11. Find the value of the (1,1) element of the following matrix that gives a determinant value of zero. 0.75 0.5 0.25 0.5 1 0.5 0.25 0.5 0.75 Which elements in the matrix cannot be changed in order to give a determinant of zero?

Q: (²x-y²) dx - 2x (y² - x+y) dy =(

A: We have 2x-y2dx-2xy2-x+ydy=0 Now, a differential equation M dx+N dy=0 is said to be exact if…

Q: Identify the corresponding propositional form and give the truth value. If neither March nor April…

A:

Q: A tank initially holds 200 gal of brine solution containing 3 lb of salt. At t=0, another brine sol…

A:

Q: d²y dy 6. Given: +2+y=et, y(0) = 1 and (0) = 2, Find by Euler's method: dt dt (a) y(0.8) (b)(0.8)…

A:

Q: Let V = R3 and W ={(a, b, c) ∈ V | a + b = c}. Is W a subspaceof V? If so, what is its dimension?

A:

Q: the truth tables for the following propositional forms. (a) (PAR) v S (b) (PvQ) ^ (~ R) (c) (P^R) ⇒…

A:

Q: The following numerical scheme: h Yn+1 = Yn-1 + [fn-1 + 4fn + £n+1], is proposed. By utilizing the…

A: Given: Numerical scheme yn+1=yn-1+h3fn-1+4fn+fn+1 and model problem y'=λy To Find : a) Classify the…

Q: a)Solve the following system of equations. Let z be the parameter.   2x+3y−z =1 3x+5y+z =4

A:

Q: A tank contains 200 liters of fluid in which 30 grams of salt is dissolved. Brine containing 2 grams…

A:

Q: II. Find the equation of the normal line to the curves at the point of tangency, if given.…

A: To find- Find the equation of the normal line to the curve y = x3 - 12x2 + 5x + 1 perpendicular to…

Q: decide if the given statement is true or false,and give a brief justification for your answer. If…

A: Eigenvector: A non-zero vector x is said to be an eigenvector of the square matrix A if there is a…

Q: -x), 0 < x < T ㅠ

A:

Q: A student bought a used car in 2014 for $7650 and it has decreased in value by about $1250 per year…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 17. The coefficient of x³y in the expansion of (2x + 96 O 72 none of these -3y)4 is O 104

A:

Q: ● Prove that In (1+1)= = -h 1=021²71h²1+1

A: Since ln function is not defined for negetive values of domain so we need |h|&lt;1.

Q: Given |a,b,c,n €Z, show that, if ac bc (mod n), a = b (mod), d= mdc(c, n). then

A:

Q: e/2,0 ≥ 0 (logarithmic spiral)

A: Given: r=eθ/2 ,  θ≥0 We have to sketch the graph .

Q: Solve the system using Cramer's Rule. 3x - 4y = - 1 -2x - 5y = - 30 Find the determinant D…

A:

Q: Write out a careful proof of the fact that the square of an odd number is odd.

A:

Q: 1. Mae went for an out of town trip to Lucena City, 120 km away from her place. On her way back, due…

A:

Q: We consider the following first order differential equation r' + A(t)r - B(t) = 0 with k an integer…

A:

Q: 3. Find a particular solution up to u + 2xu, = y by first trying w = zy as the solution.

A:

Q: Let P₁, P2,... be a sequence obtained by an enumeration of the set Qn [0, 1]. Find the set of all…

A: Given: Let p1,p2,p3... be the sequence obtained by enumeration of a set ℚ∩0,1. To find: Set of all…

Q: Prove that |R| = |Z × R|.

A: We know that ℝ is the set of all the real numbers. Similarily, ℤ is the set of all the integers and…

Q: Question 4 please! Show work

A: To Find : a) Rewrite the equation x2+4z2=16-4y2 in a standard form, and identify which surface it…

Q: 14. Work out all the steps of the rotation transformation which is applied to equation (1), Section…

A: We have to write all steps of rotation transformation which is applied to the equation…

Q: 3. Can a square matrix with two identical rows be invertible? Why or why not?

A: Solution: An invertible matrix is a square matrix that has an inverse and the square matrix is…

Q: Select the following statements that are true. Op →q is the contrapositive of p¬q. Op^q^pis a…

A:

Q: 9. Given: 2-2 + 2y = e²t Sint, 0 < t < 1, y(0) = -0.4 and y'(0) = -0.6, dt Find by Runge-Kutta…

A: Let us solve the given Numerical Analysis problem using Runge-Kutta Fourth Order Method in the next…

Q: Find the angle of intersection of the plane 4x - 2y - 2z = 4 with the plane -1x + 3y + 2z = -5.…

A: We know angle of intersection between two planes  A1x+B1y+C1z=D1 and A2x+B2y+C2z=D2 is…

Q: 6. Find the two sets of coordinates of the intersection of the straight line with y h and the circle…

A:

Q: Exercise 6.2. Prove each of the following statements. (a) There exist integers a and b so that 3a -…

A:

Q: factor 2x^4 + 3x^3 - 5x^2 + x - 1 Or just x^4 Or x^4 - 1 using Synthetic Division and the Remainder…

A: We will first use remainder theorem then use synthetic division to factor given expressions.

Q: Find the volume of the solid generated by revolving the region bounded by y = 4x-x² and y=x about…

A: Introduction: The Shell Method divides a solid into cylindrical shells and uses those shells to…

Q: Make an ORIGINAL EXAMPLE OF "Elimination of Arbitrary Constants (Differential Equations)" A) GIVEN…

A: Differential equation is made by eliminating arbitrary constant from an equation representing family…

Q: 2. Evaluate frysds, where 8 is the boundary of the solid region E which lies above the cone Va+ and…

A: We have to find the value of  ∬xyzdSwhere s is the boundary of solid region E which lies above the…

Q: Define algebraic and geometric multiplicity. Show that algebraic multiplicity of the eigenvalue=1 is…

A: Given : A=1301   , λ=1 Define : Algebraic Multiplicity and Geometric Multiplicity To Find : Eigen…

Q: ) Prove part (a) assuming that the domain D enclosed by the simple closed curve C with positive…

A:

Q: Route 1 has a free flow travel time of 10 minutes and the average travel time on this route…

A:

Q: • ƒ(x1,x2) = (x₁ + 2x2 − 7)² + (2x1 + x2 − 5)² • f(x) = n-1 i=1 (100(x₁+1 − x²)² + (1 − ₁)²), where…

A:

Q: Consider the problem What is its solution (x*, y*)? Select one: a. (x*,y*) = (16, 256) O b. The…

A:

Q: For Problems 33-34, use properties of the inverse to prove the given statement. 33. If A is an nxn…

A:

Q: Verify that the given functions y1(t)=t, y2(t)=t?^t are solutions to the homogeneous equation…

A: To verify the  functions is solutions we derivative the functions then we find value in given D.E…

Q: Find the Laplace Transform of L{e2t - sin(4t)}

A:

Q: Use Lagrange multipliers to find the minimum and maximum values of f(x, y) = x + 3y, subject to the…

A:

Q: A rectangular piece of cardboard that has dimensions 50 cm X 30 cm will be formed into the base of a…

A: Let the blue rectangle have length 50cm and width 30cm and the yellow square have length x cm. So,…

Q: A hazardous material was found to decay at a rate proportional to the amount present. Initially,…

A:

Q: b. Minimization problem with ≤ constraints only Find the optimal solution of this LP. min z = 4x₁ -…

A:

Q: Graph: y=10sin(3pi(t))+115. Please show intervals

A: Consider the given function, y=10sin3πt+115 So, it can be observed that, ampltude=10angular…

Q: The domain and target set for functions f and g is the set R .f(x)=2x, g(x)=3x Select the correct…

A: Let f: X→Y and g: Y→Z be two functions then f∘g: X→Z Note: f∘g=f(g(x))