Use the given information to find the exact function value. 63 Given sin a = = and

Q: Consider the following differential equation. (sin(y) - y sin(x)) dx + (cos(x) + x cos(y) - y) dy =…

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Q: Find f(3.67) from the next table X 3.50 3.55 3.60 3.653 3.70 Y=f(x) 33.115 34.813 36.593 38.475…

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Q: 50x1 + 107x2 + 36xy = 2 Find the solve of the Linear system 25x1 +54x2 + 20xg=1 by Crout's method…

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Q: \3 // Problem 15. Solve the triangle ABC, if b = 121, c = 160, ZB = 40°. Assume 44 is opposite to…

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Q: (d) (A - BK, B) is a minimal realization for the corresponding Hƒ(s). Let (A, B) be a minimal…

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: When 40​% of a number is added to the​ number, the result is 224 .

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Q: The substitution y = xv(x) transforms a homogeneous equation into a separable equation. The latter…

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Q: what is the volume of a solid of revolution when the region bounded by y=x2, y=-2x-1, y=0 is…

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Q: et f: (a, b) → R. If f'(x) exists for each x, a < x <b, prove that f is continuous there.

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Q: Q11/ Use faylerseries method to solve the init al value problem and find location error! y = 1² + y…

A: Taylor Series:-  yx0 +h =yx0  +h y'x0  + h2 2!y''x0 +h3 3!y'''x0 + ....... Here, h denotes step size…

Q: 2. The complement of a graph G = (V, E) is the graph G = (V, E) where E = {{x,y} | x, y = V(G),…

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: 15 Consider the initial value problem y' - - y = 5t + 4e¹, y(0) = yo. 2 Find the value of yo that…

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Q: Find all local maxima, local minima, and saddle points for f(x₁,x₂)=x²-3xx²+x₂² (a) (0,0) iù a…

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Q: 4) f(t) = [ Hu(t-IT) Jun (6) fœ

A: Laplace transform of the function

Q: Let C: r(t), te [a,b], be a regular curve in R³, oriented from the point P = r(a), up to the F-dr…

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Q: : Find the Laplace transform F(s) = {f(t)} of the function f(t) = (8t) [U(t-4) - U(t-8)].

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Q: (d) Find the approximate solution of the system of equations (using the projection matrix) 3 4 J]-[…

A: Least-square solution: The least-square solution of Ax=b coincides with solutions of the normal…

Q: How many solutions are there to the following equation that satisfy the given condition: x₁ + x₂ +…

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Q: Q11/ Use faylerseries method to solve the init al value problemand find location error I y(0)=1,…

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Q: part

A: Here part C and D are both same.

Q: See the circular helix with equation D(t)= (-15 cost,15 sin t,8t). 1. Look for the value of t such…

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Q: Find the area that enclosed by the circle r-2sin 0 for 4 ≤ 0 ≤T/2 | (+-#) V=2sin o ty

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Q: 3 Eigenvalues and Eigenvectors Represent the matrix A as A = V-¹AV, where A = diag(A₁..... An) is…

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Q: Hand written plzz : Find the Laplace transform F(s) = {f(t)} of the function f(t) = (8-t)…

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Q: The inverse of 17 modulo 23 (a) 19 (b) 18 (c) 20 (d) 21

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Q: 5) Iff is a potential function for the vector field F = (8xy + yz, 4x² + xz - 2yz, xy - y²), then…

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Q: Let f(x) = x and I = [0, 1]. If P is the partition given by P = {0, 1/8.1/4, 1/3, 2/3, 3/4, 1} and…

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Q: Find the surface area of the plane (15x-5z+20y=35) if it ? is in the first octant

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Q: My - N N If = Q, where is a function of x only, then the differential equation M+Ny = 0 has an…

A: The given differential equation is (9x2y+2xy+3y3)dx+(x2+y2)dy=0. To find: Integrating factor. To…

Q: Determine whether the following functions are uniformly continuous on the given domain via € - 8. X…

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Q: The particular solution of the differential equation: (x + 2)² d²-(x + 2) dx +y = (b + 1)(b +…

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Q: Find the general solution to the following differential equation : y' = y²e leet- e Yeer et + y(e-e²…

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Q: See the circular helix with equation D(t)= (-15 cost,15 sin t,8t). 1. Look for the value of t such…

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Q: solve: fx" - 4x - 3y=et-6 5x+y + 4y = 8+ cst

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Q: Obtain linearly independent solutions for each of the following differential equations: 2.3…

A: Solution 2.3: Given differential equation is xy''+y'+x2y=0       (1) Let the solution be, by…

Q: Problem 11. Certain radioactive material decays in such a way that the mass rem years is given by…

A: given mass of the radioactive substance remaining after 't' years is given by m(t)=320e-0.025t where…

Q: Find the value of b for which the differential equation (yelry + x) dx + (bxe¹xy) dy = 0 is exact,…

A: The given differential equation is                                          ye4xy+xdx+bxe4xydy=0 We…

Q: See the circular helix with equation D(t)= (-15 cost,15 sin t,8t). 1. Look for the value of t such…

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Q: Sketch and find the area of the region that lies inside the curve r = 4 + 3cose .

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Q: If [ f(x)\dx<∞ show that limf(x)dx=0 k→∞00 1

A: We have to prove that given expression.

Q: Question 1 1 Use your given sequences to answer the questions Series A 1, -1, -3, -5, -7... Series B…

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Q: Exercise 1. Find the Laplace transform for s> 3 of the following function 0 x(t) = = {² if 0≤ t ≤2…

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Q: [t²cos n=tdt 2 Solve the integration by table or zeroing method, then arrange the integral and the…

A: Sol

Q: The smooth vector-valued function P(t) satisfies P(2)= (-4, 8,-7), P′(2)= (0,-5,2), and P'(2)= (3,…

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Q: L₂V₂ 4+1dx. You need to carefully write out 7. Use the trapezoid rule with n = 60 to approximate the…

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Q: Daniel Bernoulli's work in 1760 had the goal of appraising the effectiveness of a controversial…

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Q: How can the unit circle help us find the exact values of trig expressions involving special angles?…

A: We have to discuss how can the unit circle help us find the exact values of trig expressions…

Q: Let G be the sphere having a diameter with endpoints (1, -9, -12) and (5, -1, 8). 1. Make an…

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Q: For the following functions (a y = In(x² + 4) -x tan¹ dy dx XI2

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Q: Solve the given differential equations: dy x3 1. | dx 2+y²

A: The solution is given as