Find the centroid of the region bounded by the graphs of the functions y = 4 sin(x), y = 1 and x = and touching the origin. %3D The centroid is at (, y) where %3D

Q: (a) Suppose that a > and that the parabola with equation y = ax² +2 has vertex V. The parabola…

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Q: Use the Laplace transform to solve x'-2y'=1;r'+y-x=0;x(0)=y(0)=0

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Q: 2. Consider a natural cubic spline model with two knots at ci and c2 given by y = Bo + B1r+ B2(r -…

A: Given, spline model, y=β0+β1x+β2x-c13+β3x-c33+∈                         β2+β3=0  ,  β2c1+β3c2=0…

Q: Find the solution for the system of Linear equations using Gauss-Jordan Elimination of the augmented…

A: First, write into matrix form then find augmented matrix.

Q: Compute log r dr 1+x²

A: Solution is given below;

Q: Find the solution. (D2+4D+4)y=0; when x =0, y=1, y'=-1.

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Q: Give at least 3 examples of each type of matrices. 1. Idempotent Matrix

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Q: Find the volume of a cone with a base diameter of 8 ft and a height of 8 ft. Write the exact volume…

A: We use volume formula for cone.

Q: b) Let T : P1 –→P1 defined by T(ax + b) = (4a – 26)x + b – 2a. V = P1, (p(x), q(x)) = Lo…

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Q: nd all zeros of the polynomial function. Use the Rational Zero​ Theorem, Descartes's Rule of​ Signs,…

A: To find the zeros of the below polynomial fx=x4−16x3+50x2+152x+85

Q: 07 1. A continuous random variable X has cdf for x 1. (a) Determine the constants a and b. a=0;b=1…

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Q: Suppose that f(I,2) =3 and that the directional derivative of fat point (1,2) in the direction of…

A: Thr given problem is to estimate the value of f(1.1,2.1) with given values f(1,2)=3 and directional…

Q: B. Use Linearity, Shifting and change of scale propertie 1. f(t) = (1- te-t)3 2. f(t) =-e-3t sin4t +…

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Q: 3. This problem is about set addition and subspaces. Let di and d2 = span{di}, %3D 1 U = span{d2}.…

A: Sum of two subspace

Q: Find all solutions of the system of congruences *= 6 mod 7 * =1 mod 5 * =1 mod 3.

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Q: 15. Consider the diagram. Circle Q has a radius of 2 and Circle T has a radius of 7. Use…

A: Given: Concept: Every circle is identicle therefore is similar.

Q: 2. I3D X-に-A

A: To find: Area of the shaded region in adjoining figure.

Q: 5. Compute sin a e + 3e¬z

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Q: QUESTION 6 Show that U(14) and U(18) are isomorphic..

A: We have to show that the group U(14) and U(18) are isomorphic.

Q: 3. Solve: a. 3*-1 - 2*+2 = 0 b. 22x + 2*+1 – 23 = 0

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Q: x³ – x +1

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Q: Problem 5. Find all primes p such that 1+p· 2P is a perfect square.

A: Prime number : A prime number is a natural number greater than 1 that is not a product of two…

Q: Use the bisection method to find p3 for f(x) = x – 16 * on [0, 1] . 3 4 4

A: To use the bisection method to find p3.

Q: (1) A dietitian wishes to plan a meal around three foods. The percentages of the daily requirements…

A: Please find attached the solution of the given problem in the image file. We have chosen the…

Q: Find the solution. (D³ + 6D² + 11D + 6)y = 0 - 3x B y = c,xe"+c,e – 3x -3x Dy=c,e-+cze+cze*

A: 21 Given differential equation is D3+6D2+11D+6y=0. We have to find the general solution of the given…

Q: Use the shell method to set up and evaluate the integral that gives the volume of the solid…

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Q: Fill in with the missing integers given that each of the matrices below is diagonalizable. (a) If A…

A: This question related to diagonalizable matrix .

Q: Solve the variational problem 8 Ix (y ? +2y (x+y)] dx = 0, given y (1) = y (2) = 0. %3D

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Q: Calculate the work done by the force field F (x, y, z) = (x + y) i + (y - z) j + z² k to move a…

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Q: 4. Show that V2 ¢ Q(V3) and Q(/2, v3) = Q(/2+v3). Hence find the mmp of V2+ V3 over Q.

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Q: QUESTION 3 Show that if G is Abelian then in the mapping :G→G given by o(x) = xis an isomorphism.

A: Given that the mapping phi : G→G given by phi(x) = x ^ - 1 We have to Prove that given group is an…

Q: (a) [-1 2 -2 - [10] -2

A: The given matrix is  -12-21-12-21-10 multiply the first two matrices

Q: Use the Laplace transform to solve x'-2y'=1;x'+y-x=0;x(0)=y(0)=0

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Q: Question 14 Find the solution. (D3 - 3D - 2)y =0; when x =0, y=0, y' = 9, y" = 0. A y = (-1+…

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Q: Find the volume of the parallelepiped with the given vertices. (0, 0, 0), (0, 4, 0), (-3, 0, 0),…

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Q: 4. Explain why pentagons cannot form a regular tessellation.

A: To explain why pentagons cannot form a regular tessellation. Firstly, we define what is a regular…

Q: 7. For the following function: f (x) 2 log3 (2x + 3) – 4 state: a. the transformations applied to…

A: a) To find domain, intercepts, and asymptotes of the given function, and to draw its graph.…

Q: Calculate the inverse: s2 +1 L-1 (s – 1)(s + 1)(s – 2)J

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Q1

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Q: 1. Using Three point Forward difference, Backward difference, Central difference formula numerical…

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Q: Construct a field F of cardinality 16 and find a generator of the

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Q: Use the fact that the volume of a tetrahedron with adjacent edges giver by the vectors u, v and w…

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Q: 1. The Saints softball team has 3 different colored jerseys (black, orange, and white), three…

A: Given : The team has 3 different colored jerseys,  three different colored pants, and two different…

Q: functions identical?

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Q: Evaluate Z in polar form In [cot(4e13)] Z = j4

A: The given problem is evaluate and simplify the given complex expression and express in the polar…

Q: Solve 6x^5 - 41x4 + 97x3 - 97x² + 41x -6 =0 Solve by reciprocal equation.

A: if an equation remain unaltered on unchanging x to 1/x it is called a reciprocal equation a…

Q: y - 3y + 2y = 3e* + 2e2*

A: To solve the given Differential equation.

Q: If 3 Americans, 4 British people and 2 French people are to be seated in a row, how many seating…

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Q: ad been his friends and fellow Royalists, Sir Charles Lu pom, however, he was one day handed the…

A: Mark the third letter after each punctuation as follows Write the letters…

Q: Example 1.3.1 Check lim inf[0, n/(n + 1)) = lim sup[0, n/(n + 1)) = [0, 1). n-00 n-00 We can now…

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