Using Linear Algebra’s application of determinant matrices, find the equation of a plane with the following three points (−1,2, −3), (4, 0, 9), (−3, 1, 7).

Q: It is given that  AC = BD. After proving that △BAD≅△ABC△BAD≅△ABC  and △ADC≅△BCD△ADC≅△BCD, a teacher ...

A: Given step by step clear explanation   

Q: which value ninimum 1

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Q: The annual interest rate on credit card is 24.99%. How long will it take to pay off an unpaid balanc...

A: According to the guidelines I am answering only first question.

Q: 1. Compute the limit. Use proper limit notation throughout. xy lim (1,y)→(0,0) x² + y8

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Q: Maximize p = x + y subject to x + 2y 0, y > 0. P = 12 (x,y) = 6,0 %3D

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Q: BQ: QS = 1:2 %3D 2. AR: RC = 1: 2 %3D AS : SQ = 7 %3D

A: Introduction: From the Menelaus theorem, if a triangle has the form, then CBBA×ADED×EFCF=-1.

Q: Determine if the columns of the matrix form a linearly independent set. 1 2 -3 6 3 7 -6 3 8 -1 -6 Se...

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Q: Find the sum of 413.403, 4.12356, 4193.48, 95.631, 4.1284, and 78 A 54972.3596 5497.23606

A: Introduction: Addition is a mathematical operation that is used to add numbers. The sum of the given...

Q: dife equa Oʻu 4. -+X- +x +18 2

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Q: Given the relation a : N N defined by Answer True or False. Provide a rationale for every answer. n(...

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Q: y" - 4y' + 5y = 0

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Q: A fire truck is to be added to a certain district. Which district should get the Fire truck?   Are...

A: Given: Total number of trucks = 18+22=40 Total number of houses = 23208+50443 =73651 D=7365140=1841....

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Q: Let 'f be a continuously differentiable real valued function defined bx + a by f(x) ={ 5x x<1 x21 Th...

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Q: Determine if v is in the set spanned by the columns of B. 2 -3 2 - 4 6 -7 9 - 4 B = v= 6 -5 15 4 6 -...

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Q: A point P(1, 3, -5) is translated by 2i+3j-4k and then rotated counter clockwise by 90° about the z-...

A: Given a point P(1,3,-5) is translated by 2i^+3j^-4k^ and then rotated counter clockwise by 90° about...

Q: What is the volume of this hexagonal prism? 17 cm B = 25 cm2 V= Bh 000000

A: The volume of a regular solid is calculated by multiplying the area of its base by its height. We ne...

Q: Amanutacturing oompany receives orders for engines trom two assembly plants. Plant I noeds at least ...

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Q: What is the quotient when 4 +8i is divided by i3

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Q: Prove the given statement step by step using mathematical induction or strong mathematical induction...

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Q: Let E be the part of the unit sphere r² + y²- = 1 where z > vx² + y². Calculate 22 dA.

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Q: 2. Let X, Y and Z be sets. A, B are subsets of X. f:X → Y is a function. Prove the given statement i...

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Q: Apply the parallelogram law to get the sum and difference of the following complex numbers. For veri...

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Q: In mathematics, a row is referred to as a tuple. Can you explain this?

A: Tuple is defined as a finite ordered list of elements. 

Q: In rectangle PRST, ST and RTare extended as shown in the figure below. The measure of ZPTR is x° and...

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Q: for some a >1, then ti ||

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Q: 10x-19 4x+23

A: It is known that the lengths of two tangents drawn from an external point to a circle are equal. We ...

Q: The Indicated function y, (x) is a solution of the given differentlal equation. Use reduction of ord...

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Q: The solid box has a dimension of (2x + 7)cm by (2x + 3)cm by (3x + 4) cm. (a). Find the polynomial f...

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Q: opose 1 and -1 f the eigen valu V

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Q: 2i+3j-4k and ax1s axis. The new p

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Q: Numerical Error Exercises For the following numbers, determine the number of terms of the Maclaurin ...

A:  Upper bound of error for a series of function f(x) about point x=a Rn(x)=M(n+1)!(x-a)n+1 M is high...

Q: Solve the given differential equation by undetermined coefficients. y" + 2y = - 18x²e2x y(x) =

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Q: Solve the problem with Neumann boundary conditions, Ut – Uzz = 0, x,t > 0| u(x,0) = f(x) и, (0, t) —...

A: As given by the question There are given that the equation: ut-uxx=0, x, t&gt;tux, 0=fxux0, t=0 And,...

Q: 2. Let F = Q, K = Q(V5), and E = K(i, 5+ i). (a) Regard K as a Q-vector space (i.e. with Q as the fi...

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Q: Solve each of the following by Laplace Transform: d y dy dr? y (0) = 4 , y" (0) = –2 3.) + 4 + 2 - 6...

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Q: The parametric equations for a hyperbola are x = 2sec0, y= 4 tan 0 . Applying the parametric differe...

A: Using the parametric differentiation, the expression: dydx can be written as dydx=dydθ×dθdx or dydx=...

Q: Calculate the following products and sums or give reasons why they are not defined. i. Aa, Ab, Ab™, ...

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

Q: n²sinx Show that g„(x) converges uniformly to x e [1,5]. 1+ n²x

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Q: Q4. Negate the following quantifiers. CLO.4 a) 3y(y? > y) b) Vxvy(((x 2 0) ^ (y 0)) c) vyaz(zzy)

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Q: The square has a side of (3x + 2) meters. (a.) find the polynomial function that will represents the...

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Q: 2. IShow, using the definition of the derivative, that the function f(x, y) differentiable at every ...

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Q: Here are Spock's given assumptions of Tribble population growth: * Initial population = 1 * 3 days o...

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Q: In the previous Problem Set question, we started looking at the cost function C (2), the cost of a f...

A: The derivative of xn with respect to x is calculated using the formula: ddxxn=nxn-1. The change in t...

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Q: Positive Undefined Zero Negative 3.

A: The general form of a straight line is   y = mx + b  where m is the slope and b is the y- intercept ...

Q: 2 2. Write the equation in standard form for the circle x+ y' + 8y 34 0. Submit

A: Given the equation for the circle is x2+y2+8y-34=0

Q: A is a 3x5 lutions of ho

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Q: 7. When graphing an inequality, inequalities that are less than or greater than would have a If the ...

A: When graphing an inequality, inequalities that are less than or greater than would have a .............