Simplify your answers if possible (write the answer in the simplest form, cancel all common factors in the fractions) A basket contains 5 blue marbles, 6 green marbles and 9 red marbles. If an experimenter randomly selects 1 marble from the basket, what is the probability that it: a) will be blue b) will be red c) will NOT be blue a) will be blue or green e) will be yellow 1) will NOT be yellow g) will be blue or green or red

Q: Can you please show me how you made the inverse function?

A: As per the instruction we have to find the inverse of the formula derived in the previous solution…

Q: 4. Find a bound on the error in approximating the integral [In(x) dx using (a) the Trapezoidal Rule…

A: To Find: Error bound in approximating the integral ∫19lnx9dx using (a) Trapezoidal rule, (b)…

Q: Prove that if a and b are integers of the form 4n+ 1, then ab is of the form 4n +1

A:

Q: 2. (§1.2 Exercise 4) For each of the following functions, sketch the contour lines on xy-plane…

A: According to the Bartleby guidelines, we are supposed to answer only the first three subparts of a…

Q: The table below shows the value, V, of an investment (in dollars) n years after 1992. n 1 3 7 19…

A: Since you have posted a multi subparts question according to guildlines I will solve first three…

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

A:

Q: Consider the three systems of linear equations: 4x1 + 6x2 + 2x3 + 8x4 6x1 + 9x2 + 16x4 2x1 + 3x22x3…

A: Given system of linear equations are ,          4x1+6x2+2x3+8x4 =  2 (A)   6x1+9x2+16x4=  4…

Q: Select the subset(s) that are subspaces. The set of all 2 × 2 matrices of the form Ta :] where a, b…

A:

Q: Complete the matrix representation for the linear transformation T: P₂ → P2 given by T(ax²+bx+c) =…

A:

Q: DUALITY METHOD 1. Formulate the dual problem. 2. Convert the Primal Final Tableau to its Dual Final…

A: As per the question we are given a linear programming problem (LPP) and we have to find : The dual…

Q: Exercise 3.1.4. The set of all twice differentiable functions f for which f"(x) +2f(x) = 0 holds.

A: Ans-3.14 The differential equation  f''(x) + 2f(x) = 0---------------(1) is a second-order linear…

Q: 3 -1 4 2 -11 1 The range of T can be parameterized by s( Let T = |) + t{ (note the parameters…

A: Given Matrix of linear transformation is  T = 513-142-111        First we will convert this into…

Q: Problem 3. Find the general solution of the differential equation r²y" + 4xy' + 4y = 0.

A: The given equation is           x2y" + 4xy' + 4y = 0   . . . . . . . . . . . . . . (1)  Let,       z…

Q: Consider the data in Table. Using direct fit polynomials, calculate P₂(4.25) using: (a) the first…

A: Given: A data in the table. x F(x) 3 3.3333 3.5 3.7857 4 4.2500 4.5 4.5222 5 5.2000…

Q: Prove that all even perfect numbers n is of the form (2-1)2P-1, where 2P-1 is prime. 11

A: Given: 2p-1 is prime. To Prove: All even perfect numbers n is of the form 2p-12p-1.

Q: Consider the graph below with vertex set {a,b,c,d,e,f,g,h,i,j} b Which of the following are…

A: To check which of the following graphs are  subgraph of above graph.

Q: Use the order of precedence to eliminate parentheses: ((a(b*))|(c(b*))) none of these ab* |cb* (ab*…

A:

Q: ach in parts (b) and 2. Find the 2 x 2 system of lincar differential equations whose general…

A:

Q: Based on the coefficient of determination (R² )value given for Graph A, which is the best…

A: Given R2=0.9073 for graph A linear regression.

Q: 0 -8-8-8 b = 3 Use the Gram-Schmidt procedure to determine an orthonormal basis {9₁, 92, 93} for the…

A:

Q: 2x³ 3x² - 4x + 5 = x-3 solve by long division 1

A:

Q: 2. Let V be an n-dimensional vector space and T: V→V be defined by T(v) = 2v. Find the kernel,…

A: Since you have posted multiple question we will solve the first question for you. If you want any…

Q: Do the series converge absolutely or condition n (2) Σ(-1)^+1 n +3 (b) Σ(-1)"+1 n! 3√√n (c) Σ…

A: Check whether given series converge absolute or conditional.

Q: Exercise 5.12. Let L be an ideal in C[x₁,...,xn], and be a monomial order. Let G = {9₁,..., 9p} be a…

A: Given: f is an element of L, and let G=g1,......,gp be a Gröbner basis of L with respect to the…

Q: Find the coordinate matrix of x in Rn relative to the basis B'. B' = {(8, 11, 0), (7, 0, 10), (1, 4,…

A:

Q: 15. -1 1 0 -2 3 -1

A: A=500-110-23-1

Q: For each subset of the xy-plane, decide if it is a subspace of R². The set of points where x = = 0.…

A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: It is assumed in the problems below that all mixtures are kept uniform by constant stirring. 1. A…

A:

Q: Consider the graph below. a b which pair of sets describes its vertices and edges. O…

A: To find set of vertices and edges for the given graph.

Q: This kind of decomposition of a wave pattern into frequencies is bread and butter for electrical…

A: The wave function y=sin4xy=(sin2x)2=1-cos2x22=141-2cos2x+cos22x By using the trigonometric identity…

Q: Prove by contraposition the following theorem For integers: if n = 2 m, then n² = 4 m² (i.e., if a…

A: Introduction: Numbers divisible by 4 are those that have zeros or multiples of 4 as the last two…

Q: the Untersection of any. of росит ро Prove that two neigborhoods a neighborhood.

A:

Q: Consider the graph below with vertex set {a,b,c,d,e,f}. The above graph is ---Select--- --Select---…

A:

Q: Evaluate the triple integral fff(x² + y² + z²), dV, where E is the region inside the cylinder x² +…

A:

Q: Use the equation Ax = Ax to determine which of the following is an eigenpair for the linear…

A:

Q: tan² t + cot² t = 1 is a possible form of the boundary surface b² Show that a liquid and find an…

A: If we take f(t)=tan2 t  then it is proved  evidently that the given F(x,y,t) is a possible form of…

Q: Current Attempt in Progress Find the equation of the line tangent to y = f (x) at x = 1, where f(x)…

A:

Q: Sketch the grapg of y = x³ - 6x² + 9x - 3 and find the following: a. Critical value of x b. Critical…

A: Given: y=x3-6x2+9x-3. To Find: a) Critical values of x. a) Critical point c b) Point of inflection…

Q: Use the simplex method to solve the linear programming problem. Maximize z=5x, +2x₂ + xy subject to:…

A:

Q: 4. (a) Describe the set 1 ≤ x² + y² ≤ 9, y ≤ 0 in cylindrical coordinates. re

A: The answer provided below has been developed in a clear step by step manner.

Q: xy+y³ (x) (0,0) x² + y² 2. Show that lim does not exist.

A: Given:fx, y=xy+y3x2+y2. We have to show limx, y→0, 0xy+y3x2+y2 does not exist.

Q: Consider the Secant Method applied to minimising f(x) = x² + x³ in |x| < 1. We know the minimiser is…

A: Introduction: The Secant Method is a numerical root-finding algorithm that is used to find the roots…

Q: (5) Sketch each function and determine its Fourier series. Let f(x)=x, where 1<x<2.

A:

Q: Use the Runge-Kutta Fehlberg Algorithm to approximate the solution to the following initial-value…

A: Given: Here is the given initial-value problem, y'=sin t+e-t, 0≤t≤1y0=0hmax=0.25hmin=0.02TOL=10-4 To…

Q: In Exercises 7-12, solve the given initial-value problem. dy dt 7. 9. 11. dy dt dy dt dy dt = y 1+t…

A: According to bartleby guidelines we do only first question and next question can be reposted…

Q: dx dt +2x+y+z=0 dy +x+2y+z= 0 dt dz dt + x = y + 4z = 1 With initial condition x(0) = y(0) = 1; z(0)…

A: Given: Here is the given system of linear differential equation,…

Q: Find the component form of the 36 d32 vector v with magnitude 8 and direction angle 120°. 51727e

A: Here we have to find the component of the vector.

Q: A thin homogeneous bar of length L = 1 has initial temperature T(x,0) = x where the left end is…

A: Given that a thin homogeneous bar of length L = 1 has initial temperature T(x,0) = x where the left…

Q: te: Attempt All the No.1: Let a function f(x, t) be defined for a ≤x≤ b,t>o. Prove that =s²…

A:

Q: his is an example of an Undamped Forced Oscillation where the phenomenon of Beats Occurs. ind the…

A: