Write the equation in spherical coordinates

Q: Consider the function f(T,y) 1. Show that (0, 0) is a critical point of f(T, y). 2. Determine the…

A:

Q: Indicate all integer solutions, congruent to 7, of the equation 2" = y. What if we replace 7 and 2…

A: Solution :       2x = y (mod 7)     Now if x = 0,then 20 = 1 = y (mod 7)     So, (0,1) is one…

Q: 5. (a) Consider the I.V.P dA kA A(0) = Ao dt as the model for the decay of a radioactive substance.…

A:

Q: Show that x and 2 are coprime in Z[x]

A:

Q: The employees of a company were asked how long it took (in minutes) to commute to work. The results…

A:

Q: Q1/ Using newton's backward difference fomula find the approximate value of y(-1/3) when y(-0.75) =…

A:

Q: Find T(0)

A: Introduction: The tangent vector of a vector valued function rt is represented as r't. The necessary…

Q: A student wants to earn a C for a class. To get this grade, the average of his six test scores must…

A:

Q: AutoSave Off 10-02 task Draw Design Layout References Mailings Review View Help File Home Insert…

A:

Q: is: (a) 2/3 19. If f (x)is a real values bijective function satisfying f'(x)= sin (sin(x +1)) and…

A: Given is a derivative of a function f(x) and f(0)=3  First we use that composition of f with its…

Q: Consider the parametric curve given by r(t) = -2t and y(t) = t². (a) Sketch this curve on the…

A: Equation of the tangent line to the Parametric curves

Q: Determine one real root of h (x) = In(- -3 between -0.9 and -0.2 using the Bisection Method. Compute…

A:

Q: nd Solve:- Qz: Chassify - 3x dy +(3X+リ』= e

A:

Q: Let a > 0 be real. Use residues to evaluate the princi- pal value of the integral R 1+ cos ax lim…

A:

Q: Q1/ Using newton's backward difference fomula find the approximate value of y(-1/3) when y(-0.75) =…

A:

Q: The row echelon form of matrix A is given by: 1 -5 31 0 1 Lo o o 0 [1 3 4 Then a basis for the row…

A: The given problem is to find the row space of the matrix A for the given reduced row echelon form of…

Q: Is there a sequence of continuously differentiable functions: fn : R –→ R such that fn → x and f. →0…

A: Yes, the sequence is given in step 2.

Q: 142 Q2. Let A = Determine a basis for each of the subspaces CS(A"), |3| 316 N(A), CS(A), and N(A").

A:

Q: Problem (1): Let r, s E Q with s t2 .r for all t e Q and let E = QIVr, Vs). Prove that Gal (E/Q) =…

A:

Q: Q3. If a constant number h of fish are harvested from a fishery per unit time, then a model for the…

A:

Q: Let Г3 -5 -1 A 2 3 3 2 В -3 -3 If possible, compute the following. If an answer does not exist,…

A:

Q: Question 2: Consider the nonlinear system -x1 + 10x2 – cos(x1 – x2) – 2 = 0 10x, + x2 + sin (x, +…

A: Given: Let us consider the given nonlinear systems, -x1+10x2-cosx1-x2-2=010x1+x2+sinx1+x2-10

Q: x' + y' – x = cos(t);x' + 2y' = 0; x(0) = y(u) = 0

A:

Q: Q1 Let ø(x) = x² for 0 < x < 1. • Calculate its Fourier sine series by odd extension; • Calculate…

A: Solution a) Given that ϕx=x2 for 0≤x≤1. Odd extension of ϕ(x) is  ϕx=x2, 0≤x≤1-x2, -1≤x≤0 Fourier…

Q: 2. Consider the following system of two linear equations: 0.0003x1 + 1.566x2= 1.569 0.3454x -2.436x2…

A: Solution of the system of linear equations using Gauss elimination method

Q: 2. a) Estimate the area bounded by the curve and the x-axis on [1, 6] using the 5 equal subintervals…

A: As per our guidelines, we are supposed to solve only first subpart. Kindly repost other subparts as…

Q: State whether or not the relation below represents a function and state its domain and range. a. b.…

A:

Q: Q.3) Find the solution of the following differential equation: dy y-I dr

A: Given differential equation is dydx=y−xy+x.....1. We have to find the solution of the given…

Q: 3 1 4 1 5 1 1- Show that the series is convergent. | 2 4 3 42 4 43

A:

Q: B) Find the unique polynomial P(x) of degree 2 or less such that P(1) = 1, P(3) = 27, P(4) = 64…

A:

Q: How to approximation cuboid to cube ? Rf) approximation rectangle to square is  The act of…

A: As per the question we have to find a way to approximate a cuboid into a cube. And in the question…

Q: Given Q1 = 150 - 3P1 + P2 + P3 Q2 = 180 + P1 - 4P2 + 2P3 Q3 = 200 + 2P1+ P2 - 5P3 and TC = Q12 +…

A: We are given a constrained optimization problem, with optimization function TC From that we have to…

Q: ) Find the antiderivative of each function. (a) f(x) = 4/2_1 (b) g(x) = 3e + sec? (c) h(x) = 8 sin x…

A:

Q: Evaluate the integral: 3 I= S (³ + 6) [8 (t) + 135 (t – 1)] dt. . -1 Express your answer using three…

A:

Q: (a) Use a graphing utility to graph the functions  f(x) = 3 cos(2x) + 4 sin(7x)  and  g(x) = 3…

A:

Q: Solue by using

A: Write the equation in matrix form  30-121-24-31xyz=1505 find the determinant D…

Q: Problem (1): Let r, s E Q with s t2 .r for all t E Q and let E = Q[/r, V5). Prove that Gal(E/Q) =…

A:

Q: 22 yd 13 yd 23 yd 9 yd

A: Concept: Here we shall take the whole rectangle of length 22yd and width 23 yd. Then we shall…

Q: The volume of the solid enclosed above by p = 5 and below by ø = x16 is Select one or more: O a. (2…

A:

Q: er a 4-regular undirected graph that has 5 vertices. How many edges are ther

A: In this question, the number of edges is to be calculated when a 4-regular undirected graph has 5…

Q: Use the char. Method to solve: 1 u = (p² +q²) + (p- x)(q-y), where u(x, 0) = 0 %3D

A: Given PDE is u=12p2+q2+p-xq-y,  where ux,0=0. We can write it as f=12p2+q2+p-xq-y-u, then using…

Q: me given graph. Select all that apply. 100 80

A: 1. The horizontal axis is spaced equally at distance of 4 units Therefore horizontal axes scale is…

Q: Hew.y If the directiondl derivative Valne ( Duf) of the function f(x,4) = x-3xy +uy3 at Paint (-2,0)…

A: Directional derivative of a function f(x,y,) in the direction of unit vector  u→=ai^ + bj^…

Q: Give a recursive definition of the sequence 2, 4, 6, 8, 10, . Then write the corresponding recursive…

A: Given sequence is 2, 4, 6, 8, 10, .......... We have to write the corresponding recursive algorithm.…

Q: Q2/ Complete the following table to find the values a, b,c and s y -1 2845 308 3162 1 3544 a 2 3992…

A: We will have to fill the given table using newton's divided difference method.

Q: Question* The Laplace transform of f(t) = et-2 cos(2t-4) u(t- 2)-e-(cos(3t) - 1)

A:

Q: Wate par tial dariptive at finction al three varabler bや

A: To find the partial derivative at (x0 ,y0 ,z0 ) .

Q: Define T: R R by T(x)= Ax, where A is the matrix defined below. Find a basis B for R with the…

A:

Q: For non-null matrices A and B, of the same order, which of the following statements is true? А. А -…

A: We want to find true statement.

Q: =) cosy -八十人中 an the rectangular 一号

A: Introduction: Finding the absolute extreme values of a continuous function over a region in (x,y)…