Calculate and simplify as much as possible the perimeter and area of the entire figure at the right. Perimeter = Area = 51 d 2

Q: solve the initial value problem   xy' + 4y = 3x^2, y(2) = 4

A:

Q: (b) Write out a first-order differential equation of p. Bartleby Expert Solution for (b): Answer:…

A:

Q: A relation R is defined on Z by a R b if a³ ≡ b³( mod 5). Prove that R is an equivalence relation.…

A:

Q: Consider r¹7 in Q[r]. (a) Find the splitting field E of over Q. (b) Compute [E : Q].

A: Given: x7-7 in ℚxTo find: a) Splitting field E of  x7-7 in ℚx              b) E:Q

Q: 9. Let F be the function such that F (n) is the sum of the first n positive integers. Give a…

A:

Q: Find the Fourier Transformation of II (+-2) Select one: ○ e-3jxf sinc(f) -2j*f sinc(f) ○ ejf sinc(f)…

A:

Q: (D3 - 2D2 - 5D + 6)y = e3x, Find Yp 8. 1 3x e 0 b. 0 c. 0 d. 10 xe 1 10 xe 10 3x 10 0 e. none e 3r 3

A: The general solution of a differential equation is the sum of the complementary solution and the…

Q: Explanation of Solution Given information: The equation is z = xy and Calculation: Consider the…

A:

Q: If f is the Fourier series of g(x)= √3, [16-², -4 < x < 0 then 0≤ < 4 f(2)=¯ + 2 [(0) cos (1 x) + (…

A: Given:  gx=3,   -4&lt;x&lt;016-x2,   0≤x&lt;4To do:  Find Fourier series of g(x) and call it f(x).…

Q: what is the difference between a polynomial and a power series?

A:

Q: Prove that the series 1(-1) ²n converges uniformly to a function f on every bounded interval, but…

A: Answer :-

Q: 1. Consider the curve in parametric form x (t) = t³ - 3t y(t) = 3t²-9 a) Find the point(s) where the…

A: Slope of tangent line to any curve dydx For any parametric curve x(t) , y(t) dydx=dydtdxdt Note :…

Q: If f is the Fourier series of g(x) = = f(x) = 32(-1)"+1 n²-² [16-z², What does f(-4) equal? f(-4)…

A:

Q: The left end of a rod of length I is held at temperature 130, and there is heat transfer from the…

A: Given: The left end of a rod of length L is held at temperature 130, and there is heat transfer from…

Q: Draw a graph with numbered nodes and numbered, directed edges whose incidence matrix is A || 1400 -1…

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

Q: Points A and B are separated by a lake. To find the distance between them, a surveyor locates a…

A:

Q: The following graph shows the average American household debt h as a function of the date d.…

A: Given h(d) represents household debt as a percentage of disposable income.

Q: a. Differentiate the Taylor series about 0 for the function f(x) = 2x b. Identify the function…

A:

Q: The temperature at a point (z, y, z) is given by where T'is in degrees Celsius and z, y and z are in…

A:

Q: The Fourier series of the function is given by where Co = C₂ and b₂ f(x) ~ -Σ ~CO- n=0 [-7x if =<x<0…

A:

Q: Double Angle Formulas. Find sin 2x, cos 2x, and tan 2x from the given information. 4 3 tan x=-- x in…

A:

Q: State whether the given system is autonomous or nonautonomous and also whether it is homogeneous or…

A:

Q: b. 5.x² 4 C. 4 d. 5x² 12 2

A:

Q: Identify the function represented by the following power series. 8 2 k=1 xx | x Click the icon to…

A:

Q: Find the eigenvalues of A, given that A = and its eigenvectors are The eigenvalues are -1 7 -4 16 -8…

A:

Q: Suppose that P₂(x) = a +bx+cr² is the second degree Taylor polynomial for the function f about z =…

A:

Q: (d) How many functions f: A→ A are there so that fRIA? Explain.

A:

Q: Which of the following graphs are Hamiltonian? A. B. C. F 41. D. U S Q X R P Q

A: A connected graph is said to be a Hamilton graph if one can write a cycle that includes each vertex…

Q: Question: I need help with this Discrete Mathematics problem. Prove by induction that integers n> 9…

A:

Q: The following are goals scored by a soccer team at each game in their recent season. 0 1 11 1 1 1 2…

A:

Q: 4. Solve the two-point boundary-value problem Jy" + 2y' + 10x = 0, [y(0) = 1, y(1)=2 for y() and y()…

A: Given : The equations  y'' + 2y' + 10x = 0,y0 = 1,    y1 = 2   To solve : The two-point…

Q: prove or disprove the following statement: “If n is an odd integer, then n^2-n is odd"

A:

Q: Use induction to prove: 7 - 1 is divisible by 6 for each integer n ≥ 0.

A:

Q: Set-builder and interval notation Graph the set {x|-6<x<-2} on the number line. Then, write the set…

A:

Q: dx-x²dy )dx + (xy- dx + x²dy = dx + 2xydy -t√t² + x² tx =(y/0) + y Ө

A:

Q: 5. Solve the initial value problem (a) y" - 4y + 3y = 0, y(0) = 7, y'(0) = 11.

A:

Q: (a) Let S be the standard ordered basis of R3. Determine the change of basis matrix from B to S. Let…

A: Kindly refer to Step 2 for the solution.

Q: Let P, be the vector space of all polynomials of degree 72 or less in the variable z. Let D: P3 → P₂…

A:

Q: e general solution to y" - y' + (81x¹ −72) y = 0. X

A: Given    y''-5xy'+81x4-72x2y=0  Here we use the formulas:  to find Integrating Factor(I.F)=e∫P(x)dx…

Q: The output y(t) of an LTI system is related to the input x(t) by the following equation; d y(t) - 4…

A:

Q: Se-x² 0 dx

A:

Q: Consider the equation 12 sin x = 6 √2 for real values of x. a) A student states that this equation…

A:

Q: Identify and graph the polar equation. r = 2-3 cos 0 -12-10 3 6 www. 10 9 e N WY 1990 10- N * 10 12…

A:

Q: 20²u 8²u O A. a²²² dr 8²u du At least one of the answers above is NOT correct. B. **əz² 8¹u "əx² O…

A:

Q: (1) (2) (3) Differential Equation dy sin(x + y + 2) dx x²y" xy' + e* = 0 dx dt. = = √3 - cos x DV IV…

A: Since you have posted a multi subparts question according to guildlines I will solve first three…

Q: Write the following equations in first-order form so that they could be simulated with ode45. a) mx…

A: Note: The important thing to remember is that ode45 can only solve a first order ODE. Therefore to…

Q: A = The eigenvalue X₁ is eigenspace is eigenspace is 0 The eigenvalue X₂ is - has two real…

A:

Q: (c) ry"+y = 36x

A:

Q: Let R be the relation de ned on Z by aRb if 3a + 2b  0( mod 5). Prove that R is an equivalence…

A: To show that R is an equivalence relation we have to show that it is reflexive symmetric and…