Suppose the cost function of a product is given as C=3q -0.0014³. If the cost is increasing at a rate $0.09 per day, which one of the following is closest to the rate of change of the quantity q when q = 10?

Q: Let f(x) = x² P₁(x) = 1 p2(x) = cos(x) P3(x) = cos (2x) be a sequence of orthoginal functions in the…

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Q: Part II: Problem Solving. Solve the following: 1. Consider the linear system a. b. 7x + 7 x 2 = 1…

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Q: 7. Simplify the following using the algebra of propositions. Show your solutions. a) A = {[Q V…

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

Q: Find the gradient: f(x, y) = 3x³ - 4x²y + y² at (1,-1)

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Q: Q3: Michal has a 100-acre farm and plans to plant at most three for crops A, B and C costs $40, $20,…

A: Let the crop A be planted on x acres crop be planted on y acres and crop C be planted on z acres…

Q: Q.6: Use power series to solve the differential equation; Y y" + xy + y = 0

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Q: √√9-1²-2² ILT xyz dxdydz = z=-3 y=-√9-2² x=0

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Q: 2. a) Form a partial differential equation by eliminating the arbitrary functions f and g from =…

A: A partial differential equation from a function is obtained by finding the partial derivative of the…

Q: The first three nonzero terms of the Taylor series for f(x) = cos x centered at a = π are (x-1)³…

A: Sol:- Taylor series of function fx at a is defined as: fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x-a3+…

Q: 2. Let T : R³ → R³ be the operator given by -1 1 0 0 −1 1 0 0 – 1 - T(v) = = v. Determine whether T…

A: given matrix T=-1100-1100-1 determine whether it is decomposable or indecomposable.

Q: b) Using partial fractions find IZT 42-Z 2z²-3z+1

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Q: General Solutions and Phase Portraits. In each of Problems 1 through 6, find the general solution of…

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Q: B/ solve the following linear programming problem using graphical method Min (z) = 300x₁+200x2 S.T.…

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Q: 1. Find the lateral area of the square pyramid. 2,5cm

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

Q: 9. (a) Show that the functions r(t) = 3et+ 7e-t and y(t) = 3et+21e-t are solutions of the system I'…

A: Given: 9. a) x(t)=3et+7e-t and yt=3et+21e-t and a system, x'=2x-yy'=3x-2y satisfying the initial…

Q: 2. Consider the integral ² si sin redr which can be computed exactly. a) Apply Romberg integration…

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Q: A periodic function f(t) is defined f(t) i) -π, i byn 28 June 21 dinary -2π) Sketch the graph of the…

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Q: QUESTION 8 The data given in the Table below is produced from a model of the form: Y = (aX+b) s. 4 2…

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Q: Consider the function f(x,y) = [x² + y² if x # (0,0) if x = (0,0) 0 Evaluate f(x, y) over the…

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Q: Q.5: Find a power series solution of the differential equation, at y(0.3); where the initial values,…

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Q: Consider the surface x² - y² + z² = −4. A. Identify the name of the surface. B. The line…

A: We know general form of hyperboloid of two sheets is  -x2a2-y2b2+z2c2=1 where positive term is the…

Q: 5. Show that the following code is a group code. (00000) (00101) (10110) (10011)

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Q: Find the elementary matrix E₁ such that E₁A = B where A = 8 9 1 7 -17 −1 18 1 10 and B = 18 7 8 1…

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Q: B/ Put the following program in matrix standard form Min (z) = 10x₁+11x2 S.T. X1+2x₂ ≤ 150 3x₁+4x₁ ≤…

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Q: Technical Question: Which of the following best characterizes the statements, where A and B are any…

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Q: A: Find the solution to the following linear programming problem using the simplex method Max…

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Q: Find the MacLaurin’s series of f(x) = x5 sinx2 (2n+1)! (-1)"}x#n+2 (−1)" A. Σ=o 50 B. En=0" C. En=o…

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Q: A. (x – π) - Β. (πχ) - - (x-π)3 3! + (πχ)3 (πχ)5 3! 5! + (x-π)2 2! C. (x – π) + (πχ)2 D. -1+ E. -1+…

A: We know Taylors series of f(x) about x=a is  f(x)=∑k=0∞f(k)(a)k!(x-a)k

Q: What are quadratic équations, what would be the simplest way to understand them and what can I…

A: The quadratic equation is always of the form ax2+bx+c=0 or ax+b2+c=0 where a, b,c are real constant…

Q: Examine the increasing and decreasing of each of the following sequences, whether they are bounded…

A: (i) The given sequence is an=n+11+3n To find: the given series is increasing or not, bounded or not,…

Q: (a) Find Maclaurin expansions for sin 2x, cos2x and e³* up to and including the term in x³. ${( 3 +…

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Q: Find the eigenvalues of the symmetric matrix. (Enter your answers as a comma-separated list. Enter…

A: We solve by using properties of eigenvalues and eigenvectors.

Q: Q.2: Find the trigonometric Fourier series of the periodic function f(t), and show if it is odd or…

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Q: Suppose the mean percentage in Algebra 2B is 70% and the standard deviation is 8%. What percentage…

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Q: Problem 1. Find both the signed area and the area between each of the curve y = 2²-6x+5 and the…

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Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

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Q: Consider the definition of Fibonacci series: where Fo = 0, F1 = 1, F2 = 1, and the recursive term is…

A: Given: Consider the Fibonacci series F0=0, F1=1, F2=1 and the recursive term is defined as…

Q: Michal has a 100-acre farm and plans to plant at most three crops. The seed for crops A, B and C…

A: Let Michal decided to plant x, y, z acres for crops A, B and C respectively. Given that  ∙Michal has…

Q: 2. Consider the integral [² which can be computed exactly. a) Apply Romberg integration to estimate…

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Q: 2. U = {1, 2, 3, 4, 5, 6, 7}, A = {1, 2, 3}, B = {2, 4, 6} and C = {1, 4, 7} i. Find the value of A'…

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Q: Given the supply and demand functions of good p = x² + 2x + 12 p = -x² - 4x + 68 Calculate the…

A: The supply and demand functions of the product are respectively, p=xS2+2xS+12 and p=-xD2-4xD+68 To…

Q: Q1:A/ The Office Supplies Company offers two types of pens, the first type has high specifications,…

A: Since you have posted a multiple question according to guildlines I will solve first question(Q1.A)…

Q: correct answer asap

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Q: Question 2 a) [ ] Show that the equation 4x - 8y + 12z + 2x² + 2y² + 2z² = -20 represents a sphere,…

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Q: 0 z=-3 y=-√9-2² √9-1²-₂² S x=0 xyz dxdydz =

A: Triple integration is calculated as ∫z∫y∫xf(x,y,z)dx dy dz

Q: Find a general solution to the differential equation. -30 y''(0) + 6y'(0)+10y(0) = 2 e cos e What is…

A: The general solution of the given differential equation: y(x)=C.F.+P.I.(where C.F. is complementary…

Q: Problem 2.5. We want to find a solution approximation U(x) to −u"(x)=1, 0<x< 1, u(0)= u(1) = 0,…

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Q: Find a linear differential equation with constant coefficients satisfied by e² ³x, and e4x

A: A linear differential equation having auxiliary roots m1, m2, m3,....... have following independent…

Q: Which of the following satisfies the statement f(x) is O(g(x)) when x5log(x+1) f(x) = +16x²? -5x3…

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Q: Find r'(t), r(t), and r'(to) for the given value of to. r(t) = (et, e24), to = 0 r'(t) = r(t) =…

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