given that the polynomial f x has 9 x intercepts which of the following most accurately describes the degree of f x Select the correct answer below The degree of...
- Q Given that the polynomial f x has 5 turning points which of the following most accurately describes the degree of f Select the correct answer below The degree of f...
- Q Given that csc x 2 6 what is csc x
- Q Given that csc x 2 what is csc x
- Q Set the point Provide your answer below 10 1 3 21 3 13 10 0 TT 11 3 51 3
- Q Given that tan 0 4 and 0 is in Quadrant III find sec 0 and sin 0 Provide your answer below
- Q For the function I X CSC X set the moving point to a value of y a such that it is not a possible value of f x Provide your...
- Q 2 Drag the black dot to shift your graph in the desired direction Use the blue draggable dot to change the period Drag the orange dot to change the amplitude...
- Q If cos 0 0 and tan 0 0 in which quadrant does 0 lie Select the correct answer below O Quadrant I O Quadrant II O Quadrant III O Quadrant...
- Q Given that csc x 7 what is csc x
- Q Analyze and sketch a graph of the function Identify any relative extrema points of inflection and asymptotes Use a graphing utility to verify your results If an answer does not...
- Q The system of differential equations has a general solution where Re eta x t Re etb Re etc Im eta x t Im e b Im etc x 3 9...
- Q The matrix A det 9 9 3 1 2 a11 a12 921 a31 0 1 2 4 V a13 922 a23 932 a33 1 2 1 2 9 a 1...
- Q The matrix A det 3 A 4 2 3 2 a11 a12 921 922 3 2 3 2 4 2 a 2x a 2 4 a 32 b 0 which...
- Q Question Given that cos 0 necessary Brovide swer below and is in Quadrant III what is sin 0 Give your answer as an exact fraction with a
- Q Question Provide your answer below 0 in x The figure above shows a right triangle with dimensions in inches If 0 27 what is the length of x to the...
- Q 12 Find the particular antiderivative given that f x 15 24 8 and f 1 7 13 The marginal cost of manufacturing x units of a product is given by
- Q Given that cos 0 and 0 is in Quadrant IV what is sin 0 4 17 17 Simplify your answer including rationalizing the denominator Provide your answer below
- Q The graph of the function f x log7 x is stretched vertically by a factor of 6 reflected over the x axis reflected over th y axis and shifted down...
- Q Use trigonometric ratios to determine the length of x in the right triangle below X 71 5 cm Round your answer to the nearest tenth and do not include x...
- Q d y Find an equation for the line tangent to the curve at the point defined by the given value of t Also find the value of dx T x...
- Q Find the mass and center of mass of the solid E with the given density function p E is bounded by the parabolic cylinder z 1 y and the planes...
- Q 1 point Solve the heat problem THINK U Uxx 0 x u 0 1 0 u T 1 0 u x 0 cos x
- Q Given the triangle below find csc 0 Enter an exact answer in fraction form 12 13 5 0
- Q What trigonometric function would you use based upon the given information in the triangle shown below Select the correct answer below O O sin B sin B cos B b...
- Q Provide your answer below 6 Reflection 5 4 3 2 1 0 electing the correct reflection then move the vertical asymptote and the key point f x log4 x 3...
- Q The distance from the Sun to Earth is approximately 149 600 000 km The distance form the Sun to Mercury is approximately 57 900 000 km The elongation angle a...
- Q Which of the following answer choices correctly gives the values of sin A cos A and tan A for the triangle shown below Select the correct answer below sin A...
- Q The circle below has center o and its radius is 6 cm Given that mAOB 30 find the length of the major arc ACB Give an exact answer in terms...
- Q Match each of the given functions with the BEST descriptor It is the only function we saw that had multiple vertical asymptotes It s domain includes all real numbers it...
- Q Describe everything you can say about how the following equation has been transformed from its parent function of x f x 2 x 1 5
- Q State two different trig equations for the following graph 2 f x 3 24 X 3T T TT 0 1 2 2 M 2 3 4 5 N a
- Q Write a possible polynomial equation based on the graph below y 5 4 32 2 1 X 5 4 3 2 10 1 2 3 4 5 6 1 2...
- Q Write a polynomial in standard form that represents the area of the dhaded region x 3 X 9 X 1 X 4
- Q 8 Given sece O a in quandrant IV find tan 0 17 O b 8 17 9 OC 17 17 Od 9
- Q Consider the equation 2x 11x 7x 6 A student performed synthetic division on this polynomial and their work is shown below 6 11 7 12 6 6 2 1 1...
- Q Consider the polynomial x 4x 7x x 12 Using Decartes Rule of Signs create a table like the one below and fill in the possible combination of roots Positive 3...
- Q Given the polynomial x3 7x2 16x 12 answer each of the follwing Be sure to label your answer by labeling the parts a b c etc To get full points...
- Q Us eproperties of logatithms to expand the logarithmic expression as much as possible m n k 1085 1 b 3 7 a 1 Oa log m log n 210g k...
- Q State the different methods one can use to solve a system of equations Then explain which method you prefer and
- Q Write the form of the partial fraction decomposition of the rational expression It is not necessary to solve for the constants 4x 3 x 9x 20 O a A x...
- Q Consider the function x2 8x 7 Which of the following is correct O vertex 4 9 intercepts 7 0 1 0 0 7 O vertex 4 9 intercepts 7 0...
- Q Match the graph with the appropriate function H 2 2 2 y f x x 2x 1 Of x x 2x 1 Of x x 2x 2 Of x x...
- Q 14 Find the area of the shaded region on the right 16 0 y 4x y 48 16x 3 X
- Q If a polynomial has a degree of 6 then the number of turns could be 3 O True False
- Q Find equations of all lines having slope 3 that are tangent to the curve y 3 x 9 Select the correct choice below and fill in the answer box es...
- Q Graph of the function f x log x You can only graph integer points for example you cannot plot the point 1 There is one point that can be moved...
- Q Using Descartes Rule of Signs write the greatest possible number of negative roots for the function g x 5x 7x 2x 2 holow
- Q xpress the function as the sum of a power series by first using partial fractions Give your power series representation centered at x 0 2x6 6x 5 x DO f...
- Q 1 point Consider the system of differential equations Rewrite as Z a11 a12 921 922 Then det 911 921 x 912 922 2 and the eigenvalues are A A general...
- Q A ball is thrown eastward into the air from the origin The initial velocity is 45i 75k measured in feet per second The spin on the ball gives an acceleration...
- Q Use Descartes Rule to determine which of the following is a possible number of solutions for the function f x x 2x x 1 Select all that apply 3 positive...
- Q The matrix A 26 21 28 23 Find its eigenvectors For 5 the eigenvector is and for 2 the eigenvector is has eigenvalues 5 and 2
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