How many prices are between $29.99 and $70?

Q: 1) Use the limit definition of derivative f'(a) = lim h→0 f(a+h)-f(a) h X to find the equation of…

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Q: If the equation px\power{2}+(2-q)xy+3y\power{2}-6qx+30y+6q=0 represents a circle then find the…

A: In the equation px2+(2-q)xy+3y2-6qx+30y+6q=0of circle the xy term does not occurand the coefficients…

Q: Use the trapezoidal rule, the midpoint rule, and Simpson's rule to approximat √² Inc In(2 + e*) dx,…

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Q: Evaluate the line integral F(x, y, z) r(t) = = F. dr, where C is given by the vector function r(t).…

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Q: 4. Let pn be the nth prime. Show by Mathematical Induction that Vn> 5, Pn > 2n - 1.

A: Given Data: Let pn be the nth prime. To Show that : pn>2n-1 ,∀n≥5 by using mathematical…

Q: Consider the ordered bases & = {1, t, t²} and B = {1,t— 1,t² — 2t+1} in P2, the vector space of…

A: Since you have posted a multi subparts question according to guildlines I will solve first(a,b,c)…

Q: Find the general solution of the given differential equation. y = 2y + x² + 9 y(x) = Give the…

A: The given differential equation is y'=2y+x2+9. We have to find the general solution of the…

Q: Answer the following questions. a) Show that maximizing the following problem: max T wμ-r (w²Ew)'…

A: Given: Here, the given details are, a) To show that maximizing the following problem,…

Q: Show that if 9 | a3 + b3 + c3 then 3 divides at least one of the integers a, b, or c.

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Q: (4) Determine the RCF of the following matrix A € M₁(Q): 1 20 1 1 00-1 0 02 -1 0 0 A 0 1

A: Given: A=1201100-10020-1001,  A∈M4(Q)

Q: . Numerical evidence makes it plausible that there are infinitely many primes p such that p + 50 is…

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Q: Find the equation of the graph given below. Notice that the cosine function is used in the answer…

A: Given that the following graph is                        .

Q: Find the equation of the tangent at the endpoints of the diameter of circle (x − a)² + (y − b)² =…

A: Solution is given below:-

Q: 11. If a set has empty interior, then so does its closure. 12. The closure of a set coincides with…

A: We need to show whether the given statement "If a set has empty interior, then so does it's closure"…

Q: Consider the network below. Use linear algebra to find the general flow pattern of the network…

A: The given general flow pattern of a network is: We need to find the general flow of the network.

Q: b) Find all the analytic functions for which Rez = Im f(z)

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Q: 1. How much money would you need to deposit today at 5% annual interest compounded monthly to have…

A: Q1)Formula for compound interest is given below-A=P(1+rn)nt A=final amountP=initial amountr=rate of…

Q: . Find the angle between the two tangents from the origin to the circle…

A: (a) Any line through (0,0) is y-mx=0. It is a tangent to the circle (x-7)2+(y+1)2=25…

Q: A particle moves along the x-axis and is defined as x(t) = f(y² - 8y - 9) dy, where x(t) is measured…

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Q: The independent variable x is missing in the given differential equation. Proceed as in Example 2…

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Q: Is it possible to prove that lines p and q are parallel? If so, state the postulate or theorem you…

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Q: Use the Hyperbola Graphing Procedure 16x2+64x-9y2-18y-89=0

A: Given that 16x2+64x-9y2-18y-89=0

Q: In this question, you will work step-by-step through an optimization problem. Many airlines…

A: Since you have posted a question with multiple sub-parts, we will provide the solution only to the…

Q: The matrix M = L - A2 = 0 0 -2 -2 0 -2 -2 0 -2 Find the eigenvalues and an orthonormal basis for…

A: Given: The given matrix is M=-20-200-20-2-20-200-20-2. The eigenvalues of the matrix M are λ1=-4 and…

Q: The probability that a person has a certain disease is 0.05. Medical diagnostic tests are available…

A: Solution is given below:-

Q: 5) Compute the following limit if it exists 2 (x+y)³² - (x-g) ty lim (x,y)=(0,0) (012)

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Q: Solve for the orthogonal trajectories. x² (3k-x) - ky² = xy² 2 хуч

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Q: Linear AlgebraDemonstrate each of the properties:

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Q: Generalization of Exercise 2.3.8. Suppose {xn}~_=1 and {yn}_₁ are two bounded sequences of real…

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Q: 5 8 n Does the series Σ (-1)"n4 converge absolutely, converge conditionally, or diverge? n=1 0 0…

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Q: 4 Show that if ties are broken in favor of lower-numbered rows, then cycling occurs when the simplex…

A: Given: max z=-3x1+x2-6x39x1+x2-9x3-2x4≤0x1+x23-2x3-x43≤0-9x1-x2+9x3+2x4≤1xi≥0   (i=1, 2, 3, 4) To…

Q: Luis is hiking at a park. He sees the sign shown and decides to hike to Wandering Twin Lake. Luis…

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Q: Let En, n = 1, 2,... be a sequence of measurable subsets of R. (a) If En ≤ En+1 for n = 1, 2, then…

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Q: Let D be a region bounded by y = x² and x = y². Evaluate (x² + 2xy + y²)dA D

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Q: 3. Let T: R² → R² be a linear transformation, and suppose [7], the standard matrix representation of…

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Q: K (a) Find the series' radius and interval of convergence. Find the values of x for which the series…

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Q: Given the multistep method. 3 Yi+1 = Y₁ + 3Y₁-1 determine if this method is unstable, weakly stable…

A: It is given that Yi+1=-32Yi+3Yi-1-12Yi-2+3hfti,Yi for i=2,3,⋯,N-1. The objective is to determine if…

Q: Find the inverse of the matrix A using the theorem, A-1 = 1/det(A) * adj(A)

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Q: 1. A group of students find out that the growth of the population increases at a rate that is…

A: Given Data: Let us consider the given data, ex=1+x1!+x22!+x33!+....+xnn!

Q: A craftsman wants to make a cylindrical jewelry box that has volume, V, equal to 65 cubic inches.…

A: 1)The cost is going to be based off of the surface area: SA = 2(pi)(r^2) + 2(pi)(r)(h) The first…

Q: If f and g are the functions whose graphs are shown, let u(x) = f(g(x)), v(x) = g(f(x)), and w(x) =…

A: Graph of the functions f and g are given and define ux=fgx, vx=gfx, wx=ggx. We have to find the…

Q: Consider region R bounded by the curves: y = x², x=2, y = 0. In each problem below, set up, but do…

A: y=x2x=2y=0 Note : We are allowed to solve 3 subparts at a time

Q: [1 For which value of k does the matrix A= multiplicity 2? k= k have one real eigenvalue of…

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Q: For the following exercise, write an equation for the graphed function by using transformations of…

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Q: Q2: Use forward and backward difference approximations of O(h) and a centered difference…

A: Given: The given function is P(x)=10x2+5x+1.   Let f(x) be a function, and h is some relatively…

Q: - = - The function f(x) = x³ + 4x² − 7x − 20 is graphed below. Plot a line segment connecting the…

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Q: Find the equation of the circle having center at (2, 3) and which touches x + y = 1. If x² + y² − 2x…

A: a.Provided that the (2,3) is the center of circle and this circle touches the line x+y=1 .We can…

Q: a) A = B = R and f+g: R → R is defined by (f + g)(x) = f(x) + g(x); b) A = B = R and fg: R → R is…

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Q: 11. If a set has empty interior, then so does its closure. 12. The closure of a set coincides with…

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Q: -B-E-B V₂= Let v₁ = 0 2 -5 [B] 2 Av= , and v3 = be eigenvectors of the matrix A which correspond to…

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