Show that each of the following are not inner products on R³,

Q: Suppose X CR, a E X', f, g: X → R, lim f(x) = L, and lim g(x) = M. Use the x-a x-a definition of…

A: Suppose   that    be two  functions.Let and We  have  to  prove  using  definition  of  limit that…

Q: Find an orthogonal set with the same span (and same number of elements) as [2] [8]} (18118)} "

A:

Q: The correct partial fraction expansion decomposition of 04+ S B x+1 B x+1 B O4 +₁+3 B S x+1 X с C…

A: We have to write the partial fraction expansion decomposition of the following expressionWe know…

Q: Prove that there are 2 different triangles with Angle A = 30 degrees , side a = 3cm and side b = 4cm…

A: Given that, Angle A =  degrees , side a = cm and side b = cm.Need to show that, there are different…

Q: 1. Use Dijkstra's algorithm to find the shortest path between u and v. } ១ ។ \O |a “ ។ 3.

A: We have to Use Dijkstra's algorithm to find the shortest path between u and v.

Q: How many positive integer solutions does the following have: X1 + X2 + X3 = 7

A: ​​

Q: (2) Apply inverse Laplace transform and find f(t) of the following: 6(5+3) S (5+1) (5+2) a) F(s) =…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Two finite length sequences are shown in the figure below. Sketch the 6-point circular convolution…

A: Given Information:Two finite length sequence as figure are given.To Sketch:The 6-point circular…

Q: John Wallis also invented a method of finding the tangent line, which we describe as follows: Given…

A:

Q: A bus system needs to be set up from Village of Westmont to Hinsdale (2.5 miles), then continues to…

A: To design a bus system we need to calculate some parameters like, determine total travel…

Q: Find an orthogonal set with the same span (and same number of elements) as 7 -5 4 4 7 (198) -10 -8…

A:

Q: Let ƒ : R¹ → Rk be a continuous function. Which of the following claims are true? Justify your…

A: Given that  be a continuous function.We know that a function  is a continuous function if  is an…

Q: Show that any two rows of a matrix can be interchanged by elementary row transformations of the…

A: Let's consider a 3x3 matrix A:To interchange the ith and jth rows, we can use elementary row…

Q: 排班 Z 35 Z10) Z where Z=1/Z₁ 了一 | 2₂ and Z [ Z₂

A:

Q: Given det det det det a b C [iii] 7d 7 e 7 f hi 2 a b c C ghi de f a b c de f ghi D b D 38 CONCURSO…

A:

Q: Find the area of the region. y=1/2x^2, y=3x^2, x+y=4, x ≥ 0

A: Given that the curves:            To find the area of the region.

Q: Assume you are given recursive algorithms (like search algorithms) that, given large inputs of size…

A:

Q: Mathematical Model for Fish Population Dynamics: The initial model equation, denoted as Equation…

A: Given  that :                      where are  constants and is  a  parameter very much less than…

Q: Two fixed sides of a triangle are 13 m and 30 m in length. The angle between them is changing and…

A:

Q: (a) Let A be a 3 x 3 matrix whose entries on the main diagonal and below the main diagonal are all…

A:

Q: What is the order of 3 modulo 101? Is 3 a primitive root modulo 101?

A: Here we have to find the order of 3 modulo 101 and find if 3 is the primitive root modulo 101 or…

Q: Problem 0.6 Determine whether the following series converges. (3) o(-1)" cos(+1)

A: The given series .The aim is to check the convergence of the series.

Q: Problem 0.1 determine whether the following sequences converge as n → ∞o: (1) an (2) an = (3) an =…

A:

Q: find the orthogonal complement W' of W  and give a basis for W' of the following:  W = {[x y z]:…

A:

Q: Solve the following quadratic equations (hint use the quadratic formula) 6x² + x = 12 Find the…

A: The first part of the question asks to solve the quadratic equation 6x² + x - 12 = 0. The quadratic…

Q: 7. Evaluate the upper and lower sums for f(x) = 2 + sin x. 0<x<T, with n = 2, 4, and 8. Illustrate…

A:

Q: Let A and B be finite sets such that number of elements in A is 20,B is28 n(AuB)' is 36, find the…

A:

Q: 4. Find the volume of the solid with its base equal to the region bounded by the z-axis, the y-axis,…

A:

Q: Let f [0, 1] → R be defined by if x ≤ 1/2 if x > 1/1. Let € > 0. Prove that there exists a…

A: The given function  is defined as follows.We know that if  is a partition of  and the function  is…

Q: (17) The graph of p(x) is shown below. What is the remainder when p(x) is divided by x+4? A) x-4

A:

Q: mistake

A:

Q: (a) Show that a matrix with two rows and two columns that is in reduced row-echelon form must have…

A: A matrix is in reduced row-echelon form (RREF) if it satisfies the following conditions:Each leading…

Q: Determine if the given binomials are factors of the function. f(x) = 4x 5 - - 9x 4 3 + 39x + 24x 2 +…

A:

Q: D. Find (with proof) the infimums of the sets S = {1/n: n = N+) and T = {(-1)" /n:n € N†}. Is either…

A: and To find: Infimum of the given sets.

Q: Determine a lower bound for the radius of convergence of series solutions about the given xo for the…

A:

Q: The transformation x=u² + v- 1 takes the rectangle 0 ≤ u≤ 2 and 0 ≤ v ≤ 1 in the uv-plane to the…

A: Given: The transformation  and  takes the rectangle  and  in the uv-plane to the stranglely shaped…

Q: Problem 0.6 (1) ΣΑ (2) (3) n sin(n) 1+n³ Determine whether the following series converges. o(-1)"…

A: Note that : Since you have posted multiple questions, we will provide the solution only to the first…

Q: Learning Target C2 Core: I can compute combinations and permutations and apply these to formulate…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: A and C only

A:

Q: Find the volume using a triple integral in spherical coordinates. 21. f(x, y, z)=√x² + y² + z² H x²…

A: Here we have to find the triple integral using spherical coordinates.

Q: Consider the basic feasible solution of a transportation problem given below: 14 12 10 13 11 U1 15…

A:

Q: 14. Find the general formula for the following sequence 4, 12,36... 15. You take a loan on a $12000…

A: We have to solve the question 14 and 15 The solution of both the questions is given below

Q: 9. Laplace Transforms (a) Use the integral definition to find L{cosh(t). e}. Use the nspire to…

A: a) Here we find the laplace using definition. b) Here we have to use shortcut formula to find the…

Q: Consider the given function. f (x) = e² +8 Evaluate the Riemann sum for 0 ≤ x ≤ 2, with n = 4,…

A: The given function .The aim is to find the Midpoint Riemann sum of  in the interval  with…

Q: Calculate two iterations of Newton's Method to approximate a zero of the function using the given…

A:

Q: Let P(Z)=0.51​, P(Y)=0.32​, and P(Z∪Y)=0.67. Find each probability.   ​(a) P(Z′ ∩ Y′)= ​(b) P(Z′ ∪…

A: Let P(Z)=0.51, P(Y)=0.32, and P(Z∪Y)=0.67.Find each probability.(a) P(Z′ ∩ Y′)=(b) P(Z′ ∪ Y′)=(c)…

Q: 6² F. dr using the Fundamental Theorem of Line Integrals. Use a computer algebra system to verify…

A:

Q: s) Use your answer from 19.1 to evaluate the following definite integral: 3 * 42² 008 (1²) dz COS

A:

Q: Write a set of parametric equations for the surface of revolution obtained by revolving the graph of…

A: Parametric equation: Let f and g be continuous functions on an interval I. Then, and , where t is a…

Q: Use rectangles to estimate the area under the graph of ƒ(x) = 4 − x², above the x-axis and from x =…

A: