Solve for the Laplace transform : (number 12)

Q: Consider the following series. (-1)" - 1 n420 00 (lerror| < 0.0005 n = 1 Show that the series is con...

A:

Q: Find the directional derivative of f(x, y, z) =

A: Given,        f(x, y, z)=xy2+yz3 and            a=i^+2j^+2k^  

Q: Find an equation of the sphere satisfying the ff. a. The vertices of a cube are on the sphere, side ...

A: To find the equation of the sphere satisfying the following conditions: a. The vertices of a cube is...

Q: Define a linear operator on R^2 by performing the following operations in order: i) a shear in the ...

A:

Q: Suppose that R is a reflexive and transitive relation on a set A. Define a new relation E on A by th...

A:

Q: 4.x dx 6.4850 O 6.4848 O 6.4849 1.4840 O O

A:

Q: a. Detérmine how to find the points of intersection. B b. If the two circles are tangent to each oth...

A: This is a question of application od derivative and geometry.

Q: Prove that the nonzero row vectors of a matrix in row-echelon form are linearly independent. Let = A...

A:

Q: A farmer wants to fence a rectangular pasture next to a river. The pasture must contain 245,000 squa...

A: The formula to calculate the perimeter of a rectangle of length l and width w is given by P=2l+w. Le...

Q: Find the area enclosed by the polar curve 36 r2 4 cos? 0 +9 sin² e 2 Select one: O a. 10pi O b. 6pi ...

A: In a polar coordinate system a point of the plane is represented by a pair of two numbers (r,θ). The...

Q: 4. Consider the following relations R on the integers Z. For each of these relations, say whether th...

A: For the solution of the problem follow the next steps.

Q: Find the particular solution by means of Laplace and inverse laplace transforms of the following dif...

A: Note:- Our guidelines we are supposed to answer only one question. Kindly repost other question as t...

Q: 3x3 Matrix Determinant 8 4 3 -5 -2 7 9. 9 -8

A:

Q: Find the exact area of the surface obtained by rotating the curve y =x2, 3 0<x<12, about the y-axis....

A:

Q: exist or not exist Show that a3 + y a'y+ xy? lim x2 + y x2 + y z+ 1-i

A: We know that  z = x + i y  When  z = 1- i   then x = 1 and y = -1  When z --&gt; 1- i  then x --&gt;...

Q: Solve the following: (Show all details) 1. Let matrices be [3 0 4] A = |-1 2 2 5 4] [o 2] C = 2 4 li...

A: It is given that ; A = 304-122654  ,    B = 0-5-3-524-340  ,     C = 022413  ,  D = 61-47-83 u = 20-...

Q: Suppose that A and B are sets and f : A –→ B is a function. Fix subsets X,Y C A. Prove that Imf(X) –...

A:

Q: 26-2. Find the same minimum of 26-1 using Lagrange's undetermined multiplier method. Define the Lang...

A:

Q: Given the point D(−4, 5, 3) and A = yax + (x + z)z ay, express the D and A in: Kindly answer in vec...

A:

Q: There is an ant on a circular heated plate. The plate temperature is given by f(x, y) = y² – x² + 12...

A: Consider the function fx,y=y2-x2+12, with equality constraint x2+y2=121 (since the radius is given t...

Q: 2. x + 5y +15 z + 35 w + 70t = 0 X + Y + z + w +t =1 X + 2y + 3z + 4w + 5t = 0 2x + 6y + 12z + 20w +...

A:

Q: 2) fece). (1-+*)* + + cos

A:

Q: 1 Q.3 Evaluate l(s+2)(s² +4)]

A:

Q: Solve the given linear system using: I.Gauss- Jordan Method(Elementsry Row Opetarions). Please attac...

A:

Q: Find the distance between parallel lines x - 2y - 8 = 0 and x - 2y + 8 = 0. Select one: O a. 9.24 O ...

A:

Q: 3) Two observers A and B sight a helicopter due east. The observers are 3540 feet apart, and the ang...

A: Concept: Here we shall use the sine law: According to sine law, asinA=bsinB=csinC Where a b and c ar...

Q: Find the exact arc length of the curve

A: Given, the curve             x=e2tsint+cost,  y=e2tsint-cost over the interval -1, 1

Q: Imagine a single piece of string that can be wound back and forth. In the illustration, the string i...

A: We are giving that, a single piece string that can be wound back and forth Yes, by cutting multiple ...

Q: Perform the elementary row operation R4 – 2R3 → R4 to matrix C to obtain matrix D. -1 0 0 01 -2 1 2 ...

A: To perform row operation R4-2R3→R4 to the given matrix: 1-10002-21240101000215

Q: While calculating correlation coefficient between two variables x and y from 25 pairs of observation...

A: The formula to calculate the correlation coefficient is given by r=n(∑xy)-(∑x)(∑y)[n(∑x2)-(∑x)2][n(∑...

Q: f (x) = x3 – 7x² + 8x – 3 if xo = 5.

A:

Q: A uniform magnetic field B has constant strength b teslas in the z-direction [1.e., B = (0, 0, b) 1 ...

A: Stoke's theorem ∫CF→.dr→=∫∫S curlF→.dS→ Where S is a smooth surface bounded by a smooth closed curve...

Q: Let V be a finite-dimensional vector space, and let B be a basis for V. Let S be a subset of V with ...

A: Given:Let V be a finite-dimensional vector space, and let B be a basis for V.Let S be a subset of V ...

Q: Suppose three events namely A1, A2, and A3. Show that P(A, U A, U A, ) = P(A,)+ P(A,)+ P(A,) iff P(A...

A:

Q: Let R be a ring with identity 1 and let a be an element of R such that a2 = 1. Let S = { ara : r e R...

A: we will use sub ring test.

Q: 3. Tana wants to paint one wall in her house. The wall is 14.5 feet long and 12 feet high. She has e...

A: Let us consider a rectangle of length L and breadth B then  Area of rectangle is  area =L x B Per...

Q: Compute the Taylor polynomial T5 (x) for f (x) = cos(x) around a = 0 and use the Error Bound to find...

A:

Q: (x)f = „& y(0) = 0, y

A: This is the problem of Green's function.

Q: a2/ Using Newton's divided difference fonmula, find the missing value from the table: 4. 6. 14 15

A: Solution

Q: Additional Activities DIRECTIONS: Read each problem carefully and solve it using implicit differenti...

A: Given: The spherical balloon is inflated with gat at a rate dvdt=800cm3/min The speed of the ballon ...

Q: Find the solution of the following Second Order Differential Equations. 14) 4y" +4y'+ y = 0

A:

Q: Set up an iterated integral to evaluate | dV, where W is the region enclosed 1/(x+2y+3+1) by the pla...

A: The solution contains the following: First the region W is plotted by hand in the x y z space. Then ...

Q: 4w dw = w2 –4 -3^(5/3) О з(3/5) 3^(3/5) 3 O O O

A: We have to evaluate the integral ∫124ww2-43dw.

Q: Compute for a real root of sin√(x) -x = 0 using the fixed point method with x0=0.50 until absolute e...

A:

Q: Find integrating factor for the given ordinary differential equation and show that it is a function ...

A: We have to find the integrating factor of the given differential equation and then we have to find t...

Q: Use the sample space shown in the figure to find the probability for the experiment of rolling a pai...

A: Given:   Use the sample space shown in (Above) the figure to find the probability for the experiment...

Q: Frad PH) 5-a

A:

Q: 39. Show that the graph of r =t sin ti + t cos tj + t'k lies on the paraboloid z = x² + y².

A: Here we compare r as its basic equation to prove this.

Q: x²y" +xy' – 4y = 2x*

A:

Q: . Find the missing values in the following table : x: 45 50 55 60 65 y: 3.0 2.0 -2.4

A: