Q3/ by using De Moivre's theorem find the third roots of 23 – 1 = iV3

Q: Given, w = f(x,y, 2) = y – Va² +2? Sketch the level surface for w = 0.

A:

Q: A ball with mass 0.9 kg is thrown upward with initial velocity 20 m/s from the roof of a building 60…

A: We will form a differential equation for velocity and then solve it to get expression for velocity ,…

Q: What is the selling price of a $10 item after a 50% markup?

A: We want to find selling price of given item.

Q: Estimate the value of x,y and z of the linear equation below using Gauss Elimination method. -4x +…

A: The given system of linear equations…

Q: TRUE OR FALSE. A plane curve C defined by the parametric equations x = f(t) and y = g(t), where t is…

A:

Q: Let e2 (0, 1, 0) and e3 = (0, 0, 1), and define V C R³ via %3D V = span(e2 + e3, e2 – e3) What is…

A: We have to find the dimension of V⊥

Q: You volunteer to help drive children at a charity event to the zoo, but you can fit only 7 of the 17…

A:

Q: Express the limit as a definite integral on the given interval. lim x, In(2 + x?) Ax, [0, 3] n- 00 i…

A:

Q: Find the degree of Q(V2, V5) over Q.

A:

Q: Use an appropriate substitution to solve the equation 7 y y = x20 and find the solution that…

A:

Q: How many distinct permutations can be formed using the letters of the word "ROBBERIES"? There are…

A: We want to find total number of permutations of given word.

Q: Suppose A is a 2 × 2 real matrix witch an eigenvalue A = 5+3i and corresponding eigenvector…

A: The solution is given as

Q: Find a particular solution y, of the following equation using the Method of Undetermined…

A:

Q: Ha/e Garaph the fellauing funchons and bad their laplace trahsform () UG) sint -TS Ans. ) -e"

A:

Q: Sketch the region bounded by 1 + 2, y = -x, x= 1, x = 2 y = - %3D and FIND its area.

A: To sketch: the region bounded by the curves: y=1x+2, y=x2, x=1, x=2. And also, we need to find the…

Q: Evaluate the surface integral F. ds for the given vector field F and the oriented surface S. In…

A: We solve this using the method of F.ds

Q: 12. Suppose that {an} is defined recursively by a, = a - 1 that ao = 2. Find az and a4.

A: Given relation is an = an-12 - 1 With a0 = 2

Q: #2. Let S be the set of all strings of O's and 1's of length 3. Define a relation R on S as follows:…

A: Given: S is the set of all strings of 0's and 1's of length 3. S=000, 001, 010, 100, 011, 101, 110,…

Q: Advance Engineering Mathematics: Find the following Laplace and Inverse Laplace Transform of the…

A:

Q: Identify and sketch the graph of the given equation in R3. x2 + 2y2 + z2 - 8x + 12y - 2z + 35 = 0

A: We have to identify and sketch the graph of the given equation x2+2y2+z2-8x+12y-2z+35=0 in ℝ3

Q: Answer the following True or False. If g(a) is a continuous function and h(x) is differentiable such…

A: The constant functions serve as good counter examples. Using this idea we solve the problem. The…

Q: Use the method of Laplace transforms to solve the given initial value problem. Here, x' and y'…

A:

Q: A company manufacturers and sells a televisions sets per month. The monthly cost and price-demand…

A:

Q: Given a solid is bounded by f(x,y) = 5x² + 5y², x² +y² = 3?, 4y = 7x and x = 0 in the first octant.…

A: We will draw the region for base of solid and then convert boundary curves into polar form to find…

Q: Use Green's theorem to evaluate F. dr. (Check the orientation of the curve before applying the…

A:

Q: 12. Let g(x) = f(t) dt where the graph of f is shown. Evaluate. %3D y 20 a) g(0) b) g(4) = c) g(8)…

A: Given, Graph of f(t) at different values of t g(x)=∫0xf(t) dtTo find: a) g(0)              b) g(4)…

Q: Given: S10.re", f(r) = 2r+3r2- 12r, r20 I<0 a. Find all the eritical numbers of f. b. Find the…

A: As per the company rule, we are supposed to solve only one problem from a set of multiple problems.…

Q: Find parametric equations for the line tangent to the curve of the intersection of the surfaces x +…

A:

Q: An oil refinery produces oil at a variable rate given by the following equation, where t is measured…

A:

Q: Find the absolute maximum and minimum of the function f(x,y) = 2x - 4x +y-4y +3 on the closed…

A: We have to find the absolute maximum and absolute minimum of the given function.

Q: numbers, (1) graph the set on a number line and (11) describe the set using interval notation. Set…

A:

Q: What are the domain and range of functions? a) f(x) = cos^(-1) (In(tan x)) b) y= In( (x+1)/(x^(3)+1)…

A:

Q: Estimate the error in using the partial sum of 65 terms of the series k9 k=1 Error <

A: Given series is  ∑k=1∞2k9

Q: The system + 24 y + 61 z + 15 y + 37 z + 16 y + 40 z 6 x 3 4x + -4 4x -3 has the solution x = 41/4…

A:

Q: Matn Worksheet 2.1: Interval Notation 1. In the first column of the table below, a set of numbers is…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: A grain silo has a cylindrical shape. Its diameter is 16 ft, and its height is 33 ft. What is the…

A:

Q: Solve the given system of equations by either Gaussian elimination or Gauss-Jordan elimination. (If…

A: We have to find the solution of given system of linear equations.

Q: Find the equation of the line that is the image set of the flattening  f (x,y) = (4x - 2y, 2x - y)

A: Solution

Q: 2. Determine the domain and range of the functions below. a. f(x, y) = |*/v4| for any real numbers x…

A: Please post the multiple question separately. Here I answered 1st question as per our policy.

Q: er your answers as a com ter your answers in order

A:

Q: Evaluate the line integral F. dr, where C is given by the vector function r(t). F(x, y) = xy i + 9y2…

A: Solution

Q: Identify and sketch the graph of the following cquations in R. Use our convention in creating your…

A: As you have asked more than one different question which are not linked to each other, we shall…

Q: x² + 2y? + z²– 8x + 12y – 2z + 35 = 0

A: note : As per our company guidelines we are supposed to answer ?️only one question. Kindly repost…

Q: Show that the line integral is independent of path. 2xe-Ydx + (2y - x2e-Y)dy, Cis any path from (1,…

A: The product rule of differentiation states that d dxfg=fdgdx+gdfdx, where f, g are functions of x.…

Q: plve the following initial value problem. y" - 2y' + 2y = 6x + 5; y(0) = 3, y'(0) = 0 he solution is…

A:

Q: 2. Solve the system of equation. Also draw a rough sketch to indicate the number of intersectino…

A:

Q: a) Which node is the root node? b) List all leaves. c) Give all child nodes, the parent node and all…

A:

Q: kj d³y Consider the differential equation kz da R. Which of the following is NOT true? dy +ky-kza =…

A:

Q: Let X - binomial(n, p) and Y ~ binomial(m, p) be independent. a. Derive the MGF of W = X + Y. b. By…

A: Follow the steps.

Q: In Exercises 1- 4, apply the Jacobi method to the given system of linear equations, using the…

A: