Calculus question and answers for January 04, 2024
- Q Evaluate the integral using only methods taught in class and simplify your answer Do not skip steps Use either the Finger Method or the Plug and Chug Method to find...
- Q 8 Let E be the solid region above the cone z x y and inside the sphere x y z 1 If the density is given by 8 x y...
- Q 4n Determine whether m is convergent or divergent Use only methods taught in this 5n 1 class 4n tor divergent Ilse only methods taught in this
- Q Given the polar equation r 4sin 30 a Sketch the polar graph by first graphing the cartesian graph Show the exact correspondence between sections of the two graphs I e...
- Q Find fis x dx by using the formula for the area of a triangle 8 8 x dx Simplify your answer
- Q Choose the correct answer below A A level curve is the intersection of the surface with a plane parallel to the xy plane B A level curve is a plot...
- Q Use the Shell Method to find the volume V of the solid obtained by rotating the region bounded by the following curves about the x axis Draw the 2D region...
- Q The rate at which revenue was generated in billions of dollars per year for one large company can be approximated by the equation below where t 5 corresponds to the...
- Q Determine whether the following series is convergent or divergent If it is convergent find its sum Do not use the Ratio Test or the Root Test Use only methods taught...
- Q A car leasing firm must decide how much to charge for maintenance on the cars it leases After careful study the firm determines that the rate of maintenance M x...
- Q 2 For the function f x y 4y 5x 2 find f 3 2 f 4 5 f 2 5 and f 0 6 1 f 3 2 61 Type...
- Q Let f x y 3x 9y 7 Find the following values of f x y for the given coordinates a f 4 1 f 4 1 28 Simplify your answer...
- Q Write the rule of a function that gives the perimeter of a rectangle of length L and width w P L W
- Q If labor x costs 260 per unit materials y cost 123 per unit and capital z costs 82 per unit write a function for total cost G XYZ www
- Q For the function f x y 4y 5x find f 3 2 f 4 5 f 2 5 and f 0 6 f 3 2 Type an exact answer using...
- Q The graph of f on the interval 4 1 is shown in the figure to the right Complete parts a through f below CO a Find the largest possible open...
- Q A bicycle manufacturer produces two kinds of frames aluminum and carbon fiber The cost function for these products is C x y 460x 1400y 16 000 where x is the...
- Q Evaluate the integral using the Trigonometric Substitution method Do this problem in the exact way it was shown in lecture x 81 x 3 dx
- Q Solve the initial value problem explicitly du dx 2 8x 3x 6 and u 3 when x 1
- Q Evaluate the integral using only methods taught in class 2 Tsi sin 0 cos 0d0
- Q dT Avalanche forecasters measure the temperature gradient which is the rate at which the temperature in a snowpack T changes with dh respect to its depth h A large temperature...
- Q Consider a die with only four sides marked one two three and four a Write out a sample space for rolling a pair of these dice Die One c P...
- Q Estimate the value of the sum of series S n 0 n methods taught in this class Do not refer to the function ex anywhere in your solution Yo 1...
- Q a Determine whether class 4n 5n 1 is convergent or divergent Use only methods taught in this
- Q Given the polar equation r 4sin 30 0 Sketch the polar graph by first graphing the cartesian graph Show the exact correspondence between sections of the two graphs I e...
- Q Find the Maclaurin series for the following function Find its radius of convergence R Use only methods taught in this class f x ln 1 4x
- Q Solve the differential equation using only methods taught in class y 3xe 0
- Q Find a power series representation for the function and find I the interval of convergence Use only methods taught in this class f x 8 9 x
- Q Show all work No Calculator is allowed 1 Write the equation in standard form identify the shape and center a and b ar graph it 7x 5y 42x 10y 23...
- Q Rewrite the integral O O O FIT 0 0 O 2 8 8 p2 0 4 1 8 x 12 x x r dzdrde r dzdrde p sin pdpd qdo...
- Q scale from 0 to 50 in intervals of 5 Six plotted points are generally falling The approximate coordinates of the points are as follows 0 5 28 1 5 3...
- Q the function f is defined as f x 5x4 9x3 2 Use the power rule to find the derivative f x and evaluate that derivative at x 1 7 retain...
- Q Find Kyo for which the dea of the region x 0 and y 0 dave the x axis and below the cure y xx 9 15 9 19 3 2...
- Q The following graph describes a matrix A as usual that is a colored vector in the domain on left is mapped to same color in the codomain on the right...
- Q Pel fie derivative 2 sec 2x dz the Oz 2lnz tan 2x C Dez 2ln z tan 2x C 0 1 2 In 2 tan 22 C 2 Inz tan...
- Q 2 Find the antiderivative 0 4 0 17 S 2 2 3 dx
- Q 2 In 2 1 dz 0 1 0 0 5 0 C 2 1 32 422 02
- Q 4z 32 1 Find S 0 0 24 6 32 1 dz C C C 9 32 11 C
- Q Find Sin z 01 1 sin z sin z 1 sin z COS 2 1 sin z points 0006 z 1 sin
- Q Find the tangent line to the clipse 1 let the point 2 3 16 4 11 3x 4 Y x A wa
- Q Find the vector in the subspace W spanned by Answer which is closest to 23 3 4 2
- Q Given that graph of f passes through the Point 4 69 that the slope of HS fargent line at x f x is 10x 4 find f 1 8 b
- Q gchool Find the general indennite intergal Land Sin 20tdt Sin 10 t A shot C 5 6 cas 10t C Sin lot C
- Q i fai if Forl dr 10 and foo dx 7 And fox dx 0 4 23 62 O 17
- Q Evaluate the integrel by interpreting in terms of overs 3 4 x dx 877 20
- Q Find the most general antiderivative of the function for 18x 4x 9 F x 6x 14x C BI x 3bx 14 C F x 6x 7 9x c F x...
- Q Evaluate the integral by making an u Substitution x 2 dxy 312 13 x 2 C B Ya x 2 2 C xXx 7 2 1 2 C 11 11...
- Q Eval Ssin x cos cos x dx Bin casx 2 C 3 2 cos sinx C 3 2 sin los x C wants
- Q Evaluate the integral 3 b by y dy 0 A 18 b 36 045
- Q 2 2x At what values of x does the graph of V X of inflection A X 2 and x 0 D X 1 and X 0 c X 2...
- Q Evaluate the indefinite intera S 4 10X 7 4x 5x 2 2 A 2 7 4x 5x C B 7 4x 5x C C 2 7 4X 5x C
- Q Evaluate the indefinite intergral 5 Cos x sin x dx 7 8 C05 x C 8 7 1 1 8 sin x C c1 18 05 x C D 1...
- Q Given matrices A and B below determine if they are inverses of each other 1 Select the correct answer below Yes A and B are inverses No A and B...
- Q Determine each of the following for the giv function f x y x y 3y n x a f 1 2 5 fx x y fxy x y
- Q Given the following function and it s first and Second clerivatives determine each of the following 4 f x x 8x 5 3 f x 4x 24x 4x x 6...
- Q Use the method of Lagrange Multiplers to find the minimum of the function 2 f x y x 3y 6 subject to the Constraint x 2y 4 Write answer as...
- Q Find the inverse of f x O g x O g x O g x g x Select the correct answer below 6x 9 6x 4 6x 9 6x 4...
- Q Use a First and Second Derivative test to identify the Critical Numbers of f x sin x cos x on 0 4 then identify them as either Max s Min...
- Q Find the derivative y for each curve functo e sx Y x 3x 2
- Q Find each derivative y for each given curve functier 2 y x In x
- Q Find each derivative y x 8e 5 y for each given curve
- Q Find the inverse of matrix A defined by 7 necessary Provide your answer below Use the matrix tool to enter your answer Use fractions whe
- Q Find the derivative y for each curve functice y 2x5 In x 4
- Q You do not need to show work for this question 5 4 3 2 0 2 a List all intervals on which f is increasing b List all r values...
- Q Sketch one loop of the curve 9y x 3 x Find the area of the surface of revolution generated by one loop of the cum 9y x 3 x about...
- Q Use implicit differentiation to find the equation the line which is tangent to the given curve at e point 1 2 xy 3x y 1 2
- Q Given the matrix A 5 2 4 5 find det A
- Q Given the matrix A 31 7 find det A
- Q Since u x 30 then converting back to an expression in x we get the following 23 0 23 2 C 9
- Q Now if u x 30 then 3 x x 30 dx u 2 1 1 du u 2 du x x 3 3 This evaluates as follows Enter your answer...
- Q If u x 30 is substituted into We must also convert x dx into an expression involving u We know that du x x 30 dx then we have 3x...
- Q Consider the following integral te ts dt t8 Find a substitution to rewrite the integrand as 8 U du dt du Evaluate the given integral Use C for the constant...
- Q Use Gaussian elimination to solve the following system of equations 5u 10v 15w 30 2u 9v 14w 103 and 3u8v 4w 13 Select the correct answer below O 3 3...
- Q We know that if u f x then du f x dx Therefore if u x 30 then du dx
- Q Consider the following integral x5 1 x6 3 dx Given the substitution u x6 3 find du ox dx du Rewrite the given integral in terms of u JC 1...
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