-Obtain the equation of the plane given three points 64 A = 3 B = 2 1 4 C= 2 -2 42 2

Q: Using c++

A: #include <iostream> float final_grade(float g1, float g2) { if (g1 < 0 || g1 >…

Q: An engineer in consulting company to do a 25 -years investment. The engineer planned to invest…

A: An engineer in consulting company to do a years investment.The engineer planned to invest  in the…

Q: A2 Find the Fourier series expansion for the function f(x) = X -2< x < 0 0 < x < 1 { 2-x 1 < x < 2…

A: The given problem is to find the Fourier series expansion of the given periodic function.Given…

Q: PLS HELP ASAP ON ALL GIVEN QUESTIONS PLS, PLS HELP ON ALL 5 PARTS

A: (a)C = 300 + 10n(b)R  = n(50-n)(c)n2−40n+300&lt;0(d)n should be from 11 to 29(e)n=20 (maximum profit…

Q: A directed graph G has 5 vertices, numbered 1 through 5. The 5 x 5 matrix A is the adjacency matrix…

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Q: Let F be a smooth 2-dimensional vector field defined on an open set U in the plane containing a…

A: To find the curl of the vector field at a point along the field line , it can use the following…

Q: Recently, a certain bank offered a 5-year CD that earns 2.3% compounded continuously. Use the given…

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Q: Question 1: (a) Consider the n-point Newton-Cotes quadrature rule n [^ f(x)dx ~ Σ wif(xi). i=1 (1)…

A: The solutions have been attached below.Explanation:Approach to solving the question: Detailed…

Q: A3 Find the half-range Fourier cosine series expansion for the function f(x) = x(Lx), for 0 < x < L.…

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Q: y3 dy = (y² + 1) sinx dx

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Q: The derivative of the [Select] of two functions is the first times the derivative of the second,…

A: Consider that have two functions f(x) and g(x). The product rule states…

Q: -Analyze if the planes are parallel πT1; 4x+4y-5x-1=0 TT2: 8x+8y+10z+3=0

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Q: Find f by solving the initial-value problem. f(x) = f'(x) = 9x² - 8x, f(3) = 54

A: We will find the f(x).

Q: Let T : P3 → R2×2 be defined by cx²)= T(a + bx + cx b 2a] = 2c b and let B be the basis for P3 and ◇…

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A: Question is solved below Explanation:Step 1:Step 2:

Q: 2. Consider the equation of simple harmonic motion considered in Example sheet 14: d²x + w²x = 0,…

A: Please refer below page.If you have any doubts please feel free to ask.Explanation:Step 1: Step 2:…

Q: The question involves finding the inverse Fourier Transform of the following functions:

A: see the attachment given below for details.Explanation:

Q: Draw the null-clines and determine equilibrium of d dx(t) = x(1−xy) d = y(t) = y = x². dt Use these…

A: Consider the given system of differential equation.We need to use the null-clines to sketch the…

Q: 3. Solve the following differential equation: +3 + 2x = t where x(0) = 1, (0) = 0. (For the…

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Q: answer this with pencil and paper. don't use AI. Let X = {1, 2, 3}, Y = {1, 2, 3, 4}, and Z = {1,…

A: Since every input from X maps to only one output from X hence the function k is one-to-one. Since…

Q: Let -6 -3 M = 3 -6 Find formulas for the entries of Mn, where n is a positive integer. (Your…

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Q: Solve for the variable P to two decimal places. 75,000-Pe 0.065(8) P= (Round to two decimal places…

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Q: What does it mean for a relation from A to B to be a function? Explain why g(x) = function from R to…

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Q: Is the following a basis for R3? Justify your answer. 0 3 2 1 -5 2 1 2 -3

A: Result:(i) If a subset S of  forms a basis of . Then S is linearly independent.(ii) If a subset S of…

Q: the brackets are [ ] these for the phrase [n(n+1)/2]^2

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Q: Let p x²-2x+1, p² = 3 +3x+1 and p³ = 5x + 10. Let q = x³-3x + 4. Is q' in the span of p1, p2 and p³?

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Q: ssume f: RR is strictly increasing. et g: R→ R be defined by g(x) = ff. Which, if any, of the…

A: Assume f:R⇒R is strictly increasing .Let  g:R⇒R be defined by g(x)=∫0xf.Lets check each options one…

Q: The equation e² = 10(x² - 1) has two positive roots and one negative root. (a) Find all three roots…

A: Attached solution Explanation:To find the roots of the equation  correct to two decimal places, we…

Q: Twelve people serve on a board and are considering three alternatives: A, B, and C. Here are the…

A: Twelve people serve on the board and considering three alternatives: A, B, and C.The table lists the…

Q: The figure below shows contours of f(x, y) = 140e - 40y². Find the values of f on the contours. They…

A: The function is :For the given figure of the contour of the function :The aim is to find :a) The…

Q: 6 10 2 1.0 A = 10-2 10 -2 10 20 -0.5 2 10 6 0.1

A: A number  is said to be an eigenvalue of the matrix A if we can write  for somenon-zero vector x and…

Q: The quadrature rule [“ f(x)dx = w₁ f(x1) + w2f(x2) + E (2) -h can be made exact for all cubic…

A: Given Information:The quadrature rule is given as .Objective:Write the four equations satisfied by…

Q: For the periodic signal shown below, determine whether the Fourier series contains: a) Sine and…

A: Solved below .Explanation:

Q: *16. Recall that N(s; e) = {x:|x − s| 0 there exists M€ N such that n≥M implies that s, € N(s; e).…

A: Question is solved below Explanation:

Q: Consider the following dataset:    27   29   57   75   75   78   85   87   90  Find the percentile…

A: The objective of this question is to find the percentile rank of the number '29' in the given…

Q: Find y as a function of a if y(0) = 5, y(0) = 17, y"(0) = 5, y"(0) = 8. y(x) = y(4) — 6y" + 9y" =…

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Q: (c) We want to find a three-point formula, [*^* ƒ (x)dx = w₁ f(x1) + w2f (x2) + wzf(xx) + E, -h…

A: Images attached. Explanation:

Q: A car dealership increased the price of a certain car by . The original price was . (a) Fill in the…

A: The objective of the question is to find the new price of the car after a 5% increase from the…

Q: 3) Find the laurent series expansion for : a) z² sin ½, 02 12-2711 >0 iii) 0< 12-1\<1 2+32 d) +24 ,…

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Q: Which of the following is a topology on X = {1,2,3,4} T= {4. {1}.{2}. {1,2},{3}} T = {4.X. {1}.{2}}…

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Q: A1 Let the inner product for polynomial functions on the interval 0 ≤ x ≤ 1 be given by 1 (§,9) = f…

A: A) For the part (A) we use  Gram Schmidt Method for the terms 1,x,x2

Q: E

A: Radius: Radius of a circle is the line segment joining centre to any point on the…

Q: Problem 3 Two consecutive frames describe the old and new T₂ positions and orientations of the end…

A: We have to find out the differential motion

Q: Answer and question in images

A: The elements which are included in set A but not in set B is {3,5,9,10}.Explanation:Steps and…

Q: Find the general solution of x' 1-5 = 2 3 ☑

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Q: Using the Method of Undetermined Coefficients, determine the form of a particular solution for the…

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Q: use the elimination methed to solve the system dx = y IF cy dt dy= -2x + 3y

A: We have to solve the system of equation.

Q: (a) Determine if the transformation defined by each of the following standard matrices is injective…

A: i- this Matrix is an injective , surjective and bijective ii- this Matrix is neither injective nor…

Q: Using c++

A: Here is the c++ code  #include &lt;iostream&gt; #include &lt;cmath&gt; // Include for fabs() and…

Q: A man with $30,000 to invest decides to diversify his investments by placing $15,000 in an account…

A: To solve this problem, we need to find the time it will take for the total investment in the two…