Transform the following equation of ellipse in standard form. 9x²-4y²+36x-24y - 36 = 0 3x² - y2 + 18x-2y-10=0

Q: #7. Let f(t) = 1² for t € [-, ], and extend it to be 2T-periodic on R. (a) Find the Fourier series…

A:

Q: Let ? be an upper triangular matrix of order ?. Find the total number of arithmetic operations for…

A: 1) A matrix is upper triangular if all elements below diagonal are 0 .

Q: A group of students conducted a survey about a person's drink preference. It was found that out of…

A:

Q: Let F be a field and a ∈ F \ {0} which is a zero of some polynomial f(x) ∈ F[x]. Find a polynomial…

A:

Q: f(x) = √21 - 4x - x²

A:

Q: Medical research has shown that repeated wrist extensions beyond 20 degrees increase the risk of…

A: Given in question Medical research has shown that repeated wrist extensions beyond 20 degrees…

Q: A= AB ВА 3 05-21 -7 4 -3 2-6 and B = -5 6 9 22377 А -2 1 -1

A:

Q: Exercise 11.5.3. We know that the transpose of a n x n matrix is a nx n matrix. So we can consider…

A:

Q: 10. There are three line segments below. One of these is labelled "1" and is one unit long. The…

A:

Q: Simplify A. 5-i 2 + 3i 7-17i 13 B. 8-17i 13 C. 9-17i 13 D. 10-17i 13

A:

Q: 7. Find f'(x) for the function f(x)=√-3¹-2 8. Find f'(a) for the function f(x) = (5a²+3)¹ 9. Find…

A:

Q: Solve the following IVP. y"'-5y"-22y'+56y=0 y(0)=1, y'(0)=-2, y"(0)=-4

A:

Q: 4. Find the gradient and Hessian of the following functions: (a) f: R²R given by f(#1, #2) = (₁-x₂)²…

A:

Q: Solve for 3r< 12. A. r ≤ 4 B. r ≤3 C. r ≤2 D. r ≤ 1

A: Linear inequalities are defined as expressions in which two linear expressions are compared using…

Q: 16. Determine the perimeter and area of this isosceles trapezoid. Give the measures to the nearest…

A:

Q: A loan for $3,500 with a simple annual interest rate of 18% was made on June 30th and was due on…

A: Given, Principal amount (P) = $3,500 Interest rate (r) = 18% Time (t) = 60 days   (from 30th June to…

Q: 6. Given the shaded Venn diagrams below, write the set that represents the shaded region. A B Set…

A:

Q: A dynamic system is described with the following differential equation: *+4x+20x = f(t), x(0)=1,…

A:

Q: Use Newton's Method to approximate √5 with starting guess 2 and consider the error at each step.…

A: Approximate the 5 using Newton's Method. Initial Guess:- x0 =2

Q: Approximate the area of the region between the graph of the function g(x) = 49x - x³ and the x-axis…

A: Introduction: First, determine the width, x, of each rectangle required for the Riemann sum. The…

Q: a) For an annuity, the claimant will receive payments of RM (YOUR MATRIC NO.) per year, payable…

A: Given: In this question, the given details are For an annuity, the claimant will receive the…

Q: Consider the power series f(x) = Σ n=0 5n - 3 4" • X 2n (a) Use the ratio test to determine the…

A:

Q: Problem 10.3 10 Evaluate the following limit. z² - 2iz - 1 lim z→i z4 + 2z² + 1

A: Given:  The given expression is limz→ iz2-2iz-1z4+2z2+1. To find: The value of the given limit.

Q: State a region in the x-y-plane, where the hypotheses of Picard's theorem (namely: continuity of…

A: Note: As per company's guidelines we can answer only first 3 questions if there are multiple…

Q: Consider the following vectors in R³: Give examples of vectors V1 Enter the vector w in the form…

A:

Q: 3 parameterization of a circle in R³ having a radius of 1 with center (1, 2, 4) 6. Find the and in…

A: The parametric equation of a circle in a plane knowing the center and radius is given as,…

Q: Let d be an integer. Show that the set Z[√d] := {a+b√d: a,b € Z} is an integral domain. When is…

A:

Q: 2. (a) Draw and parametrize the circle of radius two centered at (1,-1,1) and lying on the plane…

A: (a) Here we need to the equation of the circle centered at 1,-1,1, radius 2 that is in the plane…

Q: Write an example of a function whose derivative can be found by using the following rules: a)…

A:

Q: Discuss the difference between the symbolic statements ~(p^ q) and ~p ^ q. Choose the correct answer…

A:

Q: Factor x^3 − y^3 into a product of irreducible elements in Q[x, y] and prove that each of the…

A:

Q: Think about the following problems and post your replies below. You must show all work to receive…

A:

Q: Use the ratio test to determine the convergence or divergence of the series 8 Σ 2cosh(n) - 2 n=0 (a)…

A:

Q: positive integers that are not prime; i.e., the se prime integers has arbitrarily large gaps. Hint:…

A: Given: In the given statement n in N there exist n consecutive positive  integers that are not…

Q: A balloon, leaving the ground 53 ft from an observer, rises 10.75 ft/sec. How fast is the angle of…

A: The given problem is to find the how fast is the angle of elevation of the line of sight increasing…

Q: Find the values of the parameter p for which the following series converges. 4 Σ k=2 (3 In (Ink))…

A:

Q: 3.7. For ne N, 2n -8 < n²-8n +17.

A: 3.7 We have to prove that 2n−8&lt;n2−8n+17 for all n∈N by principal of induction method. Let n=1…

Q: 8. Let ABC be a triangle, and let D, E, and F be the points where the incircle is tangent to sides…

A: Note: Since you have posted multiple questions, we will solve first question for you. Kindly repost…

Q: sinh(2 ln(c)) = (A) = +222²2 (B) c² - 2/2 (C)/2 - 2/1/2 2c² 1 (D) c- ! (E) 0 1:37 AM ✔

A:

Q: 18÷3(6-5+1)=? 12 3

A:

Q: Solve the differential equation below. You may choose among the following techniques: First Order…

A: Consider the provided D.E, 2yd2ydx2-1=dydx2;  y0=2; y'0=-1 It is second order nonlinear ordinary…

Q: n Prove that & (31²-2₁) = 2n³ tn ²-n 2=1 2 Goal: 2 (k+1) ³) + (1+₁)² = (K+1) 2

A:

Q: 32. (0), where f(x)=x²+2x+2 In Exercises 33-36, apply the three-step method to compute f(x) for the…

A:

Q: surfaces Ex.4. Find the length of the curve given as the intersection of the (-) 2/2 b² = 1, x = a…

A:

Q: 14. A sum of P40,000 is invested in two parts, one at 10% and the other at 12%. If the total profit…

A: Solution :-

Q: 1. Consider the function f: RR given by f(x) = x¹ = 4x³+4x². (a) Using calculus, find all critical…

A:

Q: A deck of card contains red cards numbered 1,2,3,4,5 and blue cards numbered 1.2,3,4.  Let R be the…

A: The total number of red cards are 5 numbered as 1,2,3,4,5. The total number of blue cards are 4…

Q: Determine the cube roots of 27 + 0i in Rectangular Form

A:

Q: I cannot understand. Please submit handwritten version.

A: algebraic proof of ∑k=0nm+kk=m+n+1n let Pn:∑k=0nm+kk=m+n+1n we will prove it by using mathematical…

Q: 2.55 Find the eigenvalues and eigenvectors of the following matrices: 2√3 0 4 0 04 (c) 4 -4 0 -4 0…

A: as per guidelines,we suppose to solve first three subparts.