2: Compute the work done by the force field F = (y, -x) to move an object from point A = (1,0) to B = (-2,3) on the curve y = x² – 1.

Q: Solve the variational problem S v +2y (x +y)] dx = 0, given y (1) = y (2) = 0. [x2

A: The complete solution is in given below

Q: B- {-x+x², -x², l-x5 2 2 C=? 2+x -x?, 2-x?, 3+x=2x2} 1 2+ X a) Find the a). change of basis matrix…

A: Given that  B={-x+x2,-x2,1-x} and  C={2+x-x2,2-x2,3+x-2x2} We find the change of basis matrix…

Q: Find the solution of the initial value problem 1 8y" – 9y' + y = 0, y(0) = 8, y/(0) : 8° Then…

A: Use the given differential.

Q: For the function f(x) = 3x² + 5x – 1, determine the required average and instantaneous rates of…

A: Use the given information and the relevant definitions

Q: Solve each problem. You must define your variables, set up a lgebraically. Remember to provide a…

A: Let the number of teachers be x  the number of administrators be y  Therefore x+y=24 Salary of…

Q: 1. Evaluate the principal value of : - j1) (1+ j1)ª 1 O A. 2.808 + j1.318 O B. 2.808 - j1.318 O C.…

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Q: Please answer the quesiton in the image (d), thank you.

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Q: Find the solution of the initial value problem 1 5y" – 6y' + y = 0, y(0) = 5, y'(0) = 5' Then…

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Q: Use the Venn diagram to answer the problems below. Mr. Dela Cruz conducted a survey on the commonly…

A: 1. Total number of sample space      = 164 + 10 + 5 + 8 + 29 + 4 + 12 + 37      = 269 [ans] 2.…

Q: Problem 1. Let x, y, u and v be row vectors in R' obeying: %3 (2, —1,3), у%3 (-3, 2, 2), X = and…

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Q: The graph on the left shows the terminal point of an arc t (with 0 <t< 2n) on the unit circle. The…

A: Given:In this question, the graph of the unit circle and the graph of  y=sint  and  y=cost  are…

Q: Problem 6. Consider the plane, X, in R³ given by the vector equation: x(s, t) = (1, –1,2) + s(1,0,…

A: Given, Vector equation- x(s,t)=(1,-1,2)+s(1,0,1) +t(1,-1,0);     s,t∈RTo find: c) Q is the…

Q: The bases are regular hexagons. The area of each is about 41.6 cm^2. Find the sum of their areas.…

A: Given: There are two regular hexagons with sides 4 cm. Concept: Now we shall use the formula,…

Q: Consider the following initial value problem. y" + 5y' + 6y = 0, y(0) = 2, y'(0) = B, where B > 0…

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Q: Зу— 6z %3D — 3 2х — 2у — 4z %3D 10 2х + Зу + z % 7 Зх —

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Q: Use the method of reduction of order to find a second solution of the differential equation ty" –…

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Q: Solve the Laplace Transform F(s) of the given f(t). f(t) = - cos(3t) sinh(4t) – 4

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Q: -y=In(5x -2x+1) 3 In n(5x² -2x+1 %3D

A: This is the problem of function.

Q: to = Gim En Gim n-sao NOW P C Em) = 1-0 ete-

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Q: Consider the permutation T = (taqgblvxh)(n sk w fue)(ycodjr)(pzmi). (a) Showing your working, and…

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Q: Determine whether the set S spans R2. If the set does not span R2, then give a geometric desaription…

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Q: (n+1)x*! – x* . cos ((n+1)x) dx, where n is 4

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Q: Uindaterraind coefdicients y" t 4ytuy = (3+x)e"; yro)=2, y'6) =5 %3D

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Q: (Use decimal notation. Give your answer to five decimal places

A: Given,            f(x)=11x+15

Q: i. Look for or create your own linear transformation T: R" → R". where n, and m are both R³, both…

A: In this question, we have to find the examples of linear transformations : (A) T : ℝ3→ℝ3(B) T :…

Q: Find the solution for the system of Linear equations using Gauss-Jordan Elimination of the augmented…

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

Q: b. 3 rows

A: the given rectangle is  draw a horizontal line as drawn in red Now there are 8  therefore one…

Q: The table gives the readings from a laboratory experiment 1 4 Y 120 90 60 70 b+x A curve of the form…

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Q: dy 2х-у-3 dx х+у-2

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Q: Consider the permutation (t aqgblvxh)(n skw fue)(ycodjr)(p z m i). (a) Showing your working, and…

A: The complete solution is in given below

Q: OA g=0073² - 7 3331 + 724 889 OB. g-0.073-7.7651 + 724 889 OC. g=0434-7333 + 724 889 OD. g=0073 7333…

A: Here is the answer.

Q: Find the solution for the system of Linear equations using Gauss-Jordan Elimination of the augmented…

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Q: Let Dibe each o the fillowing whepar pmetrically. Be conte po, wing the formaliam you have practiond…

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Q: Find the area of the region bounded on the left by x = y? and on the right by x = 3 – y?. O a. 7 sq…

A: Given: Equation of curves  x=y2x=3-y2

Q: Write down the augmented matrix corresponding to the following system of equations in five…

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Q: O Proof: a Contradiction: V2 is an irrational number O The sum of a rational number and an…

A: Let us assume that √2 is a rational number. So it can be expressed in the form p/q where p, q are…

Q: Use Cramer's Rule to solve the 3 x 3 matrix A- 3B + 7Z = 13 A +B +Z =1 A- 2B + 3Z = 4

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Q: Find the volume of a cone with a base diameter of 8 ft and a height of 8 ft. Write the exact volume…

A: We use volume formula for cone.

Q: x – 2y + 3z = 7 2x + y+ z = 4 -3x + 2y – 2z = –10

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Q: Find the solution. dy 2y +==x?y?sinx dx y = x?(sinx-c) B y = x²(cosx+c) (c) y = x²(cosr+c) D y = x (…

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Q: 2- y(x + y +1 ) dx – x(x + 3y + 2)dy = 0 Reducible to Exact Method

A: We have to find general solution of given differential equation which we reducible to exact method :…

Q: Find the solution. (D³ + 6D² + 11D + 6)y = 0 - 3x B y = c,xe"+c,e – 3x -3x Dy=c,e-+cze+cze*

A: 21 Given differential equation is D3+6D2+11D+6y=0. We have to find the general solution of the given…

Q: Formulate equations for these problems to find the solution using Gauss-Jordan Elimination of the…

A: Let stall sells x boxes of standard kiwi and y boxes of deluxe kiwi in a day. Given that, price of…

Q: 1. Evaluate the principal value of : - j1) (1+ j1)ª 1 O A. 2.808 + j1.318 O B. 2.808 - j1.318 O C.…

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Q: The figure below shows an isosceles triangle PQR, where |PQ|=|PR| and a rectangle ABCD drawn inside…

A: The formula to calculate the area of a rectangle is A=l·w, where l and w are the length and width of…

Q: (H) L~* [cot** ())

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Q: Question 6 Find the solution. dy 2y dx Ay = x(x+c) By = x³(x+c)3 y = x²(x+c)2 Dy = x2(x-c)-2

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Q: 4. Find the solution to the following system of equations. Show your work. x+y= 10 x-y = 2 You may…

A: To solve the given system of equations.

Q: x2 Sketch the curve for f(x) = Vx + 1

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Q: What is the Partial Fraction formm of the integrand in f 17+19-13 (2+1Xx-2) dx? A. C. + (*-2) (-2)…

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