First one: The value is 3 Second one: The value is 4 Q4 Using appropriate Tests, check the convergence of the series, ∞ 1 Σ {³P + 1² P + ( +/+ n²p n=1 Q5 If Ø(z) = y + ja represents the complex potential for an electric field and a = p² + + (x+y)(x−y), determine the function(z)? Q6 (x+y)²-2xy n` -(1/1/2+₁1) -2²7) Find […]

5. [8 points] Consider three events: E₁, E2, and F. Assume that P(F) > 0, and thatP(E₁ E₂F) = P(E₁F)P(E2|F). Is it necessarily always the case that P(E₁ E₂) = P(E₁)P(E₂)? Prove or find a counterexample. 6. [10 points] Let the random variable S and T be independent and identically distributed as follows: P(S = -1) = P(T = -1) = P(S = 1) = […]

11/28/21, 7:25 PMPrint Questions 1. A restaurant offers 10 appetizers and 7 main courses. In how many ways can a person order a​two-course meal? There are ways a person can order a​two-course meal. 2. A popular brand of pen is available in 12 colors and 4 writing tips. How many different choices of pens do you have with this​ brand? There are different choices of […]

1Read the following, and then answer the questions below. Definition Suppose that A is a matrix with complex number entries aij . We define the complex conjugate of A, written A, to be the matrix whose entries are aij (i.e. we conjugate each entry of A). Furthermore, we define the the conjugate transpose of A, written A+ , to be the matrix A+ = ( […]

4/20/22, 1:40 PMCA-4.6 Applications of Exponential Growth and Deca-Jackie Reames Student: Jackie Reames Date: 04/20/22 Instructor: Jessica Poole Course: Math 1314-4W08 Assignment: CA-4.6 Applications of Exponential Growth and Deca 1. A sample of 500 g of radioactive​lead-210 decays to​polonium-210 according to the function A(t) = 500 e − 0.032t ​, where t is time in years. Find the amount of radioactive lead remaining after ​(a) […]

Hello,I am working on an algebra assignment and need some help on it. I’m attaching the instructions. Thank you in advance! 🙂 5:42 Module 03 Content Scenario A tech company has developed a new compact, high efficiency battery for hand-held devices. Market projections have estimated the cost and revenue of manufacturing these batteries by the equations graphed below. y < 80 72 64 99 Dollar […]

Unit 4 Mega-assignmentSection 4.1 1. What is the balance after 18 months in an account where $1000 was invested at an annual interest rate of 9%, compounded monthly? First, give an exact expression and then use a calculator or spreadsheet to get the amount of money to the nearest penny. Section 4.2 2. Calculate the limits: ˆ ˙k 2 (a) lim 1 ` kÑ8 k […]

1. Fill in each blank so that the resulting statement is true.Two angles whose measures have a sum of 90° are called​__________ angles. Two angles whose measures have a sum of 180° are called​__________ angles. Two angles whose measures have a sum of 90° are called (1) a sum of 180° are called (2) (1) complementary angles. Two angles whose measures have angles. vertical (2) […]

Math 2 Unit 5: Solving Quadratic and other EquationsQuiz 2A: Quadratic Formula and Discriminant 5. Find the discriminant, then check the type and number of solutions. SHOW ALL WORK AND BOX IN YOUR FINAL ANSWERS! 1.-x² – 6x – 9=0 2. 2x² = 10x +5 3.-10n²-n-9=0 4.-7n² + 16n = 8n Simplify each of the following. -14 ± √-28 2 Solve each equation using the […]

required answer only question 3 2. (a) Use Matlab/Octave to create a 6 x 6 matrix A such that A (the row i, column j entry of A) is given by Aij = j – i. (Hint: one way is to use for loops.) (b) Use Matlab/Octave to find the rank and nullity of your matrix, its reduced row echelon form, and a basis for […]