# Questions on Algebra: Complex Numbers answered by real tutors!

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 Algebra: Complex Numbers Solvers Lessons Answers archive Quiz In Depth

 Question 559672: Subtract: (10 - 2i) - (4 - 3i) Click here to see answer by Earlsdon(6287)

 Question 560058: Corrosion in the metal surface of an airplane can be difficult to detect visually. One test used to locate it involves passing an alternating current through a small area on the plane’s surface. If the current varies from one region to another, it may indicate that corrosion is occurring. The impedance Z (or opposition to the flow of electricity) of the metal is related to the voltage V and current I by the equation, where Z, V, and I are complex numbers. Calculate Z for the given values of V and I. V=10+20i I=3+7i Click here to see answer by ankor@dixie-net.com(15645)

 Question 560133: F(x) = 4x^3 - 5x 2x^(1/2). Determine the slope of the tangent when x = 4? Click here to see answer by nyc_function(2733)

 Question 560155: F(x) = 4x^3 - 5x + 2x^(1/2). Determine the slope of the tangent when x = 4? Click here to see answer by Alan3354(30993)

 Question 561791: evaluate the expression 4+10i/2i and write the result in the form a+bi Click here to see answer by josmiceli(9664)

 Question 563537: I have a few I am totally stuck on. #1)2/x+3 - 2x+3/x-1 = 6x-5/x^2+2x-3 Okay so I know that the LCD here is going to be (x+3) and (x+1) but I can not figure out how to distribute it. #2.)x^2-10/x^2-x-20 = 1 + 7/x-5 Here I have I think the LCD is (x-5) (x+4) but again am not being able to figure out how to distribute it properly. #3)5y^(negative)2 +1=6y^(negative)1 No clue the negative exponents are really throwing me here....Thanks so much for your help Click here to see answer by mananth(12270)

 Question 564104: Joe has a collection of nickels and dimes that is worth \$2.15. If the number of dimes was doubled and the number of nickels was increased by 28, the value of the coins would be \$4.65. How many nickels and dimes does he have? Click here to see answer by mananth(12270)

 Question 564049: Explain how complex numbers combine under the following operations: a. Addition b. Division The graphical interpretation should demonstrate how to add and divide complex numbers solely using the graph of each complex number (not based upon the algebraic computation). *** I understand the concept of ; The standard form of complex number is ; (a + bi) + (a + bi) (a + a) +(bi +bi) 2a + 2bi Or … (3 + 2i) + (1+i) (3+1) + (2i + i) = 4 + 3i So WHAT IS THE GRAPHICAL INTERPRETATION; demonstrate how to add and divide complex numbers solely using the graph of each complex number Click here to see answer by richard1234(5390)

 Question 564100: Use the discriminant to determine whether the following equations have solutions that are: two different rational solutions; two different irrational solutions; exactly one rational solution; or two different imaginary solutions. x2 = -4x – 4 Click here to see answer by richard1234(5390)

 Question 564861: Using the method of partial fractions, determine an antiderivative for this function: (x^2 + 1) / (x^3 - x^2 - 6x) The answer is supposed to be: -1/6 ln x + 2/3 ln | x - 3 | + 1/2 ln | x + 2 | = C How to do this? Thank you Click here to see answer by Earlsdon(6287)

 Question 564858: Use the method of integration by parts to determine the primitives for this function: x^1/2 ln x Help me Click here to see answer by ad_alta(240)

 Question 565116: Use Demoivre's Theorem to find the indicated power of the complex number (2+2squareroot3i)^6 not even sure how to start this help would be greatly appreciated Click here to see answer by Edwin McCravy(8893)

 Question 564982: I am trying to help a student at a residential treatment center. We are looking for the number and type of complex solutions and possible real solutions for the following: 2x^2+5x+3=0 4x^3-12x+9=0 2x^4+x^2-x+6=0 Click here to see answer by richard1234(5390)

 Question 565385: Prove: Let F be a finite field of characteristic p. Then the Frobenius map [s(a)=a^p] is an automorphism. Click here to see answer by ad_alta(240)

 Question 565519: By a change of variables, determine the indefinite integral as follows: integral (x^2 - 3x^4)^1/2 dx The answer is supposed to be: (- (1 - 3x^2)^3/2) / 9 help me please Click here to see answer by htmentor(789)

 Question 571890: There is no section for calculus but I really need some help find the second derivative of y=6x^5-5x^4+2 at the point where x=1 Click here to see answer by Alan3354(30993)

 Question 572462: Consider the following complex fraction: (2x^3/5y^3)/(x^3/y^2) Simplify completely the complex algebraic expression shown above. Click here to see answer by Maths68(1474)

 Question 573035: Sorry this is calculus but I really need some help I keep on getting different answers using the different examples ive got please help me Evaluate the definite integral (the integral symbol with 2 at the top and 1 at the bottom)3x^2-2x dx My answers have been 0,1.5,4 and 4.5 Click here to see answer by stanbon(57282)
 Question 573035: Sorry this is calculus but I really need some help I keep on getting different answers using the different examples ive got please help me Evaluate the definite integral (the integral symbol with 2 at the top and 1 at the bottom)3x^2-2x dx My answers have been 0,1.5,4 and 4.5 Click here to see answer by Alan3354(30993)

 Question 574171: i dont know how to simplify the following : (10+15i)-(48-30i) and (6-4i)(6+4i) and (4+3i)(2-5i) any help plz ? Click here to see answer by stanbon(57282)

 Question 574959: this is calculus, I need some help using the simpson rule Consider the integral (the integral symbol with pi/2 at the top and 0 at the bottom)cosx dx i)Using 4 intervals appoximate the integral using the Simpson's rule ii)Determine the actual value of the definite integral Please help me Click here to see answer by richard1234(5390)

 Question 575177: solve the equation by factoring. show work 2x^2 = 7x+15 Click here to see answer by Alan3354(30993)