Determine constants a,b and c such that the quadrature formula is exact for polynomials of highest possible degree. f f(x) dr≈ af(0) +bf(1) +cf(2) dx

Q: Fast pls solve this question correctly in 5 min pls I will give u like for sure Anu. 4x^(3)cos^(2)y…

A: Let us find the derivative of given function.

Q: Consider the Banach space C[0,1] of continuous functions on the interval [0,1] equipped with the…

A: The Banach space C[0,1] is the space of all continuous functions defined on the closed interval…

Q: Consider the telescoping series say so). Select one alternative: O The series has limit –1. O The…

A: The given telescoping series .We have to find the limit of the series.

Q: What was the original volume in liters? Enter your answer as a decimal to the 10th place, like this:…

A: From the gas law we know

Q: 6. Find the angle 0, 0 ≤ 0 ≤ π between the vectors u= -2 and v= - -2 2 M

A: Formula for the dot product

Q: Given p= "17 is an even number" and q="a dog is a mammal," which of the following symbols would…

A:

Q: 2. An Improper Integral. Find the antiderivative and show that the integral is convergent by…

A: We have, Putting Adding constant of IntegrationThus

Q: Find given t = ze², z = t4, and y = 2 + 6t. Write answer in terms of the independent variable. 100

A: Total differentiation formula: If

Q: Does the following series converge absolutely, converge conditionally, or diverge? 4 9 + 23 +1 33+1…

A: The given series,a)

Q: The payoff matrix for a game is 3 2 2 020 -30 2 Compute the expected payoffs of the game for the…

A:

Q: Problem 3 Use Mathematical Induction to prove that 1² + 3² + 5²+...+ (2n + 1)² = (n + 1)(2n + 1) (2n…

A: The following two steps are used to prove a statement P(n) by the principle of mathematical…

Q: +1 +2 Determine the value of 1-3 +3 +6 +1 +4 +4 +2 -4 +3 +5 -2 +2₁ +8 +3] +7 +4 +2 +2 -3 -3 +2 -5 -1…

A:

Q: f the order of a group G is p2q2 with p and q as distinct primes, then G is not simple.

A:

Q: A civil engineer plans to build an incline bridge over a river as shown. Villiers Steyn/Shutterstock…

A:

Q: Solve for y in terms of x. 4 16x + y = -Y = 17 3

A: Given equation is We have to solve for y in terms of x.

Q: Use the Divergence Theorem to evaluate / F. ds where and S is the boundary of the region defined by…

A: Ans S is the boundary of the region defined by .To Find: using divergence theorem.

Q: a) How many area codes were possible with this arrangement? How many telephone numbers does the…

A:

Q: Q5. Consider the following integral equation I = -dx 1+x Evaluate the integral by using the…

A: Given that ,Suppose   and    be  a  partition of the interval [0,1].Thus,

Q: 4. Solve the given differential equation using direct method and use the given initial conditions:…

A:

Q: Jane borrowed $500 and paid $525 in total fees on the loan for a sum of $1025 after rolling over the…

A: To calculate the APR (Annual Percentage Rate), we can use the formula:APR = (Interest / Principal) *…

Q: Differential Equations 3 The Shroud of Turin, which shows the negative image of the body of a man…

A:

Q: Show that the order of the group of automorphism of a finite group of  order n is a divisor of n !.

A: we have to show that the order of the group of automorphism of a finitegroup of order n is a divisor…

Q: K The angle of inclination from the base of skyscraper A to the top of skyscraper B is approximately…

A:

Q: 9.17. Find a 2x 2 matrix A whose characteristic polynomial is given by det(A - AI) = 2² + 32 +5.

A: Let A be 2×2 matrix,  then The trace of A is the sum of diagonal entries or sum of eigenvalues. The…

Q: Q.2- To the data given in the table below; X 0.75 y 0.8 2 1.3 X b+x Fit a Saturation-Growth-Rate…

A:

Q: Use Stoke's Theorem to evaluate / F. dr where F ` = ( e-⁹x - 7yz, e¯¹y + 7xz, e−²²) and C is the…

A:

Q: [-1, 1] aralığı üzerinde f(x) = sin() fonksiyonunu ele alınız. f(x) için æo = −1, x₁ = 0 and æ₂ = 1…

A: We now find lagrangian polynomial of the given function.

Q: (d) Use a graphing utility to graph the function in part (b) and verify the maximum volume from the…

A: An open box of maximum volume is to be made from a square piece of material, s = 36 centimeters on a…

Q: Solve the linear programming problem. Maximize and minimize P=7x+8y subject to x+y s3 x+3y s4 4x +…

A:

Q: Determine whether or not the given matrix A is diagonalizable. If it is, find a diagonalizing matrix…

A:

Q: Given the functions f(x) = x² - 7 and g(x) = 2 - x³, determine the value of f(g(2)) Given the…

A:

Q: nergy of the mass-spring system is given by the sum of the kinetic energy and the ial energy. In the…

A:

Q: If n be any given positive integer, show that the mapping f:C\index{0}\rightarrow{}C\index{0}…

A:

Q: If x € (0, 2) then compute ( f 2 7) ² dx. x x cos x-sin x

A:

Q: X'= -13 -17 -2 10 14 - 10 - 10 - 13 - 17 -2 10 14 2x₁ - 3t H 2 x; x₁ = e 2 Flicid 11 3 -2, X₂ = e²¹…

A: If  are the solution of Then it must satisfy the sytem.

Q: Use the Divergence Theorem to evaluate / F. ds where and S is the boundary of the sphere x² + y² +…

A: The Given function is , and the surface is  oriented by the outward normal.To Find: .

Q: - As a result of 600 observations made on a machine, it was seen that the machine was empty 120…

A: To determine if the number of samples is sufficient to achieve the desired sensitivity and…

Q: 9.21. The characteristic polynomial of a matrix A is p(2) = 2²-1-6. Find det (A³), Tr (A³), det…

A:

Q: Use the method of variation of parameters to find a particular solution of the following…

A: The given differential equation .Using the method of variation parameter we have to set up the…

Q: 1. Evaluate for the unknown variables. Show the step-by-step solution for all the iterations and…

A: Consider the given system of equationWe have to evaluate for the unknown variables  using…

Q: In a study, the time (measured or observed time) for a worker to do a job was measured as 5 minutes.…

A: We can use the following formula to get the activity's standard time:Time Measurement (TM) +…

Q: Let G be an abelian group. Prove that (g = G||g| <co) is a subgroup of G (called the torsion…

A: The solution effectively utilizes a fundamental theorem to prove it a subgroup, one must mention in…

Q: Use the method for solving homogeneous equations to solve the following differential equation. dy de…

A: We have to find general solution of given differential equation.Concept required:1)A differential…

Q: Find the adjoint of the matrix A. Then use the adjoint to find the inverse of A (if possible). (If…

A:

Q: 4. 1.2p2.3q - 3.1r + 10.1 = 0 4.7 +3.8q - 5.3r - 21.5 = 0 3.7p - 8.3q + 7.4r + 28.1 = 0

A: The system of equations is:To solve using determinants.

Q: An architect designs a building with glass on all sides, solar panels on the roof, and an…

A: Total Surface Area of a cuboid is Here, in the question says the architect designs a building with…

Q: Question 2: Find the numerical values of A, B, C, and D for the following expression. D may be…

A:

Q: Using the Method of Undetermined Coefficients, determine the form of a particular solution for the…

A: The given differential equation is .We have to find the roots of the associated auxiliary equation.

Q: 5. Laplace Transforms (a) Use the theorem of derivatives of Laplace transforms to: i. 2ks (s²-k²)2.…

A:

Q: Find an exponential generating function for the number of permutations with repetition of length n…

A: