Convert (-2, 2, 3) from Cartesian ? coordinate to cylindrical coordinate (4-,3.46,1.5) O (3,45,1.41) O (1.04,1.04,8) O (0.785,90,1.04) O

Q: The following table shows the average yearly tuition and required fees, in dollars, charged by…

A: The table shows the average yearly tuition and required fees. Date Average tuition 2012 $27,870…

Q: (8) Show that for a field F, the set S of all all matrices of the form a b (88) 00 for a, b F is a…

A: An ideal is a special kind of subring of a ring R. If a∈I and r∈R implies that ra∈I then, the…

Q: Find lim (3x³ +√9x6 − 2x³) x418

A: Given limit is limx→-∞3x3+9x6-2x3 Here we take a substitution x=-x So we have…

Q: b) Why is the formula Q[\S; «, b} − }{/S (a) + } ƒ ( ª + b) + a,b] = 1 a f( 2 1 = f(b) (1) not a…

A: To Explain: Why this formula Q[f;a,b]=12f(a)+13fa+b2+14f(b) is not a Newton-Cotes formula.

Q: if the root of the equations is Xlog X-1.2=0 located between 2.8 522-7 of the root using the wrong…

A: In this question, the concept of the wrong position method is applied. This method is also known as…

Q: h(x, y) = xy2/3 + xy x⁹ +2y³ 1 √3' us at the point (0, 0) or not. If not, determ

A:

Q: 2.1 For each of the following statements, find a graph with the required property and draw it. (a) A…

A:

Q: dy dt 3 + ty = 1+t, y(2₂) = 0 Solve this ordinary Differential Equation please

A: Sol:- dydt+ty=1+tA first order linear ODE has the form of y'x+pxy=qxSubstitute dydt with y' y'…

Q: 4. Write the surface z = x² + y² in cylindrical coordinates (simplify its expression if possible). 2…

A:

Q: 150 x₁ - 15x₂ + x3 = 1500 2x₁ + 120x29x3 = 1200 2x₁-22x2 + 110x3 = -900

A: Given system of equations are 150x1−15x2+8x3=15002x1+120x2−9x3=12002x1−22x2+110x3=−900............1…

Q: Use the method for solving equations of the form dy dx -=2 sin (10x-5y) |ð = G(ax+by) to solve the…

A: We have to solve the given differential equation in the form of F(X,Y)=C ,where C is an arbitrary…

Q: Linear operators satisfy the relation Â(c₁f₁(x) + c₂f₂(x)) = C₁ƒ₁(x) + C₂ƒ₂(x) For the operators Q…

A: Given : Q^=T^2 where T^=-h22md2dx2 Condition for linear operator : A^c1f1x+c2f2x=c1A^f1x+c2A^f2x To…

Q: 6) Calculate the internal horizontal angles a, b, and c as shown in Figure 1 and present them in…

A: Given and

Q: 0.1x₁0.4x2 +0.6x3-11-0 -0.2x₁ +0.5x₂ -0.1x3 = 6 0.3x₁ +0.7x₂ -0.8x3 + 9 = 19

A: 1st we will simplify  equations given and then use  cramers rule to solve it

Q: Solve the differential equation: (x + y)dx + (x + y²)dy = 0 By using the exact equation.

A: Firstly we comparing the differential equation with P dx+Q dy =0 then we check it is exact or not…

Q: b) If their positions are po -8 = (-3) ₁₁ = (*), d 6 do they collide?

A: Introduction: The curves r1 and r2 must yield the same vector for given t and s in order to cross…

Q: (13) Let R be the set of all matrices with rational entries, M₁(Q), of the form abe 0 a b 00 a Show…

A: 1)R is said to be commutative if you can swap them i.e  ab=ba. 2)R/A(Quotient Ring) is a field if…

Q: Example 8: (a) Use the Midpoint approximate with n = 6 equal subintervals to approximate the…

A: Solution:

Q: (1) A scalar matrix A is an n x× n matrix such that for some real number r and all n × p matrices B,…

A:

Q: 2. The table below lists the annual land-line phone cost per costumer: Year 2012 2013 2014 2015 Cost…

A: The linear regression is used to fit a data set into a linear equation of the form: y=mx+b. The…

Q: dy/dx=2+√(y-2x+3).

A: Given differential equation is dydx=2+y−2x+3.......1. We have to find the general solution of the…

Q: if (x, y) = (0,0) if (x, y) = (0,0) (a) Show that g has an essential discontinuity at (x, y) =…

A: Let us consider the given function f(x,y) Discounitnuity is essential discounitnuity at a if the…

Q: 1. Solve the D.E. xy³ dx + (x²y² + 1)dy = 0

A:

Q: 2. If TA'AA' = A', then K = TA' is the Penrose inverse of A. Use this principle to find the Penrose…

A: Given: In this problem, the given matrix is A=011011110 If TA'AA'=A', then K=TA' is the Penrose…

Q: Consider the following system of linear equations: x₁3x2+3x3 = -3 -2x1+7x2-4x3 = 8 -x7+2x₂-4x3 = 1…

A:

Q: If their positions are po = (-²) ₁₁ = (6)₁ ,do they collide?

A: The general equation of the circle whose position: p⇀=ab and radius: r can be defined using the…

Q: Construct the general solution of the differential equation x 2d²y +x- + (x² - v²)y= sin x dy dr.…

A: Bessel's Differential Equation : The linear second order ordinary differential equation of type…

Q: g(t) = 4e13 (t+1) cos (6π fot)

A:

Q: Rewrite I am an honor student provided that I have good grades. Contrapositive: Converse: Use…

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

Q: Pastry Monster specializes in cookies and cakes. Profit per dozen of cookies is P5.00 and the profit…

A: We will start by deciding decision variables and then form objective function . Then depending on…

Q: Please answer 2 and 3. Thank you

A: Part 2 We have x-2ydx+2y-xdy=0 A differential equation of the form Mdx+Ndy=0 is exact if ∂M∂y=∂N∂x…

Q: - There are two identical right triangles with 30° angles partially overlapped as shown. If the area…

A: We have to find the area of overlapping region . Required area=area of ΔABC- area of ΔAEG  So…

Q: 6. Let A and B be two open subsets of R". Show that their intersection An B is also an open set. 7.…

A:

Q: Let g(x, y) = x² + y² x² + 1 (a) Sketch the level curves of g at levels k = 1,2 on a common…

A:

Q: Pedro, who deposited P500,000.00 today with a financial Institution M, agreed with the latter that…

A:

Q: Q1: prove the following: a. Prove that For all real numbers x and y, if x +y 22, then either x ≥1 or…

A: a. We will prove  for all real numbers x and y, if       x + y ≥ 2 , then either x ≥ 1 or y ≥ 1 by…

Q: Please do and explain part d)

A:

Q: One article shows a relationship between per capita health care spending h, in thousands of U.S.…

A:

Q: 3. Find the value(s) of x when f(x) = 5e* is parallel with 5x - 2y = 1.

A: (3). Given function is f(x) = 5ex.       We have to find the value of x when f(x) is parallel to the…

Q: 1. Find the equation of the plane that passes through the points (1,0,-1), (0,2,3) and (0,0,5) in

A: Introduction: An indefinitely long, smooth, two-dimensional surface is known as a plane. A point, a…

Q: Consider g(x, y) = -5x²y³ 3x4 + 7y6¹ 0, (a) Show that 9 (b) Find g (0,0). if (x, y) = (0,0) if (x,…

A: The given function is                   g(x,y) = -5x2y33x4 + 7y6 , if x,y ≠0,00 ,               if…

Q: Evaluate the iterated integral I = S(9y² + 4x) dxdy

A:

Q: Evaluate the definite integral by expressing it in terms of u and evaluating the resulting integral…

A:

Q: Convert the following polynomials to factorial polynomials 1. x³ + 8x² - 4x - 1 2. 2x45x³ + 2x² - 4x…

A: The given polynomials are: 1. x3+8x2-4x-1 2. 2x4-5x3+2x2-4x+9 3. x4+2x3+x2-6x-4 We have to convert…

Q: Find the solution of the DE y' a. y² = -x² (1-In(kx²)) b. y² = x²(1-1) c. y² = -x² (2+ In(kx²) 2 d.…

A:

Q: An investment grows according to the formula B = 8000 x 1.0085¹ dollars, where it is time, measured…

A: We have to solve given Questions.

Q: Jessie is purchasing a new car at a dealership that is offering a discount of 15%. The dealership is…

A:

Q: 1. Find lim 12/13 - 12/1/20 x3 8 x→2- x² - 4x + 4

A:

Q: The representation of an even integer is 2k; and that for odd is 2k+1 or 2k-1 for some integer k.…

A: (1). Definition of Even integer- The number which are divisible by 2 , is called Even integer. For…

Q: 1. Convert the following linear program below into standard form. Solve the standard form problem,…

A: The given linear program problem is: maximizex1, x2, x3 3x1-x2+4x3   s.t.…