The volume of a cylindrical can is 4∏x^3 + 28∏x^2 + 65∏x + 50∏ cm^3. The can is (x+ 2) cm high. What is the radius?

Q: A large container filled with marbles has four levels. Each level has holes through which marbles…

A: The aim of the problem is to find out how the marbles get distributed across different levels after…

Q: 2 x dy + 3y dx = x²y3 dx

A:

Q: Set an = ( 2k+1) 2K+3 k1 kk (-i)k Find linsup an 2112 it n = 3k if n=3k+ I it 11=3k + 2 and limit an…

A: Here we have to find the limit superior and lim inf which is smallest limt and greatest limit if we…

Q: 10.y = cos(5x), find y⁹⁹ 99

A:

Q: Write the uncoded row matrices for the message. Message: Row Matrix Size: 1 x 3 Encoding Matrix: A =…

A: We need to find the encoded message matrices of size 1×3 we have A=[1-1010-1-331] if the uncoded…

Q: =y-2y³, y(0) = 1. dt get to translate back to the desi

A:

Q: 3. State the appropriate theorems that justifies the given equality. 3 2 1 2 6 8-4 5 3 = = 0 4.…

A:

Q: Use a fixed-point iteration method up to six iteration to determine a solution for x-3x²-3-0 on [1,…

A:

Q: Let f (x) and g(x) be irreducible polynomials over a field F and leta and b belong to some extension…

A: It is given that fx and gx be irreducible polynomials over a field F and a and b belong to some…

Q: f(x) = {0 -C < x < 0 0 < x < C

A:

Q: A 8 9 8 3 5 6 13 B

A: Detailed solution attached in latex in step 2.

Q: 1. Prove that 1 (nt) converges uniformly on S = [0, 1]. x2n

A:

Q: Given that V= pz cos o, find VV and V²V.

A: We have given that, V=ρ2zcosϕ We need to find ∇V and ∇2V. We know that gradient of function fx, y in…

Q: Consider the system of linear equations [8 a 0;a 2 -1;0 -1 2/3] column[x y z] = column[1 2 3] For…

A: The given system of linear equations, 8a0a2-10-123xyz=123 We have to find the values of a for which…

Q: Use Lagrange multipliers to find the minimum value of the function f(x, y) = x² + y² subject to the…

A:

Q: Use Newton Raphson Example 2. x²2x-2=0 start with Xo = 3 f(x) = f(x) = i 0 X f(x) f'(x) Xi+1 = ; =…

A:

Q: Laim. {21n: ne Z} U (14n: ne Z} C {7n: ne Z}. a) ( -) Write the claim as an (equivalent) if-then…

A:

Q: X 0 0.5 1 1.5 F(x)

A:

Q: Use the dual simplex algorithm in order to find a solution if the constraint x1 <= 2 is added

A:

Q: If you are given odds of 6 to 7 in favor of winning a bet, what is the probability of winning the…

A: Given:  Odds of 6 to 7 for winning We need to find the probability of winning

Q: Prove that for any real number y, −1 ≤ y ≤ 1 if and only if y² ≤ 1.

A: In this question, we have to prove that for any real number y,  -1≤y≤1 if and only if y2≤1.

Q: Consider the subspace  of the Euclidean inner product space  spanned by the vectors    Find an…

A: Consider the subspace 1,0,1,1,0,-1,1,3,4 Then the orthogonal basis for ℝ3 is β1,β2,β3 Where,…

Q: If A=P-¹BP then B=Q-¹AQ for Q¹ =P where A,P,B and Q are square matrices of the same size. True False

A: A matrix is a mathematical object containing numbers arranged in rows and columns. The size of a…

Q: Find the Fourier series representation of the even extension of the function f(x) = mx + b dm + b…

A:

Q: Construct a diagram or a concpet map to show the relationship between sets, groups, rings, fields,…

A:

Q: Use binary notation to perform the indicated subtraction. Part a) 11110121001012 Part b)…

A: The given binary nototions are as follows. (a) 1111012-1001012 In subtraction of binary notations…

Q: The inverse of matrix A = [100 -98; 98 98] is A^-1 = [-98 99; 99 -100]. Indicate what is the…

A: The condition number of a matrix is = norm of A * norm of inverse of A

Q: The quantity of fluid administered in an inoculation is usually measured in cubic centimeters,…

A:

Q: Determine whether the argument is valid or invalid. All C are E, all C are A, and some E are D.…

A:

Q: Direction: Write the following equations in standard form and find the (a) vertex, (b) focus, (c)…

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: A furniture maker has 6 units of wood and 28 hours of free time, in which he will make decorative…

A: Let the number of units in model 1 be x and model 2 be y. Model 1 requires 2 units of wood and 7…

Q: [Law of Diffusion] According to the law of diffusion, particles in a gas will move in the direction…

A:

Q: ure ciative

A:

Q: An nxn matrix is diagonalizable if it has n distinct eigenvalues. O True O False

A: In this question, we have to determine whether the following statement is true or false : "An n×n…

Q: (a) (b) Use the quotient-remainder theorem to find the gef{77, 42}. Find ALL integer solutions to…

A: Using quotient remainder theorem we can find the gcf is 7 and all integer solution are q=6n+5 and…

Q: Prove the following for Integers x and y, (17 | 10x + 8y) = (17 | 3x + 16y)

A: 17 | 10x + 8y where x and y are integers =&gt; 10x + 8y = 17m for some integer m

Q: the value of a in f(x) = 3x² + ax-4 so that the average rate of change of the function on the…

A:

Q: Let a and b be vectors in R" such that ||a||=|| b||=2 and (a,b)= — . Then ||a - b||= ...

A:

Q: Prove that the answer for ev (dx + 1) = exis: ey - ½ ex = ce-*

A:

Q: 6. Find the number of nonnegative integer solutions to the equation: a) 5x₁+x₂+x₂+x₂ = 14 b) 3x₁…

A:

Q: Find the Fourier series representation of the periodic function below if m= 5.1 and k = 11.17. Then,…

A: Given :  fx=kif -4&lt;x&lt;4mif 4&lt;x&lt;12   , m=5.1 , k=11.17 , n=5 , x=6.348 To Find : Fourier…

Q: Six stand-up comics, A, B, C, D, E, and F, are to perform on a single evening at a comedy club. The…

A: Prob of event = favourable conditions/ total conditions

Q: 4) a) 10 samples of different pastries are on display as customers leave a bakery, they are told…

A: Details are given in step 2.

Q: Directions: Use synthetic division in dividing the first equation by the second equation. Each…

A:

Q: QUESTION 8 1 Given A = 1 3 0 2 1 find -2 1-1 8.1 the eigenvalues of A 8.2 an eigenvector…

A:

Q: (1 point) Complete the truth table for the following statement: P 9 TT TF FT FF ~p ~q (p^~g) ^ (~p V…

A:

Q: 1

A:

Q: verify that to the and find the function 4= cix te2x2 1 Cs x 3 is а differential equation: x³y"…

A:

Q: Use a graphing utility to complete the table and estimate the limit as x approaches infinity. (Round…

A:

Q: Suppose that you decide to buy a car for $57,000, including taxes and license fees. You saved…

A: