Suppose that you have 3 and 8 cent stamps, how much postage can you create using these stamps? Prove your conjecture using strong induction.

Q: 100000000000000000000000000000002345679696.3030000003 divided by…

A: Solution

Q: PROBLEM S Prove that in any bi-right quadrilateral CABDC, ZC> ZD if and only if BD >AC. (Assume ZA…

A:

Q: The following is the data of inflation rates in th

A: Given,   Year Inflation  rate 2019       2.48% 2017      2.85% 2015     0.67% 2014…

Q: Explain how to solve a trigonometric equation graphically.

A: To solve trigonometric equation graphically, Step 1: Plot the corresponding curve for the values 0,…

Q: 3) Evaluate the iterated integral by con polar coordinate, the to √₂x-x² ( aj Ky²ty² dydy

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

Q: A hot air balloon rising vertically is tracked by an observer located 4 km from the lift-off point.…

A:

Q: 3. Find the Taylor series of f(x) at the given value.. X £.(x)... b. f(x) = cox az ..A=... a. C. X…

A:

Q: Use a triple integral to determine the volume V of the region below z = 6 - x, -2√x² + y² inside the…

A:

Q: 1 0 5 -2 0 1 4 1 0 0 0 0 Row 1 - x1 + 0x2 + 5x3 = -2 Row 2 - 0x1 + x2 + 4x3 = 1 Row 3 - 0 = 0…

A: Given: System of equations, x1+0x2+5x3=-20x1+x2+4x3=10=0 To find: The solution of given system.

Q: You have a set of N dice, where each die d has m faces numbered 1, ..., m. How many ways are there…

A: Let the function for determining X from n dice be: total (m, n, X) Sum(m, n, X) = Finding Sum (X -…

Q: Show that a union of any finite points of bounded subsets of a metric space is bounded

A: One way to prove this result is to take each set in the union and pick a single point to be its…

Q: al P(x) = (x - emainder is -7.

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

Q: Find the z-score for the given shaded region under the standard normal distribution. Round your…

A:

Q: Find of the ay+2²7 the revolving Curve x = 2 0≤y in 2 about the y-axis is The area, S, of the…

A:

Q: GRAPHS 1 2 3 4 5 6 7 8 PATH 5 Edges 2 6 3 7 TRAIL 4 8 Edges WALK Edges

A: Walk: A walk is a sequences of vertices and edges of graph i.e. if we traverse a graph then we get a…

Q: 2. Find the maximal interval of existence and uniqueness of the solutions to y' = e√1-1²-y², y(0) =…

A: Solution: Given,y'=e1-t2-y2,    y0=0We know that  by existance and uniqueness theorem,The initial…

Q: The variable a is the length of the ladder. The variable h is the height of the ladder's top at time…

A: Using the Pythagoras theorem  a2=h2+x2x2=a2-h2 differentiate with respect to t Therefore…

Q: A region is enclosed by the equations below and contains the point (2,8). y = 8 sin(), y = 8(x -…

A: Given :y = 8sinπ2x , y = 8(x-2)2, y = 7x+1   (1) Area volume obtained by rotating region about…

Q: Consider y' - 2y = 3e2x with y(0) = 2. Using Runge-Kutta method with h=0.1, the k₂ needed in the…

A: Correct option is option (a) 0.80155

Q: Suppose you place a $35 bet on a horse with a 2:7 odds against winnning. Determine the winning…

A: Solution :-

Q: dw dw as a function of t, both by using the chain rule and by expressing w in terms of t and…

A:

Q: Let B=Qn (0, 1) be a subset of R. Consider a function f: N→ B defined by f(n) = an where an nEN. (a)…

A:

Q: Use the WASHER METHOD to set up (a sum of) definite integral(s) that is equal to the volume…

A: (c) We are asked to set definite integrals using the washer method for the volume generated when the…

Q: The arc of the parabola y = x^2 from (1, 1) to (2, 4) is rotated about the y- axis. Find the area of…

A: Given: The arc of the parabola y = x^2 from (1, 1) to (2, 4) is rotated about the y- axis.

Q: A model for a certain population P(t) is given by the initial value problem

A: Introduction: A differential equation is an equation that contains the derivative of an unknown…

Q: The actual error when the first derivative of f(x)=x-2lnx at x = 2 is approximated by the following…

A: Solution:-

Q: The demand function for a commodity is given by D(z) = 2000 – 0.1z – 1.01z² Find the consumer…

A:

Q: 1/q + 1/r + 1/p =1/m p, q, r are pr

A: Given: An expression 1q+1r+1p=1m, where p, q, r be the primes and m be the natural numbers. To find:…

Q: Find the equation for (a) the tangent plane and (b

A: Given, the surface                      4z-x2=0 and the point P0(4, 0, 4).

Q: Let R be the set of real numbers equipped with the standard topology. Let A and B be two subsets of…

A:

Q: 7. Determine which of the following functions are differentiable at all the z-plane or some region…

A:

Q: Given a smooth function f such that f(-0.2) = -0.91736, f(0) = -1 and f(0.2) = -1.04277. Using the…

A:

Q: ABC and CBD are two angles each equal to 60°. A point O is taken inside the angle ABC and the…

A:

Q: 5. Find all analytic functions f such that Ref + Im f = xy.

A:

Q: Constructa quadratic spline interpolating (-190), (6₂1) (123)

A:

Q: PROBLEM S Prove that in any bi-right quadrilateral CABDC, LC> ZD if and only if BD > AC. (Assume ZA…

A:

Q: a Define a relation on by (a,b) ER if and only if - EN. Which of the following properties does R…

A:

Q: B. Find the area of the region bounded by the following: 18. common to 7 = 3 cos and r=1+ cos

A: 18. The given curves are r=3cosθ and r=1+cosθ. To find: The area under the curves . Please post the…

Q: (25 points) Find two linearly independent solutions of 2x²y" - xy' + (−4x + 1)y=0, x > 0 of the form…

A:

Q: Let A be an n x n matrix over C. An n x n matrix B is called a square root of A if B² = A. Find the…

A:

Q: 2h² The degree of precision of a quadrature formula whose error term is 5 2 This option This option…

A:

Q: If A and B A B e operators, show that are A+B [AB]/2 e = e

A:

Q: Let R be the set of real numbers equipped with the standard topology. Let A and B be two subsets of…

A: Solution:-

Q: Problem (i) Let n ≥ 2 and n = 2k. Let A be an n x k matrix and A* A = Ik. Find the n x n matrix AA*…

A:

Q: Q) Consider the system X = X -T 3 a) Find a fundamental matrix for this system b) Find the solution…

A: Fundamental matrix is is the matrix which have independent solution vectors of system of ode as it's…

Q: Let Q(x) be any polynomial of degree ≤ n with real coefficients and let M be the maximum of Q(x)| on…

A:

Q: The following data gives an approximation to the integral M= f(x) dx f N₁ (h) = 2.2341, N₁ () =…

A: Solution:-

Q: q and degree polynomial passes through the points (1,-1); (2,-2); (3,-1) and (4,2) Find the…

A:

Q: Let consider the following table that gives the values of a function f at some specific points: X 0…

A:

Q: The condition that the roots of the equation x³ - px²+qx-r=0 may be in harmonic progression is (a)…

A: