Calculus question and answers for August 11, 2023
- Q Graph the parabola y 2x 16x 29 Plot five points on the parabola the vertex two points to the left of the vertex and two points to the right of...
- Q 2 Let n be a fixed positive integer Use integration by parts to prove the following reduction formula x e dx 1 2 n T 1e dr Note The formula...
- Q Rewrite the following equation with the variables separated y Z 7 2x o 7dy y 7 xdx ody 7xdx y 7 o y 7 dy 7xdx 77 78 79 80...
- Q Use partial fractions to find the indefinite integral Remember to use absolute values where appropriate Use C for the constant of integration x 36x 36 x3 4x In x 2...
- Q 1 Points Evaluate the indefinite integral Use C for the constant of integration x 8 x dx
- Q Evaluate the indefinite integral Remember to use absolute values where appropriate Use C for the constant of integration t 1 4t 8t 7 log 147 81 71 x Remember to...
- Q Use partial fractions to evaluate the definite integral Use a graphing utility to verify your result S In 2 2 3x 4x 1 dx
- Q Use substitution and partial fractions to find the indefinite integral Remember to use absolute values where appropriate Use C for the constant of integration x 2 x 4ln dx D...
- Q Assume that perimeter of a two dimensional shape is given with function f x OA There is no such OB 4 In x th 3 Ocje Find the value of...
- Q Let be a finite positive integer If lnx dx 3 then what is the value of the integral S in x 1 da in terms of 3 A 2e k...
- Q Question 8 Integrate 1 x3 x8 25 dx A C
- Q Evaluate the flux integral ff Fds where F x y z x 1 y 2 3 and C is the outward upward oriented half sphere z 9 x y 0...
- Q Question 12 Evaluate the indefinite integral ST X x 5 C
- Q Question 3 J Find 4x6 2 X 6 x 3 x dx C
- Q tan x 7 tan x 12 Step 2 Rewrite the polynomial in the denominator as u 7u 12 u 4u 1 u 7u 12 where A and B are to...
- Q et 24 ex 20 dx 5 88 Points DETAILS LARCALCET7 8 5 031 MI Use substitution and partial fractions to find the indefinite integral Remember to use absolute values where...
- Q x 4x 1 5 88 Points DETAILS LARCALCET7 8 5 009 Use partial fractions to find the indefinite integral Remember to use absolute values where appropriate Use C for the...
- Q 5 x x 1 True False A can be put in the form X B 2 X 1 I where A and B are constants
- Q Graph t rabola y x 6x 4 Plot five points on the parabola the vertex two points to the left of the vertex and two points to the right of...
- Q Which function matches the indefinite integral dx o F x 12 1 2x O F x C 4x F x C o F x 1 C
- Q Rewrite F x as F u using a substitution of variables F x f 6x 5 4 3x 5x dx o F u f4 du o F u f 4...
- Q Which of the following statements match the indefinite integral e dx of e dx C In x of et dx et C of e dx et of e dx e...
- Q Consider the function y 4 sin 2x x Give exact answers using fractions and multiples of Determine the following information a Amplitude 4 b Period T c Phase shift Direction...
- Q x 3 dx x What is F x O F x x 3 C O F x x 3 C F x x 3 c C F x x 3
- Q For the slope field shown which could be a family of anti derivatives 3 2 111 O y x C O y x C o y x C oy e...
- Q An object is moving along a horizontal path shown in the graph 5 3 2 2 3 4 5 114 AD What is the displacement of the object for the...
- Q Consider the function y 4 sin 2x Give exact answers using fractions and multiples of Determine the following information a Amplitude 4 b Period c Phase shift Direction Left Number...
- Q Find the indefinite integral using the substitution x 6 sin 8 Use C for the constant of integration 1 36 x273 2 dx 1 36 X 36 x 2 C
- Q Find the indefinite integral using the substitution x 10 sec 0 Use C for the constant of integration x 100 dx 3x 200 x 100 15 C
- Q Find the indefinite integral using the substitution x 4 sin 8 Remember to use absolute values where appropriate Use C for the constant of integration 16 x dx 16 x...
- Q dx x 9 x 2 True O False 9 2 9x C
- Q Solve the initial value problem for r as a vector function of t d r Differential equation 36k 2 dt posall conce r t Di j k Foppistandsmitaj PRICES Initial...
- Q For the function f x 5x 8x 7x 2 find f x Then find f 0 and f 4 x
- Q J PREVIOUS ANSWERS Evaluate the indefinite integral Remember to use absolute values where appropriate Use C for the constant of integration dx 4x 5 In 4x 5 C SCALCET9 5...
- Q The concentration C of a chemical in the bloodstream t hours after injection into muscle tissues is given by the following 2t 64 3 C t t20 a Complete the...
- Q Evaluate the integral by making the given substitution Use C for the constant of integration xex d dx U x
- Q Evaluate the inde 36 10e da 36 10e In gral 36 10e 36 1 36 100t 20 C
- Q Evaluate the indefinite integral 36 10e da
- Q 0 0 1 Points DETAILS Find the general indefinite integral Use C for the constant of integration Remember to use absolute values where appropriate 7 dr 81 r 18 log...
- Q 1 Points Find the general indefinite integral Use C for the constant of integration Remember to use absolute values where appropriate 2 dr
- Q d Interpret the integral in part c as a difference of areas O The integral represents the area below the x axis minus the area above the x axis O...
- Q When integrating trigonometric functions if you have an even power on sine or cosine you should use a half angle formula O True False
- Q Evaluate the definite integral 2 cos t dt 50 sin t In 51 ln 50
- Q The graph of a function fis given Estimate 0 1 0 10 f x dx using five subintervals with the following a right endpoints c midpoints b left endpoints
- Q Evaluate the indefinite integral s 7 t 10 6 dt
- Q Find T N and x for the plane curve r t 2t i 2 In cos t j R
- Q v 2 dr Then find the length of the indicated portion of the curve r 1 4cos 11 4 Find the arc length parameter along the given curve from the...
- Q Evaluate the integral 120 x 49 r dx
- Q A B Find the exact surface area by rotating the curve about the y axis x t and y 2t 3 1st 1 C D E TC 4 16 3...
- Q 1 2 X e 1 e X 1 X 2 x 1 X X 1 dx
- Q x x 21 dx 1 10x x 15 10x x 21 4 x 21 7 69 7 69 Points DETAILS c C 11 arctan x dx PREVIOUS ANSWERS LARCALCET7 8...
- Q Find the indefinite integral by using substitution followed by integration by parts Use C for the constant of integration 2 29 sin 29x dx s 29x sin 29x C 2...
- Q Use the tabular method to find the integral Use C for the constant of integration 19x 9x sin x dx 3 9 x cos x 3x sin x 6x cos...
- Q Find the indefinite integral using integration by parts with the given choices of u and dv Use C for the constant of integration x 16 x In x dx u...
- Q Solve the following integro differential equation t u y u du t y 0 0 y t
- Q 1 Compute the integral f 1 1 25x dx
- Q Evaluate the indefinite integral x 4 2 x 8x S dx
- Q 10 Compute the integral xe x dx
- Q Determine the graph of the hyperbolic paraboloid 2 y x x 36z Choose the correct graph of the hyperbolic paraboloid OA O C X X z Y S h OB...
- Q Step 1 x cos 8x dx To find the indefinite integral Let u 8zx The differential of u with respect to x is du 167 Step 2 Rewrite the integration...
- Q Find the equation of the line shown below Your answer should take the form x a or y a whichever is appropriate 45 4 3 2 1 5 4 11...
- Q D 3 x 2 ay Transform D to cylindrical and spherical coordinates
- Q What is the partial fraction decomposition of f A B C D B Cx D E x 2 x 2 x 2x 1 x 1 Ax B Cx D 2...
- Q Simplify y 4 y 8 Write your answer with a positive exponent only
- Q Find the derivative f x 20x 2 1x20 OA 10x 1 2 10x19 OB 10x1 2 10x19 O c 10x 1 2 10x10 D 10x 2 10x10
- Q 2 Evaluate each integral a f3 sec x sec x tan x dx
- Q Coal gas is produced at a gasworks Pollutants in the gas are removed by scrubbers which become less and less efficient as time goes on The following table gives R...
- Q The graph of y f x is shown in blue Draw the graph of y 2f x shown in red by determining how a stretch or compression will transform the...
- Q 39 Demand The daily demand x for a certain product in hundreds of pounds is a random variable with the probability density function f x 343x 7x 0 7 a...
- Q If we know that fr 1 f t dt sin t t C evaluate Safe R 2 f x dx
- Q 2x 3cos 2y x 15xy 2 dy dx 2x 2ycos 2y x x 3sin 2y x 20y 3 solve as first ordinary differential equations homogeneous clarify the math solving steps
- Q A building contractor s profit in thousands of dollars on each unit in a subdivision is a continuous random variable with probability density function given by f x belov 0...
- Q Solve the following compound inequality 7x 8 2x 7 7x 3 Give your answer in interval notation For example if you found 3 x 5 you would enter 3 5...
- Q Express the following with rational exponents Select the correct answer below O 2y13 5 O2y5 13 O 2y 3 5 O 2y 5 13 O 2y5 13 O2y 13 5...
- Q 14 Find f t if f t ti t 1 j tek and f 0 i 2j 3k
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