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  • Math
    The letters R, Q, N, and Z refers to a set of numbers such that: R = real numbers includes all real number [-inf, inf] Q= rational numbers ( numbers written as ratio) N = Natural numbers (all...

    Asked by dariuszzacz on via web

    1 educator answer.

  • Math
    The easiest way I have for knowing the difference between linear and nonlinear is the exponent value on the variable x. It is important to understand the root word in linear. It is LINE. A...

    Asked by schnoop on via web

    8 educator answers.

  • Math
    Hey Shelly, All of these answers are great, but unless you get a better conceptual understanding of the basic parts of a slope intercept equation you will continue to struggle with these equations...

    Asked by shelly-belly on via web

    10 educator answers.

  • Math
    Primary and secondary data fall within the scope of statistics and can be used as part of a research method. The collected data may assist a company in measuring, assessing and discussing the...

    Asked by nkazie on via iOS

    1 educator answer.

  • Math
    Another method is knowing to take the derivative of f(x) = sin^2(x) + cos^2(x) f '(x) = 2 sin(x) cos(x) + 2 cos(x) (-sin(x)) = 2 sin(x) cos(x) - 2 cos(x) sin(x) = 0 Since the derivative is zero...

    Asked by mathexpert on via web

    3 educator answers.

  • Math
    Well, I must admit I never ever thought that I would be answering a question in the Math group, but there you go! As a student who delighted in the fact that I was able to give up Maths at age...

    Asked by julianayun on via web

    3 educator answers.

  • Math
    Initial velocity of the ball = 26.3m/s At the highest point the ball reaches 0 velocity because of the pull of the acceleration due to gravity g. So, the time taken to reach the highest point...

    Asked by jharry23 on via web

  • Math
    Without people who can do math, we would not have many of the things we take for granted. We wouldn't have cars, highways, or plane travel--math is required to design and build such things. Tall...

    Asked by jazmine on via web

    8 educator answers.

  • Math
    sin x - cos x=0 We could divide the equation by (cos x) and the result will be: sin x /cos x - 1 =0 But we know that the ratio between sinx and cos x determine the tangent function. tg x -1 =0...

    Asked by pufsipene on via web

  • Math
    Here we have to find x for which cos 2x = cos x. We know that cos 2x = 2(cos x)^2 - 1. Therefore we can write the expression given as 2(cos x)^2 - 1 = cos x or 2(cos x)^2 - 1 - cos x = 0 =>...

    Asked by frontman0 on via web

  • Math
    You need to work on simple average of the numbers to evaluate the mean such that: Mean = `(12+8+11+10+7+10+15+13+14+9)/10` Mean = `109/10` => Mean = 10.9 You need to evaluate the variance first...

    Asked by jora7 on via web

    1 educator answer.

  • Math
    f(x) = 2x g(x) = x + 3 First let us find (fog)(x) (fog)(x) = f(g(x) = f(x+3) = 2(x+3) = 2x + 6 ==> (fog)(x) = 2x + 6 Now let us find (gof)(x): (gof)(x)...

    Asked by seedrasoso on via web

    1 educator answer.

  • Math
    What you have to remember here is the formulas for area and circumference of a circle. The area of a circle is equal to the square of its radius times pi. The circumference of a circle is equal to...

    Asked by george95 on via web

    1 educator answer.

  • Math
    The limit `lim_(x->0) (1-cosx)/x^2` has to be determined. If we substitute x = 0, the result `(1-cosx)/x^2` is the indeterminate form `0/0` . In this case it is possible to use l'Hospital's rule...

    Asked by creativluana on via web

  • Math
    Empirical probability of an event is estimated by observing results of actual experiments. For example, if you wanted to know the probability of the number 6 turning up when a fair die is rolled...

    Asked by linnie4352 on via web

    2 educator answers.

  • Math
    Let f(x) = sin3x. We need to find the anti-derivative of f(x). Then, we need to find the integral of f(x). ==> intg f(x) = intg sin3x dx Let u = 3x ==> du = 3 dx ==> intg f(x) = intg...

    Asked by leeaeel on via web

    2 educator answers.

  • Math
    A "mixed number," in math terms, is a whole number with a fraction attached to it. What you have posted in your question is essentially an "improper fraction," a situation that occurs when the top...

    Asked by roeboy on via web

    1 educator answer.

  • Math
    If 3/5 is 15, then 1/5 must be 5 (15/3). So 5/5 of that number would be 5 x 5 = 25. So 25 is your answer.

    Asked by anime on via web

    4 educator answers.

  • Math
    A square and a rectangle each have 4 sides and 4 angles. The only difference between them is that a square is a rectangle with equal sides. Both have 4 90 degree (right) angles. A triangle has 3...

    Asked by tweety38039 on via web

    1 educator answer.

  • Math
    To find 10% of a number, just move the decimal one place to the left. 10% of 123 is 12.3 or, multiply the number by the decimal equivalent. 10% is also written as .10 500 x .10 = 50. 20% is also...

    Asked by shannon420 on via web

    3 educator answers.

  • Math
    f(x) = 1/(x^2 - 4) First wewill implify using partial fractions: ==> 1/(x^2- 4) = 1/(x-2)(x+2) ==> A(x-2) + B(x+2) = 1/(x-2)(x+2) ==> A(x+2) + B(x-2) = 1 ==> Ax + 2A + Bx - 2B = 1...

    Asked by tuleen092009 on via web

    1 educator answer.

  • Math
    Given that the volume of the cube is 343 Let x be the length of the side of the cube. Then we know that V = x^3 = 343 ==> x = 7 Now let us calculate the surface are. The surface area of the cube...

    Asked by nadooosh on via web

    2 educator answers.

  • Math
    This should be soled as integrals by parts. In Integrals by parts it says if U and V are fuctions then, `intUdv = UV-intVdu` So let us take U= x and V=e^(2x) Then by differentiation with respect to...

    Asked by andraa1058 on via web

    1 educator answer.

  • Math
    x = prime number y = prime number x+y = 85 1, 84 (neither are prime) 2, 83 (both are prime) 3, 82; 4, 81; 5, 80; 6, 79, ... all evens are paired with a possible odd prime therefore both won't be...

    Asked by chelyadillaput on via web

    1 educator answer.

  • Math
    Before I answer this question it will be worthwhile to clarify on some confusion that exists between some related terms - digits, letters or alphabets, signs, and characters. This confusion can be...

    Asked by sunnimah on via web

  • Math
    You need to remember that the vertices of the square lie on the circumference of circle and the center of circle is also the midpoint of diagonals of the square. Notice that diagonals of the...

    Asked by sharurocks on via web

    1 educator answer.

  • Math
    The function `y = x^(ln x)` . The derivative `dy/dx` has to be determined. First, take the natural log of both the sides. As `y = x^(ln x)` , `ln y = ln(x^(ln x))` Use the logarithmic formula: `ln...

    Asked by jimb840 on via web

    1 educator answer.

  • Math
    Hi, A geometric explanation is very intutive. Look at sin(x) curve below. Sin(-1) = -Sin(1). it is not symmetric But look at the cos(x) curve below. cos(-1) = cos(1). it is symmetric

    Asked by sokolof on via web

  • Math
    1 year consists of 365 days. 1 day has 24 hours, each hour has 60 minutes and each minute has 60 seconds. This gives the number of seconds in an hour as 60*60 = 3600 and the number of seconds in a...

    Asked by kavthuv on via web

    1 educator answer.

  • Math
    Calculus is useful in engineering and construction. However, if you are not involved in one of those fields you may not use it regularly. However, calculus is great training for the mind. It...

    Asked by shaznl1 on via web

    4 educator answers.

  • Math
    `lim_(x->0)(sqrt(1+2x)-sqrt(1-4x))/x` `=lim_(x->0)((sqrt(1+2x)-sqrt(1-4x))(sqrt(1+2x)+sqrt(1-4x)))/(x(sqrt(1+2x)+sqrt(1-4x)))` `=lim_(x->0)((1+2x)-(1-4x))/(x(sqrt(1+2x)+sqrt(1-4x)))`...

    Asked by enotes on via web

    1 educator answer.

  • Math
    A fraction is really a division problem. One-third means ONE divided into THREE parts. So, to find the decimal equivalent, do the division. 1 divided by 3 = 0.33333333 etc. In a case like this,...

    Asked by soccerchic96 on via web

    2 educator answers.

  • Math
    We need to verify that sinx/(1-xosx)= (1+cosx)/sinx We know that sin^2(x) + cos^2(x)=1 ==> sin^2(x)= 1-cos^2(x) ==> sin^2(x)= (1-cos(x))(1+cos(x)) ==> (sinx)(sinx)= (1-cosx)(1+cosx) Now...

    Asked by uwe on via web

    1 educator answer.

  • Math
    For the beginning, we'll add -5 both sides, to move the constant on the right side of the equation, so that being more clear what we have to add to the left side to complete the square. x^2 +2x =...

    Asked by olaf on via web

  • Math
    We have to find the chain rule to find the derivative of f(x) = e^3x. The chain rule for the function f(x) = g(h(x)) gives f'(x) = g'(h(x))*h'(x). Here f(x) = e^3x f'(x) = e^3x * (3x)' => e^3x *...

    Asked by sylli on via web

    2 educator answers.

  • Math
    We know that the area of the circle is given as the following function: A = (r^2)*pi where r is the radius. But we know that: C = 2r ( c is the circumference) ==> r = C/2 Now substitute...

    Asked by hannah555 on via web

    1 educator answer.

  • Math
    To graph the equation y = 4x + 3 by hand choose any two values of x. For example x = 1 gives y = 7 and x = 0 gives y = 3. The graph of the equation is a straight line drawn between the points (0,...

    Asked by mirpoix02 on via web

    3 educator answers.

  • Math
    dy/dx = x - yUse substitution:v = x - yDifferentiate with respect to xdv/dx = 1 - dy/dxdy/dx = 1 - dv/dxNow we use above substitutions in differential equationsdy/dx = x - y1 - dv/dx = vdv/dx = 1 -...

    Asked by reflex on via web

    1 educator answer.

  • Math
    We are traveling at a speed S = 60 m/h The distance we are traveling is D = 50 m We know that: Speed (S) = distance (D)/ Time (T) 60 = 50 / T ==> T = 50/60 = 5/6 hour ==> T = 5/6 * 60 minutes...

    Asked by meganabel on via web

    1 educator answer.

  • Math
    When you were 4 years old, your sister was half your age. Half of 4 is 2, your sister was 2 years old when you were 4 years old or she is 2 years younger to you. Your present age is 100, as your...

    Asked by mimi101 on via web

    2 educator answers.

  • Math
    The profit is the excess of the sale revenue over the cost. Therefore, Profit = (20x-0.1x^2)-(4x+2) = -0.x^2+(20-4)x -2 =-0.1x^2+(20-4)x-2 = -0.1{x^2-16*10x+20) = -0.1(x^2-160x+20)...

    Asked by elozoya on via web

  • Math
    tan^2x - sin^2x = tan^2x(1-cos^2x) = (tan^2x)(sin^2x)

    Asked by lek123 on via web

    1 educator answer.

  • Math
    For a function y=f(x), the inverse function g(x) is such that g(f(x))=1. For the functions you have provided: f(x)=x^3 y=x^3 Take the cube root of y and x^3, => y^(1/3)=x Therefore the inverse...

    Asked by sincerelya on via web

  • Math
    `int "tan"^n x dx =` `int ("tan" ^(n-2) x) ("tan" ^2 x) dx =` `int ("tan" ^(n-2) x) ("sec"^2 x - 1)dx = ` `int ("tan" ^(n-2) x ) "sec"^2 x dx - int "tan" ^(n-2) x dx=` To do the first integral, use...

    Asked by masterpiece56 on via web

    2 educator answers.

  • Math
    Evaluate `int (lnx)/x dx` : We ` `` `let `u=lnx` . Then `du=1/xdx` and we have: `intudu=1/2u^2+C` . Substituting for `u` we get `1/2(lnx)^2+C` . Thus the integral evaluates as `1/2(ln(x))^2+C`

    Asked by homeschool11 on via web

    1 educator answer.

  • Math
    A circles area is pi times the square of its radius or area A of the circle is given by: A = pi*r^2 So,if the radii of the two circles are a and b, then their areas are pi*a^2 and pi*b^2, where pi...

    Asked by arman7763 on via web

  • Math
    We all seem to know what is mathematics, but when it comes to define it we seem to fail completely. A dictionary meaning of mathematics could be a science dealing with study of quantities and their...

    Asked by chrislyn09 on via web

  • Math
    To find the anti derivative of secx. Or to find the In secx dx. We know that d/dx( se cx) = secx tanx.....(1) We know that d/dx tanx = sec^2 x...(2) Therefore Integral secx dx = Integral secx...

    Asked by portoruj on via web

  • Math
    The importance and usefulness of looking at statistics about your data set is that you can determine whether or not the results are really representative of the data. The range will tell you how...

    Asked by redgem99 on via web

    1 educator answer.

  • Math
    The square root of 169 is 13. This is so because 13 times 13 gives 169 -- the definition of a square root of a number k is the number such that when you multiply it by itself you get k. Note that...

    Asked by jj12345678911 on via iOS

    1 educator answer.

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