A snowball in the shape of a sphere has a volume of 145 in³. Over the course of the day, the snowball melts to a volume of 21 in³. What is the ratio of the radius of the original snowball to that of the melted snowball? Round your answer to the nearest hundredth. O 1.90:1 O 1.22:1 O 1.55:1 O 1.44:1

Q: The function f(x) = 3x4 + 2x² - 4x² + 5x − 6 has at least two rational roots. Use the rational root…

A:

Q: ¡CON(I) 1 G(r): = -T₁₂ -2 dy 1-y³

A: Gx=∫x-2cosx11-y3dy To Find: Evaluate the above definite integral Using the Fundamental Theorem of…

Q: Brianna is organizing textbooks on her bookshelf. She has an English textbook, a math textbook, a…

A:

Q: P(x) is a monic polynomial of degree 4 such that P(-1) = 5, P(2)=-4 and P(x) = P(-x), i.e. it is an…

A:

Q: Evaluate fx sin(x) cos(x) dx using integration by parts.

A: Note :- Since you have posted multiple questions, we will provide the solution only to the first…

Q: An auto insurance company classifies its customers in three categories: poor, satisfactory, and…

A: Eeach year, 30%0.30 of those in the poor category(1) are moved to satisfactory(2), and the remaining…

Q: Solve the matrix game M, indicating the optimal strategies P and Q for row player R and column…

A:

Q: Solve the linear programming problem to the right by applying the simplex method to the dual…

A:

Q: Consider the differential equation - 3 = 4x³+1, where x > 0. dy da Suppose that we have the initial…

A:

Q: Find the Frenet (TNB) frame for the following function at the point (√√3,-1, 3π): r(t) = (2 sin (t),…

A:

Q: 1. Compute the flux of F(x, y, z) = (x+z, 1, 2) through the surface S parameterized by F (s, t) =…

A: Sol:- To compute the flux, we need to first find the normal vector to the surface. We can do this…

Q: Prove that sin 0 COS 0 2 2 = 1 - sin 0.

A: 1. sin2θ+cos2θ=1 2. sin2θ=2sinθcosθ

Q: Can you please solve for Q* and v as well. Thanks

A:

Q: (a) Find the coefficients an and bn of the Laurent series Σan(z-zo)" + [bn (z-zo)¯n n=1 of the…

A: Since  you have posted a multiple  question according to guidelines I will solve first   question…

Q: online graphing calculator that will show a graph of f(x,y) = sqrt(x-y)

A: We can do this conveniently using MATLAB. The MATLAB code to do the above-mentioned task of plotting…

Q: (A) Using slack variables, determine the initial system for the linear programming problem. (B)…

A: canonical  form of the given problem is:Max P=32x1+24x2s.to. 4x1+x2+s1=12           x1+8x2+s2=12…

Q: Find the volume of the solid whose base is the triangle with vertices (0,0), (5,0), and (0, 2), and…

A:

Q: Reduce the matrix to its row-reduced form. 31-8 89 8 02 8 000 32 -147 -62 J It 000 =

A:

Q: 1. The Galápagos penguin is the only penguin species found north of the equator, and it is…

A: Given A=020.1250.75 x0=4040 Concept Used Use the transition matrixA and the initial state vectorx0…

Q: Solve the following linear programming problem by applying the simplex method to the dual problem.…

A:

Q: 5. For all matrices, when the product is valid, we have A(B+C) = AB + AC

A:

Q: 10) For the following systems of linear equations, does Cramer's Rule apply? Answer yes or no. If…

A:

Q: (b) Verify that the following function is harmonic u(x, y) = -ey sin x - 2e siny. Find a harmonic…

A:

Q: dy Consider the differential equation d 3x³ + 2, where x > 0. Suppose that we have the initial…

A: dydx-3yx=3x3+3x; y1=-1. To Find: y2

Q: if 2E2, f(2)= 12₁² find @if 20 then f/2) not exists Oif 2=0 then find f(z)

A: Here, fz=z2, then find  1) If z≠0, then f'z not exits. 2) If z=0,then find f'z.

Q: Evaluate the following limit. t t lim costi-4 sinit k t-l lim costi-4 sin t-n t -k {1+1K)

A: We have to evaluate the following limit  limt→πcos t i^-4sin t2j^+tπk^. Observe that  limt→πcos…

Q: Please show how the following Figure can be linearly separated by mapping from the features (X1, X2)…

A: In many machine learning scenarios, data points that are not linearly separable in the original…

Q: Show that if X and Y are sequences such that X and X+Y is convergent, Y is convergent.

A:

Q: Let W be the subspace spanned by u, and u₂. Write y as the sum of a vector in W and a vector…

A: Let,        y = w + w'     where, w ∈ W and w' is orthogonal to W.  Now, as w ∈ W and W is spanned…

Q: A town has two banks, bank R and bank C, which compete about equally for the town's business. Each…

A:

Q: Using the Residue Theorem, or otherwise, compute z-7 z²+z-2 dz, where C is the positively oriented…

A: Let  fz = z-7z2+z-2           Consider  z2 + z - 2 = 0…

Q: (3) Let the elliptic curve & be y² = x³ + x + 6 (mod 11). (a) Given the point a = (2, 7) on the…

A:

Q: A deep sea divingbell is beinglowered ata constant rate. After 11 minutes, the bell is at adepth of…

A: We have to find the average rate of lowering per minute. For that we need to determine the change in…

Q: We know that y₁(x) = e differential equation y" - is a solution to the uy' + 1vvy - u for x = (-∞,…

A:

Q: (a) Find all the solutions of the following equation 3z + (2 — i)z = 7+i in Cartesian form. Justify…

A:

Q: The function g defined by g(z) = 23 (z − (1 + i))³ - has a pole at the point z = 1+ i. State the…

A:

Q: ³=1³+2³+3³+...+ n³ = n2(n + 1)2 4

A:

Q: Prove that this formulation has an integer optimal solution ã, that is, ã¡¡ € Z+ V(i, j) € A.

A: This problem involves finding a feasible flow through a single-source, single-sink flow network that…

Q: question (b) it seems incorrect can you check it please again

A:

Q: Find the conditional probability of the indicated event when two fair dice (one red and one green)…

A: Conditional probability is a measure of the probability of an event occurring given that another…

Q: b) what profit (or loss) results from the sale of 500 copies of the Collegiate Investigator?…

A:

Q: Evaluate the Differential Equation by Integrating factor. Solve: xy' = 3y + x^4_y(1)=7 Find the…

A:

Q: If the coordinates of a triangle are given, then, its area may be solved using the formula Area of…

A:

Q: Express Log (2) in Cartesian form (x+iy). Justify all of your steps.

A: Here we can use the formula  Logz=12logx2+y2+i tan-1yxwhere z=x+iy

Q: (b) Using the Root Test, or otherwise, determine the radius of convergence of the power series n³n Σ…

A:

Q: FIGURE 21 26. Figure 22 shows the region enclosed by y=x³-6x and y=8-3x². Match the equations with…

A: In this question we can find the area of the region enclosed between the curve.

Q: 6. The characteristic polynomial of a 5x5 matrix is given below. Find the eigenvalues and their…

A: Given characteristic polynomial of a 5×5 matrix is λ5-17λ4+72 λ3 We have to find eigen values of the…

Q: During 2008 the S&P 500 indexm depreciated by 37.6%. Assuming that this trend has continued, how…

A:

Q: How many non empty collections of letters can be formed from n As, n Bs, n Cs and n Ds?

A: Using Combinatorics, if all A's and B's were different: You can choose either 0 A in C(n,0), 1 A in…

Q: Solve by applying the simplex method to the dual problem. C=25x₁20x₂ + 25x3 +30x4 X₁ + X₂ 513 X3 X4…

A: