5. Find the plane Moment of Inertia of the given plane area y=4-x², x=0, y=0, about the x-axis and y- axis?

Q: the limit cannot be zero for part b?

A:

Q: Du те Әи +(-u) =y-x. ду

A: Given P.D.E u-y∂u∂x+x-u∂u∂y=y-x ∴dxu-y=dyx-u=duy-x Then  dx+dy+duu-y+x-u+y-x=dx+dy+du0 Also…

Q: Algebra Write a homogeneous equation using the set {v1, v2, v3, … vn}.

A: Let,        The given set can be denotes by S S={v1, v2, v3, ... vn}. Next,  Taking the scalars a1,…

Q: Prove: For all prime number a,, b, and c, a² + b² ‡ c². [Hint: a² = c² − b² = (c − b)(c + b)]

A:

Q: Find the volume of the solid that lies under the hyperbolic paraboloid z = 3y2 − x2 + 3 and above…

A:

Q: 2. Prove that the general solution to ndm + mdn + mn (3dn + dm) = 0 -37-m is Cmn = e

A:

Q: [(4+5)-(2+4)]³+4-3-2

A:

Q: dy 2 + dar True False = r² cos ry² y= is a Bernoulli Equation.

A: The given Differential Equation dydx+2xy=-x2cos(x)×y2 is a Bernoulli Equation

Q: Find the general solution to the DE ye ²x dx - (4+e ²*) dy = 0 2x using two (2) methods with same…

A: The given differential equation is:                                         ye2xdx-4+e2xdy=0

Q: Consider the DE: tant (y")6 + 7e²t (y")10 - 2ty' = 87t² +6t³+1 + a) Its order is b) Its degree is (y…

A:

Q: using numerical method find the integral of the function y(x), as p(x) = f y(x) dx which it's lot is…

A:

Q: Find the values of a, b, and c that make the following matrix symmetric. 3 a 2-b 4 0 a+b 2 7 C…

A: Given matrix is 3a2-b40a+b2c7

Q: Write the system first as a vector equation and then as a matrix equation. 8x₁ + x2 3x3 = 9 4x2 +…

A:

Q: Calculate the credit given for the partial payment and the net amount due on the invoice (in $).…

A:

Q: I Show that every open sart in a motric union of open balls. л spack :)

A: A set S is open iff every element of S is an interior point of S, s is an interior point of S if…

Q: dy 4. = dx (sin x) cos y (a) y(0) = 1 (c) y(3) = 3 4 2 -4 -4 (b) y(1) = 0 (d) y(0) = -5/ 2 -2 y 2 4

A:

Q: Q4 Find all values of k so that y = ekx is a solution of 2y" + 5y′ − 3y = 0. -

A:

Q: 7.2. A consumer has a utility function u(x₁, x₂) = max{₁, 2}. What is the consumer's demand function…

A:

Q: f(x) = [-2]-, if I ≤0 CSC se ¹(3 lmz), if 0 2

A: We know that a function fx is continuous at x=0 if limx→0-fx=limx→0+fx Given  fx=-x-πif x≤0…

Q: Obtain the particular solution when x = -1 and y = 0 1 (2x + 3)dy = ydx + (2x + 3) dx

A:

Q: II. Determine the point(s) of intersection, m, and m₂, and the angle(s) of intersection of the given…

A: The given two curves are 2y=2x2-6x+7, and 2y=x+4. We have to fill this table according to the given…

Q: [2] True or False? If wrong, explain what is wrong or find an example to justify your conclusion.…

A:

Q: Find the amount of interest on the loan Principal: $70,000 Rate: 7 3/4% Time: 9 months

A:

Q: B. 3y² + 2xy = 8 d TL Equation of tangent line m, NL Equation of normal line

A: Given: Curve is  3y2+2xy=8 . To Find : a)  First derivative dydx. b)  Slope of tangent . c) Equation…

Q: Solve the given differential equation by separation of variables. dy dx = sin(6x)

A:

Q: If st", find 08/0t, as/Ou.

A:

Q: The rooms in a house are adjacent as indicated in the following table. An '*' means they are…

A: Solution: Let us start coloring the graph from vertex K and then proceed sequentially. Let us color…

Q: ∞ (a) Is Examples. Justify your answers briefly. B÷-1²1) n n+ n=1 plain your answer! conditionally…

A:

Q: Given f(x, y) = x³y − 3xy + y² – 1. (a) Find the critical points of f. (b) Use the Second…

A: The given function is f(x,y)=x3y-3xy+y2-1 To find the critical points find the partial derivatives.…

Q: Principal Rate (%) $145,000 14-1/2 14¹ Time 8 months SA Interest X LA Maturity Value X

A:

Q: 49. Let A and B be n x n matrices such that AB = I. Prove that |A| ‡ 0 and |B| ‡ 0.

A: Use the following lemma: If A and B are both n×n matrices, then det(AB)=det(A).det(B)

Q: ` Prove that positive real numbers a, b, c, d, b 2 + > 3.. a b+zc+3d +c+zd+za+d+za+36 d a+zh+30

A:

Q: Find all the zeros and their multiplicities of x5 + 4x4 + 4x3 - x2 -4x + 1 over Z5.

A: Residues and zeroes of the polynomial

Q: The sum of 3 numbers is 8196. One of the numbers is 988. What might be the other two numbers ? How…

A:

Q: The matrix A 0 4 0 0 -4 -8 has two real eigenvalues, one of multiplicity 1 and one of multiplicity…

A:

Q: differential Solve the fy' xy² + 2xy = ху ху (9 (0) = 1 equa hon

A:

Q: 1. Find the third-degree Taylor Polynomial for the following f(x) = about x = 1 1 2+x 2. From…

A:

Q: E. Linear Equations 1. e-3x dy +³=1 2. cos xdy = -(sin x)ydx + dx

A:

Q: Let 13 21 1 -1 -2 2 10 2 -3 1 1-1 -7 0 0-1 1 1 3, After elementary row operations, the row echelon…

A:

Q: : An initial deposit of $11000 is made into an account now, and a second deposit of $21000 is made…

A:

Q: 9. Solve for the values of a, b, c, & d in the following System of Linear Equations using Gaussian…

A: Given the system of linear equations                      2a+3b+4c-5d=-6…

Q: VabaouT 1. Show that the propositions p and p V (p^ q) are logically gmimist Jon equivalent. theu…

A: Since you have asked multiple questions, we have solved first question for you.

Q: An initial investment amount P, an annual interest rate r, and a time t are given. Find the future…

A: Given, Initial investment amount (P) = $1500 Annual interest rate (r) = 4.05% = 0.0405 Time (t) = 7…

Q: Use a graphing utility to graph the region bounded by the graphs of the equations. y = 529-x², y = 0…

A:

Q: I'm confused about the first part of the solution where it says we know 0x < 1. Is that supposed to…

A:

Q: I thought the derivative of sin(e2x) was 2e2xcos(e2x) but in the answer we just have…

A:

Q: Tisider the following. y = x6/7-6 Find the critical numbers. (Enter your answers as a…

A:

Q: Solve the Following Math Logic: 1. (q^~p) v q q (pvq)-r р q Р r ~p ~q 79 (q^~p) (q^~p) v~q. (q)-

A: Given that the statement1. q∧~p∨~q2. p∨¬q↔r

Q: Use Laplace transforms to solve the initial value problems y" - 6y + 5y = 29 cos 21, y(0) = 3.2,…

A:

Q: (b) (c) (d) (e) dy=3x²(y-1) dx dy_y+2 = dx x+1 dy dx -+e*y² = 0 dy dx -= cos x tan y hotnes

A: