It is given that a+B+y=3₁ a² +² + y² = 5₁ a² + B² + y² = 6. has roots a, B. y. The cubic equation x³ +hx²+cx+d=0 Find the values of b, c and d. Q1 * A. b = -3, c=1, d=2 B. b = -3, c=2, d=1 C. b = 3, c-2, d=1 D. b = -1, c=2, d=-2

Q: Matrix A=(a)nxn is called strictly diagonally dominant, if "1 |a₁|> Σ |aj|, Σ |aj|, i=1,2,...,n.…

A:

Q: What is the equation of the asymptotes of the hyperbola defined by x² - 4y² + 4x + 40y - 92 = 0

A: For a hyperbola of the form: y-k2b2-(x-h)2a2=1, the equation of the asymptotes are calculated using…

Q: 2. Find the value of the line integral e F. dr without using Green's Theorem, where 1 F(x, y) = (x +…

A:

Q: The region bounded by y = 2x - x², and 1- The line x = 1 2- The y-axis y = 1 is revolved about:

A: Introduction: With this technique, the revolution region is divided perpendicular to the revolution…

Q: (b) (c) -2a 2a T - a + 2b + 3c = 2b + b 2r + 4s 3r + 6s +2t 3t 5t С = с 11 = = 0 1 0 1 1 -3 ANS:…

A: For question number 1: Deteminant of a 2x2 matrix:Let A=abcd, then det(A)=|A|=ad-bcSimilarly for 3x3…

Q: Calculate FdV where F = 2i+2zj+yk and V is a space bounded by z = 0, z = 4 and x² + y² = 9. X 4 Z ΦΕ…

A: Here we can use spherical coordinate but we use peoperty of triple and double integration that it…

Q: 21. a. Find a homogeneous linear system of two equations in three unknowns whose solution space…

A:

Q: -4.5 -4 -3.5 Select one: O y = y² - 2y None of these. ○ y = y² - 2y O y = y² + 2y -3 -2.5 -2 -1.5…

A: given direction field

Q: Solve using variation of parameters: y" - 2y + y = e¹/(1+1²) + 3et Yp= U₁ et + u₂ tet (Use 2 decimal…

A:

Q: Solution by Diagonalization: In Problem below, find the general solution of the given ystem. X'=

A: The main objective is to solve the given system of differential equation.

Q: (ve-2x + y²) dx - e-2x dy = 0 6. (ye

A: We need to identify the given first order differential equation as homogeneous, Bernoulli, linear…

Q: x=n+- na

A: d2uds2+u=k given k=1u(0)=65; duds(0)=0

Q: Problem 5 For the shape given below, Determine the moment of inertia of the composite area about the…

A:

Q: Question 1 Suppose you make deposits into an investment account. These deposits occur in a sequence…

A:

Q: 3 y=-3 x=- √√9-y² V25– x – y’ dxdy=

A: The given problem is to evaluate the given double integral in Cartesian coordinates. We have to…

Q: Express the following invertible matrix A as a product of elementary matrices: You can resize a…

A: The given matrix is: A=-300010-180-2 Reduce the matrix to identity matrix form by performing…

Q: (B): Find the tangent equation to the curve y = sin² x at point x =

A:

Q: 2. Finite subsets of Rd are closed.

A: Here we have to prove that any finite subset of ℝd is closed. Here we can use that union of close…

Q: 9.6.29 Use the graph at the right. Find the vertices of the image of QRTW for a dilation with center…

A: Introduction: Every transformation corresponds to a mathematical definition. It is referred to as…

Q: (B): Find the unit vector perpendicular to the vectors: 3i - 4j+5k 4i + 5j-6k (PUBIEN

A:

Q: Solve the given linear programming problem using the table method Maximize P=7x₁ +6x₂ subject to:…

A: Given LPP is max P=7x1+6x2subject to:3x1+x2≤21x1+x2≤10x1+2x2≤12x1,x2≥0 Now using slack  variable max…

Q: Let z = exsec y Find d²z dxdy and d²z dydx

A: .

Q: Compute line integral of F(x,y) = (2x² – 3,₁²³)^² + (2x +34²) ↑ с over the following C F-dr SCF ¾ ç…

A:

Q: I. Modified TRUE or FALSE. Write Tolits if statement is true and Tol if statement is false. For…

A: 5) the following paragraph is false. A cat is a fish. if a cat is a fish then the piranha is a…

Q: I. Modified TRUE or FALSE. Write Tolits if statement is true and Tol if statement is false. For…

A: 1. True (or) Tdits because  the set of all sets is also a set  example: {a},{b},{c} be any sets then…

Q: For the given signal, Sketch: a) x(t) d b) a x(t) dt c) x(a) da ∞ x(t) = 0 -t -1 t-3 0 t 3

A:

Q: 2. Let T: FgFg be the operator given by 4 3 3 4 3 1 4 1 3 Determine T(x) and find a maximal vector…

A:

Q: Q1: Answer two only (A): Solve the following linear equations by Cramer's rule: x +y + 2z = 1…

A:

Q: x +y + 2z=1 2x-y-z = 0 x +2y-z = 4

A: Follow the steps below.

Q: Let u(t) = tºi – t³j + 8tk and v(t) = 7ti – t³j + tºk. Find [u(t) · v(t)] and [u(t) × v(t)].…

A:

Q: 3x³ +6x² +17x-5 x²+2x+5 3.). type of factor. dx; Solve by using partial fraction. Indicate the…

A:

Q: If f is the function defined by f(x)=√x2 + 4x and g is an antiderivative of f such that g (5) = 7,…

A: We know the definition of antiderivative ,  The antiderivative of the function f is a function F…

Q: (B): Find the tangent equation to the curve y = sin² x at point x =

A:

Q: n If A, B, and C are 2x2 matrices; and det(A) = 5, det(B) = 1, and det(C)=-4 then compute:…

A:

Q: If a line passing through (-4,3) cuts off the smallest area from the second quadrant in a coordinate…

A:

Q: end of its life. Operating anc the city's MARR is 7% per ye

A: Given: Life of sewage system is 40 years. Interest rate is 0.8

Q: Find a differential equation whose general solution is y = c₁est + c₂e-2¹. 8t = 0

A:

Q: Question 1/ Suppose you make deposits into an investment account. These deposits occur in a sequence…

A:

Q: Find the volume of the given solid over the indicated region of integration. f(x,y)=2x+2y+7;…

A: We find required volume of given region.

Q: At the beginning of each quarter, $1,650 is deposited into a college fund. The fund earns 7% annual…

A:

Q: 0.80 0.10 0.10 Find the stationary matrix for the transition matrix P = 0.15 0.80 0.05 0.20 0.70…

A:

Q: Find the equation of the least-squares regression line ý and the linear correlation coefficient r…

A: Sol:- Straight line equation is y=a+bx.The normal equations are ∑y=an+b∑x∑xy=a∑x+b∑x2The values are…

Q: Year 1 3 5 7 10 Population 16,763 17,007 17,226 17,418 17,639 Determine a model for the given data…

A:

Q: 3. Determine the indicated measure for each of the following. a. Determine the length of the…

A: KLMN is a cyclic quadrilateral  Therefore sum of opposite angles of a cyclic quadrilateral is 180°…

Q: Calculate FdV where F =2i+2z j+yk and V is a space bounded by z=0, z = 4 and x² + y² = 9. X 4 Z ФС 3…

A: Here we can use spherical coordinate but we use peoperty of triple and double integration that it…

Q: what is the terminal velocity? 5 meters/second How long before the object reaches 90% of terminal…

A: As you have mentioned we have to answer 'last few unanswered parts' We already have v(t)=50-50e-0.2t…

Q: F(s) = 172S-156 s3-1.2s²-11.8s+2.4

A:

Q: (C): Solve the following equations:- (1) sin 2x + 2 sin² = 1

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

Q: What are the features of the function f(x) = 2-1 graphed below? -12-11-10-9-8-7-6 as 12 11 S 10 5996…

A: The distance between the graph of a function and its asymptotes becomes 0 at the infinity. For a…

Q: 2. the approximated roots for equationf(x) = e* - 3x in intervals [1,3] is found to be 1.34 find the…

A: Given function is fx=ex−3x. And the approximate roots for equation fx=ex−3x in intervals 1,3 is…