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Q: The function f(x, y, z) = x² − y² − z ² increases in the direction 〈六〉 (1, 1, 1). at the point

A: Please check step 2 for solution.

Q: Is the following questions below a NEVER TRUE, SOMETIMES TRUE, or ALWAYS TRUE. a.) The set of all…

A: The span of a set of vectors is the set of all linear combinations of the vectors.  A  set of…

Q: You can afford a $1400 per month mortgage payment. You've found a 30 year loan at 8% interest. a)…

A: Given that pmt = $1400 t = 30 years r  = 8% = 0.08 One year has 12 months so n = 12 Let P0 is the…

Q: 3. Give an explicit real value general solution following equations. 2 x 6x² + 8x = 2e-97 b) y"-y-2y…

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Q: 6n2 n

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Q: Which quadratic function matches this graph? O f(x) = x² − 14x +45 O f(x)=x²- 11x + 28 O f(x) = x² +…

A: As per our guidelines we have to answer the first question if multiple questions are posted at a…

Q: Let G and L be relations on A = {1, 2, 3, 4} with G = {(1, 2), (2, 3), (4, 3)} and L = {(2, 2), (1,…

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Q: Given the following set S of matrices, find a matrix A in M2,3 so that SU{A} spans M2,3 and a…

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Q: 5. Find the 45th term of the pentagonal numbers {1, 4, 12, ...}. Show how you get your answer here:

A: We know, The nth pentagonal number is given by Pn = n(3n-1)/2   Here P1 = 1(3*1-1)/2 = 1 P2 =…

Q: Find all the critical points and the absolute extrema(absolute maximum and absolute minimum values)…

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Q: - 2 How did he get the value inside the circle X(t) = 1-t 1-t 1 2 = 21 xĐ) = i-t 1-t = = 2TT >0<t<1…

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Q: The scores on a test are normally distributed, with a mean of 82 and standard deviation of 8. What…

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Q: (i) (1, 1), (-6,0), (-2, 2), (-2,-8)

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Q: Given the following set S of polynomials, find a polynomial p(x) in P₂ so that SU {p(x)} spans P2…

A: Here given set S=-5x2+4x-9, -8x2-6x+8 First, check whether S is Linearly independent or not.…

Q: (jw+4) (jw+3) (jw+2) (jw+3) + B (jw+2) A(jw+2)+B(jw+3) (jw+3) (jw+2) Ajw+2A+Bjw+3B (jw+3) (jw+2)…

A: Introduction: The partial fraction decomposition is a method to simply a fraction that is written as…

Q: 1. When the function x is of a single variable e.g x= x(t) then the differential is termed (a) First…

A: The answer is ordinary differential equation. Option C is correct.

Q: Solve each initial value problem with Discontinuous Forcing Functions And use Laplace transform y"…

A: Introduction: The Laplace transformation is a method to solve an initial value problem. This method…

Q: method

A: We use Cauchy's Residue theorem.

Q: Determine if the sequence {a} converges or diverges. Find the limit if the sequence con an = 1 - 9n…

A: The given sequence is an=1-9n4+9n find the limit , if limit n→∞ exists, then limit converges. If it…

Q: 10. f sin x dx 25+cos²x

A: To find- Solve ∫sinx dx25 + cos2x

Q: Let A = (0, 0, 0, 0) and let # be a binary operation from A X A to A presented by the following…

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Q: JA ITI system is described by the D.E. y +6 Y+8y=2X(+) find h(t), then find y(t) if X(t) = te²t tro-

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Q: - Given the following two fuzzy sets: tall = 0.2/4.0 +0.4/4.5+0.6/5.0+ 0.8/5.5+0.9/6.0(in feet)…

A: Given that: Two fully sets, tall=0.24.0+0.44.5+0.65.0+0.85.5+0.96.0…

Q: 10. f sin x dx 25+cos²x

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Q: The natural logarithm of the complex number (a + 2.00i) is equal to c + 1.1981. Determine the value…

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Q: fsin(sin(x))dx

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Q: JA ITI system is described by the D.E. y +6 Y+8y=2X(t)_ find h(t), then find y(t) if X(t) =…

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Q: Is the following questions below a NEVER TRUE, SOMETIMES TRUE, or ALWAYS TRUE. a.) For 0<m<n, R< R¹.…

A: (a) For 0 &lt; m &lt; n, Rm ≤ Rn.  Justification :- Let x ∈ Rm then x is a m - tuple and Let y ∈ Rn…

Q: answer

A: Simple intrest 263.72

Q: Exercise 5 (a) Find a complete solution of Clairaut's equation: 1/3 1/3 z=xp+yq +3pq (b) Show that…

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Q: A brine solution of salt flows at a constant rate of 7 L/min into a large tank that initially held…

A: Let x(t) be the mass of salt in the tank at the time t.xi(t) be the amount of solution coming in to…

Q: We consider the non-homogeneous problem y"-y-22-20 cos(22) +1 First we consider the homogeneous…

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Q: Evaluate the iterated integral below. π 1 S. *S'y cos (x) dy 0 0 dx

A: Here in above question we have to find iterated integral.

Q: Solve the given DE using 3 possible solutions: x³-2y³ 3.xy-2 ||

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Q: Let CR denote the circle z = Rei (0 ≤ 0≤ 2π). Show that lim R→∞ CR 2-4 (2² + 1) (2³ — 5) dz = 0

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Q: You borrow $48,000 at 7.6% compounded monthly.  If you make monthly payments for 10 years, how much…

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Q: (jw+4) (jw+3) (jw+2) B + (jw+3) (jw+2) A(jw+2)+B(jw+3) (jw+3) (jw+2) Ajw+2A+Bjw+3B (jw+3) (jw+2)…

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Q: (e) Second order differential equation 3. The nontrivial analytical solution of (a) 3-et dx x + dt…

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Q: (a) Determine the domain of analyticity of f(3) 3-6z+25 Compute ff(z) dz, where is the circle J2-3…

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

Q: Determine the values of constants a and b so that f(x) = ax^2 + bx has an absolute maximum at the…

A: Given that  f(x) = ax2 + bx has an absolute maximum at the point (1,2).

Q: A tailor has the following materials available: 16 square yards of cotton, 11 square yards of silk,…

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Q: Write a in the form a=a+T+aNN at the given value of t without finding T and N. r(t) = (2 e¹ sin t)i…

A: INTRODUCTION: The formula of the Tangential component of the vector r(t) is given by, aT=v·av The…

Q: 6. 3π -<x<27. Draw the angle in the coordinate 2 plane in the appropriate quadrant IN THE SPACE…

A: Introduction: Finding the values of the trigonometric functions for half-angles might be quite…

Q: Consider a rectangular pulse [1,0 < t < 1

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Q: For what values of z does the series n²(¹3)" =1 converge? Find the sum.

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Q: Let f(x, y) = g(x) + h(y) where g(x) and h(y) are positive. If g(x₁) ≥ g(x)and h(yo) ≥ h(y) then…

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Q: Three adults and five children are seated randomly in a row. In how many ways can this be done if…

A: Option(1) is correct

Q: 12. Check the convergence of the following power series, find the radius and interval of conver-…

A: (12) We have to check the convergence and find the the interval and radius of convergence of the…

Q: the binary operation of 13. Let : Z6→ Zs be the map defined as a (a mod 5) for a e Zo. Determine…

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Q: 8. (a) T F The xy-trace (on the xy-plane) of the surface x² + y² − z² = 0 is a point. (b) T F If…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…