→ Points A, B and C have coordinates (2, 4,-9), (4,-1, 6) and (0,2,-6) respectively. Find the vector product AB x AC.

Q: Find the second-order Taylor formula for f(x, y) = (5x + 4y)² at xo = (0,0). Note that R₂ (0, h) = 0…

A:

Q: en the following system of equations in augmented matrix form, a [2 3 2 0 -1 1 141. L2 0 C |A| = 6 (…

A: As per our company guideline we are supposed to answer only first three qs, kindly post remaining qs…

Q: 2.Let a be a unit speed curve lying on a sphere center c and radius a > 0. Find the minimum value of…

A: Given That : Let α be the unit speed  curve lying on a sphere center c and radius a>0. To Find :…

Q: Use all four operations and at least one exponent to write an expression that has a value of 100

A:

Q: 10. Draw a graph with numbered and directed edges (and numbered nodes) whose inci- dence matrix is A…

A:

Q: y' (t) =

A: If the info values are equally spaced, the central difference is a median of the forward and…

Q: ) orthogonal to the vector y = (2)? You may want to go through the proof of When is the vector x =…

A:

Q: Which of the functions have 5 in their domain: f(x)=x²-3x

A: Given function is f(x) = x2 - 3x

Q: Given the following, -3 5 -B:) -0 -1 a22 3 X1 = 1 -3 0 a33 C. D. A = λ₁ = -2, 3 20, 2012:01: A. )…

A: Disclaimer: Since you have asked multiple question, we will solve the first two question for you. If…

Q: Explain: why it is show steps, please explain each part( no table) (~P VQ) ^ (~PVR) =~PV QAR

A:

Q: this answer is incorrect

A:

Q: The function f(x) is shown in the graph and the function g(x) is defined as g(x) = −4x² – 16x. -7 -6…

A: The function f(x) is shown in the graph and gx=-4x2-16x.   To Choose: The correct option.

Q: Consider the problem: Min 10+ x² + y² subject to 2x² + y² ≥ 2, x ≥ 0 and y ≥ 0. x,y 1. Suppose that…

A: Introduction: When a multi-variable function is to be extremize, Lagrange's multiplier method is…

Q: 1. Let X be a set and f: X X be a function. Suppose that fofof is an injection. Prove that f must be…

A:

Q: au Calculate the partial derivatives and using implicit differentiation of (TU-V)² In (W – UV) = ln…

A:

Q: Write the Maclaurin series for f(x) = 3x²e-5x as Find the first six coefficients. Co= 0 C₁= 3 C₂ =…

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

Q: a) Integrate g(x,y,z) = Inx²+y over the surface of the region cut from the plane 4x+3y+2z=1 by the…

A:

Q: The rules of mathematical logic specify methods of reasoning mathematical statements. These rules…

A: # As per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: Determine and sketch the equations in the w-plane into which the equations [z] = 1 and |z-] = 3 are…

A: The equations: z=1, z-25=25 are mapped under the transformation: w=z-22z-1 into the w-plane. We need…

Q: (b) Let A = (x ER 0<x< 1) and B=(x ER | 0<x<2). Determine whether A and B have the same cardinality.

A: Please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: Find the general solution of the equation: y' -2y = 2 sin(3t).

A:

Q: 9. After looking at this list, you are concerned that you may not be able to afford the food that…

A: The formula to calculate Price per Protein (g) is given as: Price per Protein (g)=[Servings per…

Q: Perform two steps of the Conjugate Gradient method for finding an approximate solution to the system…

A:

Q: 50. (Recommended) Suppose all vectors x in the unit square 0 ≤ x₁ ≤ 1,0 ≤ x₂ ≤ 1 are transformed to…

A:

Q: please help with Question 2

A:

Q: 2) Let Z229 be a finite field (Note that p = 229 is a prime) and Z229 = i.e. 6 is the generator for…

A: In this question, the concept of modular arithmetic is applied. Modular Arithmetic Modular…

Q: Question 3 Draw a diagram representing the graph with the following vertices and edges V = {A, B, C,…

A: A graph is defined as a mathematical figure of a network and it shows the relationship between lines…

Q: Consider the two functions given below: Function 1: f(x) = -9x² +31x +42 Function II: -50 -40 -30…

A:

Q: The following data were obtained for a sample of 10 men from a height and Σ (x₁ - x)² = 120, Ey? =…

A:

Q: Let f: X→ Y and g: Y→ V be functions. Show the following: (a) fis injective 3h: Y→ X such that ho f…

A:

Q: Q : IF (x₁y, z) = x²; + y²j Divergence theorem to Calculate the integral the closed Surface shown in…

A:

Q: Please teach how to solve not just solve -0... What is i'x? NX1 What is MºMº? What is x'Mº' Mºx ? X…

A:

Q: b

A: Please find the answers in next step

Q: Consider the set S given by S = {(x, y, z) ER³ : 2 = 2x² - y²}, where A E R\{0} is constant.…

A: As per the question we are given a quadratic surface as : S = {(x,y,z) ∈ R3 | z =2x2 - λy2} And we…

Q: Given the graph A 07 05 05 B 4 2 3 F 2 5 E How many cycles of length 3 can be found from the given…

A: In the given graph, we need to calculate the number of cycle of length 3.

Q: Ramzay Kitchen ordered kitchen flatware, dinnerware and cutlery having a total list price of RM…

A: First we calculate the trade discounts to find the invoice of the items.  Then use the term of 3/15…

Q: Let f (u, v) = (tan(u - 1) - eº, 5u² - 4v²) and g(x, y) = (e6(x-y), 6 (x - y)). Calculate f . g.…

A: It is provided that f(u,v)=tanu-1-ev, 5u2-4v2 and gx, y=e6x-y, 6x-y. We need to calculate f∘g and…

Q: The expression A=[(0)1³ de describes the area in polar coordinates bounded by the curve r=f(0) and…

A: Green's Theorem:  ∮C(Ldx+Mdy)=∬D∂M∂x-∂L∂ydxdy Let ∂M∂x-∂L∂y=1, then ∮C(Ldx+Mdy)=∬Ddxdy. We can find…

Q: 1. √(√t - √√² + ³√7³) dt

A: Given integral is ∫t - t23 + t35dt

Q: Consider the following functions. (a) f: RX → GL₂ (R), f(a): = (b) f: RX → GL₂(R), f(a) = 0 1 10 (i)…

A:

Q: 8. E= {{1}, {1,2), (1,3), (1,4), (2,3,4}}

A: This is a question from the Set Theory. It asks to find the power set. And the power set will…

Q: Find a vector v that is perpendicular to the plane containing 3 -() 6 and 0 2

A:

Q: 10. The point (-23, 13) is on the transformed function: y = 2log₁0[- 5(x + 3)]-9. Find the original…

A: For any queries please let me know through comments. I will try to reply ASAP! Please like if…

Q: Gaussian quadrature: Find the first three monic polynomials (i.e., till quadratic) on [0, 1]…

A: Given That : f,g=∫01x1-x2f(x)g(x)dx To Find : ∫01x1-x2f(x)g(x)dx=∑i=0naif(xi)

Q: Determine the Fourier series expansion for f(x): f(x) = x, XER, -T≤x≤T f(x) = f(x + 2π)

A: Sol:- Fourier series of function fx on interval -L≤ x≤ L is defined as:  fx=A0+∑n=1∞…

Q: Explain the basics: Explain the concepts as well Let f: RR be an increasing function. Suppose that…

A: Given Data: Let f:R→R be an increasing function.show that f has at least one fixed point.

Q: Write the Taylor series for f(x) = e* about x = 4 as • Σ cn (x − 4)". n=0 Find the first five…

A:

Q: find the complex Fourier expansion of the periodic function shown below - < x < ² COS X 1 = = -√²/₁…

A:

Q: → (a) Write down the vector AB joining the points A and B and with coordinates (1,3,-6) and (-9,…

A:

Q: Minimize the function f(x, y) = x2 + y2 + xy + y, finding the optimal x and y and the value of the…

A: