Find distance from point A(1,2,1) to the plane containing the three points B(2,2,4), C(−1, −2, −3) & D(0,5,7).

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A: Sol

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A: We will use basic rule of differentiation to  find dydx   rule 1 : du±vdx=dudx±dvdx rule 2 :…

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A:

Q: Use the Table of Integrals to evaluate the integral. dx e*(5 + 10e*) Select the correct answer. O-e…

A: Use the given integral.

Q: Q5/ Change the polar equation 2r = 2 + cos 0.(2r-1) to Cartesian equation Ans./y²-3x² - 4x-1=0

A: To find- Change the polar equation 2r = 2 + cosθ·2r - 1 to Cartesian equation.

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A: Introduction: The washer method refers to this application of the slicing procedure. Because the…

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A: Let us solve the compound interest problem in the next steps.

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A: As per the question we are given an initial value problem as : -d2u/dx2 = f With initial condition :…

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A: Congruent angles :        " Congruent angles are the angles that have equal measure."

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A:

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Q: * :Test the following function using limits x² - 25 lim x→→5 x² + 2x - 15 B) 5/3 A) 5/4 O C) 5/2 O

A: Apply the following steps to find the value of the given limit. Factorize the expressions in the…

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A: Please see the attachment

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A: Given integral  is I=∫021xdx Given function is f(x)=1x Since we know the  formula…

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A:

Q: An artist can complete 11 drawings each month. Currently her portfolio contains 50 drawings. How…

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Q: 3) Let r1(t) = and r2(t) = be two skew lines. Find the equation of the plane which lies exactly…

A: Given r1(t)→=t,t+2,2t and r2(t)→=t+1,2t+1,t+1 are two skew lines. We have to find the equation of…

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A:

Q: 03: Evaluate the following integrals dx (1) S 2x (1+Vx)

A:

Q: Home Work: Solve the following system of equations. -1 -30 45 18-0 -17 32 3) 1033 ܠ ܟ ܒ 1 -3 2 -2…

A: We can solve the given system of equations.

Q: 2. Solve using Laplace transform for y( y" + 4y' + 6y = 1- e-t, y(0) = 0

A: Given,          y''+4y'+6y=1-e-t, y(0)=0, y'(0)=0

Q: Vincent wants to build a rectangular vegetable garden with an area of 600 square feet. He has 100…

A: The quadratic equation has many applications in different real life scenarios. Many real life cases…

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A: We have to find the derivative .

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A: (c.) To explain: Why the following pattern is not clearable. (d.) To determine: The smallest number…

Q: 3. If A and B are ANY two sets, determine the truth-values of the following statements. If a…

A:

Q: 6) Solve ау " хсобу

A:

Q: Write each of the following sets in correct roster notation: (a) {n % 5 : x ∈ N}

A: Given (a) {n%5 : n ∈ℕ}   To Write Set in roster notation.

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A:

Q: Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. y" +…

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Q: Suppose we have the female population of a species is divided into juveniles, yearlings, and adults…

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

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A: Solution:

Q: 3 5 2 -1 -7 -3 -3 2 1 2

A:

Q: 2. Solve the outgoing signal problem Utt- c²uxx=0, x > 0, -∞0 <t<∞0; ux(0,t) = s(t), -∞0 < t < 00,…

A: From The above details we have.

Q: (+²-16) 2) Suppose that 4,₁(4), 4, (+), 41(+) are solutions Of different ea. 4" - 34" + (Sin +34 +…

A:

Q: A null hypothesis is rejected with a level of significance of 0.05. Is it also rejected with a level…

A: Consider given statement: null hypothesis is rejected with a level of significance of 0.05. Is it…

Q: Calculates the f f f(x,y)dA bounded by the given region ₁ Set² + y²dA where the region S is given by…

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Q: THIS BE SOLVED ANALYTICALLY? SO, HOW? (a=0.75 STILL) dy=ay (1-2y). 6y³ - dt 4y³+5 SET UP THE…

A:

Q: he length of the base of an isosceles triangle is 45.49 inches. Each base angle is 37.06°. Find the…

A: In this question, the concept of trigonometric identities is applied. Trigonometric Identities The…

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A: In this question, the concept of line of best fit is applied.

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A:

Q: Compute F+1/F correct to eight decimal places for 1 ≤ n ≤ 10. Compare each value to the value of…

A: To compute: Fn+1Fn for 1≤n≤10. and also compare with the golden ratio.

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A:

Q: Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. y" -…

A:

Q: 1. What is the result of the following arithmetic logic operation? 128.25+225.125 0101100001.011…

A: The result of the arithmetic logic operation is determined as shown below.

Q: Solve following L.P.P by using Big - M Method..

A: To find- Solve following L.P.P by using Big - M Method. Max Z = -2x1 - x2subject to3x1 + x2 = 34x1 +…

Q: Show that the equation e** -x+2=0 has a root between 2 and 3. Use Fixed-Point method to find the…

A: Lets solve  the equation by Fixed point method