Graph on the image below and find the volume generated of the area bounded by x^2 = ay, the x-axis and x = b which is revolved about x = b. Solve this using the cylindrical shell method.

Q: Check if f (x) = 4x³ + 3x¹ − 12x² + 3 is irreducible in Q[r].

A: Note: As company policy, we solve only the first question. Please resubmit the rest of the questions…

Q: Consider F and C below. F(x, y, z) = yzi+xzj + (xy + 18z) k C is the line segment from (1, 0, -3) to…

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Q: Problem 2: Let H be the subspace shown below. Find an orthonormal basis of the subspace. DE H = span

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Q: 1. Let A be the surface with the equation given by 4x² - 9y² = 9 (z²+4). a. Find an equation of the…

A: Bartleby guideline:  According to the norm of Bartleby regarding answering, I can answer the first…

Q: Evaluate or simplify the following. Your answers should not involve any trig functions and they must…

A: Draw base,opposite and hypotenuse .Find unkowns using pythagoras.

Q: Prompt Discuss what makes a function a rational function. Make sure to talk about their graph and…

A: A rational function can be defined as a polynomial which is the ration of two polynomials, in which…

Q: 5. Consider the curve defined by x² + xy + y² = 1 The graph of the curve is shown below. dy (a) Use…

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Q: The amount A, micrograms of a certain radioactive substance remaining after t years decreases…

A: We will use the fact that at half life the amount of the substance remaining is (A_o)/2 to find the…

Q: Two friends are renting a property with a monthly rent of $1,225.00. The total square footage is 975…

A: The total rent is $1225 for 975 square feet Therefore rent for 1 square feet is given by 1225975=…

Q: nd all distinct (real or complex) eigenvalues of A. Then find the basic genvectors of A…

A: We find distinct eigenvalues and their corresponding eigenvectors.

Q: For the linear transformation T: R² R² given by a -b A = [8 [b] a 6 find a and b such that T(8, 15)…

A: The transformation: T: R2→R2 is defined as: A=a-bba.  We need to determine the values of a, b such…

Q: The system following equation: The system following equation: d2x/dt2-µ(1-x2)dx/dt+x = 0 µ=0.5,…

A: given  d2xdt2-μ1-x2dxdt+x=0 and μ=0.5 equation becomes…

Q: Determine the inverse Laplace transform of the function below. e-(-3s +17) (s+6)(s+1) Click here to…

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Q: Use either Gaussian elimination or Gauss-Jordan elimination to solve the given system of linear…

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Q: Use the binomial series to expand the function as a power series. Find the radius of convergence. +…

A: We use binomial series to expand the function as power series.

Q: Given an example of a linear map T: R4 → Rª such that range T = null T (or equivalently range T =…

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Q: Let G be a graph with 20 vertices and 46 edges. Suppose the degree of each vertex in G is either 4…

A: We use Handshaking Lemma.

Q: Evaluate the double integrals025 025 f(x,y) dx dy, and f(x,y) as given in the following ta X 0.25…

A: We need use the given table to approximate the integral: ∫0.251∫0.250.75f(x, y) dx dy.

Q: Consider the function f(x,y) = y6 — 6x²y² + 3x4 Compute the stationary points of the function f(x,…

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Q: The total amount of candy sold at Cassandra's Candy Corner can be represented by the function C(x) =…

A: Amount of candy sold year per type=C(x)/T(x)

Q: the following constrained optimization problem using the method of Lagrange multipl max ln(xyz),…

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Q: Consider the matrices A and B presented below. Find the following matrix products: AB= BA= A² = B² =…

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Q: Ex:. Find the fourth roots of Z=-di Say no 4 K = 0₁12₂3

A: given z=-8i To find the fourth root of the given complex number proceed as follows comparing the…

Q: Let set W ⊆ R+ such that ∀w ∈ W, w < 1000 be our Universal set. Consider set X ⊆ W such that ∀x ∈ X,…

A: Given the set w⊆R+ such that∀ w∈W, w&lt;1000 be our universal set. Consider set X⊆W such that  ∀…

Q: Fees Compute the specified quantity. You take out a 1-year, $5,000 loan at 8% simple annual…

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Q: Determine if the following statements are true or false. Briefly explain why. a) A quotient of a…

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Q: Multiple Choice & Numerical Response Numeric Response 18. When the exponential equation 3 x 4²-1=9…

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Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

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Q: B/ Evaluate the double integrals 0.25 0.25 f(x,y) dx dy, and f(x, y) as given in the following ta…

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Q: Determine the tip percentage, given a subtotal of $23.64 and a total of $29.97. Round to the nearest…

A: Sol:- Initial Amount = $ 23.64 After tip , Total amount = $ 29.97 Net Tip given = $ 29.97-$ 23.64 =…

Q: B = (v1, V2, V3) is a basis of the vector space V and T: V → V is a linear transformation which…

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Q: (f) If F(x, y) = 5y sin(xy)i + 5x sin(xy)j, then f(x, y) =

A: Given  F→x,y=5y sinxyi→+ 5x sinxyj→ Here,F1=5ysinxy and F2=5xsinxy (by compare with F→=F1i→+F2j→ )…

Q: A popcorn company find that their 1kg bags have a mean of 985 grams with a standard deviation of 24…

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Q: Let G and H be groups and let :G →H be a homomorphism. a) Prove that (G), the image of p, is a…

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Q: Long-Term Investments This exercise is based on the following table, which lists interest rates on…

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Q: Use laplace transformation to solve the following differential euqations. Show all the steps…

A: Some properties of Laplace transformation L-1e-csF(s)=H(t-c)f(t-c), L-1F(s)=f(t)L-1ss2+a2=cosat

Q: Suppose that a 4 x 4 matrix A has eigenvalues A₁ = 1, A2=-3, A3=5, and A4 = -5. Use the following…

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Q: or spaces (10 points) dimensional matrix A for which the determinant |A| < 0. Ment it is true or…

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Q: If a multivariate function has continuous partial derivatives, the order in which the derivatives…

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Q: Determine the x- and y-coordinates of the centroid of the shaded area. 11 ייד £ Answers: 10% (X,Y)=…

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Q: A company has a central document copying service. With the present copy machines, the average time…

A: Hint: It is given that old machine takes the average time of 3 minutes to make a copy and the new…

Q: Application of Optimization Problems. Use bordered determinants to check the following functions for…

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Q: Let G be a group and g E G. Show that Ø:Z→G by Ø(n) = g" is a homomorphism and isomorphism.

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Q: = √xe²y-x Consider the surface described by the equation Find the equations of the normal line to…

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Q: Compute the simple interest INT for the specified length of time and the future value FV at the end…

A: Simple interest formula: The value of simple interest is given by, I=P×r×t, where P is principal…

Q: Use a degree 3 Taylor Polynomial to approximate square root of 16.2. Briefly explain your choice of…

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Q: Question 2. ABCD is a parallelogram and M and N are the midpoints of BC and CD respectively. AM and…

A: Given Data: ABCD is a parallelogram M and N are the Mid points of BC and CD  To Find: AP:PM and…

Q: Use the triangle and line proportionality property to prove if the line is parallel to a side of the…

A: We know that  if a line divides any two sides of a triangle in the same ratio, then the line is…

Q: 1. Using Gauss-Jacobi, compute a solution to the problem Ax=b where 2-4 7 3 2 9 -2 A = 8 4 7 b= 16…

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Q: A matrix of order n is diagonalizable if and only if A has n distinct eigenvalues. True False

A: To Find: If the statement is True or False: "A matrix of order n is diagonalizable if and only if A…