How many polynomials of each degree 0≤d ≤5 pass through the points (-1,-5), (0,-1), (2,1) and (3,11)?

Q: Find the center of mass of the cone, assuming that its density at any point is proportional to the…

A: Given: The height of a cone is h The radius of cone is r0. To find: The center of mass of the cone.

Q: 49. Advertising and sales Suppose that the daily sales (in dollars) t days after the end of an…

A:

Q: Let f {1, 2, 3} → {1, 2, 3} f = {(1, 2) (2, 3) (3, 1)} fof(3) =

A: Given function f:1,2,3→1,2,3f=1,2, 2,3, 3,1 Clearly  f1=2f2=3f3=1

Q: Gompute у сом) у (005) вд y by corrector method where differential eqantron zet-z dy/dt = and y and…

A: dydt=2et-y t 0 0.1 0.2 0.3 y 2 2.01 2.04 2.09

Q: You need to write the script of Cholesky's decomposition to obtain a lower triangular matrix L such…

A: As per the question we have to build a matlab script of cholesky's decomposition, along with a…

Q: sino tourth order Runae mirth

A: PArt A

Q: ensi der the I've ه جمع

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Q: It is given that (²1) = 4, (3) k 2 -(" + ²) Write and expression for = B, (x+1)= = C (where n, k, A,…

A: Use the properties of combination.

Q: 9. Which of the following is NOT true regarding exponential functions in the form f(x) = ab*? a.…

A: Here we have to find that which of the given option is not true regarding exponential functions in…

Q: y = e-³x cos3x x=t(e²t + 4)

A: We have to find the Differential equation of the given solutions.

Q: Alice, Bob, Chloe, David, Ella, and Fiona are forming a line. How many different line arrangements…

A: Alice, Bob, Choe, David, Ella and Fiona are forming line

Q: 2. In every Pythagorean triangle, prove that at least one of the sides is divisible by 5.

A: The given problem is to prove that in the Pythagorean triangle there is atleast one of the sides is…

Q: Use the Theorem of Pappus to find the volume of the torus formed by revolving the circular region…

A: Given:  x-42+y2=4 To find the volume of the torus formed by revolving the circular region.

Q: Let {r1, r2, r3, . . .} be an enumeration of the set of rational numbers. For each rn ∈ Q, define…

A: Given That : r1 , r2 , ...... be an enumeration of the set of rational numbers.…

Q: 2. Let C be the circle |z −1 < 2 taken in the positive sense. Evaluate the following integrals:…

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Q: An economy has only two industries: the electric company and the gas company Production of a…

A: Given: The two industries: the electric company and the gas company production of a dollar's worth…

Q: A. Let H be the set of all points (x, y) in ℝ2 such that x2 + xy + 3y2 = 3. Show that H is a closed…

A: Given: H is the set of all points x , y in R2 such that x2+xy +3y2=3. To Show: H is a closed subset…

Q: v=x²e=x + 4e²

A: Given solutiony=x2e-x+4ex

Q: [S7 3. Let y is a function defined as y(s)={ $8:s is student ID, s₁: ith digit}. [Sg] [6] For…

A: We pre multiply both sides by matrix A,  then we get x.

Q: Let A= UΣVT be a singular value decomposition of an m X n matrix A. Let σ1, ... , σr. be all the…

A: As per the question we are given the singular value decomposition of matrix A = UΣVT Where V = [vi]…

Q: High Tech Co issued a 30-year. 10 percentage semi -annual bond 7 years ago. The bond currentty sells…

A: (a) The pre-tax value of debt is the value of the bond before considering the impact of taxes. To…

Q: [223] -2 - Show that the eigenvalues of the given system are complex. - Find the general solution of…

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Q: Functions Explain by using proof, why or why not the function y = x² is one-to-one or not one-to-one…

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Q: List the elements of the sechgroups the Cosets of $1.-1] of the group of quaternion { 1,-1, i, - i j…

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Q: Find the arc length of the graph of y = ln(cos x) from x = 0 to x =  /4, as shown in Figure

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Q: using the equation E: Y=16 -X² 9. sketch the graph of E in R³ b. Find the equation of the surface…

A: y=16-x2

Q: Theorem 6.3. Let a be a real algebraic number of degree n C= = c(a) >0 such that

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Q: 3. Let y is a function defined as y(s)={SB:s is student ID, S: ith digit). [6] For example, student…

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Q: The error function er f(x) = probability. Find the approximate value of er f (1.5) using the first…

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Q: 4. The homeowners association is deciding a new set of neighborhood standards for architecture, yard…

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Q: Determine whether the infinite series converges absolutely or conditionally.

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Q: 3.) Let Find A1 A- 203 010 100 using confactor representation of the imorse matrixe

A: The given problem is to find the inverse of the given matrix by using the cofactor representation of…

Q: 5. Let P2(C) be the vector space of polynomials of degree less than or equal to 2 over C. Let C3 be…

A: 5) Let P2ℂ be the vector space of all polynomials of degree less than or equal to 2 over ℂ. and ℂ3…

Q: get mzl be any integer Margolt fonction -wor we have (P) V Z a) toon and

A: A

Q: e) Find the sum of series 13 1³ +23 13 +2²+3³ + + 1 1+3 1+3+5 + ...... m - terms

A: A

Q: (a) Find the sum to infinity of the series 1-3x+5x² - 7x³ + .... ∞ where 0 < x < 1 (b)Let a and b be…

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Q: The series converges for every x in the half-open interval [−1, 1) but does not convergewhen x = 1.…

A: Given: The series converges fx=∑n=1∞xnn=x+x22+x33+x44+.... for every x in the half-open interval…

Q: 1. y=x²e + 4e* 2. y e-3x cos3x

A: As per our guidelines we do here only first question and kindly rest question can be reposted.

Q: find the curves which satisfy the associated characteristic

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Q: 6. Use the following form graph of yos-2 is the below 162 que lo miog snil letnosion of 20 (anato…

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Q: Determine whether each integral is convergent ordivergent. Evaluate those that are convergent…

A: Given integral is: ∫01x2dx We have to determine whether the given integral is convergent or…

Q: Given that sin (0)=-1, state the value(s) of 8 in degrees, correct to one decimal, such that 90 ≤ ≤…

A: Trignometry is defined as the measure of the side and angles of a right-angled triangle. Trignometry…

Q: 01 2 Select orrect choice below and, if necessary, fill in the answer box to complete your choice.…

A: Answer given below.

Q: Find a polynomial to interpolate the following data: (-1,1),(0,-1) and (1,1).

A: We have to use Lagrange's interpolation formula to find the polynomial from the given data.

Q: Stokes’ Theorem for evaluating surface integrals Evaluatethe line integral in Stokes’ Theorem to…

A: Given That : F=2y , -z , x-y-z and x2+y2+z2=25 To Find : Line integral .

Q: the characteristic polynomial, eigenvalues, eigenvectors, and atrix P such that P-¹BP is diagonal…

A: Given matrix B=1-2326-612-1 We have to find invertible matrix P such that P-1BP

Q: Use the modified decomposition method to solve the following Fredholm integ tions: 1. ULF 3. u(x 4.…

A: Given the Fredholm integral equation ux=π-2x+sin-1x+12-sin-1x-12-∫01xutdt. We need to use the…

Q: 12. Let the complex field C be a vector space over the real field R and the conjugation operator T…

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Q: Using fourth order Runge Kutta method equation y' = ty = f(t, y), y(1) = 2

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Q: Determine the best and complete answer for the following. Simplify all your answers. If possible,…

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