Find an equation of the plane passing through the given points. (1, −2, 19), (5, 0, 13), (4, −3, 17)

Q: If mPF 42° and mXW = 122°, find m/Q.

A: (a). Given,                    To find the value of

Q: 1 -3 0 Let v¹ 3 1 ,w= -5 and determine if w is in the subspace of R³ -2 2 generated by v¹ and v².…

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Q: Assume that for every positive integer i, A₁ = (-i, i), that is the set of real numbers x with -i <…

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Q: PLS HELP ASAP ON ALL GIVEN QUESTIONS PLS

A: Answer- I have given step by step hand written solution in the explanation box. Explanation:Step…

Q: Laplace equation Uxx + Uyy = 0 under the boundary conditions U(0,y) = U(x,0) = 0, Ux(1,y) = 0, and…

A: This represents a series of solutions corresponding to different values of n, and the coefficients…

Q: Consider the sequence shown. n 1 2 3 4 5 an 2 8 32 128 512 ... Which function represents this…

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Q: PLS HELP ASAP ON ALL GIVEN QUESTIONS PLS

A: final answer 5) C optionavg rate change is =2118)1.remainder not zero2. remainder =0 k = -13/2…

Q: sketch z2 = z1* on the axis given z 1 = -1.7+j1 complex number 21 shown below: 3 Imaginary -2 -1 0…

A: Given thatWe have to sketchWe know that

Q: Tonya's class planted sunflowers and the students are tracking the growth of their individual…

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Q: Use Table 12-2 to calculate the present value (in $) of the annuity due. (Round your answer to the…

A: present value of the annuity due is approximately $3369.45.Explanation:To calculate the present…

Q: 4. Calculate Res z2 2+1 +9' - Зі

A: Here's the solution of given question. We use residue formula at a given point of complex function.…

Q: Decide which of the two given functions is linear and find its equation. 110 9 X 0 3 f(x) 0 3 41…

A: X0361015f(x)03416799g(x)-1234779119

Q: 6xu² + 3yv4 = 9 2xy(u² - v²) = 0

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Q: Use the Egyptian method to multiply 35 by 21.

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Q: (h) After doing some tests, the patient's velocity constant of elimination is found to be 0.005…

A: The excess hormone concentration is given byWhere,, , and To find: for , , and

Q: Consider the transformation T : R4 → R3 defined by T(x1, x2, x3, x4)=(2x1 + x2 + x3 − 4x4, 6x1 − 9x3…

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Q: (2) Find the solution of the differential equation ' satisfying the initial condition (0) = (1, 1),…

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Q: C = {1,4,9}, D = {2,3,5,7}, E = {2, 4, 6, 8, 10}, F = {1, 2, 3, 4, 5}. List the elements of the…

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Q: Find a basis for col(A) and nul(A) and state the dimension of each. -3 9 -2-77 A = 2 -6 4 8 3 -9-2 2

A: Since, col(A) has basis of two vectors, its dimension is .

Q: Hint is given

A: The objective of the question is to find a non-constant function v(t) such that y2(t) = v(t)y₁(t) is…

Q: Find the smallest positive integer a that solves the congruence: 9x 6 (mod 58)

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Q: 1. y' = 2x x y. 4 x {y=4+ 6x3 C-X 3

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Q: Q1. (a) (i) (ii) Comment on the efficiency of the following root finding techniques. Newton's…

A: The objective of the question is to provide a comparative analysis of the efficiency of four root…

Q: Let [1 A = 3 1 2 0 1 2 2 10 13 Find all vectors in the null space of A.

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Q: In voting among three candidates, the outcomes are reported as: (ABC) (ACB) (BAC) (BCA) (CAB) (CBA)…

A: The outcomes of voting are :ChoicesABCACBBACBCACABCBANumber of votes752173The main aim is to…

Q: 4) Give an example, if possible, of power series with the following properties: a) centered at…

A: Refer to the below Explanation.Explanation:In the context of constructing power series with specific…

Q: --3 7 -7 -3 integer. (Your formulas should not cont

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Q: Please Solve this question using advance math and differential equation, pls solve manually, i need…

A: Q1-. 5 ROOTSQ2. 2+j30Q3.4Q4.some detail is missing may be initial condition.  However…

Q: Question 2: A function S is defined on the interval [(-1,3] by S₁(x), x[-1,0), S(x) = S2(x), x[0,…

A: S2​(x)=23​x3−29​x2+x+1Explanation:Step 1:The constraints to be satisfied are continuity and…

Q: Recall that I(n) = (1 - x²)"dr. == 2.1 Substitute x = sin(t) in I(n) and show that I(n) can be…

A: Recall that .2.1 Substitute  in  and show that  can be written as .2.2 Now that we have . What is ?…

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

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

Q: 4. (a) (b) y" (t) + 2025y' (t) + 2024y(t) Consider the following IVP with impulsive forcing: t- =…

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Q: The inductive step of an inductive proof shows that for k≥4, ifk! 22, then (k+1)! ≥ 2+1 However the…

A: We have to identify the step, which should be labeled with "Because ".

Q: (a) Find the inverse of the matrix. Show your work. 2 4 -4 A = 0 -1 2 -1 2 1 (b) Use the inverse…

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Q: A commercial sewing machine costs $18 000 when new. Its value depreciates by $200 for every 1000…

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Q: Problem 1. We are shipping boxes from central to local warehouses. Transportation costs per box are…

A: The objective of this question is to formulate a linear programming problem to minimize the total…

Q: 15. Prove the following. (a) lim√√n+1-√√)-0 (b) lim(√n²+1 − n) - (c) lim√√24 = 0 im (√n² + n − n ) =…

A: Answer- I have given hand written solution in the explanation box. Explanation:Step 1:Step 2: Step…

Q: practice problems. Need help with prep. For f(x,y,z) = x^2 + y^2 + 3z^2 - 6z,  find all points on…

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Q: A4 Find the half-range Fourier sine series expansion for the function f(x) = x(Lx), for 0 < x < L.…

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Q: 5  Scotiabank Arena hosts NBA games and has eighty-three (83) rows on the east side. The first row…

A: The objective of this question is to find the total number of persons that the east side of the…

Q: 1. Show that if x is a real number and m is an integer, then [x+m] = [x] + m 2. Draw the graph of…

A: first image is for Q2 and second image is for Q1Explanation:

Q: Solve the following non-homogeneous differential equation that represents a vibrating system where…

A: For the spring-mass system,The differential equation is :The aim is to solve the differential…

Q: Let y(t)= r(t)-2r(t-1)+r(t-3)+u(t-4), where r(t) is the ramp function. a) plot y(t) (10 pts.) b)…

A: The objective of the question is to plot the function y(t), z(t) and y'(t) and calculate the energy…

Q: (a) Find the Doolittle (L unit lower triangular) and Crout (U unit upper triangular) decompositions…

A: Given matrix .We have to find the  decomposition of the matrix.

Q: (c) AB (d) |AB|

A: |A| = -15, |B| = 52, |AB| = -780Explanation:

Q: 4. How many equal subintervals would be required to approximate the integral within 0.0001 by the…

A: Let number 9f equal subintervals be n. The error for approximate the integral ∫abf(x)dx…

Q: List the elements of U(18).

A: The elements in  which are relatively prime to are the elements of ..Two integers  and  are called…

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: The link above provides a list of ten symbolically written statements which are numbered 1-10. Each…

A: The explanation is given below.Explanation:a. The sets A and B are equal provided           [4]  [(x…