21. If A = |−2 0 a. b. C. d. 1-3 -1 -21 -1 2 - 21 11 -2 121 2 18 2/1 -1 1-2 외 0 | What is the cofactor of the first row, second column element? -11

Q: √√x-2 (x² − x + 1)² - Q.3 If f(x) = - Find (a) The intervals on which f is increasing, (b) The…

A: note : As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly…

Q: The non-exact differential...(x² + y²)dx + (3xy2 + 2xy + x³)dy = 0 can be reduced to exact after…

A: We need to determine the integrating factor for the differential equation: x2+y2dx+3xy2+2xy+x3dy=0…

Q: 4. The velocity of a body moving through a resisting medium with resistance proportional to the…

A: given system dvdt=-0.003 v2  , v0=v0 (a) use separation of variables dvdt=-0.003 v2⇒dvv2=-0.003 dt…

Q: The indicated function y(x) is a solution of the given differential equation. Use reduction of order…

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Q: Find the gradient of the function at the given point. f(x, y) = 2x + 5y² +6, (3, 1) Vf(3, 1) =

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Q: what is the degree of the polynomial function y = x(x-1)3(x+1)2

A: So the polynomial is y=x(x-1)3(x+1)2  On simplfying y= x(x3-1-3x2+3x)(x2+2x+1)  Adding the Highest…

Q: 2. GIVEN: f(z) = 2z - 5,0 ≤ z < 10 a) Find the FOURIER SERIES of the ODD extension of the given…

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Q: The solution of the following linear differential equation : – (cosx)y + 2xe”si sản x is: dx y =…

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Q: Given that 2r + 1 = sin 0. (a) Test the symmetries of the above equation. (b) Construct a table for…

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Q: 1. Find the domain of the vector function r(t) =< ln(t + 2), 1 1 - 1² 21 √₁²-4 V

A: Basic rule  of finding  the domain of a vector  valued function is to consider  every component…

Q: The standard form of the following linear differential equation dy sin x = (cos x)y + xsin x + 2 is:…

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Q: Example 1: Find the root(s) of the function f(x)=x²-2.5x+1.5625 to s=1x10-6. Solution: Check the…

A: Given: f(x)=x2-2.5x+1.5625 To find: Root of the given function using Newton-Raphson method.

Q: 3. x (x^2 In y - 1) dy + 2y dx = 0; y(3) = 4. y(x)=2. Determine the particular solution.

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Q: Evaluate O In O Divergent ○ In 11 ○ 6 In 11 6 dz 2²-25

A: In this question,  we have to evaluate the integral  ∫6∞6x2-25dx.

Q: 3/ Given a vector x, show that the infinity norm defined by || X 1100 = max | X₁ Do Ksign

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Q: Find the solution of the given initial value problem. y (4) 10y""+ 25y" = 0; y(1) = 10 + e³, y′(1) =…

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Q: Integration of x^x dx

A: Introduction: Indefinite integration is to determine the anti-derivative of the integrand.…

Q: E be a subset of a normed space X and Y = Span E and a € X. Show that Let a € Ỹ if and only if f(a)…

A: To find: a∈Y¯, and f(a) = 0 whenever f∈Xι and f is 0 everywhere on E.

Q: 3. Solve the differential equation x² (²2 + 2xy-15y² = 0. dx dogonde pogadacg9P on oyigo aos pe o…

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Q: da Evaluate: S 2√√x+3 ○1-3 ln (7/5) 2-3 ln(7/5) 2 E

A: The given integral is ∫14dx2x+3 substitute  x=u12xdx=dudx=2xdudx=2udu x=uwhen x= 1, u =1x=4, u=2…

Q: A B 0 D where A, B, D are 2 x 2 matrices and 0 is the 2 × 2 zero matrix. Prove that det(M) det (A)…

A: Given :                 M=AB0D  where A, B , D are 2×2matrices                    and 0 is the 2×2…

Q: 3xy ƒ(x,y) = 4x²+2y² a b) Find the domain of f. Show that the limit does not exist. lim f(x,y) (x,y)…

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Q: The following differential equation x²dy = (exy-1)dx is linear. O True O False

A: x2 dy = (ex y -1)dx Now,  dydx = exy-1x2 So, dydx = exx2y-1x2 ⇒ dydx - exx2y=-1x2 So, we can express…

Q: Give an example to show that X' need not be separable if X is separable.

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Q: Consider the two differential equations: I: (4x + 3y²)dx + 2xydy = 0 II: (x² + 2x) dx + (In x² −…

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Q: 2x1-x-4x₁x₂ = 0 -x + 2x3-4x₁x₂ +10x₁ = 5

A: We need to solve the following system of equations using a numerical method.…

Q: Given a vector x, show that the infinity norm defined by |||x|| = max|x|, satisfies the triangular…

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Q: 10. Find the Laplace transform of t³ + 2t - 4. a. b. C. d. 3 ||0|0| + + + + ~~~~~~~~ - - - - 5…

A: Given function is f(t) = t3 + 2t - 4

Q: 1. (A population model) Consider the differential equation dP dt -P(2P-1)(P-3) where P(t) is the…

A: Given differential equation is dPdt=19P(2P-1)(P-3), where P(t) is the population (in thousands) at…

Q: Find the general solution of the following differential equation. y" + 13y' + 42y = 0 NOTE: Use c₁…

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Q: 7. A capsule in the form of a cylinder of length t cm with hemisphere of radius r cm at two ends is…

A: A capsule in the form of a cylinder of length t cm with a hemisphere of radius r сm at two ends is…

Q: 7. The solution z = (x, y) to the equation in Problem 6 is A. /1 (12.+ 1/3) 2 √3 B. (-12. ± 12³) +…

A: 7. Given equation is z2 + z + 1 = 0

Q: Question 1 function r(t) = (1¹ In 1, ¹23,-3e-³¹). a) Find the integral / r(t)dt. b) Find parametric…

A: Consider the curve which is described by the vector function r(t)=&lt;t4lnt, t-32, -3e-3t&gt;. Find…

Q: e) Calculate Fourier series of f(x) = x²₁ -π < x < ₁ p = 2π.

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Q: Find an equation of the plane tangent to the surface 5x² + 6y³ +5eªy − z = 4 at the point (0,…

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Q: 3. x' 1 √3 - (√'₁ x₁)x¹ (√₁²+) + 3 -t -1/ 3e

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Q: A y=1 x=y² B y=x² C (11) X=1 X (0,0) Region A is bounded by the parabola x = y², the line y = 1, and…

A: Given: Three regions A, B and C defined as: where region A is bounded by the parabola x=y2 and the…

Q: 8. Evaluate tan² (j0.78)

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Q: -[ A = solving the SVD is O [-10] O [10] O [0-1]¹ O [-1-1]¹ O [11]¹ O [01] 0 -1 4 0 For the above…

A: We have given that ,  A = 0-140 We need to find second column of the matrix U after solving the SVD.…

Q: Given the matrix 123 A = 1 -1 0 0 1 2 a) By using the elementary row operations transform (A|I3) ⇒…

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Q: Question a) b) Let f(x, y) = x³-4xy² x²-2y Find the first partial derivatives of f. Determine…

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Q: (a) (3) Let V be a vector space over some field F Let W be a subspace of a vector space V. Suppose…

A: It is given that V is a vector space over the field F. a) Suppose W is a subspace of a vector space…

Q: Question function r(t) = (1+ In 1, ¹3,-3e-3¹). Find the integral / r(t)dt. Consider the curve which…

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Q: 13. x = 1 + (y - 2)², x = 2

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Q: Set up the equation in solving volume of the solid generated when the area bounded by a = √y, x = 0,…

A: x=0 so y=0 and given y=3  V=  ∫  a to b (pi(f(y))^2)dy  Here a=0 , b=3

Q: 11. Evaluate L{sint cost}. a. (s^2+4) b. 1/(s^2+4) c. 1/(s^2+1) d. 1/(s^2 +1) öö

A: j

Q: 20 23 12 25 14 27

A: Given as,

Q: The shown figures are the Euler circuit. Identify their paths and enumerate their vertices.

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Q: Michael is directing Donny and Leo on where they should add the finishing touches on their magnum…

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Q: 1. GIVEN: (-1,0 ≤v<2 f(v) = 0,2 ≤v<4 (4v, 4 ≤v < 6 Calculate the FOURIER COSINE SERIES of the given…

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