Given the initial conditions y=1 at x-1, estimate y at x=1.2 using a stepsize h=0.1. Use Fourth-Order Runge-Kutta method. Express all values in 4-decimal places. (1+x?) - xy = 0 dy dx -3.

Q: Cis the semicircular curve drawn in the ground (the xy-plane) joining the points (0, - 2), (2, 0),…

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Q: I Example 10.31. Given y" + xy +y = 0, y(0) = 1, y(0) = 0, obtain y for x = 0(0.1) 0.3 by any…

A: Here, we need to use Milne's method to solve this problem.

Q: Answer the given system of linear equations using INVERSE OF A MATRIX (using Determinants).

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Q: Let wi be a number associated with player i = 1, 2, 3. Suppose a coalition Sc{1,2,3} has value v(S)…

A: Given: Let wi be a number associated with player i=1,2,3 and a coalition S⊂1,2,3 has value…

Q: 1 6. Find dx. V2x2 -8x +2

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Q: Find the maximum profit P if C(x) = 10 + 56x and p = 92 – 2x. O A. $142.00 O B. $152.00 OC. $166.00…

A: Given  C(x) = 10 + 56x p = 92 - 2x

Q: 17. Cowboy Clint wants to build a dirt road from his ranch to the highway so that he can drive to…

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Q: f(x) f(x) (x). f (x) (2) (1) (1) (2) 7 f'(x) = 72x+3 9 8.

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Q: For the differential equation y" + 4y + 4y = x² Part 1: Solve the homogeneous equation The…

A: The given differential equation is y''+4y'+4y=x2 To find: the solution of differential equation.

Q: For problems 3 & 4 find the arc length function for the given vector function. 3. F (t) = (f, 2r", 1…

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Q: Question 2. space is the union of a finite number of closed balls radius e. Prove that a metric…

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Q: • A body having a temperature of 100°C was placed in a room where the temperature is 5°C. At the end…

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Q: Q1: Below is the population of the city in lenses taken once every 10 years. Estimated population in…

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Q: green balls. 8. The ball is colored red. 13 9. The ball is colored blue 10. The ball is colored…

A: A ball is picked randomly from a box containing 4 red, 5 blue and 6 green balls .

Q: Use the Divergence Theorem to evaluate F.N dS and find the outward flux of F through the surface of…

A: The given vector field is F(x,y,z)=x2 i +y2 j +z2 k and S: x=0, x=a, y=0, y=a, z=0, z=a.  To…

Q: Question 3. 900 Estimate the integral f(x)= fe sinx dx by using trapezoidal rule. You can use…

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Q: Find the maximum profit P if C(x) = 10 + 56x and p = 92 - 2x. O A. $142.00 В. $152.00 O C. $166.00 O…

A: Here we have to find maximum profit.

Q: (y – 3)2 Consider the surface T with equation 4 + 22 = 1. %3D 3

A: We will identify standard  equation of type of quadratic surface by comparing   with given equation…

Q: Estimate the volume of the solid that lies below the surface z = xy and above the following…

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Q: I. Find the probability of the following events. A. A number is drawn from the set {1, 2, 3, ..,…

A: Solution 1) There are twenty numbers in the set. Out of which 10 even numbers and 10 odd numbers.…

Q: Q1: Find a matrix P that diagonalizes A , and check your work by computing P-1AP ; 2 0 -21 1) A = ,…

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Q: |Consider the function: 0<t<3 f(t) = 0, ket 3<t. A) Use the definition to find F(s) = L{f(t)}, where…

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Q: 1. (x² + y²)dx – xydy = 0

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Q: Find the solution of the partial differential equation +4 n. = 0 if the boundary conditions are u(0,…

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Q: Let S be a subset of the metric space M = (X, d), with point p E X. Question 4. Prove that p is a…

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Q: I Example 10.24. If = 2e*y, y(0) = 2, find y(4) using Adams predictor corrector for- dx mula by…

A: Euler's modified formula  ym+1=ym+hf(xm+12h,ym+12hf(xm,ym))   Adams predictor corrector formula…

Q: (a) Set up, but do not evaluate, a double integral for the area of the surface S with parametric…

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Q: 1. Show that cosh 4x = 8cosh4x - 8cosh? x + 1.

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Q: a. all bavarian b. all chocolate filled с. c. all honey dipped

A: As per the company rule, we are supposed to solve the first three sub-parts of a multi-parts…

Q: The average value of a function f(x, y, z) over a solid region E is defined to be 1 favg f(x, y, z)…

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Q: Q6/ Solve the following payoff matrix to find the best strategies and the value of the game: (Use…

A: the solution is given by using graphical method. In this method we draw the lines and then find the…

Q: Solve the differential equation d?y dy 3 + 2y – t = 0 dt dt2 subject to the initial conditions that…

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Q: Sketch the graph of the cylinder x (y – 2)² in R³. %3D

A: Solution:   First of all x-y projection of this 3d graph is

Q: Vicky and Louie go to Xtreme Xpresso for lunch. Vicky order 2 fries and 3 pasta and the total bill…

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Q: Perform the following inverse transformations -3s + (s²+75 12 1) L¬1 s-5) (3s+17' 2) L-1 s2-7 (s+1)…

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Q: Q2. The horizontal distance that a projectile will travel in the air is given by the equation sin…

A: If sin x=y, then it can be written that x=sin-1y. The value of g is 9.8 ms2.

Q: Example 10.28. Solve the differential equations dy = 1+ xz, dx dz - xy for x 0.3, dx using fourth…

A: we need to use runge-kuta fourth order method.

Q: 9. A bottle of Calpis yogurt is removed from a refrigerator having temperature of 40°F. It is found…

A: Solution :-

Q: I Example 11.17. Find the solution of the initial boundary value problem : 'u u 0 sx S1: subject to…

A: Here we need to solve initial boundary value problem.

Q: For the differential equation y' + 8y + 16y = sin(7x)

A: We have to solve the given differential equation.

Q: 3 students are choosing between loose leaf, hardback and electronic texts. Studies have show that…

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Q: Example 11.3. Given the values of u(x, y) on the boundary of. the square in the Fig. 11.7, evaluate…

A: Here we need to use  a) Jacobi's Method b) Gauss-Seidal Method

Q: Example:- Solve the equation Н. W. (3y + e*)dx + (3x + cos(y))dy = 0 dy 2) 1+y? +3x2y 1-2ху-х3 1) dx…

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Q: A property owner wants to fence a rectar next to the road must be sturdier and cos per foot. The…

A: Area of rectangle is given by the product of length and width of the rectangle. The given area is…

Q: Given the surface of revolution with equation y? = 3.x. 3 3 Find a generating curve of the surface…

A: Solution :-

Q: Question 5. GT and G(T) in each case. Let S = {1,2,3, 4} and G = S4. Write all of the elements of…

A: The given set is S=1,2,3,4. It is also given that G=s4. We have to find the element of GT and GT…

Q: y"(t) – 6y'(t) – 2y(t) = 4 cos 2t – 4t³; y(0) = -2,y'(0) = 3

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Q: I. Prove the following by Mathematical Induction 1. 12 + 32 + 52 + ... + (2N - 1)2 =…

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Q: (b) An insect is flying along a path r(x,y,z) = (x(t), y(t), z(t)) in a room where the temperature…

A: The insect is flying along the path r(x,y,z)=(x(t),y(t),z(t)). and the function of temperature is…

Q: 5. Rowena would like to invite 7 friends to go on a trip but has room for only 4 of them. In how…

A: Given: Rowena would like to invite 7 friends to go a trip but has room for only 4 of them