If w (x) = Ae^ikx for -L/2sxsL/2 ,normalize it, then A= 1 E 10 1 III O 2L .III O

Q: S 2 x3 dx

A: Given :∫-2x3dx

Q: Differentiate   y = (ln x)2

A:

Q: Let f(x)=3^4x and g(x)=3^4x^2. Which value for xsatisfies f(x)=3⋅g(x

A:

Q: +4 2x. value Of X?

A:

Q: Differentiate   y = (x3 + 1) ln(x3 + 1)

A: Given, y=x3+1 lnx3+1

Q: Let y = 23 e- and set Y = ln y. Find an expression for Y in terms of x and then draw the graph of Y…

A: Given

Q: Differentiate the function. g(t) =  ln    t(t^2+1)^6                   3rd root of 8t-1

A: The solution are next step

Q: 1. Eliminate the parameter in the following and sketch the curve. Indicate the orientation. a) r…

A:

Q: Differentiate the function   f(x) =    1/  ln x

A: Given function is fx=1lnx We know that 1an=a-n So, given function can be written as fx=lnx-1 Before…

Q: For z = 6 + 6 i, find z^ 2 in exponential form (c) z^2 = (36) e^(i T1/2) O (b) z ^ 2 = (36) e^(i n)…

A:

Q: f(x)=e^4x,x=3pi what is the value

A:

Q: I = -S +7142.86 In(S)– 29094.80

A: Given : I = -S + 7142.86ln(S) - 29094.80

Q: Simplify sech (3 ln (2x))

A: K=sech(3ln2x)we know sechx=2ex+e-xwe know  elnx=x

Q: The value of (i)' is = ... O T/2 O T/2 O e^(-T/2) O e^(Tt/2)

A:

Q: Theorem 3.58. Let Tbė a normal operator on a Hilbert space H, then x is an eigenvector of Twith…

A: To prove: If T is a normal operator on a Hilbert space H, then x is an eigenvector of T with…

Q: Find -2 (2x5+ 3x¹) dx

A: Given that a integration and we solve this integration by using general property of integral.

Q: Integrate  (X^4+4x^2log(x^10))dx

A: Given integration (x^4+4x^2log(x^10))dx

Q: 13: = 1 = dx 5sinx – 3cosx−2

A:

Q: how is x⋅x^(m−1)=0.?

A: how is x⋅x^(m−1)=0?

Q: 6 dx x/49 – 4 ln?(x)

A:

Q: sand is poured into a bucket for 30 seconds. after t seconds, the weight in sand is given by S(t) =…

A: sand is poured into a bucket for 30 seconds. after t seconds, the weight in sand is given by…

Cylinders

A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.

Cones

A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.