Calculus question and answers for July 30, 2023
- Q Complete the function table X 3 1 3 4 X f x 0 0 0 0
- Q A line passes through the point 6 1 and has a slope of 1 Write an equation in point slope form for this line 00 64
- Q 5 The scale on a map is 1 5 cm 1280 m If the distance between the school and the library on the map is 12 centimeters what is the...
- Q Find the flux of outward across the curve 9x 4y 36 in the xy plane O 6T O 12T 6T O 12T F 3x y i 2x y i
- Q Suppose F V x y 2 and C is the helical curve parametrised by Evaluate O T O 3T 2 So F F dr I cost y sint 26 05...
- Q Let S be the portion of the surface z x y with 0 x y and 0 z 9 Which of the following gives the surface area of S O...
- Q Let S be the surface parametrised by with 0 u 2 and 0 47 Which of the following gives the surface area of S Sh 2 u dudv O 1...
- Q If what does the following integral equal 1 y w dw 2 10 3 y w dw 5 and y w dw 6 2 3 Question Help Video Message instructor
- Q Calculate the absolute error in the estimate of of 4 32 da using Simpson s rule with rz 2 Enter an exact value Provide your answer below
- Q The graph below shows a piecewise linear function y f t Use it to answer the questions that follow 5 4 3 2 2 1 0 1 2 3 4...
- Q Given that answer 6 f x dx H 29 7 2 f f 6 what is f v du
- Q Find the series representation of 8 x2 2 3 Use your answer to approximate 8 x2 2 3 dx correct to two decimal places
- Q Evaluate the definite integral and type your complete solution showing each step S 1
- Q 70 I In Inx 1 2xcosa x dx Malmsten Integral This might be one of the coolest integrals in calculus it shows the beauty of mathematics I 00 In In...
- Q Evaluate the derivative and type your complete solution showing each step x2 dx sec 1 dr
- Q Plot the point with the given polar coordinates 3 150 O NWA 3 2 1 2 1 0 1 2 3 4 2 1 1 2 2 1 1 2...
- Q Find the component form of the indicated vector Let u 5 2 v 2 6 Find 4u 3v O 14 10 O 26 26 26 8 28 32
- Q Integrate the function 2 over the region E that is bounded by the xy plane below and above by the paraboloid 9 82 8y using cylindrical coordinates sqrt 9 8...
- Q If a 4 a 3 and an 3an 1 2an 2 then find the value of a6
- Q 47 49 f x x 1 dx J1 2 cos x x3 dx
- Q Which of the following represents the volume of the solid generated by revolving the region bounded by f x x 1 and g x x 1 about the x axis...
- Q Here is the graph of 5 cos 3x interval TT A B 3 1 4 C over the TT Give the coordinates of point A the y intercept Give the...
- Q Part 1 Here is the graph of 3 cos 3x the interval TT A B 7 C 3 1 4 TT Give the coordinates of point A the y intercept...
- Q 27 f u 2 u 3 du 29 31 4 2 x x w 2 m 6 dx csct cott dr
- Q 2 Use cylinctrical coordinates to evaluate Sff ayzdv E IN here E is the solid in the first octant that lies under the Paraboleid Z 4 2 g y
- Q 1 point Solve completely by factoring 8x 5x 4 2x 8x 1 x x x x x 1 11 13 52 50 x x 113 R
- Q Step 3 Therefore the volume of the solid of revolution about the y axis is 243x Exercise b the x axis Step 1 To find the volume of a solid...
- Q 9 8 7 6 5 4 3 2 g t 6 8 7 6 5 87 4 3 2 K 2 3935w to 4 5 t 1 2 3 4...
- Q Let g x 76 Use the limit definition of the derivative to differentiate g g x Determine the slope of g at x 6 g 6 Submit All Parts
- Q Professor Ivy wants to buy some honey and has two choices a rectangular bottle that is 5 centimeters by 7 centimeters and 26 centimeters tall or a cylindrical container that...
- Q point Evaluate the integral in terms of the constant 6a dr
- Q 21 Or s 12 3 Or s 4 9 Or s 4 8 Or s 12 3 FUTA ANC
- Q am stall sells both green tea and mocha ice cream A small portion of either costs 0 75 and large portion costs 1 25 During a short period of time...
- Q Use Stokes Theorem to evaluate F dr where C is oriented counterclockwise as viewed Jc F x y z yzi 3xzj exk C is the circle x y 25 z...
- Q 10 10 Sketch the region whose signed area is represented by the definite integral and evaluate the integral a 2x 4 da
- Q Question 9 3 points Use integration to find f 4 if d 3x 2 and f 1 5
- Q 10 9 8 7 6 5 4 3 The focus F is at 1 2 6 S 4 3 2 1 T 2 3 4 S 6 7 8 9...
- Q Consider the following series n 1 x 1 n n 1 a Use a graphing utility to graph several partial sums of the series A 3 n 3 n 1...
- Q Sketch the region whose signed area is represented by the defi nite integral and evaluate the integral a f z 1dx I
- Q 6 a Sketch the function f x 2x 2 from x to x 2 b Approximate the signed area of f x on 2 2 by using 4 Is this...
- Q 8 If f f x dx 2 and g x dx 3 find a f f x g x dx b f 100 f x dx
- Q Solutions of the differential equation sec y are of the form t tan y True False
- Q Which definite integral represents the area of the region that is bounded by 4x 2y2 0 and y x 4 010 4 dy v 4 dy 1 y y 4...
- Q 2 State the definition of the definite integral in terms of Riemann sums
- Q If acceleration is a t t 3 and initial velocity is v 0 10 what is an integral function that could be used to find the velocity at any point...
- Q Suppose sin 3x 1 commas 2 2 Find all solutions 0 x 2 Give exact values in radians and type pi for T If there is more than one answer...
- Q aph y 1 5 cos 3 x 30 0 5 using transformations The f cycles between 0 and 360 U ad 180 y cos x 0 1
- Q Given a b c 0 use Green s theorem find the area of the region D given by ax by c
- Q Consider the given function and the given interval f x 6x 1 x 0 2 a Find the average value fave of f on the given interval fave 65 b...
- Q The population of a country from 1950 to 2000 has been modeled with the function P t 60e0 14t where P is measured in millions and t is measured in...
- Q You know that 3 3 fv f t dt 32 3 2 7 7 3 Evaluate 15 Make sure 19 3 3 12 cos x f 6 sin x dx...
- Q 3 Given the following matrices if possible determine A If not state Not Possible Answer 11 4 6 9 3 2 6 Selecting a checkbox will replace the entered answer...
- Q Q5 b Evaluate the integral fff cos xyz dV V x y z 0 x 1 0 y 1 0 z 1
- Q Express 4 58585858586 as a rational number in the form P 9 where p and q are positive integers with no common factors and a n
- Q A Find the average value of the function over the indicated interval B Graph the function and its average value over the indicated interval in the same viewing windo f...
- Q Evaluate the definite integral 4 3e x dx e 3x x 4 3e 3x
- Q 7 The rate of growth of a bacteria is being tested in a lab It is found that the bacteria multiplies at a constant rate every hour If the sample...
- Q Determine whether the statement is true or false True False If lim f x exists but lim g x does not exist then lim f x g x does not...
- Q Use a familiar formula from geometry to find the length of the curve described and then confirm using the definite integral r 6 sin 0 0 0 T Length
- Q Evaluate the integral 34e 80 7e 10 da Answer C Hint let u e so that du e dx and thus dx du u This substitution converts the integrand into...
- Q Determine the definite integral f x dx that is defined by the limit tim 1 2 1 lin In 11 i 1 Type your complete solution in the space provided...
- Q the area of the region bounded by the x axis and the graph of y sin x from x 0 to x 3 using six rectangles and using right endpoints...
- Q The function f x 11 sin 32 2 models the average rate of change in experiment In the function x represents the number of minutes since the commenc substance is...
- Q 17 Find the volume of each solid obtained by rotating the bounded region around the given axis using cb the shell method Remember with shell method the general equation is...
- Q Find the area under the curve 2 a f x x 1 over 1 1 b f x sinx cos x 3 S over 0 1 2
- Q In 66 66 integrate Check Answer Save 6 sin x y dydx if we change the order of integration that is What is True False Step By Step Example sin...
- Q Evaluate the integral a b 2 L Cove 1 x 3x dx 2 y 1 y dy 1
- Q Evaluate surface integral where S is surface z x y 0 z 2
- Q Find the volume under the surface z f x y and above the rectangle with the given boundaries z 0 x 1 1 y e 1 2 1 4 1...
- Q Given F yi xj Ok and parametric surface 7 u v ui v u v k for 0 u 2 and 0 y 1 find Given 7 u v ui...
- Q To show that F Pi Of is a conservative field we need to show that OP dy e sin y Answer format Enter the value Congratulations your answer is correct...
- Q x dx xy dy where is the positively oriented curve represented by the circles with radii 1 and 2 centered at the origin Evaluate Find the value of 20 ox...
- Q Evaluate the curve line integral x 2y ds where C C C with C representing the curve y 2x from 0 0 to 1 2 and C is the horizontal...
- Q Find the area of the region enclosed by the curves y x 1 and y 7 x
- Q Find a series expansion centered at x 0 for So t 6 sin t dt 16 Ma
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