Determine the validity of the following "If 7<4 or 7 is a prime number" "7 is not less than 4" Conclusion:7 is a prime number

Q: -1 3. Show that sin-¹x = tan X √1-x² if |x| < 1.

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Q: 5 Give an example of a sequence of continuous real-valued functions f₁, f2,... on [0, 1] and a…

A: It is not uniformly convergent.

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

Q: (b) Find the equation of the sphere in R³ that has the diameter from A(1, 2, -1) to B(5,-2,0).

A: Part (b):- Given co-ordinates of diameter are  A1, 2, -1   to   B5, -2,  0.

Q: 1. Apply the the model function Gauss-Newton method to the least squares problem using xit x2 + t…

A: Given below clear explanation

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Q: y″” = 8(t — 5), y(0) = y′ (0) = y” (0) = 0, where & is impulse function.

A: Given : y'''= δt-5    ,  y0=y'0=y"0=0 To Find : Solution by Laplace transformation .

Q: A force is specified by the vector F = [(-170)i + (120)j + (-80)k] N. Calculate the angles made by F…

A: Sol:- For positive x -axis:- Vector = (1,0,0) &amp; GIVEN F = (-170, 120, -80) -170120-80,…

Q: 1345×5788

A: We need to find 1345×5788

Q: Riley found a receipt for a pair of jeans for $123.87 $ ⁢ 123.87 , tax included. If the sales tax…

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Q: Od. The function f: [0,00)→ R given by f(x)=x¹/2 is Lipschitz. e. The function f: [0,∞) → R given by…

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A: Using RK-4 method formula we can find the value of y(1) =6.201

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Q: (A) If the standard deviation of Set 1 is larger than Set 2, the variance of Set 1 is also larger…

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Q: Force polygon. Truss. Find the forces in the system of two rods (truss) in the figure, where |p] =…

A: To find- Find the forces in the system of two rods (truss) in the figure, where p = 1000 nt.

Q: A graph of a piecewise defined function is given. -6 -5 -4 -3 -2 -1 f(x) = X I y 6 5 4 3 if x 2 A…

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Q: Solve the following linear differential equation system, i.e., find y₂(t). dyn (1) dt dyż (t) dt =…

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Q: Variable Separable Find the general solution of the given differential equations. A. (xy² − 4x)dx +…

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Q: Q27. The value of lim x-0 (1+x)5-e5x+sin x² x2 is? →

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Q: Find the maximizer of f(x, y) = x² + y² subject to 2x + y ≤2, z ≥ 0 and y ≥ 0.

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Q: 2. On a given line segment describe a compass/straight edge construction of a perpendicular…

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Q: *4. Prove that 1³ +2³+ ... + n² = n²(n+1)² for all ne N.

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A: Given : ∂2z∂x2+∂2z∂y2=e-x cosy To Find : solution of the Equation

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A: (a) Construct a tree diagram for the above information.

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Q: Example 19.18. Find the cube i Argund diagram A TutorBin

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Q: Variable Separable Find the general solution of the given differential equations. B. x sin sin x edx…

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Q: Make truth table or p imply q

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Q: Question 2 What is the degree of the differential equation 2³ 4² + x² ( 4 ) ³ + x²y = sin æ 3 3 By…

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Q: 1 million is equal to how much lakh?

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Q: 2. 3) Suppose the demand function of a candy business (Qa) is given by Qa = 1000 e-0.2P where: P =…

A: Solution :- First find the marginal revenue (MR) and marginal cost (MC)Here ,Qd=1000e-0.2PMR =…

Q: Problem 3. In R2, the weighted inner product is given by =ar1/1 + bx₂y/2 where a and b are positive.…

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Q: Q1. Given the nonlinear equation x = Cos ¹(x²), find the: athod

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