2.1.3 .5 -.1 .4 .8 2 3. .4 .4

Q: 2 an =(−1)″-¹ √n−1

A: The given problem is to check whether convergence or divergence for the given term an=(-1)n-1√(n-1)

Q: Prove that at (x, y, z) the point of intersection of three confocals t² 1,² z² 2+₁b²+² c²+1 + + ,2…

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Q: Simplify each expression. Assume the variables are defined appropriately. (a) cos (2 sin ¹(y)) (b)…

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Q: (0² +4) y = 8 sec 2x

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Q: or each of the sequences described below, indicate which of the following properties describes the…

A: Given : A sequence describes below : d) an=2n-n!  for n≥1 e) an=2n-3n   To Find : Which of the…

Q: f(t) = cos 3t sin t

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Q: find u (x, t) for 0 0 which solves Ut - Uxx = e¹, u (x,0) = 1, u (1, t) = u (0, t) = 0.

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Q: atrix about the circled element is 190

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Q: Solve the wave equation, 18²u 4 Ət² with the initial conditions Check 8² u მ2 u(x, 0) = cos(x), Vx…

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Q: 6) Find the area of the part of the sphere X² + y² + Z² = 4 that that lies above the plane Z = 1

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Q: Find a least-squares solution of Ax = b, where A = least-squares solution: * X1 X2 (enter integers)…

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Q: 1. In the graph, indicate which point is the image of P under: Example: The reflection with line 1₁…

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Q: 2. Consider the vector field F(x, y) = (x,y). Let C be the upper half of the circle of radius 1…

A: The given function is F=x,y, and the curve C is upper half of the circle x2+y2=1 oriented counter…

Q: LAC y² Jo dzdxdy (Rewrite using the order of dædzdy)

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Q: find u (x, t) for 0 0 which solves Ut - Uxx = et, u (x,0) = 1, u (1,t) = u (0,t) = 0.

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Q: 2) If (X, d) is a complete metric space show that (S(X), d) is a complete metric space. 3) If (S(X)…

A: A metric space (X, d) is called complete if any Cauchy sequence in the space is convergent on the…

Q: Determine whether the linear transformation T is one-to-one and onto. a -B- b T: R³ (a) one-to-one…

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Q: Sº, ST²S 1 0 хъ xy dydzdx 2 y √x-(²) Z 2

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Q: 2. The limit as x→ 0 of sin x X

A: Given limx→0sinxx .

Q: -10-8 19 (-6,1) (3,2) 10 00. (12,9) 8 6 4 Select the solutions to the graph from the following…

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Q: Solve the given nonlinear plane autonomous system by changing to polar coordinates. x' = y + x(x² +…

A: Given: Nonlinear plane autonomous system of equations as-           x'=y+x(x2+y2)y'=-x+y(x2+y2),…

Q: K Given circle O with center D and diameter AC in the figure below, find each angle measure. A = 1/2…

A: The given problem is to find the measures of all the given angles from given information by using…

Q: (f) Write down, in cycle form, the elements of the cyclic subgroup H of So generated by p. (g) Write…

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Q: Problem 2: Calculate the length of the curve I= a(t-sint) = a(t-cost) y= where T> 0 is a constant.…

A: Here we want to find length of a curve i.e. arc length  Arc length for the parametric curve x= f(t)…

Q: 7. Find the volume generated by revolving about the y-axis of the area bounded by the curve x = y(y…

A: The given problem is to find the volume of the solid generated by revolving about the y-axis of the…

Q: y = =% +1

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Q: 3 Calculate the following limits. In each case, clearly state any facts or results you use (for…

A: Use Limit rules to solve the question.

Q: In 2009, India consumed 20 exajoules of energy from all sources. (One exajoule is 100 joules.) It is…

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Q: Find the equation of the osculating plane at a general point on the cubic curve given by r = (t, t²,…

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Q: (LT-2) Use the Laplace transform to solve the initial value problem y" + y = f(t), y(0) = y'(0) = 0,…

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Q: Graph the polar equation by dragging the number of petals point, the symmetry point, and the other…

A: Given: r=-12sin2θ We have to graph the polar equation.

Q: Graded [(xv). n] do given that v(x, y, z) = 3 yi - 4 xj+2 zk. a) 14T b) 21T c) ○ 7T d) O 7T 2 e)…

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Q: Find an equation for the plane through the points (5, −5, −7) and (14, −5, −9) and perpendicular to…

A: The given problem is to find the equation of plane that passes through the given points and…

Q: Let U 2xy = 1. Note that geometrically, U is a linear. Is U a

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Q: = 3. Let fn be the nth Fibonacci number (so fo = 0, f₁ = 1, and fn fn-1 + fn-2 for n ≥ 2). Find…

A: Let fn be the n-th Fibonacci number where f0=0, f1=1 and fn=fn-1+fn-2 for n≥2. To find an upper and…

Q: Answer with solutions, thankss

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Q: (a) Find a vector function that describes the curve of the intersection of the cylinder z²+²=4 and…

A: We will use trigonometric identity to find parametric equation of curves and combined them to find…

Q: - Σ=10+(6) n

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Q: (b) Prove that if a, b E I are distinct, then there exists a c strictly between a and b such that…

A: Given a,b∈I are distinct. Without loss of generality, suppose a<b. Let f be a function on I such…

Q: 1 f(x) = =-=- 2 X-3

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Q: Find the surface area of the parametric surface r(u, v) = (u + sin(v), v+sin(u), u − v) where - ≤ ≤…

A: Surface area of parametric surface given by ru.v  for  a≤u≤b , c ≤v ≤d  ∫ab∫cdru×rv dv du Where ru…

Q: Let X be a set. Show that the following statements are equivalent. (1) X is transitive. (2) XC P(X).…

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Q: Solve the given initial-value problem. -¹)×, X(t) = X' = 8 5 X, X(0) =(-8)

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Q: Q9A. Consider the following algorithm: sum= = 0 for j in range(1,12): sum = sum + (9*j - 2)…

A: In the given problem a algorithm is given. We have to find out the output of the given algorithm.…

Q: •2 4-x² OJO y So 2 √√x² y³ x² + y 2 1² 2 z² + y² dzdydx

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Q: Use the Laplace transform to solve the given initial-value problem. y" - 9y' + 20y = 2(t-1), y(0) =…

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Q: Determine whether the equation 3 a²b² =z³ has no solutions, a finite number of solutions, or an…

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Q: 4) Find an orthonormal basis (with respect to usual dot product) for the subspace [1] of R³…

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Q: Given that, u = cos(Act) sin(A. x) is an appropriate form of separated solution, solve the wave…

A: The given problem is to find the solution for wave equation partial differential equation with given…

Q: 1 02г с2 0t2 = дги 0х2

A: we solve the wave equation by using separation of the variable method.