Explain the Matrices of the derivative of a scalar vector (tangent vector) ?

Q: Calculate the means, variances, and the standard deviations of the following distributions. (Round…

A: Distribution a: Mean = E(X)       = Σx ∈ {1, 2, 3, 4, 5} xP(X = x)       = 1×0.15 + 2×0.18 + 3×0.33…

Q: Delta function in r Delta function in k 1 Exponential in 8(2) 1 2πδ(k) 2a a²+k² (a>0)

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

Q: Determine a function of two variables  f(x,t) = a + bx + ct, from the table below that best fits the…

A: As per the question we are given a data table about inputs x, t and output y. And using that we have…

Q: 9. Solve the following inequalities. Then use technology to graph the situation so that you can…

A: Given inequalities  32x<9x+3 83x+5≤32x+7

Q: One bank advertises a nominal rate of 5.62% compounded quarterly. A second bank advertises a nominal…

A:

Q: Find the open intervals where the function graphed below is a) increasing, or b) decreasing. to 10…

A: Increasing and decreasing function

Q: 2 show that sinz-- i\n(izz√1-2²)

A:

Q: Let Matrix A = [[2, 3], [-1, 4], [-2, 5]] a) Find the singular value from the matrix b) Determine…

A: Solution is given below:

Q: Find the total number of compounding periods and the interest rate per period for the investment.…

A:

Q: 1. Show that the graph of T is closed.

A: As per the question we have to solve the part 1 of the question which says to prove that the graph T…

Q: 3. If a group G has finitely many subgroups, does this mean that G is finite group? Justify your…

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

Q: Determine how much is in the account on the basis of the indicated compounding after the specified…

A: Given,            P=$5400, r=4%, compounded annually for 1 year.

Q: Problem 3. Let X and Y be two Banach spaces and T: X → Y be a linear continuous application. Recall…

A: Given Data: Let us consider the given two Banach spaces X, Y and a mapping T : X → Y we have to…

Q: max 3x1 + 2x2 + 3x3 s.t. x₁ + x2 + 2x3 3x1 + x₂ + x3 = 6 x₁ + 2x₂ + 4x3 x1, x2, x3 ≥ 0 = 2 = 8

A:

Q: _Q6) Suppose that a differentiable function y satisfies y(0) = 6 and y'(0) = -1. Furthermore, if…

A: We will use Laplace transformation table to find  required value of Ly''3 Note : As only one…

Q: Prove that the sequence of functions (fn)1 converges uniformly on XCR if and only if the series of…

A:

Q: = {₁ b) B= 1 2n +1 : nez}.

A:

Q: Consider the following from-to-chart A B C D A 25 B 10 C 25 18 4 The unit cost per distance moved is…

A: There are two methods that can be used to develop an optimal layout for a set of departments: the…

Q: Analyze and sketch a graph of the function. Label any intercepts, relative extrema, points of…

A: Given:The function fx=5-3xx-2. To Find: Analyze and sketch the graph of the function.

Q: Let x, y, z be (non-zero) vectors and suppose that z = -2x + 4y and w = 6x - 12y + 1z. Are the…

A:

Q: m 7. Are the following statements true or false? V For a square matrix A, vectors in the column…

A: I will solve all these questions one by one , then decide whether the statement true or false .

Q: Prove that f(x) = x ⋅ |x| is continuous at all points c in ℝ.

A: We have to prove that fx=xx is continuous at all points c in ℝ.

Q: Find the general solution to the non-homogeneous second order ODE. y" - 3y + 2y = 23x² O a. Aex +…

A:

Q: he question is: I have to write the letters N, S, A, H, W using bubble letters on a graph.…

A: To sketch : Graphs of shapes as the letters N , S , A , H , W .

Q: Which of the following families of real functions are algebras of functions? (For each, either show…

A:

Q: max 3x1 + 2x2 + 3x3 s.t. x1 + x2 + 2x3 = 2 3x1 + x2 + x3 = 6 x1 + 2x2 + 4x3 = 8 x1, x2, x30

A: To solve : The following LPs using the simplex method : max 3x1 + 2x2 + 3x3   s.t. x1 + x2 + 2x3 = 2…

Q: List down the elements of the following subgroups of Zp²q² = = = = = = = = =

A: List down the elements of the following subgroups of ℤp2q2 . And draw it's lattice diagram.

Q: Are the following statements true or false? The space Pn of polynomials of degree up to n has a…

A:

Q: The equation y = 3x^2 - 6x + 2 stated in vertex form is

A: To Find: The vertex form of the equation y=3x2-6x+2.

Q: The equation of the axis of symmetry of y = 3 (x+2)^2 -5 is

A: Solution :-

Q: Determine the solution of the double inequality 28 ≤2(4x + 9) - 5(x+7) ≤ 64

A:

Q: Solve cos(4x) + cos(2x) = 0 in the interval x ∈ [0, 90◦ ) and enter your solution as an exact number…

A:

Q: Determine when the function f(x) = 3x³+4x² - 59x13 is less than 7.

A: The answer provided below has been developed in a clear step by step manner.

Q: Question. 5 Define Runga-Kutta Methods? Draw the predicated and true value and also define the…

A: The Runge-Kutta methods are a family of iterative methods for approximating the solution to a…

Q: Let p 5 be an odd prime. Derive a formula for the Legendre symbol 121 B

A: Given: It is given that p≠5 is an odd prime. To find: We have to derive a formula for the Legendre…

Q: The terminal arm of angle 0 in standard position passes through the point (-2,6) the value of sin 0…

A: We have given, Point (-2, 6) Let, side BC = -2 side AB = 6 Now, we will find hypotenuse by using…

Q: m* (A) = m (E). For any set A there exists a measurable set E containing A such that

A: As per the question we have to prove that for any set A there exists a measurable set E containing A…

Q: Let Let L: R³ R³ be the linear transformation defined by be two different bases for R³. Find the…

A:

Q: A principal of $6000 earns 2% per year simple interest. How long will it take for the future value…

A: Given : A principal of $6000 earns 2% per year simple interest.   To find : Time in years it will…

Q: An article in Obesity Research "Impaired pressure natriuresis in obese youths," (2003, Vol. 11, pp.…

A: The desicred confience interval is =90% the corresponding Z-score is: Z=1.645 Now, given that…

Q: r20 x < 0. f(x) = { 0 1 g(r) be the characteristic function of [0, 1]. Find the convolution g and…

A: Answer given below.

Q: Four measurements of an electrical system were taken. At time 0 s the output is 1V, at time 1s it is…

A:

Q: Evaluate the given Legendre symbols using all applicable properties of the Le- gendre symbol and the…

A:

Q: Let f: A→ X be a function such that A CX. Show that if A is compact, then the range of f defined by…

A: We need to prove that if a function is defined on a compact domain then it's range is bounded see…

Q: Match the name of the logical argument, with its sequence of steps: Drag and drop options on the…

A:

Q: 10. Sandra is going to help her dad replace the wood trim in their living room. They're going to…

A: Given Data: Let us consider the given data, Wood trim required =75m Finishing nail =1 box  Cost of…

Q: 2. Use Cauchy's Integral formula, Evaluate the following: sin4Z = I= & Sinaz Jc (Z-4)³ • I- • 1 = $…

A: See below for the complete solution -:

Q: Suppose a person's utility function for items x and y is u = ln(x) + ln(y), and he currently has…

A:

Q: (4-√√5)(4+√√5) 2√11 where a and b are integers. Write in the form Find the values of a and b. Lole

A: Given expression is 4-54+5211 The expression is simplified to the form ab as shown below.

Q: Q5) Solve (y")3 = y(1 + (y)²).

A: To solve the given differential equation : (y'')3=y(1+(y')2)

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: