Graph the feasible region subject to the following constraints: Select the correct answer below: O 18 16 14 12 10 6 4 2 0 18 16 5 10 15 20 25 15x+30y ≥ 300 7x + 5y > 85 z+y≥ 15 z>0 y 20 -15x+30y=300 -7x+5y-85 x+y=15

Q: ∞xk Use the power series f(x) = In (1-x) = -Σ, for -1 <x< 1, to find the power series representation…

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Q: 2. The function f(x) is defined by the table shown below: I-3-2 0 1 )=0 (b) f(0) = Fill in the…

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Q: (sin20 - 2pcos)d0 = 2dp

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Q: Set up and evaluate the integral for the area of the shaded region. y=4-x y=16-x² b = S(fix) =…

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Q: For what value of k will the function f(x) => =X k - X have a relative maximum at x = -1?

A: To determine the value of k for which the function fx=x-kx have a relativemaximum at x=-1.

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Q: Given the acceleration function (in m/s2) for a particle moving along a line, find (A) the velocity…

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 3 F(x) = [³² sin (t³) dt…

A: Find the derivatives

Q: Evaluate the integral (use exact values): -4 22³-5x²+1 dx

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Q: (d) From the right side of a tree Jill measures the angle of elevation to the top of the tree to be…

A: From the right side of a tree Jill measures the angle of elevation to the top of the tree to be 30°.…

Q: (ii). Eliminate the arbitrary constant in the equation y = Ae2x + Bxe ²x Ans. y" - 4y' + 4y = 0

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Q: f(x) = . 1 1+x 10 ich of the following is the power series representation for f(x)? 00 A.Σ (-x10) k…

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Q: The area of the triangle AKMN is A=25√√3 in². If <MKN = 30°, find |KN|=|MN| = ?

A: GivenArea of triangle KMN=253 in2∠MKN=30°   We are required to find the lengths of equal sides KN…

Q: Find the circulation of F = 6xi +9zj + 7yk around the closed path consisting of the following three…

A: Given ,    F= 6xi +9zj+7yk C1:r1(t) = (cost)i +(sint)j +tk ,       0≤t≤π/2 Circulation   =  ∮c F.dr1…

Q: (a) A circle has radius 3ft. Find the area of a sector of the circle with a central angle of 45⁰

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Q: x=t+et, y = 1 – et

A: Given query is to find equation of the tangent.

Q: (g) A helicopter hovers 750 feet above a small island in the ocean. A person sees the helicopter…

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Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

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Q: (e) An airplane is flying at an elevation of 6000 ft, directly above a straight highway. Two…

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Q: Find parametric equations (not unique) for the following circle and give an interval for the…

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Q: The position vector of a particle is (a) Find the length of the curve for 1≤t≤4 (b) Find parametric…

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Q: Question 8 Find 3 - 4 (6x5 + 2x²) dx <

A: Solution ⇒    8)  ∫−43(6x5+2x4)dx    We know  ∫(xn)dx=xn+1n+1    so first we will…

Q: Find the definite integral of f(x) = 3x²2 - 9x over the interval [1,3].

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A: We need to find radius.

Q: A pizza pan is removed at 4:00 PM from an oven whose temperature is fixed at 425°F into a room that…

A: Let's find temperature by using Newtons law of cooling.

Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent. 4n²+3…

A: Let's find  given series is convergent or divergent.

Q: Evaluate the integral. f5sinxcos(cosx)dx -5cos(sinx) + C sin(cosx) 5 5sin(cosx) + C −5sin(cosx) + C…

A: Topic - indefinite integral We are given∫5sinxcos(cos(x))dxwe know thatddxcosx=-sin xand…

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Q: 50. Jo Jo X Cosy uyux II. Solve the following problems. 1. Write the equation of the curve for which…

A: To find the equation of the curve with the given characteristics

Q: A right conical tank with the point oriented down, a height of 17 feet, and a radius of 5 feet has…

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Q: A poster is to have an area of 150 in2 with 1-inch margins at the bottom and sides and a 2-inch…

A: Given Area ( A ) = 150 in2let height = l width = b so lb = 150 b = 150l

Q: The expression A CSC X sin²x + cos²x sin x is equivalent to C sinxcot x

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Q: (xi + 4y + 2zk) 2) Find div (xi

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Q: Olympus Mons is believed to be the tallest mountain in the solar system at 22 km (22000 m) high. If…

A: Given query is to find the velocity when it hits the ground m

Q: For each surface F(u, v), identify the shape of the grid curves when u is constant Some shapes may…

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Q: The function y = (x² + ax + b)² is parallel to the line y = − 3x + 7 at (1,0). Find a + b. 3 0 -3 O…

A: Given equation y = ( x2 + ax + b )2 y = -3x + 7  at point ( 1 , 0 )

Q: We are interested in the first few Taylor Polynomials for the function f(x) = 4e + 3e X - centered…

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Q: An object moves along the x-axis so its x-coordinate obeys the equation x=at² + bt+c, where a = 15,…

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Q: If what does the following integral equal? - 26 - 96 [7f(x) + 3g(x) — h(x)]dx = = I 26 f(x) dx = 8…

A: use the algebraic property of integrals.

Q: Please rewrite so I understand Please!! what is the solution?

A: Given,           ∫-45fxdx=9 and ∫-45gxdx=-1To find : ∫-45-3fx-2gxdx

Q: December 10, 2022 at 1:56 PM Starting at age 30, you deposit $2000 a year into an IRA account for…

A: NOTE: Refresh your page if you can't see any equations. . here we have PMT=2000 r=5%=0.05 t=35 years

Q: Kiet Ma sells refrigerators.  He carries 3 models.  Price and monthly sales for each model are…

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Q: If the two equal sides of an isosceles triangle have length a, fine length of the third side that…

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Q: Evaluate cos(√) dx by first making a substitution, then using integration by parts. Show all of your…

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Q: Evaluate the integral: (3) ) dx

A: Please see the below picture for detailed solution.

Q: -7 13 Let A = 0 6 Find a matrix S, a diagonal matrix D and S-1 such that A = SDS-¹.

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Q: 8 19 f(x) dx where a = 18 b - L, "Harde - [10 f(x)dx = 8 a and b = f(x) dx

A: Let's find value of a and b.

Q: 7. The solution of the recurrence relation an-3an-1 +2an-z = 0; a₁ = 5, a₂ = 3 is: C. an=2"-3" A. a₁…

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Q: r = - = 8 sin³ (3) or () on 0 ≤ 0 ≤ 1 < 4

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Q: Which of the following parametric equations describe the same line? (a) x=2+t, y=8-3t; -∞<t<∞…

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