Calculus Find the following surface integrals. Here S is the part of the sphere x^2+y^2+z^2=a^2 that is over the positively oriented xy plane. 5. Halla las siguientes integrales de superficie. Aqui S es la parte de la esfera r +y + = q² por encima del plano ry orientada positivamente: a. SP + y² + (z + a) b.

Q: tan x (sin xXcos x) 1+ tan x L.S. R.S.

A: Solution of trigonometric Identity

Q: b) The following proposed proof contains two mistakes. Explain the mistakes. Result Let A and B be…

A:

Q: 6. y" + 3y'-2y e-2* [(4+20.x) cos 3x+ (26-32x) sin 3x]

A:

Q: 2. Solve the IVP: *+ 2y = te-2", y(1) = 0 dt

A:

Q: [C] Use Newton-Raphson Method to perform thirteen iterations to the equation sin(x) + a? – e + 8 = 0…

A: Find the root of the given equation :-

Q: Let A = {a, b, c, d, e, f,g, h}, and let G and H be the following equivalence relations in A: %3D G…

A: Given that A = a , b , c , d , e , f , g , h . Also,  G and H are the following equivalence…

Q: An 8-foot ladder is leaning against a wall. The top of the ladder is sliding down the wall at the…

A:

Q: Fit a straight line y = ax +b to the following data 3 8. y 3. 21 4.

A:

Q: 1. Find the smallest distance from the point (0, c, 0) to the surface y = x² + z².

A: Consider the given surface, y=x2+z2 Distance of the point 0,c,0 to the surface will be,…

Q: Solve the following differential cquations 1. x + x*y -sec(xy) Ans. sin x = 2x2 +C x +y Ans. y- tan…

A:

Q: 4 er substitution is performed, which of the following is equivalent to L*x³ VI +x*dx ?

A: Using substitution we solve the intregation.

Q: 5) f(t) = f(t) = e¯2t/1+ sin2t

A:

Q: Determine a definite integral that represents the area of the region enclosed by r = 7 sin 0 . de…

A: Given:                     r = 7sinθ

Q: 1 11 1

A:

Q: The rate of cooling a metal ball can be expressed as dT 3D -k(Т — Та) dt Where T = temperature of…

A:

Q: [-2 0° Solve 7.X +2.4 = B for Xwhen A= 3 -5 and B--10 1 10 -1 3 6 6 4 7. 1 7 16 A. X = 16 11 11 16 X…

A: We have to find X

Q: Use Runge-Kutta of order two with h = 0.5 to obtain an approximation to y(0.5) given that y is the…

A: For first part the solution using second order Runge kutta method is given by using two different…

Q: Find the Fourier series expansion of: 0, -1 <a<0 f(x): f(x) = | sin 7x, 0<x < 1 and then use it to…

A: As per guidelines we experts are allowed to solve 3 sub parts at a time. so please reupload the…

Q: H.W p.564/ use Trapezoidal method and Simpsons' rule to evaluate dx 1) S, n = 4 1+x²

A:

Q: 3. Calculate the area enclosed by the graphs of y = e* and y = x², the y-axis and the line x =1

A:

Q: íf was T'fz (R)→R Linearidentifier grand father ♡ Kert ☺ Im T

A: Here given that a linear identifier T :ℙ2ℝ→ℝ3 defined by Ta+bx+cx2=a, b, a+b. We have to find Ker T…

Q: Simplify 6+j2.5 3+j4

A:

Q: II. Consider the function g defined by 1 g(x, y) = cos (Tx/T) + log3(r – y)* Do as indicated. 1.…

A: Given data The function g defined by g(x,y)=cosπxy+1log3x-y

Q: 3. Write a differential equation to describe each of the following situations. a) The number of…

A: We know differential equation is of the form  dX/ dt = f(t) where X is a function of t.

Q: Ms. Kemp asks her students throughout the year to record the number of hours per week they spend…

A: Best fit line can be identified by 2 methods first is  eye ball method which states that draw a…

Q: 5. An examinee of the National Medical Admission Test (NMAT) got a per What does this imply relative…

A: An examinee got 95% percentile rank, therefore it means that the examinee score higher than 95% of…

Q: Determine whether the following relation is an equivalence relation or not. (a) G = {(x, y) |æ…

A: We have to determine whether the given relation is equivalence relation or not.

Q: 1. Solve the differential equation: xy' – y = 2x ln x

A:

Q: Integrate the following using the basic rules of integration and substitution 1. fx2 +5x3-x-³ dx

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: b) d²y + 5y = 2t, given that y = 0 and = 1 when t = 0 dt dy %3D dt2

A:

Q: Prove whether diverges and state which the following reries converges you or theore test use to…

A:

Q: VI. Use Lagrange Multipliers to solve the following: Maximize f(r, y, z) 4r + 2y + z %3D subject to…

A: The given function is f(x,y,z)=4x+2y+z     andConstraint g(x,y,z) = x2+y+z2-1 The Lagrange…

Q: Evaluate: x2dz using trapezoidal method with n = 10. Round off to 6 decimal places.

A: To evaluate using the trapezoidal rule with n=10.

Q: Suppose f : A → B is an injective function, and {A;};e1 is a partition of A. Prove that {F (A;)};er…

A:

Q: For f(x) = x – 2 and ao = 0, bo Apply the bisection method and calculate b2 (right endpoint after 2…

A: We have to continue the bisection method upto second iteration. Then we have to find b2.

Q: 1. Find the smallest distance from the point (0, c, 0) to the surface y = x² + z².

A:

Q: Use the class algebra to prove that if A C B and C = B – A, then A = B – C.

A:

Q: Determine the cube root of (3 + j4). Round-off the modulus to 3 decimal places, the angle to the…

A:

Q: VI. Use Lagrange Multipliers to solve the following: Maximize f(r, y, z) 4x+ 2y + z %3D subject to a…

A: To solve: Maximize fx,y,z=4x+2y+zSubject to x2+y+z2=1By using lagrange multiplier.

Q: Find the constant variation for each combined variation. Then find the value of the unknown quantity…

A:

Q: 2. Give an example of a graph with at least four vertices, or prove that none exists, such that: (a)…

A: Graph theory, construct a graph

Q: Given the tree below, find the following. e) Which vertex is the parent of h? f) Which vertices are…

A: 1. d is the parent of h 2.sibling of o is p 3.ancestors of m are b,g,e,f

Q: 3. An integer n : 1<n < 1000 is chosen. Compute the probability that the integer is... a) divisible…

A: Probability of divisibility

Q: True or False: For an IVP dy/dx = f(x,y); y(a)=b, if f(x,y) is not continuous near (a,b), then its…

A:

Q: Consider the points A(2, –1,3), B(7,0,5) and C(0, 1, 7), and the line l with symmetric equations х —…

A: We have to solve given Questions

Q: 1-12 For each of the following power series, find the interval of convergence and radius of conver-…

A:

Q: 5. Solve the equation z = 2 – 51. Use radians and leave your answer in polar form. Round numbers to…

A:

Q: If A = B C = E Find the value of L,0, V, E if AB= C. 4 [-1/3 4/9] -1/3 4/9 D. 1/3 -1/9 1/3 1/9

A:

Q: d the smallest distance from the point (0, c, 0) to the surface y = x² + z².

A: Lagranges Multiplier method is used

Q: IF R= 5B-2C find the value of the following 10 13 r21 16 12 #14 #17 #11 r22 #12 15 23 18 r33

A: