Question 2. If arx² + bx + c = a (x − d)² with a ‡ 0, find d in terms of a, b and c.

Q: n k=1 Use the "summat (4 + 3k)² = (HINT: You must first expa

A:

Q: Graph the feasible region. x + y 2 1 -x + y 2 7

A:

Q: A = [12] 13 compute 4-3

A: Solution :- First find the inverse of matrix A Here A =1213A-1=1213-1Find 2x2 matrix inverse…

Q: Problem 2. For each of the following equations determine whether they are linear and if yes, how…

A:

Q: (d) Find the flux of F across S, the surface of C, given that F(x, y, z) = (2x+cosh(5yz)] i+ [zxe¯*…

A: As per the question we will have to solve the questions (d) & (e) only. Where we have to find…

Q: Solve for : y = 14x + 4 (mod 51) Step 1. subtract 4 y- 4 154 Step 2. Find the multiplicative inverse…

A:

Q: A special rubber ball is dropped from the top of a wall that is 64 meters high. Each time the ball…

A: The ball drop from the top  wall that that is 64 m  high. The ball bounces half the distance it fell…

Q: Question 3 Use the Laplaçe transform to solve the initial values problem: y" + 4y = S(t-1)-8(t-2),…

A:

Q: Find matrices A, X and B so that the given system of equations can be written as AX = B. 10x + 2y =…

A:

Q: 3. i. Prove directly from the definitions that if g: R → [1, ∞) is a function so that limx-c g(x) =…

A:

Q: Determine the phase shift of the function. (4-1) y = -4 sin 4x OA. T 2 OB. T 8 units to the left…

A: fx=y=-4sin4x-π2

Q: 2-2. Compute the expressions of the first five Chebyshev polynomials of the first kind T2, T3, T4,…

A: The Chebyshev polynomials of the first kind are defined as:   T_0(x) = 1 T_1(x) = x T_n(x) =…

Q: he Perez family is making a patio in the back yard. They are using patio blocks that measure 12…

A: Answer given below.

Q: Let & = {Q.A} be the standard basis for R2. (a) Show that B - {0.3]} is another basis for R2. (b)…

A:

Q: Prove that the metric ∞ in Rn given by da(x,y)= max {1x₁-yil,xn-yol } satisfies the axioms of the…

A: The given metric on ℝn is d∞x, y=maxx1-y1, x2-y2,....,xn-yn. We have to check the axioms of the…

Q: (a) Convert the point whose polar coordinates are (8, 37/4) to rectangular coordinates. 2 = ( [ (x,…

A: (a). Given that the polar coordinates are 8, 3π4.

Q: Matrix A shows the number of servings of each food that each person eats per day. Matrix B shows the…

A:

Q: Let f and g be real functions. Show directly from the definitions that if f is everywhere continuous…

A:

Q: A woman bails out of an airplane at an altitude of 12,000 t, falls freely for 24 s, then opens her…

A: We know that: xt=x0+vrt+1ρv0-vr1-e-ρt Given that, x0=12000v0=0ρ=0.15 The terminal velocity:…

Q: The function y = 2x² is translated 1 unit to the right and 4 units down. The new function can be…

A:

Q: A7. Find Vf and Vf|| for the function f(x, y) = cosh(xy). At the point (1, 2) find the maximum rate…

A:

Q: 1.1. Consider the profile AABABAABBBBBBA B BB Who wins under: (a) the simple majority method? (b)…

A: Note:As requested for part C and part D.I am providing you the answer of only part C and part D.

Q: Graph the solution set. 2x+y <8

A:

Q: T(u) = Define the linear transformation T: R² → R³ by T(x) = Ax. Find the images of " = TV) Let II A…

A:

Q: Let f be a function from the complex numbers to the reals. Show that if for every convergent…

A: Definition: Let an be a convergent sequence that converges to the limit l, if given ε&gt;0, there…

Q: Question: (d) Find the work done by F in moving a particle along any closed path C. (e) Consider two…

A: As per the instructions we will solve the question (d) &amp; (e), where we are given a vector field…

Q: Let f(x) (a) The derivative of ƒ(x) is ƒ'(x) = 6x^2+6x-336 = 2x³ + 3x² - 336x. Complete this problem…

A:

Q: 1. Given: Let p = Line a is parallel to line b Let q = Some prime numbers are odd Letr = 3+46 Let s…

A:

Q: Do all with explanation

A:

Q: A weight of 10 lb stretches a spring 6 inches. The weight is drawn 4 inches below its equilibrium…

A: We can use the relationship between the weight, spring constant, amplitude, and period of a…

Q: The matrix below is in echelon form. x y z 0 1 0 equation 1 equation 2 equation 3 00 00 Write the…

A: Answer given below.

Q: Find the work done by the force F = 2i - 7j in moving an object from the point (2, 1) to the point…

A:

Q: Suppose n E N, X = R", and for any pair x, y EX define d(x, y) = Show that d is a metric on R. n…

A:

Q: 1.3. Suppose you favor one of two alternatives but only 10% of the electorate agrees with your…

A: (a) If you favor one alternative and only 10% of the electorate agrees with your position, it is…

Q: 4) In the two-phase technique, how do you determine if the original LP model has a feasible…

A: In the Two-Phase Technique, to determine if the original LP model has a feasible solution, we first…

Q: Solve. (Enter your answers as a comma-separated list. If there are infinitely many solutions, enter…

A:

Q: Graph the feasible region. x +y > 7 -x + y< -1 No Solution Help -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 10 9…

A:

Q: The velocity of a fluid for (x, y, z) is given by v = (ax + by, cx + dy, 0) a. Find the conditions…

A: v=ax+by,cx+dy,0

Q: Geometrical aspect +∞ k=1 +00 k=1 1 ? Algebraic aspect 1 2k 1 1 1 + + 4² 43 1 3 1 1 + + + = 1 2² 23…

A: In geometric series, it is convenient to consider a geometrical aspect that can help in visualizing…

Q: 2. Maximize z = 2x₁ - 1x₂ + 3x3 Subject to: 1x₁ - 5x₂ + x₂ ≤ 10 2x₁ − 1x₂ - 1x₂ + ≤ 40 X₁, X₂, X3 ≥…

A:

Q: [(4- (4 – y)dx – (2 − y)dy, there - L L x = 2(t-sint), y = 2(1 - cost),0 ≤ t ≤2π. -

A: The given integral is: ∫L4-y dx -2-ydy where the curve L is defined as x=2t-sin t and y=21-cos t,…

Q: 5. If the median annual salary for 4 employees is $60,000, then which of the following must be true?…

A: The median salary of 4 employees is $60,000

Q: By using the TVM solver can you determine the interest rate on a loan of $3 100, if interest is…

A: Given that The laon amount P=$3100The Final amount A=$4626Componded weekly  n=52Time  t = 182 weeks…

Q: Consider the function f: [0, 2π] → R defined by f(x) = sin(x) when 0≤x≤ ²/5 ; when < x ≤ 2π. ax+b A.…

A:

Q: A 2-dimensional multivariate Gaussian probability density function g 13 -5.2 has mean vector m = [2]…

A: As per the question we are given a bivariate gaussian distribution g having mean vector m and…

Q: A woman bails out of an airplane at an altitude of 13,000 ft, falls freely for 21 s, then opens her…

A:

Q: 4 S ez -dz, where C in the two Circuit as follows? Z²1 @C/Z+1=1, DC² |z_i/= 1

A: Given information Integral:  ∫C ezz2+1 dz Here, C is the circle. Part (a): C : z+i =1,  Part (b): C…

Q: Which of the following functions are solutions of the differential equation y" – 5y' – 6y = 0? A.…

A: Answer given below.

Q: A matrix U = (Ujj) is upper triangular if uij = 0 when i >j, that is, when all the entries below the…

A: Given that the matrices A=381090002 , B=10-4-106-2005

Q: Graph the feasible region for the system of inequalities. Tell whether the region is bounded or…

A: Given the system of inequalities                     3x+y&lt;9,3x-y&lt;9.