Find the inverse of the following matrix:

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A: We have to Use double integration to find the volume of the solid bounded by the cylinder x2 + y2 =…

Q: Consider the base 2 (binary) expansion of e, i.e. the unique expression e = eo + e,2 + e22² + …·+…

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Q: Solve the De as follows via Laplace transformations: 18y" + 27y" + 8y' + 12y = 0; y(0) = 19/12,…

A: The solution is given as

Q: 7. Let A be a 32-by-48 real matrix. Which of the following matrices is always symmetric? (a) A+ A…

A: As per the company rule, we are supposed to solve one problem from a set of multiple problems.…

Q: 9. x(t) = (t? + 4)e2t – e- cos t %3D

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Q: II. SYSTEM OF LINEAR EQUATIONS OF TWO VARIABLES A. Describe the graph of the system of linear…

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Q: Integrate f(x.y) = x - 7y over the curve C: x +y? = 64 in the first quadrant from (0.8) to (/32.32).…

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Q: 3. (a) Find the 5th order Taylor polynomial about a = 7 for sin x. (b) Use this Taylor polynomial to…

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Q: Find div F and curl F if F(x, y, z) = 8y'2ºi – 17x*2°j – 4xy*k. div F= curl F=

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Q: 1. In this problem, you will prove the following Theorem: r E C if and only if there exists a…

A: (a.) To prove: x∈Ci if and only if xi∈0,2. (b.) To prove: x∈C if and only if there exists a ternary…

Q: Find the linear approximation to h(y) = Sin(y+ 1) at y =0 Use the linear approximation to…

A: This is a problem of linear approximation.

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Q: 3n4 Consider the series 6n4 + 2 n=1 Based on the Divergence Test, does this series Diverge?…

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Q: Give/Describe a generator, a directrix and the rulings of the cylinder x = cos z. Draw a sketch of…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: The distance to stop a certain vehicle varies directly with the square of its speed. It takes 320…

A: If a is directly proportional to b then a∝b If a is inversely proportional to b then a∝1b To convert…

Q: Find a Maclaurin series expansion for f(x) = e*. Input the values of the highlighted letters. f(x) =…

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Q: Let code C be C = {01011010, 11000001, 01010101}. Up to how many errors can the code C detect? a. 2…

A: Let Code C be C = {01011010, 11000001, 01010101} We have to find upto how many errors can the code C…

Q: Suppose f is a differential function of x and y, and g(r, s) = f(4r - s, s- 7r). Use the table of…

A: The given function is g(r,s)=f(4r-s,s2-7r).....................(i) Where f is the differentiable…

Q: (v) The pendulum/spring model mr" + 4x + x = 0 is critically damped if... (а) т 3D 0- (c) m = 4 (d)…

A: The model: ax''+bx'+cx=0 is critically damped if b=4ac.

Q: 34+34 + 3% + 3y = 에 + 3y =D 이 2 dx dx dx

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Q: 3. The following matrices are elementary matrices except (a) 1 0 1 0 (b) 5 1 (3 (c) 1 (d) -3 -

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Q: Let 0 3 Solve the initial value problemm +4 = f(1) with the initial conditions /(0) = 0 and (0) = 2.

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Q: 1 ydx 2 5 (wdy – ydr). P = xdy - C C

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Q: 2. p → 9 sVr r → -9 .: svt

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Q: Evaluate the line integral / (6x + 2y)dx + (x – 7y)dy along the T curve C : x = 10 cos t, y = 20 sin…

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Q: 1 6. Given that A = -1 and B = Which of these matrices equal (AB)'? -2 0 (c) 0. (a) 0. (b) (d) -2 -2…

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Q: Consider the following logistic equation for t20 Sketch the direction field, draw the solution curve…

A: given differential equation P't=0.05P-0.002P2 with initial condition P0=10 , P0=20 , P0=35 claim-…

Q: Consider the differential equation (x +y)dx - xdy=0 with the initial condition that y=1 when x = 1.

A: Introduction: The Runge-Kutta fourth order method is a method of approximation for an initial value…

Q: 6. Evaluate * d³y__4d²y_ _169dy 3. + 676y = 0 dx3 dx² dx y = Cje-13x + Cze13x + C3e** y = (C, –…

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Q: ceb A.1-R be funchion suchtheb fox)=x2 prove that fis R-integYable andelermine the Valde of

A: Introduction: The Riemann Integral was the first exact formulation of the integral of a function on…

Q: 6. Prove that ||4| , 14. , |4. are matrix norms.

A: This is the problem of functional analysis.

Q: 8 2. 5s (s²+4).

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Q: 1. Evaluate the following limit using two different methods. Explain your working carefully for each…

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Q: 1. What graph in Cn - e for any edge e, is isomorphic to? EXPLAIN

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 2. (a) Find the exact length of the curve (i) r = 1+ sin 0, 0<0< 2ñ, (ii) r = 2(1+ sin 0), 0<0< 2n.…

A: 2. (a) (i) Consider the given polar curve, r=1+sinθ, where 0≤θ≤2π The Arc Length of a polar curve is…

Q: What is the condition to satisfy to determine the end point of the approximation of values in the…

A: Q1. We have to determine the condition to satisfy to determine the end point of the approximation of…

Q: Determine the number of non-negative integer solutions to the equation xi + x2 + ¤3 +x4 + x5 = 8

A: This problem is based on a simple formula which is used to count the number of non negative integral…

Q: d³ y 3 dx3 d²y dy + 3– dx² + 3- + 3y = 0 dx y = C1e¯* + C2etx + C3e¬ix y = Ce-* + (C2 + C3x)e¬ix O…

A: Solution

Q: Find the unique root of the function 2x - 5x? + 3x – 1 = 0 in the interval [1,2] using Newton's…

A: Newton-Raphson method uses the formula: xn+1=xn-f(xn)f'(xn) to perform the iterations and to…

Q: yll – 3y' – 4y = 30e**

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Q: H is a solid that is bounded in the upper part of the cone z = /3x² + 3y2 , below by the xy-plane,…

A: Let H be a solid region that is bounded above by Cone z=3x2+3y2 and bounded below by x-y plane, and…

Q: top of a cliff from the point Q on the grour tef th

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Q: Find V × (V × F) if F(r, y, z) = xyj+ 6xyz k.

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Q: (i) The first-order differential equation y + y = x is... (a) linear. (b) separable (c) power…

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Q: Let X be a set and AC X a subset of X. The characteristic function XA is a function with domain X…

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Q: Find V· (V × F) if F(x,y, z) = 7 sin xi + 9 cos(6x – 7y)j+ 6zk. V·(V × F)

A: The solution is given as

Q: Find the arc length Lof the graph of r(t). r(t) = t i + t j+ Vor k, 3 <t < 4

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Q: Find the Taylor series for f centered at 9 if fln)(9) = (-1)"n! 7^(n + 1) (-1)" 7" (n +1) (x - 9)" n…

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Q: Specify which of the following sequences converge n en bn n2 n + V5 an = 5 Cn = n an and bn the…

A: We have to check the following sequences converge or not ; (i) an = 5 - 1nn (ii) bn = enn2 (iii) cn…