Prove that there are 2 different triangles with Angle A = 30 degrees , side a = 3cm and side b = 4cm Use the sin or cosine rule

Q: 3- Suppose u, v EV and||u|| = ||v|| = 1 and = 1. Prove that u = v

A: Given: Vectors  such that ,  and .To prove that .Concepts used:Properties of Inner Product Spaces:…

Q: c. B: = [3 5] 8 [4 5] {[][114])} 2 3 X

A:

Q: Use Newton's method to estimate the one real solution of x³ + 5x -4 = 0. Start with x = 0 and then…

A:

Q: Assume that f is continuous everywhere. Show that for any non-empty subset UCR, if U is ajar, then…

A:

Q: Definition 1 (Inner Product Space). Let V be a vector space over a subfield F of C. An inner product…

A:

Q: Solve x₁ = x₂, x₂ = -x₁ using the eigenvalue method.

A:

Q: 10_M6A1. Show your steps and process for computational questions. For proofs, be sure to write in…

A: The objective of this question is to prove that the function q is a homomorphism, find the kernel of…

Q: Use upper and lower sums to approximate the area of the region using the given number of subinterval…

A:

Q: The left Riemann sum is supposed to be 275.02041 but I don't know why? I also got 280.16326.

A: Given:The left Riemann sum is supposed to be 275.02041 but I don't know why? I also got…

Q: HD XIXTONY Consider the following matrix and answer the following questions: A = IND any…

A:

Q: For matrices in M,, (K) for a field K, which of the following is true (a) the product of two such…

A:

Q: f the eighenvalues are -1, -1 and 2 , obtained from (2-λ )(λ +1)^2=0 , then what are the…

A:

Q: For this problem, let f: RR be a function. We say that a non-empty set UCR is ajar if Vu €U, 3r >0…

A: A non empty set U subset of R is called ajar if for all u belongs to U there exists a r>0 such…

Q: In Problem 27 to 30, determine whether each statement is true or false. 27. 28. 29. 30. 7 1. 3 ≤9. 7…

A:

Q: Find the change of basis matrix [B]. {0}{000) C = B = -2 -3 2 -2 -31 2 4 5 -3

A:

Q: X 1+x² List the elements of the requested image or preimage. No set notation needed. Let q be the…

A:

Q: 2. Determine the Laplace transform of the given function. a) f(t) = e³¹ +4 c) f(t) = est sin(3t) e)…

A: Let Then Result:

Q: Mark Jakob lives in Tulsa, Oklahoma and plans to attend graduate school to earn his Ph.D. in…

A: The objective of this question is to find the minimum cost for Mark to visit all the schools and…

Q: Compute u • u, vou, and u u using the vectors u = 3 and v= 7

A:

Q: Let A= A) This matrix has a repeated eigenvalue. Find it, the cor- responding eigenvector, and the…

A:

Q: A given scenario of a person falling into a pit attached to a rope can be modeled by the…

A: The objective of the question is to find out if the system of first-order differential equations…

Q: Wouldn't the values of r be something else for the integral? The shaded region starts at the circle…

A: The region shown in the figure.

Q: bits are needed.

A:

Q: Given ƒ"(x) = 7x +5 and ƒ'(0) = −2 and ƒ(0) = 1. Find f'(x) and find ƒ(4) =

A: Given,this is the required answer of the given question

Q: Problem 2(*). Find [1 1 1 2 1 1 1 3 4 5 det 1 4 9 16 25 1 8 27 64 125 1 16 81 256 625 using…

A:

Q: Consider [0, 1] × [0, 1] with dictionary ordering. Find A, when A = {(x, y) : 0 < x < 1 and x + y =…

A: Given set            A = { (x, y) : 0&lt;x&lt;1  and  x+y=1 }We know that    where A'  is the…

Q: Find the change of basis matrix [B]&• 2 B = { []}]} <= { [4] []} C 7 8 23 10 71 40 4 10 8 40

A:

Q: A linear second-order non-homogeneous equation models this scenario: People falling at a height of…

A: The objective of the question is to determine the initial conditions of the height y(t) of the…

Q: Is v= No Yes - 6 √251 9 251 7 /251 9 251 a unit vector? If not, normalize it:

A:

Q: 1-Find the cosine of the angle between A and B with respect to the standard inner product on M22 2…

A:

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: 1. Star Wars: The Force Awaken is the greatest movie of all time. 2. Harvey Mudd college is in…

A: Given Information:There are 10 sentences provided.To classify:They are logically statements or…

Q: 24.1. For each of the following relations, answer the following: Is it a function, and if so, what…

A:

Q: Solve the given initial value problem. [1] 2 x' (t) = x(t) = 9 -2 1 6 x(t), x(0)=

A:

Q: How many people are needed to guarantee that at least 4 people have a birthday in the same month?

A: This is an application of pigeon hole principle. According to pigeon hole principle, if there are n…

Q: Consider the function whose graph is the surface shown at the right. Which traces go with which…

A: To extract more information out of the graph we will try to match the traces in the following order…

Q: File Preview Assuming (AB)t = B¹A¹, det(AB) = det(A) det(B), and det (A¹) = det(A) complete any two…

A:

Q: Suppose that G = (V, E) is a directed graph. A vertex w E V is called reachable from a vertex v € V…

A:

Q: Calculate Sc√√1+4x² y+x² 2 < x < 5. ds where C is the arc of the curve e y = 2 - x² from

A:

Q: Verify that each basis vector of Null(A) is orthogonal to every basis vector for row (A) Find a…

A: Given the matrix ,where B=rref(A).We already have seen that the basis for nullspace of A is And, the…

Q: 1. Prove by mathematical induction that n(n+1) (a) 1+ 2+ + 12 = 2 (b) 1+3+5++ (2n-1) = n²…

A:

Q: Sliding movement with a motor. A heavy block of mass 1 kg is placed on a flat surface and attached…

A: (a)Given that at t=1 seconds a motor exerts a force of t−1 N on the block. At t=4 seconds the motors…

Q: Diagonalize the matrix A, if possible. That is, find an invertible matrix P and a diagonal matrix D…

A:

Q: why can we define P(x)= (2pi) / |f'(x)|? What steps?

A: The expression  is related to the period of a periodic function, such as g(x)=sin(f(x)) or…

Q: Particular values for the function f(x) are given in the table below. X f(x) 9 18 Use the table to…

A: 918273645-9-15-20-19-6We hae to find:(a) a right-hand Riemann sum(b) a lift-hand Riemann sum

Q: [154] 10 (a) What is the largest eigenvalue, λ₁ of A? File Preview Let A = (b) Find a unit…

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

Q: A given scenario of a person falling into a pit attached to a rope can be modeled by the…

A: The objective of the question is to understand how the solution of a system of first-order…

Q: 1. Express the given function in terms of unit step function(s). Sketch the graph. a) f(t) = (2,…

A: (.). Given,           (.) Unit step function: The unit step function  is defined as follows,…

Q: Determine whether or not F is a conservative vector field. If it is, find a function f such that F =…

A: A vector is said to be conservative if the curl the given vector results in zero.i.e. Here we…

Q: Given the N-length sequence x[n]: 10 8 7 6 5 3 2 G find the following values of x[n]: a. [8] =…

A: