2. Determine the centroid of a solid generated by revolving the region bounded by y = 2- x², x = 0, y = 0 about y-axis.

Q: A two-dimensional vector field describes ideal flow if it has both zero curl and zero divergence on…

A: Given: F→=ex cos y, -ex sin yTo find: a) ∇·F→ and ∇×F→              b) Potential function φ and a…

Q: - Integrating Factors Found by Inspection 3._ y(x²y² −m)dx+x(x²y² +n)dy=0_whenx = e, y = 1

A:

Q: The table displays the number of fish in a pond after a given amount of days. 2 31 Day Number of…

A:

Q: The population of Canada grew 2% in 2019. If the population in 2019 was 37.59 million people, what…

A:

Q: A school is installing a flagpole in the central plaza. The plaza is a square with side length 100…

A:

Q: function given by Suppose that X and Y have a joint probability density if x, y ≥ 0 otherwise fx,y…

A:

Q: (use the

A:

Q: Let r ERQ. Prove that for all a, b, c EQ, a brcr iff a = 0 and b = c. +

A:

Q: Let ƒ(x) be a continuous function in the interval [xx]. Show that error term for Trapezoidal rule is…

A:

Q: Let S be a non-empty open connected subset of R². The number of possible continuous onto functions…

A: Solution given below.

Q: Let u = f+cK* u with c real and K(x) = H (x)be-bx, b>0. (a) Find the general solution.

A:

Q: If x1, x2 are the solutions of the equation = 1 496x+1, compute the value of x1 + x2). Select all…

A: Given, if x1, x2 are solution of the equation                               74x2=1496x+1.

Q: 3. Use the following information to answer the next question. The graph of y = f(x) includes the…

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: 2. Find a Fourier series particular solution for nonhomogeneous vibration equation where the…

A: Given: Vibration equation, d2udt2+u=Ft. The graph of Ft is as follows-To find: Fourier series…

Q: 4x 3 - 3x - 2 = 0 2=0 |

A:

Q: Find the vector v with initial point P and terminal point Q. P(5, -5, -1), Q(0, 0, -1) V=

A:

Q: , Let p be an odd prime. Prove or disprove the following statements. (a) If p = 2 + 1, then every…

A:

Q: Christian is going to invest $9,400 and leave it in an account for 18 years. Assuming the interest…

A:

Q: 3. The triangular prisms shown below are similar. What are the values of x and y? 8 cm 20 cm X 4 cm…

A:

Q: 2. Determine an equation for a cosine function that has a period of 1800°, an amplitude of 3, a…

A: Given that Period =1800°amplitude=3vertical shift =4 phase shift =225°

Q: A real quadratic form in three variables is equivalent to the diagonal form 6y + 3y + Oy. Then the…

A: If we have a quadratic form q(x1,x2,x3,.......xn)=xTAx be a real quadratic form where A= aij be a…

Q: Use Simpson's rule with 4 strips to approximate S₁²√1+x²dx

A:

Q: Starting with the graph of f(x) = 4x, find a formula for the function that results from: Shifting 4…

A: The given function is fx=4x. If the function fx is shifted a units upwards then the formula of the…

Q: 5. The figure below is a scale drawing of a garden. If the scale used is inch = 3 feet, then what is…

A: The garden has measures 12in and 134 in. We have to find the perimeter of the garden.

Q: 2. Two classes took an exam. In the first class, the average score was exactly 78%. In the second…

A: 2. Given that, Two classes took an exam. In the first class, average score was exactly 78%. In the…

Q: CC For the iterated integral (A) sketch the region in cartesian coordinates; (B) evaluate the…

A:

Q: 2. Express as a single power series form: ²[₁ n=2 x2 n(n-1)anxn-2 + 00 n=0 anxn

A: Given that the power series x2∑n=2∞nn-1 anxn-2+∑n=0∞anxn

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

A: Given differential equation is: y''+1x2-1y'+1x+2y=0x0=2 Now, at the singular points,…

Q: Graph the data and observe the relationship between x and y, is it linear or nonlinear? Predict…

A: Here first we need to plot the given points on xy - plane and then we need to observe the curve of…

Q: Consider the vector field a (- (−26 · x² + y)i + (−52 · x · y + 42 · y · z)j + (24 · x² · y − 99 ·…

A:

Q: Write the following expanded form into SINGLE EQUATION

A:

Q: For the given matrix A What is the rref of A. What is the rref of AT A = [1 2 1 1 -1 21 0302 5 1 4 5…

A:

Q: Jay-R manufactures lemon-flavored soft drink called Lemona by combining lemon soda and lemon juice.…

A:

Q: Row reduce the matrices in Exercises 3 and 4 to reduced echelon matrix and in the form. Circle the…

A:

Q: (a) Let (an) be an increasing sequence of real numbers bounded from above and (bn) be a decreasing…

A: (a)  (i) Take  an=tan-1n  and  bn=-n  . Then       {an} is an increasing sequence of real numbers…

Q: (a) Prove that −A defines a cut.(b) What goes wrong if we set −A = {r ∈ Q : −r /∈ A}?(c) If a ∈ A…

A: To Do: (a) We have to prove that -A defines a cut. (b) What goes wrong if we set -A=r∈Q : -r∉A? (c)…

Q: skip if you already did this or else downvote

A:

Q: ou are the loan department supervisor for a bank. This installment loan is being paid off early, and…

A:

Q: The graph shows the population of bacteria in a culture. a) Determines the average rate of variation…

A: Average rate of variation of a function f(x) between x=a  and x=b  Ax=fb-fab-a

Q: 32 48 м² пр мочр 3 4 32

A:

Q: L 25+1 2 5² +2st s

A:

Q: p.d.es (a)2z = Eliminate a and b from the following equations to form the +q9 suivio2 101 bodiem…

A:

Q: Let V = R². Show that V is not a real vector space with respect to the following operations of the…

A:

Q: Let A, B, X ∈ Rnxn  be matrices such that det(B) = det(A) − 1 and 3A2 X= XB. Determine det(X).

A: detB=detA-1

Q: Find the solution of the system using Gauss elimination. (Enter your answers as a comma-separated…

A: The given system of linear equations, -15x+5y=1012x-2y=-16 We have to find the solution to this…

Q: 5. Consider the quadratic equation : 2x² − 2(m − 1)x + m − 1 = 0. Find the range of the value(s) of…

A:

Q: i) Solve the following system of equations using Gauss (or Gauss-Jordan) elimination: 3x+y =-2 4x…

A:

Q: The system in Fig. 1 can be described by the following differential equation: x(t) + 3x(t) = u(t)…

A:

Q: PATstorm y"(t) — 2y' (t) + 2y(t) = cost, y (0) = 1, y'(0) = 0 M

A:

Q: (b) y'(t) — 4y'(t) = 24 cos 2t_y(0) = 3, y'(0) = 4

A: