Determine the following indefinite integral up to a constant c: ∫(sin(3?+7)+cos(7?+3))?? Select one:   3cos(3x+7) - 7 sin (7x + 3) + c   - (1/3) cos(3x+7) + (1/7) sin (7x + 3) + c   (1/3) cos(3x+7) - (1/7) sin (7x + 3) + c   (1/3) sin (7x + 3) - (1/7) cos(3x+7)+ c   not in the list

Q: 19. Inz (Use 0 <0 < 2π.)

A: Given: ln z          0&lt;θ&lt;2π

Q: What is y(x) (i.e., y as a function of x) given that dy dx where you are given the boundary…

A:

Q: Q1: Find the gradient of the following function: f(x, y, z) = e* sin(y) In(z)

A: Given Function = f x,y,z = ex siny ln z

Q: What are the indices (Miller indices) of a plane whose intercepts with three axes are 2,4,2,…

A: take the reciprocal of the intercepts. We then obtain  12,14,12

Q: Which of the following functions of the complex variable z = r+iy = ret0 are analytic and which ones…

A: Note :- We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Find the gradient of [F(x,y) = xy+2y] * O y i + (x+2) k O yj+ (x+2) k O yi+ (x+2) j

A:

Q: The first sixteen values of a function f(x) are given in the table below. f(z) -0.08 1 1.314 2.03…

A: Let us plot the data values:  A is the amplitude (maximum value of the function) of the function…

Q: Convert these complex numbers to polar form and check yo such as Mathematica. (If using Mathematica,…

A: A complex number can be converted from rectangular to polar form and vice versa as:

Q: 1.3 Give the function f(x,y,z) = 3x? – 2xyz +y² – 10z. Find -at the point (2,1,1). дхду 1.4 Find a…

A: 1.3 Given, fx,y,z=3x2-2xyz+12y2-10z then, differentiating f with respect to y…

Q: Given a particle of mass m in the harmonic oscillator potential starts out in the state mwx2 mw p(x,…

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Q: Consider the following kets: 2 i |r,) = +|1+ i y Ir2) = [-3i . 2- 2i 4 (ri \r2) and a) compute the…

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Q: Suppose that you have the functional J (a) = S². ƒ {y(a, x), y' (a, x); x}dx where y (a, x) = 3x – a…

A: Given, Jα=∫-π2π2fyα,x,y'α,x;xdxyα,x=3x-αcos2xTherefore,y'α,x=3+αsin2x

Q: Let E(r) : Calculate the line integral | E(r) - dr along the path a bc in the following two straight…

A: Let's solve the problem in Cartesian coordinate system. Given

Q: a and ß matricies whose eigen values are Prove that

A:

Q: F = = dt d mu dt √1-u²/c² m / T = ²^U2² / 0² {² - a + = m u(u. a) (c²-u²) du dt √1-u²/c² }. qed + u…

A: Here differentiation of product and chain formula of differentiation is used.

Q: Find the centroid of the region bounded by the graphs of the functions 1 π y = 5 sin(x), y = x, and…

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Q: Find the unit vector ev if vector v = &lt;3,2&gt;

A:

Q: In a Hilbert plane with (P), let AABC be some triangle in the Hilbert plane. Let points Dand E…

A: Solution:   Given that,   α(∆ ABC)=1;CE ≅ 2 AEBD ≅ 2 CDCD ↔aAE ↔ bAB ↔ c

Q: The Duffing oscillator with mass m is described by the non-linear second order DE d? x de + ax + Bx°…

A: An oscillator is described by the non linear second order differential equation : d2xdt2 + αx + βx3…

Q: If A = 2yz i – (x +3y – 2)j+ (x² + z)k, evaluate SS, (V × A)· dS over the surface of intersection of…

A:

Q: 14. 2 22

A:

Q: Problem-3: For Vector function, A = (x + yz)i + 3(2xz +y²)j — (xy)k (a) Verify the Divergence…

A:

Q: Q1 2 0 1 Let A a 2 0 where a is some real number. 0 0 1 (1) Find the eigenvalues of A. ind nd th e…

A: (1) Given: The matrix A is A=201a20001. Introduction: Eigenvalues are the special set of scalar…

Q: Ex4@Express w = (x-1) ay in the cylindrical coordinates (b) transform F = P cosa ap in the Cartizian…

A:

Q: 1. Evaluate the integrals. a. b. C. [² (3 + 1⁄2 u ² - /3 4³9) du S² = 4/5 dx 27 [²√₂ √xdx

A:

Q: Evaluate the integral from -∞ to ∞ of the expression exp ip²t 2mħ 4ah² + ipad + fact that the…

A:

Q: e-ikx and f (x) I give you a function called Q(£,p) and tell you the rules are: î = x, and p = -iħ-.…

A:

Q: Q5- The value of the integral J. (Z+1)* Where C is Z = |3|

A:

Q: Find a scalar potential, fi, if  F=(3x^2yz^2)i+(x^3z^2)j+(2x^3yz)k, and fi(1,1,1)=1

A:

Q: . What is the Miller index of the line of intersection of (110) and (īī1) planes in a cubic system?…

A: This is a easy question. The main work here is to draw the planes and rest are easy to follow.

Q: Find an equation for the plane through the points (-6, 8, –1) and (-1,3,–8) and perpendicular to the…

A: The equation of the perpendicular plane is-4x-3y+8z=0Equation of a plane is given…

Q: Topic: Functions of a complex variable Find the real and imaginary parts u(x, y) and v(x, y) of the…

A: Let us understand what the question is about, So any complex function can be written as a real part…

Q: Find C: -A. Z 140.C 2. 0.015=c[3(1-e]* 2.

A: Given data *The given equation is 0.015=12C31-e-4.2140.C2

Q: z-3 Evaluate $c 2?+2z+5 1 and C : |z+1 – i| = 2. dz = "(i – 2). dz where C : Ans. fo z dz = 0 and fo…

A: Given, ∮ C z-3z2+2z+5dz

Schrödinger equation

Schrödinger equation is a prominent equation in quantum mechanics. This equation is used to predict the behavior of quantum states or quantum particles. In quantum mechanics, the particles are treated as waves. A quantity called wave function is used to represent a quantum state. The wave function completely describes the quantum system. This equation can be used to study the particles like electrons, protons and, neutrons. It is also used to study the structure of hydrogen atoms and harmonic oscillators.