. Find the acute angle between the line joining A(1,2,3) and and the plane containing point C(1,0,2), D(5,1,6) B(5,1,7) and E(3,3,1).

Q: A system of two equations in three unknowns has been manipulated, and after correctly using…

A:

Q: Problem 1. Define the sequence a, such that a₁ = 3, a₂ = 5. For each n ≥ 3, an = an−1+2an-2-2. Use…

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Q: 5. 4 (secx-1)(sec² x+secx+1) Sª cos² 2x-2 cos 2x+1 -dx

A: Indefinite integral is the process through which one can determine the function which on…

Q: Problem 5. Using the definitions for O and N, prove formally that a) n³+15n+2 is O(nª) b) 2n³ +25n…

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Q: PROVE THAT : (A•B XC) (a• b x c) = | A • a B.Q C. a A.b B.b C.b A.c Boc C. c

A:

Q: Q/The Value of the root of the equation 2x-ino-5X-4 using the repetition methood is that the…

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Q: 2. Determine if the series converge or diverge, using Integral test. 3ne-n² n=0

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Q: 5 2 X-1 d x

A:

Q: rivial of

A: To find the non trivial of Z8 as,

Q: MATHEMATICS 9 5TH MODULE NAME: Meloupe Grace M. Alburo THE DISCRIMINANT Exploring Math You have…

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Q: { :Find the first 3 terms for 2n-1 (2n-1)! (−1)n+¹

A: given sequence  -1n+1x2n-12n-1!

Q: Find the standard deviation for the grouped data. College Units Frequency 0-24 4 25-49 3 50-74 6…

A: Here we use simple method which is used to find deviation

Q: Home Work: Solve the following system of equations. 4 8 0 6 -2. X₁ 4 4 X2 9 1) 2 -1 2 -1 -3 -4X3 -6…

A:

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

A: Introduction: To make it less hard or difficult; to make it simpler or easier To condense an…

Q: 12. Triangle LMN with vertices L(-9, -1), M(-3,-4), and N(-5, -8): a) 270° counterclockwise rotation…

A: Given: Triangle LMN with vertices L-9, -1, M(-3, -4) and N(-5, -8). a) 270° counterclockwise…

Q: Consider the eigenvalue problem X" (x) -pX(x) = 0 (0 < x < 1) X'(0) = -X(0), X'(1) = -X(1), where p…

A: Given  X''(x)-pX(x)=0  , 0&lt;x&lt;1 …………………1 Boundary condition: X'(0)=-12X(0) , X'(1)=-X(1)

Q: 7. Given the function f(x, y, z) = x² + y² + z² + xy + xz, find the gradient at P(1,2,1).

A: Must Know : Gradient function is given by ∇f=∂f∂xi+∂f∂yj+∂f∂zkGiven : f(x,y,z)=x2+y2+z2+xy+xz…

Q: solve the following linear programming problem by applying the simplex method to the dual problem…

A: Let us solve the given LPP using Dual simplex method in the next steps.

Q: ΗΣ 1 •n=1 an = 3π , find limno 2 sin(an)+11 4

A:

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

A: From the above details we have,

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…

Q: If the present value of a cash flow at an annual rate of interest of 4.5% is $30000, what is the…

A: When the interest is compounded, then the formula used is A=P1+rnnt , where, A is the final amount,…

Q: Find the solution of the initial value problem y" - 2y' - 3y = 21te²t, y(0) = 4, y'(0) = 0. NOTE:…

A: We have given a differential equation ,  y'' - 2y' - 3y = 21te2t   with initial conditions y0 = 4  ,…

Q: * Drive the following function for :(y) (5xy²z)²/³ * (sinxz) 20(sinxz) (xyz) 3(5xy²z)¹/3 A 10(sinxz)…

A:

Q: Consider the following differential equation: d² u =f dx² du(1) dx du (0) = α, a ER dx where x € (0,…

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

Q: ombine the methods of row reduction (row of operations) and cofactor expansion to compute the…

A: INTRODUCTION: The determinant can be thought of as a function with a square matrix as its input and…

Q: Neme Find the area (in sq.units) of each figure K

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

Q: Find the Wronskian of two solutions of the differential equation t²y" — t(t − 3)y' + (t − 6)y = 0…

A:

Q: (A) Find the integration factor of the non exact differential equation ev (x² + +1]dx + ( +2y dy=0…

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Q: Congruent Angle Construction

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

Q: Show the surface area and volume of a sphere with radius r is 47r² and ³ respectively.

A:

Q: 6. Let f(r) be a function such that: | ƒ(−1)| ƒ'(−1) | ƒ"(-1) | ƒ""(-1) | ƒ(4) (-1) | ƒ(5)(-1)…

A: The Taylor series of a real or complex-valued function f (x) that is infinitely differentiable at a…

Q: Calculate the Y-coordinate of the centroid of the rectangle shown in .Figure

A: In this question, the coordinate of the centroid of the rectangle is applied.

Q: Home work Əw 1. If w = xn f() show that x Əx +y Əw ду = nw where n = integer.

A: Introduction: In mathematics, differentiation is the process of determining the derivative, or rate…

Q: Part: b:Let W be the set of all vectors of the form shown below in parts į and ii. In each part,…

A: (1) Here given set  W=2a+3b-12a-5b: a, b∈ℝ Now if a∈W such that, a=2a+3b-12a-5b Then a=2a-12a+3b0-5b…

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Q: . Suppose £6500 is deposited at a nominal rate of interest of 5% per annum. ( icurate: The value of…

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

Q: If under the bilinear transformation W 19 W 2, W 3, W 4 are the images of Z₁, Z2, Z3, Z4…

A:

Q: Use Simpson's 1/3 rule with (n₁ = 2), and Simpson -2 1 estimate tan-¹(2). [Hint: tan-¹ (2) = ₁²; dxl

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

Q: ponding parts of congruent triangles require a knowledge that two triangles are congruent if their…

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

Q: For the function below, find (A) f'(x). (B) the partition numbers for f', (C) the critical numbers…

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Q: Find the points on the cone 2² = x² + y² that are closest to the point (3,-3,0)

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Q: Evaluate Š dx

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Q: for the p-series 1 пр n=ln 1 1 1 + + 1P 2P 3P +...+ +. 1 пр A) then it converges O C) then test…

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Q: 4. Express each of these statements using predicates, quantifiers, logical connectives, and…

A: To find- Express each of these statements using predicates, quantifiers, logical connectives, and…

Q: Let y: IR→ R be the parametrised curve Y(t) = (-2+cost, 1-sint, - cos t a) Show that y is unit…

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Q: convert 0.7486 to the nearest thousandth

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Q: Problem 2. Use mathematical induction to show that when n is an exact power of 2, the solution of…

A: When n=2 Then T(n)=2=2log2 So it is true for  n=2

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

A: From the above details we have,

Q: Examples. Justify your answers briefly. (a) Is ---- ) conditionally convergent or absolutely…

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