at is the force on

Q: Q2/ Find the first moment about y-axis of the region in the first quadrant bounded by the x-axis,…

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Q: Find the determinant of the following matrix- (1 x₁ x² ... x7-¹\ 1 2 x2x² x²2 ... 1 In x² : ⠀ ⠀

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Q: What is the missing number in the sequence: 21, 34, 55, 89, ___, 233?

A: To find the missing number in the sequence: 21,34,55,89,__,233.

Q: 10 12-f(t)=- fl = f(t)=e' . -31 e-³¹ sin 2t t 42 cos It

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Q: (u)n zu = (u)x

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Q: 2. Consider the function f : R²R such that f(x, y) = x²y-2xy² +6xy-3y² +18y. (a) Show that f has…

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Q: r5 √2 (2x² – 3x)dx

A: ∫25(2x^2-3x)dx  ∫252 x2dx -∫253xdx=2∫25x2dx-3∫25xdx =by formula∫xndx= xn+1/n+1

Q: Iteration Method Solve for the root of f(x) = 5x² – 3x - 1 where x₁ = −4 -4 - 3 Solve for the root…

A: The equation in the form f(x)=0 is called a transcendental equation. The solution of the equation is…

Q: S. (22² 2. 2 (2x² – 3x) dx

A: ∫25 2x2-3x Apply the Sum Rule:    ∫f(x)±g(x)dx=∫f(x)dx±∫g(x)dx =∫252x2dx-∫253xdx

Q: Suppose that u € C² (R²) and u(x, y) = 0 everywhere on the boundary of the square ((x,y): 0≤x≤ R,0 ≤…

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Q: Complete the proof: If A≤B and B≤C, then ACCn(transitive property for set in inclusion) Need to…

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Q: Find the Fourier Series of the given periodic function. f(0) = {-1, if -n≤t<0 if if Ost<if(t+ 2n) =…

A: The given function is                               f(t)=4,        if -π≤t&lt;0-1,    if  0≤t&lt;π;…

Q: For the function f(x, y) = -xy2, find the solution from x = 0 to x = 1 with an increment of 0.2 by…

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Q: 5. Find a function u(r, 8) that is harmonic outside the unit disk, equals f(0) = 2 sin(30) + 4 cos…

A: In the given problem we used the fact that f is harmonic on the unit circle, and using the…

Q: Diagonalize A = 12 0 2 1 0 00 - 3 and compute A2019

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Q: 2 od So (x + 2)²0 pidal method dx for n=4 is equal to Blank 1 (use 2 decimal places with proper…

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Q: For the function f(x, y) = −xy2, find the solution from x = 0 to x = 1 with an increment of 0.2 by…

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Q: y" - 3y' + 2y = 2x² + ex + 2xe* + 4e³x

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Q: Solve the DE sinx siny dx + cosx cosy dy = 0 by separation of variables. (A) cos y sin x =C sin y B…

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Q: Which of the following statements is/are true about non-Euclidean geometries? I. In non-Euclidean…

A: To find the statements which is/are true about non-Euclidean geometries.

Q: Let X be a set. Let P be a set of subsets of X such that: if A and B are distinct elements of P,…

A: This is a question of Relation.

Q: x + 2 Determine the case of the following proper rational function after simplification: (x² – 4)(x³…

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Q: If A is a group and B is a subgroup of A. Prove that the right cosets of B partitions A

A: Given : A be any group and B be any subgroup of A. To prove : The right cosets of B partitions A.

Q: Show that there are no Boolean lattices with cardinality 5.

A: We will use the fact that the cardinality of a finite boolean lattice is always power of 2 ,to…

Q: Solve the systems of equation by graphing a) 1 y = -x-3 }=;*-1 10 8 6 4 2+ -10 -8 -6 -4 -2 -2 -4 -6…

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Q: 1. Consider the curve F(x, y) = 0. Show that if F has continuous second derivatives, then a formula…

A: We will use chain rule of partial derivative  If F is a function of  two independent variables x and…

Q: block of ice in the shape of a right circular cone is melting in su both its height h and its radius…

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Q: Setup the iterated double integral that gives the volume of the following solid. Correctly identify…

A: Solution

Q: Prove that Define functions f(x) and g(x) as follows: 2 2 f(x) = 7/7 S e-tedt, g(x) = ²/1/²0 L…

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Q: 5. Let V be a vector space over C and let T: V → V be a linear transformation. (a) Give the…

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Q: Solve the problem using Separation of Variables. Transform the solution into Explicit Form after…

A: Given :  The initial value problem is ;   y' = y(2-y) ,  y(0) = 3 To find :  The solution of given…

Q: (e) S (s² + a²) (s²-b²)

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Q: Numerical Differentiation: f(x) = sin x - x³ + 1 2. Find f(3.1) and step size h = 0.5 and 0.25

A: We know the forward differentiation formula is given by, f'(x) = {f(x+h) - f(x)}/h. Now, we will use…

Q: Let H be a Hilbert space, Mc H a convex subset, and (x₁) a sequence in M such that ||x₁|d, where d =…

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Q: a When reduced to a linear DE of order one in z, the Bernoulli's equation dx becomes dz A + z( − 1)…

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Q: Find the maximum and minimum values of the function f(x, y, z)= 3x - y - 3z subject to the…

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Q: A metal sphere cools from 80°C to 70°C in 5 minutes. How much more time (in minutes) will it take to…

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Q: Given f(x)=4x+1 and g(x)= x²+x-3: Use the cylindrical shell method to determine the volume of solid…

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Q: What is the DE of the family of parabolas having their vertices at the origin and their foci on the…

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Q: Let X be a set. Let P be a set of subsets of X such that: • Ø & P; the union of all sets A € Pis X.…

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Q: In a population model of cod, individuals are divided into newborns (0-1 year) and adults(1+ years).…

A: Given: Population model of cod To find: a) Leslie matrix b) Normalized eigenvector c) Percentage of…

Q: k 21. The following differential equation describes an electrical circuit with I the current at time…

A: The solution is given as

Q: Determine the general parametric solution of the following Lagrange and Clairaut differential…

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Q: Q/15 y = sin(x) = ² (4) y = 3/2 sin(x) cos(x) Prove that

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Q: Estimate the integral 6.8 [..* ƒ(x) dx using the best combination of the trapezoidal rules, Simpson…

A: For x=0 to x=0.9 we apply Simpson 3/8 rule For x=1.7 to x=3.1 we apply trapezoidal rule For x=3.8 to…

Q: What is the area of one petal of the curve r = sin 30 ? AA= sq. units A-3 sq. units B. C. A = π sq.…

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Q: جس دن ہی جا U 0 0 0 1 0 0 1 0 0 +2000 0 0 0 0 0 -1 0 +1000 0 0 0 0 0 0 -1 c. Solve the system of…

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Q: Let A and B be square matrices of same order. Prov nomials of AB and BA are same. Do AB and BA have

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Q: 6. Suppose you have 105 blocks. You want to stack up all the blocks so that each row has one less…

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Q: Find the volume of the region under the surface z = corners (0, 0, 0), (6, 0, 0) and (0, 3, 0). 824…

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