Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS. P(-2, 1, 0), Q(5, 4, 5), R(1, 4, -1), S(3, 6, 3)

Q: . Solve the following equation by Finite Differences Method, choose h = 0.25 -y=x+y . y(0) = 0 &…

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Q: One article shows a relationship between per capita health care spending h, in thousands of U.S.…

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Q: An object of mass 5 kg is released from rest 4000 m above the ground and allowed to fall under the…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: y' = sin (x + y)

A: Solution :  Given differential equation  y'=sinx+y

Q: y' = sin (x + y)

A: We have to solve the given problem.

Q: The temperature C of a fresh cup of coffee t minutes after it is poured is given by C = 125e-0.03…

A: Given that The temperature C of a fresh cup of coffee 't' minutes after it is poured is…

Q: y'-2y = y²; y = 3 when x = 0

A: A differential equation can be solved using the variable separation method. In this method, the…

Q: Q1. Find the general solution for the following differential equation: -y² (x²ex² - y²)dx + xydy=0

A: Solution :  Given differential equation  x2 e-y2x2-y2dx+xy dy=0

Q: 8 65-4 5²-45+16 2-4-¹ 25-8 [ inverse Laplace 1- L-1, 3-2S 8+65 952-16 452+9

A: As Per Bartleby Answering Guidelines We Solve Only First Problem Given that L-16s-4s2-4s+16

Q: Q4. B. Find the tangential vector (T), normal vector (N) and binomial vector (B) for the position…

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Q: 3. The blocks shown below slide together down the incline at the same acceleration. The coefficient…

A: Given:   The coefficient of friction, μ, between the block D and the incline surface is 0.5 The…

Q: Write ALWAYS if the statement is always true, SOMETIMES if it is sometimes true, sometimes false,…

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Q: (ii) 2, is a field. (iii) pZ is a prime ideal. (12) Given the set of 2 x 2 matrices with integer…

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Q: 1) An= (₁ +4: give the first & terms. ²70 2

A: Since you have posted a multiple question according to guildlines I will solve first(Q1)   question…

Q: B: Solve the equation f(x) = e¯* + sin™x use Newton Raphson Method, Xo= 0.

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Q: Let X be an inner product space with the inner product given by . For x = X, define the function ||·…

A: Given : x=x , x12 To Prove : (a) ·:X→K is Norm                : (b) x+y2+x-y2=2 x2+y2

Q: Q17D. Define the sets A, B, C, and D as shown. Find (A ∩ C) ∪ (B ∩ D).

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Q: Solve (d) · 1 +2y cote = escr. (c) 분 8(y + 2z) + 1; y(0) = 0,

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Q: hree machines turn out all the products in a factory, with the first machine producing 35% of the…

A: Introduction: The Bayes theorem, which bears the name of the Reverend Thomas Bayes, is a statistical…

Q: Make a table of values for f(x)=x²- 4 showing function values for x = 4, 6, 8,....

A: It is given that the function is fx=x2-4. We have to find the value of this function at different…

Q: Complete the table X (Millions)        P(x) Millions $-73 1 4 8 12 16 20

A: We have to complete the given table. Given that at x=1 Millions, Px=Millions $−73. At x=4 Millions,…

Q: The representation of an even integer is 2k; and that for odd is 2k+1 or 2k-1 for some integer k.

A: Take 3 even numbers, 2,8,36. Now 2=2k for k=1 8=2k for k=4 36=2k for k=18 So the even numbers are of…

Q: "36. Prove that a square matrix A is invertible if and only if A^TA is invertible

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Q: Part I: Directions: Complete the table below. EQUATION CENTER 1. C(0,0) 6. 4. x² + y² = 64 x² + y² -…

A: To complete the given table  for the given conditions :-

Q: An investment grows according to the formula B = 8000 x 1.0085¹ dollars, where it is time, measured…

A: We have to solve given Questions.

Q: Approximate bsinh ax") do dx C√ x 0 using the first four terms of the series if a = 5, b = 28, c =…

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Q: . Solve the following equation by Finite Differences Method, choose h = 0.25 , y(0) = 0 & y(1) = 5…

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Q: dy dt 3 + ty = 1+t, y(2₂) = 0 Solve this ordinary Differential Equation please

A: Sol:- dydt+ty=1+tA first order linear ODE has the form of y'x+pxy=qxSubstitute dydt with y' y'…

Q: 1. Write x(t) in terms of the Heaviside function shown in Figure A x(1) -2 0 1 2

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If y=f(x),…

Q: The table shown to the right gives the national average pupil-teacher ratio in public schools over…

A: (a) The table for linear square fit is given below in step 2.

Q: a) y2 + (y-1)y' - y = 0,

A: According to guidelines we solve only one question. Thanku

Q: Solve the following - 4y = 16 t dx² differential equation by Laplace : = -6, y(0) = 3 . dy dx

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Q: (a) Write the Cayley table for the group U(15). (b) Give an example of an infinite group and…

A: In first part we find cayley table with the help of addition modulo in 2nd part we take example in S…

Q: Show that if ac | bc, then a | b. (Assume that c is not zero.)

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Q: Construct the truth table for (p→→q) → [(pv-q) → (pv q)].

A: We have to construct the truth table.

Q: SS, [(2x - z)dydz + x²dzdx -xz²dxdy],

A: We use divergent theorem. This theorem change surface integral to volume integral.

Q: 5) x2. dx = x² + 3xy + y², (c) dr = 2 = 3v, + 3x' (d) (1 - y)' + By - 5x = 0.

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Q: Solve the ordinary differential equation 4x2y" + 4x2y = 100y - 4xy'. Then evaluate the first four…

A: Given: The given ordinary differential equation, 4x2y''+4x2y=100y-4xy' To evaluate the first four…

Q: Find the Fourier Series of the function: f(x)=X+n if - < X < n and f(x+2) = f(x)

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

Q: Compute oo (1000), o (750), and go(1024).

A: Introduction: Real and Complex α and any integer n ≥ 1,                        σα (n) = ∑d | ndα the…

Q: Solve the following problems following Polya’s Four Step Method and employing the different…

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

Q: Do you realize how crucial Ada Lovelace was to mathematics?

A: Ada Lovelace (1815–1852) was certainly one of the most significant women in the history of science,…

Q: Consider the following binary operation (denoted *) defined on R. Determine whether or not the…

A: Solution

Q: Write X- [615] 6 18 as a product X = E₁E₂E3 of elementary matrices.

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Q: The representation of an even integer is 2k; and that for odd is 2k+1 or 2k-1 for some integer k.…

A: To show the representation of an even integers is 2k and that for odd integer is 2k+1 or 2k-1 by…

Q: What is D\E? U=R A = {a E Na is a multiple of 3 less than 15} B={beZ-15 4} D={d E = {e

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Q: Eliminate A and B from the relation y = Ae²x + Bxe²x 2x

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Q: Find the first two derivatives: Leje d. k dejé c. beje d. Leve Assume 0, b, and d are functions of…

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Q: Use the Fermat's method to express each number in canonical prime factorization. 1. 229 2. 383 3.…

A: note : As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly…

Q: 1956, M. King Hubbert proposed a model to analyze crude oil production. His model, with Updated…

A: For a function of the form: y=f(x), any point on the coordinate system is represented using the…