As a reminder, this assignment is due on Tuesday, 4/14. 462.4 761.6 734 693.4 707.2 747.8 666.2 639 768.3 734 353.2 503 761.2 611.8 897.2 7 0 0 7 75.139 737.4679 Tm /T1_3 1 Tf (abs\( \) The absolute value )Tj /Artifact <>BDC The question might also require you to enter units or to specify the correct number of significant figures. 0000000143 00000 n /T1_0 1 Tf Desmos, completely awesome and free graphing calculator. /Length 341 /Type/XObject (m)Tj

(-infinity, infinity) is the set of all real numbers. 7 0 0 7 75.139 472.2679 Tm Our goal is to make the OpenLab accessible for all users. Your first WeBWorK assignment, a review of important Calculus skills, is due next Tuesday, February  3th, at midnight. The questions, classes, or instructors might require greater (Be careful entering expressions just as you would be careful entering ex\ pressions in a )Tj The Complex class supports the Common MathObject Methods, and the following additional methods: Method. Mathematical Constants Available In WeBWorK 0 0 0 0 0 0 0 0 0 0 777.8 277.8 777.8 500 777.8 500 777.8 777.8 777.8 777.8 0 0 777.8 )Tj /T1_0 1 Tf This page was last edited on 28 June 2017, at 14:04. 7 0 0 7 75.139 196.4679 Tm endobj /T1_1 1 Tf /T1_1 1 Tf Multiplications and divisions are performed left to right: 2/3*4 = (2/3)*4 = 8/3. 295.1 826.4 501.7 501.7 826.4 795.8 752.1 767.4 811.1 722.6 693.1 833.5 795.8 382.6 /T1_1 1 Tf Here’s the list of the functions which WeBWorK understands. checked. 9 0 0 9 18 7.17 Tm should be clear from the question. You can use i to enter complex numbers. endstream Write sin(t) instead of sint or sin t even though WeBWorK is smart enough to, You can enter sin^2(t) as a shortcut although mathematically speaking sin^2(t) is shorthand for (sin(t))^2 (the square of sin of t). 1i returns the basic imaginary unit. 0000015030 00000 n

/T1_0 1 Tf a fraction or irrational number like p 2), you can enter it either symbolically or by using a decimal expansion.

In another case, we might find complex roots such as,   r = -4 ± 3i then y(t) = C1 e– 4tcos(3t) + C2 e– 4t sin(3t), because of imaginary part 3i, we have Cos (3t) and Sin (3t). The kind of answer that is expected /T1_0 1 Tf /T1_1 1 Tf /T1_0 1 Tf BT Also can be written |x|. Write each radical as an imaginary number. 7 0 0 7 75.139 543.8679 Tm /BaseFont/VIMNIL+CMTT12 /T1_2 1 Tf 0 -1.2 TD /BaseFont/GMUQEZ+CMR8 T* The Complex class supports the Common MathObject Methods, and the following additional methods: The Complex class supports the Common MathObject Properties, and the following additional ones: https://webwork.maa.org/mediawiki_new/index.php?title=Complex_(MathObject_Class)&oldid=13786. This method is best for adding small numbers of students quickly. (m)Tj (m)Tj Exponents are taken right to left: 2^3^4 = 2^(3^4) = 2^81 = a big number. 0 Tc 0 Tw 0 Ts 100 Tz 0 Tr 9 0 0 9 18 780.17 Tm >> ( )Tj To log in to the WeBWorK courses, use your UO credentials; your duckid is your username and the password is the same as your UO email password. \(sin\(2\ \)\)*t. Be careful. If enabled by your instructor, an answer format tip stream /LastChar 196

When entering scientific notation, always use a lowercase, Answer Math Questions with Calculator Notation. ( )Tj /T1_1 1 Tf T* >> /T1_0 1 Tf ( )Tj 0000005839 00000 n (m)Tj (asin\( \) Another name for arcsin )Tj 0000014929 00000 n /T1_1 1 Tf

BT >> – 15 – 48 + 49 = – 3 C2 + C2

>> 0000000371 00000 n In this case, we will plug it into y” – 4y’+ 3y= – 168e7t. 7 0 0 7 75.139 474.2679 Tm (The only way to make sure that you are entering what you want to enter i\ s the use of )Tj 0000001459 00000 n CHEMISTRY (WEBWORK) SPARTAN: Enter the numerical energy values (X, Y, & Z) on the y-axis and calculate the Ea and G. (Note: This is a multipart problem. 10 691.277 l

324.7 531.3 590.3 295.1 324.7 560.8 295.1 885.4 590.3 531.3 590.3 560.8 414.1 419.1 ( )Tj (problem specifies. or to specify the correct number of significant These problems have been resolved, and the problems should work correctly now – go ahead and try them again. Don't enter 2/4+5 (which is 5.5) when you really want 2/(4+5) (which is 2/9). MATH 10280 WeBWorK Semester 1 2012 Advice on submitting answers If a given answer is not an integer (e.g. (-infinity,5) is the set x 5. (m)Tj (\(4*x\)\)^2 much clearer than 2+3sin\(4x\)^2?

7 0 0 7 75.139 270.6679 Tm (How to Enter Answers in WeBWorK)Tj Your temporary password is the same as your username (if your username is ‘jsmith’, your password is currently ‘jsmith’). ( )Tj 15 0 obj Use it to display information for the entire WeBWorK site which will be viewed at login time. How to Enter Answers in WeBWorK endstream endobj 23 0 obj<> endobj 24 0 obj<>stream ET 0000015702 00000 n 0000015175 00000 n Return to the top. 0.5 0.5 0.5 rg

Now we can write the homogenous differential to a characteristic equation. >> /ColorSpace/DeviceRGB /T1_0 1 Tf

1 0 0 rg 0000000437 00000 n (universal rules as to which should be done first in the absence of paret\ heses. ( )Tj ( )Tj 0000000016 00000 n 14 0 0 14 90 136.2679 Tm ( )Tj

)Tj

Good question. /FirstChar 33 checked. /LastChar 196 (m)Tj Just a quick note about part c) in problems like these: The “basic solutions” refer to the two solutions that come from plugging the roots of the characteristic equation into our “best guess” formula . 14 0 0 14 90 220.2679 Tm

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The calculation involved non-integer powers of negative numbers. WeBWorK Tips: Click on a problem to see the details (the list of problems appears in the menu on the left). /Matrix[1 0 0 1 0 0] /Subtype/Type1 14 0 0 14 90 304.2679 Tm ( )Tj 9 0 0 9 18 7.17 Tm ( )Tj (next all multiplications and divisions are performed, giving 3sin\(4x\)^\ 2. Intervals in WeBWorK What is the domain of fx() x? 7 0 0 7 75.139 543.4679 Tm 444.4 611.1 777.8 777.8 777.8 777.8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 %PDF-1.2 Because things in parentheses are always done first [ i.e. cos(pi) is -1, e This gives 2.71828182845905, e.g. /T1_0 1 Tf 28 0 obj

For example, if the two roots are , then the basic solutions would be: Let me know if you have any followup questions  (or questions about anything else in the current WeBWorK assignment). (\(2,3] is the set 2>BDC 2009-05-01T12:32:45-04:00 -4.107 -2.557 Td 0000001266 00000 n As with all MathObjects, you obtain an answer checker for a Complex object via the cmp() method: The Complex class supports the common answer-checker options. (m)Tj 0000001483 00000 n /Height 24 About WeBWorK_wiki. /T1_0 1 Tf ( )Tj E.g. The value i represents [math]\sqrt{-1}[/math] and can be used in your Perl expressions to produce complex numbers. 489.6 489.6 489.6 489.6 489.6 489.6 489.6 489.6 489.6 489.6 272 272 272 761.6 462.4 WebAssign. Finally, all add\ itions and subtractions )Tj

[���������G���E���"ZD�h-�E���"ZD�h-�E���"ZD�h-�E���"ZD�h-�E���"ZD�h-�E���"ZD����Qo�/lQd}sf��/�� /T1_1 1 Tf 7 0 0 7 75.139 577.0679 Tm /Type/Font For example 2+3sin^2(4x) will work and is equivalent to 2+3(sin(4x))^2 or 2+3sin(4x)^2.

)Tj (Suggestion: bookmark, save, or print this page! /T1_1 1 Tf 7 0 0 7 75.139 153.0679 Tm (m)Tj The conj() function returns the complex conjugate of a Complex object. (pi This gives 3.14159265358979, e.g. 413.2 590.3 560.8 767.4 560.8 560.8 472.2 531.3 1062.5 531.3 531.3 531.3 0 0 0 0 14 0 0 14 90 388.2679 Tm ( )Tj /Type/Font /Subtype/Type1 /T1_0 1 Tf 0000015428 00000 n (Other roots are also done with fractional exponents. ( )Tj WeBWorK is accessible from on and off campus, anywhere you have access to the internet. The calculation involved numbers that were too big. 500 500 611.1 500 277.8 833.3 750 833.3 416.7 666.7 666.7 777.8 777.8 444.4 444.4 The form of the nonhomogeneous second-order differential equation, looks like this y”+p(t)y’+q(t)y=g(t) Where p, q and g are given continuous function on an open interval I. WeBWorK assignments #6, 7, 8, formerly due tonight, have been extended by two days. /T1_0 1 Tf (never)Tj )Tj %PDF-1.6 %âãÏÓ

But sin 2t is really sin\(2\)t, i.e. 601 690.277 l 12 0 obj /Filter/FlateDecode /T1_0 1 Tf /T1_0 1 Tf (accept sin t or even sint. New York City College of Technology | City University of New York. (step\( \) The step function \(0 if x < 0, 1 if x >= 0\) )Tj 14 0 0 14 90 459.4679 Tm (concerns powers, expressions like 2^3^4. /T1_1 1 Tf /Resources<< might also specify whether significant figures or units will be (Be careful entering powers of trigonometric, and other, functions. -15 = 3C1 + C2 – 49 (Intervals in WeBWorK)Tj

514.6 514.6 514.6 514.6 514.6 514.6 514.6 514.6 514.6 514.6 514.6 514.6 514.6 514.6 14 0 0 14 316.0023 649.4026 Tm (m)Tj

7 0 0 7 75.139 371.4679 Tm Username. (other computers will read 2/3*4 as 2/\(3*4\)=1/6. >> Not all questions accept all kinds of notation. Use whatever email address you like (I suggest using one that you check often). (fact\( \) The factorial function \(defined only for non negative integer\ s\) )Tj /T1_1 1 Tf 875 531.3 531.3 875 849.5 799.8 812.5 862.3 738.4 707.2 884.3 879.6 419 581 880.8

(e This gives 2.71828182845905, e.g. (m)Tj (and many computers read things from left to right, so 2/3*4 means \(2/3\)\ *4=8/3. 593.8 500 562.5 1125 562.5 562.5 562.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 /T1_0 1 Tf (m)Tj

(-infinity,5) is the set x<5. )Tj 0.875 0.875 0.875 rg (arctan\( \) )Tj Returns the imaginary part $c as a Real MathObject. 7 0 0 7 75.139 680.2679 Tm 7 0 0 7 75.139 455.4679 Tm >> ( )Tj

7 0 0 7 75.139 304.2679 Tm You can do some problems now, and come back and do the rest another day (your work will be saved, as long as you submit your answers). (* Multiplication. Real and imaginary components, phase angles. (^ or ** Denotes powers. /T1_1 1 Tf Your focus right now should be preparing for the exam on Thursday – good luck! Complex numbers are created via the Complex() function, or by Compute(), or through the use of the pre-defined complex number i. Answer Numerical Questions. -4.107 -2.557 Td ET 777.8 777.8 1000 500 500 777.8 777.8 777.8 777.8 777.8 777.8 777.8 777.8 777.8 777.8 C2 = 7 The cube root of 7 is then 7^(1/3). T* If you still have any questions and concerns then please contact me at Rana.Das@mail.citytech.cuny.edu, Tagged undetermined coefficients, videos, webwork. 14 0 0 14 90 474.2679 Tm For example, the differential equations must be linear and should not be more than second order. Why does the last expression work? /Article <>BDC ET Finally, solve for C2. (/ Division )Tj Log in to WeBWorK here:  http://mathww.citytech.cuny.edu/webwork2/MAT2680-S15-Reitz/.



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