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What is the anti-derivative of e-x2?
I believe the questioner means e^(-x^2), which is perhaps the most famous of many functions which do not have anti-derivatives which can be expressed by elementary functions. The definite integral from minus infinity to plus infinity, however, is known: It is sqrt(pi). The antiderivative to e^(-2x) is, (-*e^(-2x)/2) Though the anti-derivative (integral) of many functions cannot be expressed in elementary forms, a variety of functions exist only as solutions to certain "unsolvable" integrals. the equation erf(x), also known as the error function, equals (2/sqrt(pi))*integral e(-t^2) dt from 0 to x. As mentioned before, this cannot be expressed through basic mathematical functions, but it can be expressed as an infinite series. If the question is the antiderivative of e - x2, the answer is e*x - x3/3
How can I solve a quadratic equations for x in terms of y?
A quadratic involving x and y is usually in the form 'y = ax2 + bx + c'. This form is y in terms of x, so we must rearrange it. y = ax2 + bx + c y/a = x2 + bx/a + c/a y/a = x2 + bx/a + d + e, where c/a = d + e, e = (b/a)2 y/a - e = x2 + bx/a + d y/a -e = (x + b/a)2 √(y/a - e) = x + b/a √(y/a - e) - b/a = x
What is the antiderivative of the square root of cos x?
Sadly, this falls into the realm of many functions that do not possess an algebraic anti-derivative. This doesn't mean that its value doesn't exist, only that it cannot be expressed in terms of things such as trig functions, polynomials, or any other standard function. One way you can try to express this value if needed could be through the use of a Taylor polynomial which for the first few terms comes out to be a x-x^3/12-x^5/480-(19 x^7)/40320-(559 x^9)/5806080-(2651 x^11)/116121600.... While it may not help to directly calculate, you can express the value of anti-derivatives like this using something called an Elliptic Integral. This specific anti-derivative can be represented as 2E(x/2 | 2) where E is called the elliptic integral of the second kind which can be expressed as E(p | k) = Integral from 0 to p of √(1-k²sin²(t))dt
Why natural log has base e?
Because when the system of logarithms with the base 'e' was defined and tabulated, it was entitled with the identifying label of "Natural Logarithms". ---------------------------------- My improvement: The natural log base is e (a numerical constant of about 2.718). It is chosen as a log base since there is a mathematical series (a "string" of mathematical numerical terms to be summed) for calculating a logarithm (ie. exponent of the base) of a number, which has a base of e. Series for calculating logarithms with bases other than e have basically not been developed.
Simplify e to the 1 plus Inx power?
e1 + (lnx) = e1 * e(lnx) = e * x = ex
What are some math words that end in e?
Sine and cosine
What is e meaning sin tan and cos?
sin is short for sine, cos for cosine, tan for tangent. These functions are defined in several ways; one way is with a unit circle - a circle with radius 1, in which angles are measured starting on the right, and then counterclockwise. In this case, the sine is the y-coordinate on the circle - as a function of the angle. For example, for an angle of 0°, the y-coordinate is 0; for an angle of 90°, the y-coordinate is 1. Therefore, the sine of 0° is said to be zero, and the sine of 90° is said to be one. Similarly, the cosine is the x-coordinate. The tangent of x is the ratio of sine x / cosine x. - Note that in advanced math, angles are often measured in radians instead of the (rather arbitrary) degrees.
What is a hyperbolic sine?
sinh(x) = ½[ex-e-x]
What is a number that cannot be written as a fraction?
Every irrational number fits this category. Examples are pi, e, square root of 3, sine of 1.
Euler's identity for sine?
sin(z)= (e^(i*z)-e^(-i*z))/(2*i) where i=(-1)^(1/2)
How many miles is it from Melvin E Sine to the High One?
3,664.23 Miles
What is euler's formula?
Euler's formula states that, for any real number x,eix = cos x + i sin xwhere e is the base of the natural logarithm, i is the imaginary unit, and cos and sin are the trigonometric functions cosine and sine respectively, with the argument x given in radians.[Sources:][1] My own knowledge.[2] linked
What does Euler's formula equal?
Euler's formula states that, for any real number x,eix = cos x + i sin x,where e is the base of the natural logarithm, i is the imaginary unit, and cos and sin are the trigonometric functions cosine and sine, respectively. The argument x is given in radians.Please see the related link below for more information.
What is 4 12 as a percentage?
Cancelled down to a fraction in its simplest terms, 4/12 is equal to 1/3. Expressed as a percentag,e, this is equal to 33.3 recurring (or 33.333....) percent.
What is angle E to the nearest degree in the triangle EFG where FG is 89 inches EG is 77 inches and angle G is 132 degrees?
This can be solved using the cosine rule to find the length of side EF, and the sine rule to find angle E The cosine rule is: a² = b² + c² - 2bc cos A we have: A = G = 132° a = EF b = EG = 77 inches c = FG = 89 inches (the assignment of b and c doesn't matter as they are the two sides of the angle A and are interchangeable for the cosine rule), giving: EF² = 77² + 89² - 2×77×89×cos 132° → EF = √(77² + 89² - 2×77×89×cos 132°) The sine rule is: (sin A)/a = (sin B)/b = (sin C)/C we have: A = G = 132° a = EF = √(77² + 89² - 2×77×89×cos 132°) inches (found above) C = E c = FG = 89 inches → (sin 132°)/√(77² + 89² - 2×77×89×cos 132°) in = (sin E)/89 in → sin E = (89 sin 132°)/√(77² + 89² - 2×77×89×cos 132°) → E = arc sin((89 sin 132°)/√(77² + 89² - 2×77×89×cos 132°)) → E ≈ 25.8° → E ≈ 26° to the nearest degree
What are some six letter words with 3rd letter S and 4th letter I and 5th letter N and 6th letter E?
According to SOWPODS (the combination of Scrabble dictionaries used around the world) there are 8 words with the pattern --SINE. That is, six letter words with 3rd letter S and 4th letter I and 5th letter N and 6th letter E. In alphabetical order, they are: arsine cosine desine eosine lysine rusine sasine ursine
Integrate e to the power sec x?
The integral of esec(x) dx is not a function that may be expressed in terms of well-studied mathematical functions, elementary or nonelementary. In general, it must be evaluated by numerical methods.
