1) State whether the following functions are odd, even or neither. a) t³ sin(at) b) t cos(2) c) sin(t) sin(4t) d) cos(wt) sin(2wt) e) et sin(t)

Q: Let R = {(a, a),(a, b), (b, b), (a, c), (c, c)} be a partial order relation on Σ = {a,b,c}. Let be…

A: It is given that R=a,a,a,b,b,b,a,c,c,c and ∑=a,b,c. The ordering ≺ is lexicographic ordering on ∑*,…

Q: Siven that A 244 57 -49 has an eigenvalue A = 6, find a corresponding eigenvector in the form = 44…

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Q: Find f(x,y) = ²x³+yª−xy+1 for −2≤x≤2; 2≤y≤2 a) fx fyfxx fyy,fxy. b) the critical points of f(x,y).…

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Q: Step 1 of 3: Find lim f(x). x 3 Answer -10 → 12 S Enable Zoom/Pan хшити 10 Keyboa Selecting a radio…

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Q: Solve by laplace transform y" - y = e' cost y(0) = 0, y (0) = 0

A: The given differential equation: y'' - y' = et cost Using Laplace transform both sides: We get,…

Q: Mathematically ( permutations and combinations) How many different ways are there to order the…

A: Note that this arrangement is circular.

Q: 51 4³x 25 = x 10° 99

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Q: Given the statement P(n) for integers n > 0. If you can't prove the base case, for which values of n…

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Q: 58. The owner of a small brewery in Milwaukee, Wisconsin, is using Winters's method to forecast his…

A: Given: Constants, α=β=γ=0.2; S10=120, G10=14, c10=1.2, c9=1.1, c8=0.8, c7=0.9To find: a) Forecast…

Q: can u resolve in simple way that write in paper?? hard to understand in keyboard typing

A: Note: As per your requirement i answered in handwritten on paper.

Q: Given matrices P = m 3 "].x = [], and X W and T = [ verify that the statements in Exercises 36-39…

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Q: 1. For which value(s) of p are the vectors {t 2 + 2t + 1, 2 - t, t² + t + p2} linearly dependent

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Q: The relation R is defined in A = {1,2,3} by a R b if |a^2 - b^2|1 <= 5. Which of the following is…

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Q: Find an equation of the circle that has center (-5, -1) and passes through the origin.

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Q: determine how high above the ground that person will be after 1 minute and 11 second?

A: Given  Radius of wheel = 14 m  Height above the ground = 1.5 m  Time taken for 1 revolution = 26…

Q: 1.) The solution of, y(0) = 1 is. A. r² = y² +1 B. y² = ² +1 C. y² = 2x² +1 D. y²-r² = 0.

A: The differential equation is defined as the equation containing the independent variable, dependent…

Q: Negative three times a number increased by seven is less than negative eleven

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Q: Express u= (15,46) as a linear combination urv + sw, where v (3,9) and w(4.13). (Use symbolic…

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Q: 1) The Primo Insurance Company is introducing two new product lines: special risk insurance and…

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Q: Solve the initial boundary value problem [u₁ = a² (Urx + Uyy), 0 0, Ut u(x, y,0) = A, |u(0, y, t) =…

A: The initial boundary value problem is:   ∂u/∂t = a^2 ( ∂^2u/∂x^2 + ∂^2u/∂y^2 ), 0 &lt; x &lt; a, 0…

Q: Show that the compound propositions [-p ^ (p V q)] → q is a tautology using propositional laws.

A: The laws of proposition needed for solving the given question: Distributive law For any three…

Q: Simplify 2x(x+1) −4(x+1) 2(x²-1) (x −1

A: Given function 2xx+12-4x+12x2-1, x≠-1

Q: (c) A triathlon competition consist of three events, running, swiming and cycling. The winner,…

A: To solve this, we use the following relation: Time=DistanceSpeed Let x, y, and z be the lengths of…

Q: d²x dt² Fin = m- dx +Ka +K₂x dt m = - Equation 2 (M) Equation 2 (M) is a second order differential…

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Q: The function is given: y=-2x³ - 4x +9 Find all derivatives up to zero: y=x"; y'=x²-1

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Q: Let A and B be sets. The symmetric difference of A and B is Select one: a. (A − B) n (B − A) - - O…

A: Given: Two sets A and B. We have to write the symmetric difference of A and B.

Q: 7. The estimate revenue and cost functions for the manufacture of a new product are R(x)=-2x²+15x…

A: We have  revenue and cost function  We know that the average profit function =revenue function -…

Q: a. Find the Riemann sum for f(x) = 1/x, 1 < x < 2, with four terms, taking the sample points to be…

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Q: Sketch the slope field and solution curves   a) yy' + 4x = 0, (1,1), (0,2)

A: The given equation is yy'+4x=0 for 1, 1 and 0, 2. To find: sketch the slope field and solution…

Q: 3) Before you leave for your trip, you have to finish your last task at work: build a slide at for…

A: The perpendicular height is 6.5 ft Angle of elevation 40°

Q: The graph below is comprised of transformation of tool kit functions. 6 -5 3 f(x) = { 4 34 2+ 1- -2…

A: Graph of the piecewise function is given, we have to find its equation.

Q: Use the Laplace transformation to solve y" + 4y' +2y= u(t-1)-u(t-2), y(0) = 0, y'(0) = 0.

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Q: $5,000 is invested into an account that earns 3% annual interest, compounded monthly. How much is in…

A: Compound interest formula A=P1+rnnt Where A is accumulated amount, P is principal value, r is rate…

Q: Simplify. 2 -1 (u=²) 2) (37) 3-2 -2 Write your answer using only positive exponents.

A: Here we can use following power rule to simplify the given expression:…

Q: The eigenvalue k and the eigenvector v of the matrix A follows: O O O O Av=kv insufficient…

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Q: Let Z denote the set of positive integers. Define a relation R on Z+xZ+ by (m, n)R(s, t) iff gcd(m,…

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Q: Solve for r in terms of P, n, and t: P = (1 + ² )'

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT Determine {f(t)} for: a) f(x) = 3x3 - 10x+8 b) f(t)= e-4x

A: a).  Given f(x) = 3x3 - 10x + 8 As Lf(t) = ∫0∞e-stf(t)dt So here Lf(t) = ∫0∞(3t3-10t+8)e-stdt…

Q: 3 3. f(x) = (0.25)

A: Given function  fx=320.25x

Q: 3. Verify by differentiation that the function provided solves the differential equation. a y' = 2y…

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Q: Suppose that April's Pet Supply has three stores in cities 1, 2, and 3. Ben's Pet Mart has three…

A: Given: Here is the given data, To find: Construct the A and B matrices to represent the data in…

Q: 10. Discuss a Fourier series representation of the function. ƒ(2) = { 1+ Using this series, show…

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Q: Please help I need to revise for tomorrow test

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Q: The centroid of a solid can be determine by using the given formula below. = = !!! ² = x ² x dV ==…

A: We will use spherical coordinate system to find value of all integral ' Here we need to use relation…

Q: Complete the square of the quadratic function f(x) = 3x² - 18x + 26.

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Q: 7. Determine (with proof) if the following series is converging absolutely, converging conditionally…

A: The given series is ∑-1nn+1lnn+1.   The alternating series test states that if an is a positive…

Q: Why is 1% = e ?

A: To Prove: 1♾️= e

Q: line. Show that f(x) = 1 is uniformly continuous on the entire real x² + 1

A: Given: Function, fx=1x2+1To prove: fx is uniformly continuous on ℝ.

Q: A.The spanning tree of G has 8 edges B.G All spanning trees must contain edges (8,9) The spanning…

A: In this solution, we will be discussing the properties of spanning trees in a graph and whether…

Q: Use the GCF and the Distributive Property to find the sum. 30+78 Write each number as a product…

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