(4) A particle moves from point (1,2,3) to point (3,5,2) under the action of force F₁ = 21+j+3k and F₂= 31-4j-2k. Find the work done by the force.
Q: If both matrices A,B are orthogonal prove that (ab) is also orthogonal
A:
Q: Can this be written out with pen/cil and paper?
A:
Q: Discuss the Convergence or Divergence for D ① [4+(-](+2)" 2n+1 ご 2 (2n+1)!
A:
Q: -value problem y" + x²y' - 4xy = 2x³ +6x²-2, y(0) = 0, y(1) = ng method. Use the modified Euler…
A: Given as, The boundary value problem, y"+x2y'-4xy=2x3+6x2-2, 1 y0=0, and y1=2. By…
Q: 0 Given matrix B= -4 11 5 14 -13 -4. What is the element B₁3 in the Adjoint Matrix [B]¹? 6
A: The adjugate, classical adjoint, or adjunct of a square matrix is the transpose of its cofactor…
Q: 4. e² 55 +19 + sin (577) - 3 3 43 67
A: The complex mathematical expressions can be solved using calculators.
Q: . Consider the following equations in X1, X2..... Xn are variables, and a₁,a2.... n are general…
A: Given clear explanation below
Q: The base of a solid S is the region bounded by the ellipse 4x² +9y² = 36. y 4x² +9y² = 36 →x (3,0)…
A:
Q: s have found a strong connection betweer money a person spends on bookshelves ar s level of…
A: Here, Researchers suggests that buy the bookshelves rather than reading books to increase the…
Q: Q1: Solve the following Differential equation by Laplace transform: y" - 6y' = 2 sin(3t) at y(0) = 1…
A:
Q: 3. Supply a third column so that the matrix will be orthogonal: √5/5 2/3 2√5/5 -1/3 0 2/3
A:
Q: Question 2 Give a matrix A as follows -2-6 0 A = 2 7 0 1 2 -1 a) Find the polynomial characteristics…
A:
Q: Use the Newton-Raphson method to approximate the cube root of 10 to two places after the Start with…
A: Newton-Raphson formula, xn+1 =xn-f(xn)f'(xn)
Q: A population of fish in a controlled pond is represented by a growth logistic model: Given the…
A:
Q: where s, t E R. The plane contain the points P(1,-1,-4) and Q(2,1,-3). Moreover, contains the line I…
A: As you have mentioned I am answering number 4
Q: Supply the missing information indicated in the table. Write only the number or the coordinates…
A: According to our guidelines we can do at most three sub-part of a question at a time. Please post…
Q: cos(nt/2) <t+Ⅱ.
A:
Q: If A={1,2,4} and B={1,3,6}, U={1,2,3,4,5,6}, what is An (AUB) a. {5} b. { } c. {1,2} d. {6} O a Ob…
A:
Q: ) Find any relative(local) extrema and saddle points of f(x,y)=xª+yª-4xy+1.
A:
Q: 9. If S and T are finite spanning sets for a vector space V, then S and I have the same number of…
A:
Q: Find the angle between vectors: a = 51-4j+2k and, b= 41+3)+2√5k
A:
Q: . Horizontal translation 5 units right ● Vertical translation 3 units up ● Reflection over the…
A: The given function is f(x)=ex.
Q: 3 2 - x 9x6 6 5 4 2 = 4x + 5x + 7x + x f(x) = 4x² f(x) = Falls to the left and rises to the right…
A: Given some polynomials, check the end behavior of their graphs. (a) fx=4x3-x2-9x-6
Q: Solve the following simultaneous differential equations. (D – 1)x + (D + 3)y = e-t - 1 (D + 2)x + (D…
A:
Q: Q2// Calculate the system response using:- a) Fourier Transform for the continuous signal shown in…
A: Since you have asked multiple questions, we will solve the first question for you. If you want any…
Q: Create the table and the subgroup diagram of the following: a. Z4 b. V-Klein 4-group
A:
Q: (a) Is f continuous at the point (0,0)? Justify your answer. (b) Does the equality lim lim f(x, y) =…
A:
Q: System of Linear Equation] Just choose on one of the method below. Show manual calculation. olve the…
A:
Q: Question 2 i. Use the bisection method of finding roots of equations x-x-1=0 use the initial…
A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…
Q: using determination of integrating factors y (y^3-x) dx + x(y^3+x) dy=0 Attpemt only you can solve…
A:
Q: 3R- Q1/ The volume of liquid in spherical tank can be computed as V = πh²[³R-¹], If R = 6 m, what…
A:
Q: The line y = x - 1 is the tangent line to the graph of the function (A)f(x) = sinh x- cos 3x at the…
A:
Q: y' 2y + 2y = e y(0) = 0, y'(0) = 1, 2) Consider the function f: [-1. 1]> R defined by f() 1) Show…
A:
Q: nd the value of y for x=2./ using a 2" order Lagrange polynomial with the appropriate data SI. Y 1…
A:
Q: [System of Linear Equation] Just choose on one of the method below. Show manual calculation. Solve…
A:
Q: 2 True or False Please judge the following statements. Write T (True) or F (False) only. (1) ( ) If…
A:
Q: How many primes do we have in the following arithmetic progressions: (a) 4, 10, 16, 22, 28, 34,...…
A:
Q: X Find a root of an equation f(x) = cos(x) - using Newton Raphson method
A:
Q: with Solve the equation below using Runge-Kutta method step sizes h = 0.1 over [0,5] interval of…
A: The second-order differential equation given is as follows: x''+4x'+13x=40cost With the initial…
Q: Prove that if n is an odd integer, then 3n+ 5 is an even integer.
A:
Q: Q1 (a) Using the second shift theorem, determine the inverse Laplace transform below: L-1 se-s s² +9
A:
Q: 2. Let H H H where H be a Hilbert space. Let A = B(H) and B be the operator defined on H by 0 iA B =…
A: As per the question we are given a matrix operator B on the Hilbert space H. And we have to show :…
Q: Prove that jer² √ d dx = 2
A:
Q: (2) Find the angle between vectors: a=51-4j+2k and b= 41+3)+2√5 k .
A:
Q: Q.1- Evaluate the following integrals (answer two only) a -1° V√x - √x₁ dx 0
A:
Q: which of the following is a binary operation if a and b are in S
A: To find: Which of the given is a binary operation if a and b are in S
Q: using determination of integrating factors y (y^3-x) dx + x(y^3+x) dy=0 y^2 (xdy+ydx) = (xy+2) dy
A:
Q: (10) IF: A = 2i-j+2k and B = 9i+20j + 12k Find: (1) Unit vector for A direction. (2) Unit vector for…
A:
Q: Parametric Diff. dy (x) Find dx X=2 Co₂ (2+) y= 6. Sin (+)
A:
Q: Express the values of each of these Boolean functions using tables: a)G(a, b, c) = ab + (abc) b)G(a,…
A:
Step by step
Solved in 2 steps with 2 images
- A particle is acted upon by constant forces 4i+j-3k and 3i+j-k and is displaced from the point (1,2,3)to the point (5,4,1). Find the total work spent by the forces ?Find the work done by a force F = 6ỉ + 57– 3k when a particle moves from point | P(-3, 4, 5) to point Q(2, -3, -1) in space.A force F = -3i +j+6k acts through the point (5,-2,-1). Find its moment about the point (3,0,2).
- A force field is given by the equation. A particle is moved from (1,0,0) to (1,1,1) along a straight line. Calculate the work done by the force field on the particle.Find the work done by a force F of 12 pounds acting in the direction (3,1) in moving an object 8 feet from (0,0) to (8,0).The forces F₁, F2, F, acting at the same point P are said to be in equilibrium if the resultant force is zero, that is, if F₁+F₂ ++ F = 0. F₁-(2,-7), F, (5,-3), F₁=(-7, 10) (a) Find the resultant forces acting at P. (b) Find the additional force required (if any) for the forces to be in equilibrium. (If an answer does not exist, enter DNE.)
- A force F = (5, 10) moves an object from the point (1, 3) to the point (9, 8). Find the work done by this force.4* Find the components of the net force and the direction of the net force acting on a body (assumed to be at the origin) if the individual forces are: (b) F₁ = (9,6), F₂ = (2,-5), and F3 = (6, 14).A force of 15 Newton parallel to the vector V=3i+4j is applied to a point that moves on a line from (2,3) to (6,5) assume that the distance is measured in meter. How much work is done?
- An object moves along the curve C shown in the figure from (1, 2) to (9, 8). The lengths of the vectors in the force field F are measured in newtons by the scales on the axes. Estimate the work done by F on the object.A ball is thrown eastward into the air from the origin (in thedirection of the positive x-axis). The initial velocity is 50i+ 80k, with speedmeasured in feet per second. The spin of the ball results in a sounthwardacceleration of 4f t/s^2 , so the accelearation vector is a = −4j − 32k. Where does the ball land and with what speed?A ball is thrown eastward into the air from the origin. The initial velocity is (50, 0, 80), with speed measured in feet per second. The spin of the ball results in a southward acceleration of 4 ft/s², so the acceleration vector is (0, -4,-32). Where does the ball land and with what speed?