Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does not exist, enter DNE.) x = 8t + 2,    y = 3,    z = −t + 1 x = 2s + 2,    y = 2s + 3,    z = s + 1 If the lines intersect, find and the angle between the lines.

Q: Example 9.6. The integers 0, 1, 1, 2, 3, 5, 8, 13, 21, sequence. Form the Fibonacci difference…

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Q: 2. Let N (x) be the statement "x has visited North Dakota," where the domain consists of the…

A: We have Nx is "x has visited North Dakota" Now, the universal quantifier ∀x Nx means that the…

Q: @ For the following power series expansion, Test . and find the radive of convergence the end point…

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Q: 2°) Write the volume integral of the solid bounded by 2 = √√√ x² + y²² and Z=√√2-x²-y²², in a)…

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Q: 9. If a rock is thrown upward on the planet Mars with a velocity of 10 m/s, its height (in meters)…

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Q: - - * x - م - و : (of : (x) } cu

A: This is a question from the series and sequence.

Q: [x√1 + x² dx Find the integration in the Simpsons method when n=3 Then compare the integral with the…

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Q: 2. A firm uses capital, K, and labor, L, to produce output P according to P = KaL, a, ß are positive…

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Q: Example 12.14. Find an optimal solution to the following L.P.P. be computing all basic solutions and…

A: The problem belongs to the concept of L.L.P.

Q: Consider the following game and the direct correlation device. Show that the device is a correlated…

A: Solution:As we can see that A1  is the best response to P1's arrangement, though P2 is best response…

Q: Example 8.27. Using trapezoidal rule, evaluate I = 1²₁² dxdy, taking four sub-intervals. r+ v

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Q: Let S be the solid of integration of the given integral Q. (1.) Sketch S and label its boundaries.…

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Q: f(t) = 4t³ sin t

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Q: Let S be the solid inside the sphere p = 6cosø and below the cone Ø = n/4 Set-up the iterated triple…

A: We will convert equations from spherical to cartesian co ordinate system and then find limits for…

Q: Example 8.10. Evaluate Sº (ii) Simpson's 1/3 rule, (iii) Simpson's 3/8 rule, dx Jo. 1 + x² by using…

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Q: Example 10.1. Using Picard's process of successive approximations, obtain a solution upto the fifth…

A: we need to solve this problem using picard's method.

Q: Question 20 Evaluate ·S= A B C D 3x5 3x4+6x3-3x2 - 6x x+In[ + In -dx. using method of partial…

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Q: sin Đi = i sinh 0

A: The given problem is prove the following complex trigonometric identity using euler identities. The…

Q: When A has full rank, the pseudo-inver en m≥n, and as A+ = AT (AAT)-¹ when n A = I, so A+ is a left…

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Q: 5 6. (s+3)² 7. 3 s2-32 8. L{f(t)}: 3s²-1 s²+8+1

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Q: 3. A loan of 7 quarterly payments of Php.8,300 is to be made, to pay for a loan at 10% compounded…

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Q: C: 2: Find the first 4 terms of the Maclaurin series for : In(1+x)

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Q: 4. Sam invested $5000 in a high interest savings account and earns 3.5% simple interest per year.…

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Q: Example 10.15. Apply Runge-Kutta fourth order method to find an approximate value of y when x = 0.2…

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Q: A = {{]-[~-3²2)} and A²={_-¹,1],[9]}. If B=[82] is the matrix representation of linear operator Z:…

A: Given that A = 11 , -23 and A' = 1-1 , 01. Also given that B = 3204 is the matrix representation of…

Q: Consider √(x- ·S= x-m+ 3x5 3x4+6x³-3x² - 6x A B C + + x-1 x+1 x+m A) 5 B) 6 C) 17/6 14/3 -dx. Using…

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Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x + 5)^2 = 2y,…

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Q: (a) Find the solution set of the homogeneous linear system below. x + y + 2z = 0 - y3z + w=0…

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Q: Determine the value of angle in the following equations. cos 0 0.4917 sin = 0.0859 8 = tan ¹8.031 e…

A: Solution : 1) cos(θ)=0.4917 ⇒θ=cos-10.4917 ⇒θ=±60.55°+360°k Where k∈ℤ 2) θ=tan-18.031 ⇒θ=82.9°+180°k…

Q: Q2: Use the shell method to find the volumes of the solids generated by revolving the regions about…

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Q: K be a field extension of a fi is algebric over F if and only of 5 that [56)

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Q: Arithmetic between 30 and 75

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Q: ▪ Solve the following SLEs in a clean sheet of paper (preferably bond paper). ▪ Show a complete,…

A: Solution

Q: 1. Which of the following has an asymptote and which has a hole? Why? (Hint: Use desmos and look at…

A: h(x)=(x+3)(x-2)(x-2)funtion is not defines for x=2 ,and for x≠2 h(x)=(x+3) which is a linear…

Q: A spring with a 2-kg mass and a damping constant 8 can be held stretched 1 meters beyond its natural…

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Q: A spherical tank of diameter 4 m is half-full of water (weight density = 9800 N/m³). Setup the…

A: We will find work done to empty a horizontal slice of water and the integrate it to find total work…

Q: Prove that: (A+B)•(B+C)x(C+A) =2A•BxC

A: Let A, B, C are 3 vectors. Then it can be written that: A×B+C=A×B+A×CA×A=0A·A×B=0B·A×B=0A·B×C=A×B·C

Q: 1. Let S be the solid of integration of the ff. integral Q. Sketch S and label its boundaries. 16-22…

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Q: 2. Let A € M, (R) be given. (a) If AA = 0n, prove that A = 0₁. Does this hold if A € M₂, (C)? (b)…

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Q: Use Fermat's Little Theorem to compute 51990 mod 7.

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Q: - - 2y = 0, y(0) a. Let I=(-1,1). Which statement below is NOT true? Consider the equation a (A)…

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Q: 5. An object attached to a spring oscillates around a position and is represented by the function y…

A: Solution

Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x + 5)²=2y, the…

A: Follow the steps.

Q: Use Simpson's Rule to evaluate the following. n = 10 3 1 dx 1+x² -3

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Q: 3) Using mathematical induction, show that for all integers P(n): n ≥ 8, n can be written as a sum…

A: We have to show that for all integers Pn, n≥8, n can be written as a sum of 3'sor a sum of 5's or a…

Q: p(1U1) and p((2U2) 1)). 0.11 0.05 0.07 0.08 0.09 0.10 0.20 0.12 0.15 1 0.03

A: Follow the steps.

Q: Directions: Translate each argument into symbolic form (using the suggested letters) and determine…

A: We need to translate given argument into symbolic form and then we need to determine the validity of…

Q: By using the method of least squares, find the best line through the points: (2,-3), (-2,0), (1,-1).…

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Q: Example 10.2. Find the value of y for x = 0.1 by Picard's method, given dy y-x dx (P.T. y + x³y(0) =…

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Q: Refer to image.

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…