In R3, derive the equation of a line in vectorial, parametric and canonical form.

Q: Solve by the method of: Solution of ODE by laplace transform y" - y' + 2 y = 4t-6 y(0) = 1, y'(0) =…

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Q: Consider function g(x) = 4 - x2 on interval [0; 2]. Compute approximations to area under curve,…

A: Given function is  on interval .Also given partition is  .Using Upper sum formula :

Q: 3sin x−8sin x−3=0,0sxs2r

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Q: Consider the linear program below and answer the following. Min s.t. Min s.t. 11A + 7B Α, Β Σ Ο (a)…

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Q: Solve. √y-3+√√y=3 The solution(s) are y = (Use a comma to separate answers as needed.)

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Q: In this problem, we consider the diagonalization of a symmetric matrix. a. Prove that if A is a…

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Q: Give only typing answer with explanation and conclusion Answer the following questions. (a) 88.83 is…

A: Given a question: 88.83 is what percent of 21 ?

Q: i have only asked that specific question, you need to solve the points of infelction over its…

A: As per the question we are given a function f(x) and we have to find :It's inflection…

Q: A. Let V = L(R², R³). Let U = {T € V : T(x, y) = (ax, by, 0) for some a, b ≤ R}. a) Prove that U is…

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Q: 1) Calculate the surface area of the part of cylinder 2 inside cylinder x² + y² = 2² 22 y +z = a 2

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Q: Use the given information to sketch the graph of t Domain All real x Im 1x)=3 1-10 x-8-40 48 (x)…

A: The function  has the following properties,Domain: All real  and .x-8-4048f(x)0-30-30 in the…

Q: 2.1 Distinguish between special orthogonal group SO(2) and special orthogonal group SO(3) by making…

A: As per the question, we will distinguish between two important mathematical concepts: the special…

Q: The following differential equation is separable as it is of the form dp dt dP dt Find the following…

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Q: Show that if ƒ has an essential singularity at zo, then either has an essential singularity at zo or…

A: The statement we're asking to prove is a well-known result in complex analysis, often referred to as…

Q: PODASIP the following statements about products and inverses of triangular and unit triangular…

A: A triangular matrix is a special kind of square matrix. A square matrix is called lower triangular…

Q: Solve by the method of: Exact differential equations and integrating factor xy + y² dx + x² + 3xy dy…

A: To solve given differential equations, let us first find the integrating factor which will make it…

Q: Given the function (a) Determine ƒ₂ (b) Determine ƒ y (c) Determine f yyz f(x, y, z) = (sin…

A: Let,

Q: K|4 K SS S 0 0 2 seco p² sin dp do de o

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Q: Review the following line graph. 0.90 0.80 0.70 0.60 0.50 0.40 0.30 0.20 0.10 0.00 292 9/94 0.61 34%…

A: The broken scale is not properly shown on x-axis is right as clearly seen by graph the intersecting…

Q: TT/2 (8+4sinx)ax solve Analytically ←solve using Trapezoidal Rule

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Q: For the given function f(x), the point c, and a positive number e, find L = lim f(x). Then find a…

A: If then we can write .Also, we can write If  we can similarly write If  then

Q: Graph the rational function. 5x+15 x+2x-15 f(x)=- 2 Start by drawing the vertical and horizontal…

A: Vertical Asymptotes:Vertical asymptotes occur at the values of    that make the denominator of the…

Q: 3x³ +15x²-42x>0

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Q: Consider the density curve plotted below: PDF(X) 20 16 12 co 8 + 0.02 Find P(X<0.08): 0.64 Density…

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Q: The volume of the solid obtained by rotating the region enclosed by x = 8y, y³ = x (with y ≥ 0)…

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Q: The table gives the coal consumption of a country for selected years. Use the table to answer parts…

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Q: d²y Find dx² 5x+2y=9 sin (y)

A: Solution:Given: we have to find

Q: Let D be an integral domain with unity 1. Two non-zero   elements a,b∈D are associates if and only…

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Q: 8 1 x+2 2 x² +2 xp..

A: The formula of Midpoint Rectangles is  , where  and

Q: Let y = 3 -1 1 - 13 1 2 - 1 and v₂= 4 3 V₂, given that the closest point to y in W is y= Find the…

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Q: In exercises 1-10, verify that the given function is a solution of the corresponding integral or…

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Q: What is the relationship between the complex differentiability and the existence of the derivative…

A: Analyticity and differentiability are fundamental concepts in complex analysis, which is the study…

Q: 4. Consider the function f(x) = ee* on [-1,1]. a) Use Simpson's Rule with n = 6 to approximate ₁₁…

A: Solution

Q: Verify that 1 1 9 = 2x²y + ²xy₁ - y² + 2y²-2² y ₁ u(x, y) = x²y +4² +2y²-2y + x²-3x - 29

A: Given partial differential equation is                               We have to verify that the…

Q: Integrate by parts: S. t'e' dt, J sin z dz.

A: Given:The integrals are given by, i) ii) To Find:We have to evaluate the given integrals by the…

Q: The columns of Q were obtained by applying the Gram-Schmidt process to the columns of A. Find an…

A: We have two matrix A and Q such that the columns of Q were obtained by applying the Gram -Schmidt…

Q: A rumor started in a town with a population of 10000 people. The rumor spreads in proportion to the…

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Q: The path r(t) = (t)i + (+²+6) j describes motion on the parabola y=x² +6. Find the particle's…

A: The given position vector is .To Find: Velocity and acceleration vector at t=-3. To Select: Correct…

Q: 3. If a listing salesperson's commission is $2,610, and that amount represents 30% of the employing…

A: Assume the sale price of the property be $x

Q: a ball falls from the top of a tall building. it is pulled downward by gravity but the acceleration…

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Q: Use elementary row operations to transform the augmented coefficient matrix to echelon form. Then…

A: The system of equation:We have to solve the system by back substitution.

Q: Find the absolute minimum and absolute maximum of the function f(x,y)=xy−1y−1x+1 on the region on or…

A: The given function is , and Now, and Now,     and Thus, the critical point lies in the parabola…

Q: The following system of differential equations is given. I₁ = 41₁ + 2x₂ I'₁2 = 311 - 1₂ The…

A: We are given the system of differential equation.

Q: Question y A Physician Orders 0.75 oz of liquid antacid 4 times per day for a patient. How many…

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Q: log7(x+1)+ log7(x−5) = 1

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Q: Find the equation of the tangent line to the curve given by the equation y = x^3 + 2x^2 - 4x at the…

A: Solution:

Q: If 1 teaspoon is approximately 5 mL, and 3 teaspoons is approximately 1 Tablespoon, how many…

A: The unitary method, also known as the unitary analysis or the method of proportion, is a…

Q: Show that a group G of order pqr  for distinct primes, p,q and r, is  solvalbe.

A: |G| = pqr.   Without loss of generality, let p&lt;q&lt;r. We claim two things :  (i) There exists a…

Q: Find the general solution of the differential equation. y(4) - 30y (3)+225y'' = 0 y(x) =

A: Given the differential equation:  To find:The general solution   The given equation is a…

Q: (a) Use the Euclidean algorithm to compute ged(a, b) (b) Determine integers x and y for which ged(a,…

A: (a) To compute the greatest common divisor (gcd) of two numbers a and b using the Euclidean…