Mathematics

Integrate ∫ sin3x sin4x dx

Note that the sin3x and sin4x are not powers. Please show and explain any steps that you take.-The best first step is to use the following neat trig identity: sinAsinB = (1/2)(cos(A - B) - cos(A + B)

Solving trig equation

need a little help solving this trig equation, not too sure what to do, i lost my notes on trig identities cos2x + cosx = 0-That should be cos(2x). The parentheses avoid any possible ambiguity One o

Maximization/Minimization Problem help

Hey all, so I have a Basic Skills Test for multivariable calculus due at midnight, and Im stuck on this one optimization problem. Here it is: A rectangular storage container with an open top is to ha

Are all parabolas not functions

In my textbook, it says that because of the vertical line test, the ordered pair is not a function because of its curved shape and because that there are two Y values for all but one X. I dont know if

Express log((x^2)/(y^3))+5logy-6log√(xy) as one logarithm

Help me please-log(x^2 / y^3) + 5 * log(y) - 6 * log(sqrt(xy)) => log(x^2 / y^3) + log(y^5) - log((xy)^3) =.> log(x^2 * y^5 / (y^3 * x^3 * y^3)) => log(x^2 * y^5 / (x^3 * y^6)) => log(1 / (xy)) => log

Empirical Rule problem

I know the concept of the empirical rule but how do I go about solving these problems? Amy recently took an IQ test and scored a 130.IQ tests have been administered for year and have a mean of 100 an

Advanced Algebra II Help!

Draw a figure in Quadrant I. Use a translation to move your figure into Quadrant III. Describe your translation. Can someone explain this? How do I describe my translation?-You could say:I moved my fi

Solve for A: 2AB=3B(2B-3A)

The best way to do this problem (and others like it) is as follows: 1: multiply (distribute) everything out 2: group terms with the variable you want together 3: factor and solve 2ab = 3b (2b - 3a)..

You need a lear jet for one day, knowing that Swissair rens a lear jet with a pilot for $2000 per day........

$2000 per day plus $1.75 per mile and that Air France rents a lear jet with a pilot for $1500 per day plus $2.00 a mile find the following a. write a formula for cost as a function of distance travele

How do I solve for x? 1.6 = x^1.535

1.6 = x^1.535-1.6 = x^(1.535) 1.6^(1/1.535) = x x ≈ 1.358-1.6 = x^1.535 ln(1.6) = ln(x^1.535) ln(1.6) = {1.535}ln(x) ln(1.6)/{1.535} = ln(x) ln(x) = ln(1.6)/{1.535} e^ln(x) = e^[ln(1.6)/{1.535}]

Who can help me with my geometry

1.) Find the distance between each pair of points D(-1,3), E(-2,5), F(0,-7) & A(5,3), B(7,0), C(2,-4) 2.) Use the distance formula to decide whether line segment AB is congruent to line segment BC I

Integrate ∫ cos(10x) / [cos(5x)+sin(5x)] dx

Any help and steps or explanations would be deeply appreciated. Thank you!-∫ cos(10x) dx / [cos(5x) + sin(5x)] = ∫ [cos^2(5x) - sin^2(5x)] dx / [cos(5x) + sin(5x)], via double angle identity = ∫ [cos

What is the integral of x/4th root of (x+2)dx

i need the steps and i know the answer is 4/7(x+2)^7/4-8/3(x+2)^3/4 + C-Let u = x + 2 du = dx ∫ (u - 2) / ⁴√(u) du ∫ [u^(3/4) - 2u^(-1/4)] du (4/7)u^(7/4) - 2(4/3)u^(3/4) + c (4/7)(x + 2)^(7/4) -

Confusing math problem

Well, not really but I forgot this stuff (AP Calc review) cosx = -1/4 in the interval 0-pi x = 104.478 but its negative so its in quadrant 2 and 3 right? so one answer is 255.522 (360 - 104.478) (1.5

Find area using limits

find the area from [0,3] of 4-(1/4)x^2 using the limit definition. Please show work.-Start by dividing [0, 3] into n equal segments with width Δx = (3 - 0)/n = 3/n. Using right endpoints, the area of