y=-, y-axis, y=1&y=3 ; OY y = ²₁ y x

Q: A city is described parametrically by the equation r = (ai + bj+ck) + svi + tv₂ where v₁ = 3i+j+ k…

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Q: Determine the parametric equations of the curve of intersection of the ellipsoid 4x² + y² + 4z² : =…

A: Given equation: ellipsoid: 4x2+y2+4z2=4; half-cone: y2=x2+2z2 To find: parametric equations for…

Q: dt² 3.) +4 dt³ d'y dt² + 5 dy -6y=-12 y (0) = 1, y' (0) = 4, y' (0) = -2 ; dt

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Q: Find the flux of the vector field V(x, y, z) = 9xy²i + 9x²yj + z³k out of the unit sphere.

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Q: Let g (x, y) = 7 sin(xy) — 9x² ln(y) + 8. Find the degree 2 polynomial, p, which best approximates g…

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Q: Q3\Find trigonometric function values if tane =3/2

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Q: A company's total cost, in millions of dollars, is given by C(t) = 120-60et where t is the time in…

A: Given- A company's total cost, in millions of dollars, is given by Ct = 120 - 60e-t where t is the…

Q: Suppose we have the following supply and demand equation for a one pound bag of Snoopy’s Organic Dog…

A: The price of the one bag is given as $ 13.25.

Q: hi thank you for your reply when you have put the matrix 135 0 -135,000,-135 0 135 why are the top…

A: Reason is in the image below.

Q: 4. A = 1 1 1 2 1 -1 1 3 1 -1 2 2 1 32 1

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Q: Find the missing Value a. P = P 23, 000; r = 7.5% t= 3 1/4 years b. P = P 15, 500 I = P 3, 250 r = 8…

A: Her We use the formula  I = Prt/100  Where P = Pricnciple             r = rate in %            t =…

Q: 3. Represent the map by a graph and find a coloring of the graph that uses the smallest possible…

A: Consider the following made-up map of the countries of a continent.

Q: ] Use Gaussian Elimination Method. 7X + 5Y + 2Z = 10 = 5 0.7X0.4Y+0.9Z 5X + Y + 8Z = 8 -X+Y+Z = 0.70…

A: 7X+5Y+2Z=10 0.7X-0.4Y+0.9Z=5 5X+Y+8Z=8 -X+Y+Z=0.70 9X-12Y+15Z=-22 to solve it lets convert into…

Q: - The region bounded by 2y = x and (x − 2)² = −4y + 12 is revolved about the line y = 4. Determine…

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Q: Exercises: A. Find for the following: dx 1. y = (5x+3)6 2. y = sec(2x) + tan(2x) 3. y = ln(x²-3x -…

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Q: [(9)se x². d²+xdx + (x²-n²) y=0_ by substitution x== 1102 at 2 pt souhen Hence show that it has no…

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Q: Integrate xy ed २ over the triangular region with vertices: (0,0), (0,8) (0,16)

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Q: Water is leaking from a 2 foot tall rectangular tank at 0.1 cubic foot per hour. Suppose that the…

A: Given that water is leaking from a 2 foot tall rectangular tank at 0.1 cubic foot per hour. And the…

Q: 2. Consider the vector-valued function R(t) = Show that is continuous at t = 1. (e¹-², 1-1², (2-1)),…

A: We use the sequential definition of continuity to show that $R(t)$ is continuous at t=1. The…

Q: OLVE THE FOLLOWING HOMOGENOUS LINEAR DIFFERENTIAL EQUATIONS. 4. (D6 + 10D4 + 25D²)y = 0 5. (D³ - 2D…

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Q: Show that Consider the Fibonacci numbers {F} defined by F₁ = 1, F₂=1, and Fn+2= Fn+1 + Fn. Fn =…

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Q: Let A, B be n x n matrices over C. A scalar product can be Problem defined as (A,B) := tr(AB*). The…

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Q: 3. Solve for all the roots of x using Bairstow's Method starting at r₁ = 0.25 and s₁ = 8.75 of the…

A: Given that, A polynomial fx=x4+8x3+72x-81           1, starting with at r1=0.25,  and s1=8.75,  then…

Q: 2. (sin 60°)(cos 30°) + (cos 60°)(sin 30°)

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Q: 1] Use Gaussian Elimination Method. 7X + 5Y + 2Z = 10 = 5 0.7X0.4Y+0.9Z 5X + Y + 8Z = 8 -X+Y+Z =…

A: Guidlines note As per our company Guidelines we are supposed to answer only the first question.…

Q: After a late night of math studying, you and your friends decide to go to your favorite tax-free…

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Q: Solve the following system of equations by Gauss-Jordan in terms of k, then find the values of k for…

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Q: Determine the parametric equations of the curve of intersection of the ellipsoid 4x² + y² + 42² = 4…

A: To find: Parametric equation of the Intersections of the curves  4x2+y2+4z2=4 and y2=x2+2z2.

Q: Find the first-order and the second-order Taylor formula for f(x, y) = (Use symbolic notation and…

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Q: Use the Euclidean Algorithm to a. Find the GCD of (5610, 8778) b. Express the GCD as a linear…

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Q: Given that (x' (t)-x(t) + y'(t) - z(t) = 3 y(t) + y'(t) + z' (t) = 2 x(t) + y'(t) + z' (t) = 2 TT…

A: We have to find the value of zπ2

Q: 6 If (rn) and (yn) are bounded real sequences, show that sup(n+yn) ≤ lim supan + lim sup yn lim 84x…

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Q: A. Written Works Find the numerical value of each expression. 1. sin 30° - cos 60°

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Q: Find the spherical coordinates of the point with Cartesian coordinates (4, −4, 4√6)

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Q: dy +1=_Y --- dx with initial conditions y = 1 at x = 2.0, produce a numerical solution of the…

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Q: If Z₁ = -10 + 5i and Z₂ = 16-8i, determine the following: 7₁% in rectangular form. COMPLETE THE…

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Q: 3. If f(x) = x + sin(x) is a periodic function with period 2W, then a. It is an odd function which…

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Q: 3. Let R(t) = (t²,1 - t², t) and r(t) = cost. Determine the parametric equations of the line tangent…

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Q: in solving for the area bounded by y = x, y = 2x and x + y = 6 using a vertical element, he total…

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Q: ide a detailed solution. Us

A: Given,       f(x)=xe-x-sin2x

Q: 3n+ 5 n+3 Consider the sequences {an}1 and {bn} defined by an converge to 0. and bn which both n² n1…

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Q: dx d. e. f(3x + 2)5 dx f sec²x

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Q: Evaluate the definite integrals using (a) integration, (b) trapezoidal rule, (c) the mid-ordinate…

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Q: Consider projection operator, if à() is global minimum, is ä(k+¹) = II[x(k)] = x(k) ? True False

A: X(k) is global minimum if     f(x(k)) <= f ( x)    for all x in Rn  This implies  If we take x =…

Q: What are objects in real life that exhibit a. elliptic geometry b. hyperbolic geometry

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Q: 7. Prove that if G is a group of order 1045 and H€ Syl₁9 (G), K € Syl (G), then KG and HC Z(G).

A: 7) Let G be a group of order 1045 and H∈Syl19(G) , K∈Syl11(G).  To show: K⊲G and H⊆Z(G). As per…

Q: a. Use the Gauss-Seidel method to obtain the solution of the system until the percent relative error…

A: Given that, The system of equations, x1+x2+5x3=-21.5-3x1-6x2+2x3=-61.510x1+2x2-x3=27 re-writing the…

Q: curvex²y²-x²y - xy² + x Four asymptotes of the + y + 1 = 0 forming a square are (a) y = 0, y = 2,…

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Q: Radius of curvature for the curve Ti y = 4 sin x-sin 2x at the point x = is 2 √5 (a) (b) 3√5 4 (c) -…

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