1A. A pentagon, ABCDE, represents a plot of land and has the following vertices: 4(-1,0), B (3, 1). C(3, 4). D (0,5) and E (-3, 3). If pentagon ABCDE is reflected in the x-axis and then rotated 180° about the origin, determine ABCDE and A" B" C" D" E". w ( A" Enter your answer C (" D' D" F"

Q: A force is specified by the vector F = [(-170)i + (120)j + (-80)k] N. Calculate the angles made by F…

A:

Q: Diferential equations dy dy 2 a) d (xe Sy² dy 1/ e = 1 eby - 10yx бу 5y² + 6y

A: Given differential equation is dydx = 1e6y -10 y xAlso, dxdy =e6y -10 y x

Q: differentiate [x2+2][2x+3][1-4x] w.r.t x

A: We know that ddxxn=nxn-1 and ddxlnx=1x. We need to differentiate the expression: x2+22x+31-4x with…

Q: A mining company has two mines. One day's operation at mine #1 produces ore that contains 10 metric…

A:

Q: You decide to work fewer hours per week, which results in a 19% decrease in your pay. What…

A:

Q: Which of the following values will give us the most relevant information about a particular group of…

A: Hint: Sample mean: A sample mean is an average of a set of data . Population mean: The population…

Q: Show directly from definitions that if f(r) and g(r) are real func- tions, bounded on (0.1), and so…

A: Here we have given that fx and gx are real functions, bounded on 0,1, so that limx→0+fx=2 and…

Q: defined a proper policy for an MDP as one that is guaranteed to reach a terminal state. Show that it…

A: Given below clear explanation

Q: 3. If possible compute limn→∞o an in each of the following cases. (a) Assume an = 1-3/n for ne Z.…

A: We will find the limiting values for those sequences where the sequences are approaching to one…

Q: Charlie goes to his piggy bank and finds 35 coins, all nickels and quarters, worth $5.15. Which…

A: Let N be the number of nickels and Q be the number of quarters. In total Charlie found 35 coins. So,…

Q: Answer the following questions: (1)Prove by using Contraposition to show that: If (n + 1)² is odd…

A: Part 1 To prove a statement "if p, then q" by contraposition, we prove "if not q, then not p" Now,…

Q: Problem 2. Calculate the area of the closed traverse or field in square meters (using coordinate…

A: What is Area: Area is the total place that a object can occupy. In two dimensional figure, the area…

Q: x + 3 x + 2 a) Explain why the inequalities +1. and x-1 x+5 (x - 1)(x + 2) b) Explain how you would…

A:

Q: Use the graph method to apprroximate the root of f(x) = x³ + 3x-5, and use the provided graph paper.

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

Q: Prove that if r^n and q^n are solutions to the recurrence relation of the form a_n = αa_(n−1) +…

A: Given recurrence relation is an=αan-1+βan-2                (1) Given that rn,qn are the solutions to…

Q: D) Calculate the following definite integral: [* (/{√x - 1) dx

A:

Q: Answer using either the standard or 2-phase simplex algorithm. 2)give the initial tableau and each…

A: Given linear programming problem is maximize   3x1 +2x2 +5x3+x4subject to x1 +x2 +2x3+x4 ≤ 2,3x1   +…

Q: The LCM and HCF of two number are 180 and 6 respectively if one of the number is 30 find the other…

A: Given that the LCM and HCF of two number are 180 and 6 respectively. That is LCM=180 and HCF=6. And…

Q: 4s²-5s+6 (s+1)(s²+4) 2- Inverse Laplace transform for a) f(t) = 3et+ cos2t - 3 sin 2t b) f(t) = et +…

A:

Q: Find the general solution of the system whose augmented matrix is given below. 1-5 0-1 0-2 0 10 0-4…

A:

Q: Now let us experiment with the sequence {ek}keN C R+ given by ek+1 = aek, k = 0, 1, 2, ... (*) for…

A: What is Recurrence Relation: Recurrence relation is a way to describe a sequence with respect to its…

Q: Show that if lim f(x) = lim h(x) = 3, and if f(x) ≤ g(x) ≤h(x) for 2-0 x-0 all z € (-1,1), then lim…

A: Given that limx→0fx=limx→0hx=3 and fx≤gx≤hx for all x∈−1,1. We have to prove that limx→0gx=3.…

Q: - q)^¬(pq) → ¬(q→ p). Λ -

A: Given clear explanation below

Q: Aruni wins 30% of the games he plays on Among Us. If he plays 40 games how many should he win?

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

Q: 1. show that every simple finite graph has two vertices of the same degree. 2.prove that the degree…

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

Q: Determine the partial differential equation by eliminating the arbitrary  function from the…

A: To Determine: The partial differential equation by eliminating the arbitrary function from the…

Q: Find the value of 2 32 tim (22 (1 - cos (2) - cos (4) + cos (2) cos (=))} x →0 8 X

A: Sol:- limx→032x81-cosx22-cosx24+cosx22cosx24Expand…

Q: 7. dt Scientist has observed that a small colony of penguins on a remote Antarctic island obeys the…

A: As per the question we are given a population growth model of penguins as : dP/dt = rP Where P is…

Q: Find T₁ centered at x = 8 for all n for the function f(x) = x¯ n x2. (Use symbolic notation and…

A: Given function is f(x)=x-2                           (1) Since we know the Taylor's series formula…

Q: 1C. Triangle XYZ has cordinates X(-1, 3), (2, 5) and Z(-2,-3). Determine X Y Z' and X" Y" Z" if…

A: If the point: x, y is translated by the vector: ab, then the transformed point is x+a, y+b.

Q: Using matrix method, solve the following simultaneous equation. 5x+y=9 2x-2y=6

A:

Q: panels. Evaluate I = So (a) Using a rectangular rule dr by subdividing the domain into N = {5, 10,…

A: Given : I=∫01e-xxdx To Find : Solution by rectangle rule

Q: Question 6. 14 marks The behaviour of a harmonic oscillator with an external force is modelled by…

A:

Q: QUESTION 1. Solve each of the following ODEs. If initial conditions are given, give the unique…

A:

Q: The graph of  y = f(x)  passes through the points  (0, 1), (1, 2), and (2, 3).  Find the…

A:

Q: At $14.15, the demand (customers) for UB-shirts drops to 350. What is the demand when the price is…

A: Given that the demand and price of a t shirt is as, Price ($) Demand 14.15 400 15.25 350…

Q: The series 1 +-+-+ √5 √6 can be shown to be conditionally convergent. Find the first 10 terms of a…

A: Using the Reimann's rearrangement theorem, it can be written that the terms of conditionally…

Q: 11 DPS Chains A Digit Product Submetion (DPS) cham starts with any number with two or more digits…

A: "Since you have posted a question with multisubparts, we will solve the first three subparts for…

Q: 4. Verify that (¹)² (j³)² = j³² | j³² but (²)³ #jj² j2

A:

Q: Find the Laplace transform of the solution of the initial value problem 0<t<2 2 ≤t v (0) = = 1,…

A:

Q: 8. xyzx +2y³ (z, = 1

A:

Q: CENGAGE MINDTAP Applications 1-1a 6. 7. 8. O Note: Please make sure to properly format your answers.…

A: Given data of Elizabeth's daily cell phone minutes is Mon Tues Wed Thurs Fri Sat Sun x1 x2 x3…

Q: Find the surface area of the portion S of the cone z² = x² + y², where z ≥ 0, contained within the…

A: Given That : Equation of cone z2=x2+y2 contained within the cylinder y2 +z2≤4 To Find : Surface area…

Q: 3. This clock has been broken into three pieces. If you add the numbers in each piece, the sums are…

A: Our Aim to breakdown the clock into three pieces such that the sum of each piece of the three pieces…

Q: Please, help me with the solution of this problem, not only that I just wanted the solution but I…

A: This is a question from the Differential equation.

Q: a tank is filled to capacity 30% .if we add 35 liters it goes to capacity 80% .what is the capacity…

A: It is given that the tank is filled to 30% capacity. Later, 35 litres added to the tank which…

Q: Let a = [1, 3, 5], b = [4, 0, 8], c = [-2, 9, 1]. Find: a. (bc), (a - b).c

A:

Q: sinx.coshy+icosx.sinhy is analytic or not

A:

Q: 3C. The diagram, act drawn to scale, shows two parallel line segments, MA ad RK, cut by two…

A:

Q: Graph the following trigonometric function for the interval 0 ≤x≤ 2: y = 2 sin(x)

A: For a function: y=f(x), the dependent variable is y and the independent variable is x. The value of…