9. (1 f is onto. Let f: N→ P(N) be the function given by f(n) = {n}. Prove or disprove:

Q: Consider the following initial-value problem. d²y dy dt² dt Find all the roots of the auxiliary…

A:

Q: Solve the initial value problem y" − 4√√2y' + 8y = 0 with y(0) = 1 and y′(0) = 0.

A: We have to solve the following initial value problem…

Q: 2 Let S = {(x, 0) € R² : x ≤ R}. If lim f(x, y) = 0 as (x, y) approaches (0, 0) Then lim f(x, y) = 0…

A:

Q: Find ab if |a| = 4, b = 2, and the angle between a and b is π/6.

A: Dot definition is given below

Q: I need help with part b and c, please show me all the steps.

A:

Q: sin30dß-4cos2ßde = 0

A: Using separation of variables, we solve                             sin(3θ)dβ-4cos(2β)dθ=0

Q: For each real limit, explain whether it is convergent, divergent to to, or otherwise divergent (not…

A: Part a Consider: limx→3x2-2x-3x+2=32-26-33+2=9-12-35=-65 So, limx→3x2-2x-3x+2=-65 Since the limit…

Q: 9. f is onto. Let f: N→ P(N) be the function given by f(n) = {n}. Prove or disprove:

A:

Q: Prove the invalidity of the statement below Some gamblers are happy. Some idealists are not happy.…

A:

Q: given quantity. (See Example 2.) 7. the sum of an even integer and an odd integer

A: We know that Sum of even integer and odd integer is always odd integer

Q: Find the area of one the graphs of bounded by cos Xe region Sinx and

A:

Q: The two open disks B((1,2);2) and B((-2,1);1) has intersection. True or False

A: The two open disks B1,2: 2 and B-2,1: 1 We have to find there is any intersection between these…

Q: nd an equation of the following function: 5п 4 sinusoidal function that has an amplitude of 3, a…

A: Amplitude is 3 and periods is 5pi

Q: Diagonalize the following matrix: 1 13 5 7 -5 -7 -1 -1 7 not diagonalizable 60 0 -1 1 1 0-9 0 = 0 1…

A: Solution:-

Q: Find all solutions in the integers, if any, of the following Diophantine equations: (a) 136x +357y =…

A: (a)

Q: (-∞0, 2)

A:

Q: In each case, determine whether or not the lines have a single point of intersection. If they do,…

A: a Given that r→1=5t,2t−1,3t−3 and r2→=t−6,−t+5,t−9. We have to find the equation of the plane. Now,…

Q: #i a) Home Work set 3 Hualyris. Consider the series. Erinti گے ni 3 3√n (lnn) ³ Is this secives…

A:

Q: 2. Use the method of undetermined coefficients in section 3.5 to find the form of a particular…

A:

Q: The circle graph shows a breakdown of spending for the average household using 365 days worked as a…

A:

Q: 2. If X={a,b,c}, then the following sets T are topologies on X except A. T={Ø, {a}, {a,b}, X} B.…

A:

Q: 5. The function G is defined by G(x, y) = x² + 4y², if x² + 4y² ≤ 5 3, if x² + 4y² > 5. Show that G…

A:

Q: Determine the root of the function ln (x2) = 0.7 a. Analytical solution of 3 decimal-point…

A:

Q: Suppose that you earned a bachelor's degree and now you're teaching high school. The school district…

A: We know the future value of annuity is given by, A=P1+rt-1r Here, A=value of the annuity after t…

Q: The average consumption per person per year of whole milk, w, can be approximated by the equation…

A: To solve this problem first we have to determine the value of t to corresponding to the year 2022…

Q: If the perimeter of the playing field is 78 meters, what is the length of the field? 32 27 12 18

A:

Q: 5. A population of butterflies is released into a den and is growing according to the logistic…

A: Logistic equation: The differential equation that describes the logistic population model is given…

Q: The following table shows the number of fifth and sixth grade teachers in a school district and the…

A: Given that

Q: x f(x) g(x) f'(x) g'(x) 1 2 3 1 - 2 2 3 1 - 4 3 3 1 2 - 3 - 1 suppose, h(x) = f(g(x)) so, h'(1) =…

A:

Q: Solve the initial value problem, given that y₁ (3x − 1)y'' (3x + 2)y' — (6x − 8)y = 0, y(0) = 4,…

A:

Q: QUESTION 3 Determine using a truth table whether p→ (q→ r) and (p → q) - p T T T T F F F F q T T F F…

A:

Q: FIND THE A BAR, CLUSTER POINT A, INT(A), EXT(A), FR(A)

A:

Q: Answer

A: We convert given sentence into equation. And find some point then plot the graph.

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A:

Q: Find the equation of the line through the points (4,2,1) and (2,1,5) OF(t) = (4 + 3t, 2-t, 1-3t)…

A:

Q: Show solution using Heaviside function

A:

Q: Max 2x1 +8x2 s.t. 3x1 +9x2 < 45 2x1 + 1x2 ≥ 12 X1, X₂ 20

A: The given LPP is:                                            Max    2x1+8x2s.t.…

Q: 5. Prove that 11√2 is irrational.

A:

Q: Let u = (3,-1) and v = (-2,6). Then Tv=A FICIA -3v =< U-21 ||v|| = and

A:

Q: Vector Exploration (#theoreticaltools) Let u= (2,4, 2), = (0, -1, 2), and w = (-5,2,1). (a) Plot u,…

A: Given: u→=2, 4, 2, v→=0, -1, 2, and w→=-5, 2, 1 To do: (a) Plot u→, v→, and w→ on the same set of…

Q: ite Simpson's 1/3d rule and associate erro 12 1+x³ dx with step size h = 0.25, am te f:

A:

Q: Use the chain rule to find of and, where x = r cos(0), y = rsin(0), and f(x, y, z)=yz+xz+xy.

A:

Q: 'X (y+2) y² = In x + 1 g(1) = -1 yCD: find the differential équation.

A: Let us consider the differential equation of the form dydx=f(x)g(y) The differential equation will…

Q: *For each surface shown on the left, select the image on the right that represents the level sets…

A:

Q: 10) Show that [x] = −[−x] A 11) suppose that g: A → B and f: BC, where A = B = C = {1,2,3,4}, g =…

A:

Q: 2. Use the method of undetermined coefficients in section 3.5 to find the form of a particular…

A:

Q: 3.30. In Laplace's rule of succession (Example 5e ), suppose that the first n flips resulted in r…

A:

Q: The limit lim h→0 f(x) a = 1 = x^3 (1 + h)³ - 1 h represents f' (a) for some function f and some…

A: We know that: f'(x)=limh→∞f(x+h)-f(x)h and f'(a)=limh→∞f(a+h)-f(a)h.

Q: Diagonalize the following matrix: 1 7 - 1 13 5 -5 -7 - 1 7 not diagonalizable 6 0 0 -9 0 0 - 12 90 0…

A:

Q: Compute L and U for the matrix A. Find four condition on a, b, c, d, r, s, t to get A = LU with four…

A: Let us find the L and U for the matrix A using Gauss Elimination method in the next steps.