- Calculate Find the arc length of r(t) = (t² + 1,4t³+3), -1≤t≤0
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A: Note: We'll answer the first question since the exact one isn't specified. Please submit a new…
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A: Introduction: Matrix multiplication is divided into two types: Scalar Matrix Multiplication, in…
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A: Please see the attachment
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A: We have to solve given problems:
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A: Sol
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A: The algorithm are shown as,
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A: Given f(x,y)=2x+4y we have to find the absolute maximum and minimum with in the domain x2+y2≤4.
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A: We will use the fact that the angles at any vertex in tiling must add to 360°.
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A: Here we use simple method which is used to find deviation
Q: Q3: Answer the following: a) Use Cauchy-Riemann equations to test whether f(z) is analytic. Here…
A: Here given function fz=z+iRez-eizorfz=z+iRez-cosz-isinz .......1 Now consider z=x+iy Then…
Q: 10) Find the length of the curve r(t) = (2 sin t, 5t + 1, 2 cos t), -10 ≤ t ≤ 10 $200) il mononut…
A: Introduction: The formula for the length of the curve r(t)=(x(t),y(t),z(t)) is given by,…
Q: 3. Compute the tangent plane at u = 0 and v=0.
A: Introduction: The formula of the tangent plane of the function f(x,y) at the point a,b is given by,…
Q: 74 2. C = x
A: Given profit functions P=-0.2x2+8x-76 .............. (1) and P=-0.1x2+4x-10…
Q: Q1: Find the general solution of the following equation. ỹ + 2y + y = cos²x
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Q: 3. Minimize: Z = 40X₁ + 80X2 + 50X3 Subject to: X₁ + 2X₂ + 3X3 ≥ 18 X₁ + 4X₂ + X3 ≥ 60 2Y 6Y A. Y…
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A: Introduction: Sets are the most important part of modern algebra. Many complex scenarios can be…
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A: Introduction: A differential equation is an equation that contains the derivative of an unknown…
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A: When n=2 Then T(n)=2=2log2 So it is true for n=2
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A: (A)
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Q: How to solve Lagrangian function
A: To find: the method of solving the Lagrangian function.
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A: As per the question we are given an initial value problem as : -d2u/dx2 = f With initial condition :…
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A: Given: f=sinxycosyzcotxz To find: fzyx
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Q: Find values for the the entries in the first matrix to satisfy this equation: 0 0 5 -10 -4 7 0 0 -1…
A: We have to find the entries of the first matrix satisfying the given matrix equation. Let us denote…
Q: stretches a spring 8 feet and an impre <∞o. If the weight is released from re ected, then
A: Given that, w = 32 lb Then, m = wg = 3232 = 1⇒m = 1andk = w8 = 328 = 4⇒k =4
Q: -4 4 Consider the system Ax = b where A = A 16 -16 basis for the null space of A is given by {]}…
A: Here given 'X' is not a particular solution because this 'X' does not satisfy the equation.
Q: An artist can complete 11 drawings each month. Currently her portfolio contains 50 drawings. How…
A: Given: An artist can complete 11 drawings each month and her portfolio contains 50 drawings. To…
Q: 7. Given the function f(x, y, z) = x² + y² + z² + xy + xz, find the gradient at P(1,2,1).
A: Must Know : Gradient function is given by ∇f=∂f∂xi+∂f∂yj+∂f∂zkGiven : f(x,y,z)=x2+y2+z2+xy+xz…
Q: (A) Find the integration factor of the non exact differential equation ev (x² + +1]dx + ( +2y dy=0…
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Q: * :The implicit derivative (dy/dx) of (f(x, y) = y² — x² — sin (xy)) 2x+xcos(xy) 2y-ycos(xy)…
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Q: Calculate the following commutators: (a) [0₂, 06]; (b) [O₁, O₂]. The procedure is to calculate [A,…
A: From the above details we have,
Q: 4 Consider the system Ax = b where A = -4 16 16] and b = [1].4 A basis for the null space of A is…
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Q: solve the following linear programming problem by applying the simplex method to the dual problem…
A: Let us solve the given LPP using Dual simplex method in the next steps.
Q: 6. Let f(r) be a function such that: | ƒ(−1)| ƒ'(−1) | ƒ"(-1) | ƒ""(-1) | ƒ(4) (-1) | ƒ(5)(-1)…
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Q: Prove that every interval graph is a chordal graph.
A: As per the question we have to explain that interval graphs and chordal graphs are equivalent to…
Q: Suppose x represents the number of tons produced daily of interior paints and y represents the…
A: Here we firstly take the total quantity of M1 then try to find the equation.
Q: 2. (2x + 1)²y" − 6(2x + 1)y' + 16y = 8(2x + 1)²
A: We have to find the solution to the given differential equation.
Q: Perform the indicated operations. Leave the result in polar form. [50(cos 236° + j sin 236°)][2(cos…
A:
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