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##### 5. [10 points] Given the force field F =<-Y,x,z > on the helix C with r(t) = < 2cost,2sint,t/21 for 0 < t < 2T. Find the work done in moving along C. Solution: See Example in the lecture note of Chapter 14.2 (Practice Problems: 43-46 page 1076)

5. [10 points] Given the force field F =<-Y,x,z > on the helix C with r(t) = < 2cost,2sint,t/21 for 0 < t < 2T. Find the work done in moving along C. Solution: See Example in the lecture note of Chapter 14.2 (Practice Problems: 43-46 page 1076)...

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##### In a part = ofa city, all streets run either north-south or east-west and there are no dead ends are Suppose we 'Standing on @ street comner In how many Ways maywe walk lo a corer tha0 Sfour blockS blocks east, using as few blocks as possible? north and six

In a part = ofa city, all streets run either north-south or east-west and there are no dead ends are Suppose we 'Standing on @ street comner In how many Ways maywe walk lo a corer tha0 Sfour blockS blocks east, using as few blocks as possible? north and six...

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##### Safari File Edit View History Bookmarks Window Help225Mon 12.37 AVMecvanmeccliny eciuMcytvonk :Be The _Scoicn ToxiDTno AotudcrinaimcdSokdzCicnn SiuoCrc7o Siuoy__Coiculus quo__dornativc C7PrcblemPrevNextPasswardEmailGracespt) Lct bc thc Iincar function (in bluc) and Ict _ be the parabolic function (in red) below:ProblemsProblem Problem Prablem Problem Problem Problem Problem Problem Problem Problem 10 Prablem 11 Problem 12 Problem 13 Prablem 14 Problem 15 Problem 16 Problem 17 Problem 18Evaluate

Safari File Edit View History Bookmarks Window Help 225 Mon 12.37 AV Mecvanmeccliny eciu Mcytvonk : Be The _ Scoicn ToxiD Tno Aotudc rinaimcd Sokdz Cicnn Siuo Crc7o Siuoy__ Coiculus quo__ dornativc C7 Prcblem Prev Next PasswardEmail Graces pt) Lct bc thc Iincar function (in bluc) and Ict _ be the pa...

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##### Solve the Collowing differential Equation by the Variation of Parameters: Find the Complementary Solution Yc(*) for the associated homogeneous equation_ Find the Particular Solution Ye(x) for the nonhomogeneous equation for g(x) 2y 2y = e tan(x)

Solve the Collowing differential Equation by the Variation of Parameters: Find the Complementary Solution Yc(*) for the associated homogeneous equation_ Find the Particular Solution Ye(x) for the nonhomogeneous equation for g(x) 2y 2y = e tan(x)...

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##### Use IHopital's Rule if applicable to find the limit.lim 3x In (ex -1) X-0Select the correct choice below and fill in any answer boxes in your choice.lim 3x In (ex _ 1) OA X-0(Simplify your answer:)0 B. The limit does not exist.

Use IHopital's Rule if applicable to find the limit. lim 3x In (ex -1) X-0 Select the correct choice below and fill in any answer boxes in your choice. lim 3x In (ex _ 1) OA X-0 (Simplify your answer:) 0 B. The limit does not exist....

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##### Calculate thc pressure (in pascals) of cach species equilibrium:[ftbe mixture compressed t0 hall of its original volume_ will the reaction proceed t0 the Ieft or the right to

Calculate thc pressure (in pascals) of cach species equilibrium: [ftbe mixture compressed t0 hall of its original volume_ will the reaction proceed t0 the Ieft or the right to...

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##### Amarble Is selecied at random from jar containing red marbls 3 yollw marblos, and groen martles: What is tha probebllty that a) tne marbl red? b) the marblo nol yolla ? c) tha marblo either rd Or green? d) tne marble nolthor rod nor groon?

Amarble Is selecied at random from jar containing red marbls 3 yollw marblos, and groen martles: What is tha probebllty that a) tne marbl red? b) the marblo nol yolla ? c) tha marblo either rd Or green? d) tne marble nolthor rod nor groon?...

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##### Pant J: Hydrecatbon Reactlon Pratlte Ir *ur Oul YovtKork In Fan | Jed (nn - une pluductatotach ol Ihe lollowingtc cuol:ut #ulgmcuvTctnn UentnicdictmolcBH; THFH,Oz NzOHPdcH,o HzSO

Pant J: Hydrecatbon Reactlon Pratlte Ir *ur Oul YovtKork In Fan | Jed (nn - une pluductatotach ol Ihe lollowingtc cuol: ut #ulgmcuv Tctnn Uent nicdict molc BH; THF H,Oz NzOH Pdc H,o HzSO...

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##### You are given the following data:Person # Income 10,000 2 20,000 5,000 4 5 30,000Can read True False True False TrueArea Rural Suburban Urban Urban RuralAssume a linear model of a variable of interest y with $1(x) = I(income 6,000),42 (x) I(can read), $3 I(urban) , $4 I(suburban), $5 I(rural), 01 20, 02 = 100, 03 -50,04 -25,05 10 where I() is an indicator function. Predict Jz for Person 2. Show all steps of the calculation:

You are given the following data: Person # Income 10,000 2 20,000 5,000 4 5 30,000 Can read True False True False True Area Rural Suburban Urban Urban Rural Assume a linear model of a variable of interest y with $1(x) = I(income 6,000),42 (x) I(can read), $3 I(urban) , $4 I(suburban), $5 I(rural), 0...

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##### Laser light of wavelength 661 nm is incident on a circular aperture which has a diameter of 0.052 mm_ A diffraction pattern is observed on a screen which is placed 69 cm from the aperture_Give your answer to at least three significant figures. Answer must be accurate to 1%.What is the diffraction angle, 0, of the first diffraction minimum? degrees Submit Answer Incorrect_ Tries 1/20 Previous_IriesWhat is the distance, on the screen, from the center of the central bright spot to the first dark ri

Laser light of wavelength 661 nm is incident on a circular aperture which has a diameter of 0.052 mm_ A diffraction pattern is observed on a screen which is placed 69 cm from the aperture_ Give your answer to at least three significant figures. Answer must be accurate to 1%. What is the diffraction ...

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##### Question 3 part 1 of 1 10 pointsThe second-order bright fringe (m 2) is 4.53 cm from the center line.8 31 3 3 sI 01.13 mDetermine the wavelength of the light. Be sure use the small angle approximation; sin( @ ~ 0 Answer in units of MII

Question 3 part 1 of 1 10 points The second-order bright fringe (m 2) is 4.53 cm from the center line. 8 3 1 3 3 s I 0 1.13 m Determine the wavelength of the light. Be sure use the small angle approximation; sin( @ ~ 0 Answer in units of MII...

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##### An object in rectilinear motion is moving along a horizontal line with velocity u(t) = / + 2312 24t mls over the interval 5] <t < 3 (in seconds)Find the net displacement / of the object: (Use symbolic notation and fractions where needed )Find the total distance traveled by the object: (Use symbolic notation and fractions where needed:)Interpret the results in the context of the problemAfter moving from =-lto =3 seconds, the object is meters t0 the right of where it was at =-[ seconds_ Afte

An object in rectilinear motion is moving along a horizontal line with velocity u(t) = / + 2312 24t mls over the interval 5] <t < 3 (in seconds) Find the net displacement / of the object: (Use symbolic notation and fractions where needed ) Find the total distance traveled by the object: (Use s...

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##### Solve each equation by making an appropriate substitution. If at any point in the solution process both sides of an equation are raised to an even power, a check is required.$$x^{4}-5 x^{2}+4=0$$

Solve each equation by making an appropriate substitution. If at any point in the solution process both sides of an equation are raised to an even power, a check is required. $$ x^{4}-5 x^{2}+4=0 $$...

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##### 4 Refer to Example 2.4.2 in your notes_Consider the area enclosed between the x axis and the parts of the curvex = t33t, y = 4-t2which are connected by the points (~2,0) to (0,1) and (0,1) to (2,0). Which of the following statements islare correct?A_ Area-J22C (t3 3t) (~2t)dt B_ Area=f-2 (4 _ t2)(3t2 3)dt C. Area=2 ~2 (4 _ +2) (3t2 5 3)dt D Area= |_2 (4 - t)(3t2 _ 3)dt+f3(4 - t2)(3t2 3)dt E Area-2 Jo Vs (t3 _ 3t) (~2t)dt F: Area-2 5v3(4 - t2)(3t2 3)dt

4 Refer to Example 2.4.2 in your notes_ Consider the area enclosed between the x axis and the parts of the curve x = t3 3t, y = 4-t2 which are connected by the points (~2,0) to (0,1) and (0,1) to (2,0). Which of the following statements islare correct? A_ Area-J22C (t3 3t) (~2t)dt B_ Area=f-2 (4 _ ...

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##### A. Find the nth-order Taylor polynomials for the given function centered at the given point $a,$ for $n=0,1,$ and 2.b. Graph the Taylor polynomials and the function.$$f(x)=x^{3}, a=1$$

a. Find the nth-order Taylor polynomials for the given function centered at the given point $a,$ for $n=0,1,$ and 2. b. Graph the Taylor polynomials and the function. $$f(x)=x^{3}, a=1$$...

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##### (FPP.4.B.1,2) Below are sketches of histograms for three lists of numbers.(a)(6)(c)50100K0501003Fill in the blanks for each list:(a) The average is around Options: 25, 40, 50, 60, 75. (6) The average is the median. Options: greater than, less than, the same as

(FPP.4.B.1,2) Below are sketches of histograms for three lists of numbers. (a) (6) (c) 50 100 K0 50 100 3 Fill in the blanks for each list: (a) The average is around Options: 25, 40, 50, 60, 75. (6) The average is the median. Options: greater than, less than, the same as...

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##### Write in standard form the equation of the line that passes through the given point and has the given slope. (Lesson 5.4 )$$(6,12), m=-12$$

Write in standard form the equation of the line that passes through the given point and has the given slope. (Lesson 5.4 ) $$ (6,12), m=-12 $$...

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##### 1. What mass of methane (CH4) is in a 250.0Ltank at 28.0Â°C and 5572.0kPa pressure?2. What pressure is required to force 7.20kg of fluorine into a2.30kL tank at 23.4Â°C?3.An X-ray tube at 25.0Â°C is evacuated to a pressure of1.00x10-4kPa How many molecules of gas percm3 (mL) would there be in the tube?

1. What mass of methane (CH4) is in a 250.0L tank at 28.0Â°C and 5572.0kPa pressure? 2. What pressure is required to force 7.20kg of fluorine into a 2.30kL tank at 23.4Â°C? 3.An X-ray tube at 25.0Â°C is evacuated to a pressure of 1.00x10-4kPa How many molecules of gas per cm3 (mL) would...

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##### A student is determining the density of a piece of metal that weighs 10.4694 g. To determine the volume of the metal, the student lowers the metal in a graduated cylinder with 19.50 mL of water. the water level rises to 25.67 mL. What is the density of the metal?

A student is determining the density of a piece of metal that weighs 10.4694 g. To determine the volume of the metal, the student lowers the metal in a graduated cylinder with 19.50 mL of water. the water level rises to 25.67 mL. What is the density of the metal?...

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##### (12 points) Let f()=r'+3x' List al possible raticnal zeros of the finctionFind all the zeros (x -intercepts) of the function (using the synthetic division)Find the y-intercept

(12 points) Let f()=r'+3x' List al possible raticnal zeros of the finction Find all the zeros (x -intercepts) of the function (using the synthetic division) Find the y-intercept...