there respectively bases. Then for linear transformations t: V→ V' and s:

Q: OUse Taylor series method to comp ute x(0.2) and given that d'x dx -3-4x 0 „x (0) = 1,-(0) = 2 dt de…

A:

Q: Two infinitely long parallel lines are a distance a apart, and a ncedle of length ! (! < a) is…

A: Solution :-

Q: TRUE OR FALSE 7. When proving, the proposition that needs to be shown may be used as a…

A: 7 False 8 True

Q: Theorem 2. Let G, and G, be two groups. Let G = G,x G2 H = {(a,e,)\a e G} = G, x{e,} %3D and H, =…

A:

Q: ination method to solve the equation? x + 4y – z = -5 x + y- 6z = -12 3x – y - z = 4

A: System of Linear equations

Q: (b) Calculate sin(arccos()) exactly, i.e. without using a calculator.

A:

Q: Hiwg Solve U tt= 16 Uxx h= k cat) = U (5,t)20 u (5,t). u(X, o)= X (5-X

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Q: 3. Find the angle of the largest right circular cone which can be inscribed in a sphere of radius 9…

A: Let the radius of the cone = r  height of the con   x = √(R^2 – r^2) and h=x+R , h is height of the…

Q: 20 Q4)(a) Find the maximum eigen value for the system A = with initial vector x' (0) = (0.0299 1

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Q: Write the dual problem of the following minimum problem. Minimize C= 3x1 + 4x2 subject to the…

A: We use the definition of conversion from primal to dual to solve this problem.

Q: find the Fourier series of the following equation -1< x < 0 0 < x < 1 1< x < 3 f (x) = 1

A: Start by computing the Fourier coefficients: a0(f)=∫-13f(x)dx        =∫-10(-x)dx + ∫01xdx + ∫131.dx…

Q: 2. Using Gaussian Elimination a.3x + y - z = 1 b.x - у+z%3D-3 c.2x + y +z= 0

A: Solution :-

Q: a) RDL Corporation has one small plant located on the outskirts of Manila. Its production is limited…

A: First, we have to set up the linear programming model. Then, we can proceed further.

Q: Read the following items carefully. Write-by-hand your solutions and/or proofs in short bond papers…

A: Solution

Q: 6. (a) Carefully sketch (and shade) the (finite) region R in the first quadrant which is bounded…

A: We have to solve given Questions.

Q: I. Write T if the given statement is true with respect to the underlined term(s); otherwise, write…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 6. (a) Carefully sketch (and shade) the (finite) region R in the first quadrant which is bounded…

A: Solution

Q: Give the VALUE only. No need to include the unit of measurement in you answer. DO NOT include spaces…

A: Given that, Increasing rate of plant cell is dydt=(12-t)-2 Now we get, y =∫(12-t)-2dt +c y =-…

Q: . Find the maximum value of f(x) = In(x – In x) on the interval -sxs. Show all steps .

A:

Q: 4. Consider the subspace V of R' given by 1 3 V = span (a) Find an orthonormal basis for the…

A: Solution:-

Q: II. Let U = R = {x €R|x³ – 14x³ - 1={x €R]x* 2}. + 45x = Find the following. All infinite sets…

A: According to our guidelines we can do at most 3 subpart at a time please post remaining as a fresh…

Q: Use calculus to sketch the graph of the given function. (a) f(x) = 3x* – 4x³ %3D | (b) f(x) = 3xª –…

A: Consider the given function, fx=2x3+6x2+6x+2 Find the first derivative,…

Q: part b

A:

Q: 1. Specify the order of the zero z = 0 of the following functions: a) f(2) = z²(e* – 1), b) f(2) =…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Find the Laplace Transform of the following using the definition via integration: 8. F(t) = 5 sin 3t

A: Solution:-

Q: 1. Let X = {1,2,3} with the topology 1={X,ø,{1,2},{2,3},{2}}. Verify whether X is regular or not.…

A:

Q: 3log; x (16x² – 6)1²dx =

A: It is known that ∫xndx=xn+1n+1+C, where C is the integration constant.

Q: 5 i 2. (-;-2) 3-2i

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Q: II. Let U = R I= {x €R|x° – 14x³ + 45x = 0 J= {x €R|x? 2}. Find the following. All infinite sets…

A: 1st find possible values of x in given sets and then find set after using given operation  Note :…

Q: 3(1+6) – log(5+ sin(VI+yi)) +4(z + 2)-3 Draw a parse tree for

A: Solution: To address this articulation we present three new unary administrators. The logarithm work…

Q: If A is an  m × n matrix with entries in the field F, then                   row rank (A) = column…

A:

Q: 7. (a) Shade the region in the complex plane defined by {z€C: |z+2+ 2레 < 2} . (b) Shade the region…

A: Solution : A) Z=x+iy z+2+2i=2x+iy+2+2i=2(x+2)+i(y+2)=2  squring both side(x+2)2+(y+2)2=4 equation…

Q: i 3-2i.

A:

Q: Create an augmented matrix for the system. Then, solve the system using the Gauss Jordan elimination…

A: Solution:-

Q: Time (t) in seconds Distance (y) in cm 2 3 4 7 8 15 20 15 0 -25 -60 -105 -160

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Q: Find and graph all the roots in the complex plane. 3. (3+ 14)

A:

Q: If C is the constant of integation, and g(0) =1 then C=___ and g(-2) = ____

A:

Q: 1. Using Cramer's Rule а.2х + у —z%3D33 b.x + y+z= 1 с.X-2 у—3z%%34 |

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Q: 4. Let f:R→Rbe a function defined by f(x)=x for every xe X . Show that f is a continuous.

A:

Q: 4) Order of approximation for numerical integration methods Let f(x) = x?e-. Using u-substitution,…

A:

Q: Prove the statements: The difference of the squares of any two consecutive integers is odd.

A:

Q: The angle between the sides of a triangle 8 cm and 12 cm long is changing, causing the area to…

A: if the two sides of a triangle be 'a' and 'b' and angle between them be θ then area A=12abSinθ

Q: 8. (a) Let I= | $(1) dx where f(x) = 7x + 2 – /7x +2. Use Simpson's rule with four strips to…

A:

Q: Example 2: Find the Fourier series -1, f (x) = 1, f«) = - 1< x < 0 0 <x < 1

A:

Q: ovide an illustration of the statement "Every normal space need not be a ular space."

A:

Q: Evaluate the integral o dz where C is the circle |2| = 2. 22 + 9

A:

Q: Q3) Solve the following boundary value problem using finite difference method d`y y_dy 3 +2y =0 dx…

A:

Q: VI. Use Lagrange Multipliers to solve the following: Maximize f(x, y, z) = 4x + %3D subject to 2² +…

A: Let function F(x,y,z) subject to constrant g(x,y,z)=k Lagrangian L is L(x,y,z,λ)=f(x,y,z)-λ.g(x,y,z)…

Q: Show that the map t: V,(R) → V3(R) defined by 1(a, b) = (a + b, a- b, b) is a linear transformation.…

A:

Q: 3. When origin is shifted to (3,4) by translation of axes, find the transformed equation of 2x² +…

A: We have to solve given problems: