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Q: a) Using the methods of (a) Gauss elimination and (b) Gauss-Jordan, solve the following system of…

A: Since you have asked multiple questions,as per our guidelines we are supposed to answer only one…

Q: dx √(1-x²) 7. The value of f A. CONNE Oc O J. N is B. sin '(x) + c 4 C.rosx + le D. cosx A 8. Jcos'…

A: I am attaching image so that you understand each and every step.

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. - 1)k+19 k!…

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Q: Find the derivative of f(x) = 2x3 + 12x² +18x + 9. f'(x) =

A: To Find : Derivative of f(x)=2x3+12x2+18x+9     Note that : Derivative of xn is nxn-1

Q: 14. Find the general solution of the given differential equation. 9y''+9y'-4y=0 topic: complex…

A: Given 9y''+9y'-4y=0To find general solution of D.E.

Q: 10. Show that these two lines are coincident. [x, y, z]= [1, 5, -2]+s[1, 7, -3] [x, y, z]=[-3, -23,…

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Q: Derive the Maclaurin and Taylor Series of the function below:

A: In this question, we want to calculate the Taylor and maclaurin series expansion of the function…

Q: x²-16 8. lim x-4x²+9x+20

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Q: 3) Find equations for the lines: The line through the point D/2 g. The line through (0,-7,0)…

A: Equation of line in 3D

Q: Use Simpson's Rule with n = 10 to estimate the arc length of the curve. (Round your answer to six…

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Q: 2. Compute [²√x by first changing it to polar coordinates. 1 -√3x (x² + y²) ² dy dx

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Q: What is the largest circular area that can be enclosed by 100 ft of fencing. (Non-anonymous question…

A: This question is related to Circle, we will solve it using given information.

Q: Consider the following system of linear equations: -11x + 3y +-31z 118 -4x + 1y+-11z = 42

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Q: Find the limit. Enter the exact answer. If the limit does not exist, indicate that using the check…

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Q: 6. 1 2 0 *(:) * (****)- 34 G 9 11 B. None of them A. C -11 D. 18 201

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Q: g. lim 6t²+t-5 t-∞ 9-2t²

A: lim          (6t2 + t -5)/(9-2t2 ) t -->-∞ here question is of limit  and here we have to divide…

Q: Using synthetic division, determine whether the numbers are zeros of the polynomial function. -1, 2;…

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Q: A particle moves back and forth along a straight line. Its position (in meters), relative to the…

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Q: The graphs of the functions f(x) and g(x) are shown below. y 11 10 9 8 7 6 85 14 (a) Find (f. g)(2).…

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Q: A thermometer is taken from an inside room to the outside, where the air temperature is 20° F. After…

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Q: 2. Use polar coordinates to evaluate 2 1. √4+7++5² dy dz. Jo

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Q: Suppose 10 workers produce 500 units of commodity X and 20 workers produce 800 units of commodity X,…

A: The formulae of marginal product is        MP=change in firm's use of inputchnage in quantity of…

Q: The Great Molasses Flood At 1:00PM on January 15,1919, an unusually warm day, a 90-ft high, 90-ft…

A: We have to solve for force exerted by the molasses.

Q: S(4x - 3) d

A: Follow the procedure given below.

Q: A tank contains 420 liters of fluid in which 50 grams of salt is dissolved. Brine containing 1 gram…

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Q: Determine whether the series converges, and if so find its sum. Enter the exact`answer as an…

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Q: Activity 3: Let's Evaluate! Direction: Read each item carefully then, choose the letter of the best…

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Q: 4) Find equations for the planes: b. The plane through (1.–1,3) parallel to the plane 3x+y+z=7

A: Given problem:- Find equations for the planes:   b. The plane through (1.-1,3) parallel to the plane…

Q: Verify that Rolle's Theorem can be applied to the function f(x) = x³ - 8x² +17x - 10 on the interval…

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Q: Determine (without solving the problem) an interval in which the solution of the given initial value…

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Q: 5- x(in y-In x)dy = y(1 + In y-In x)dx

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 1. Determine the area below f(x) = 8x - 2x² and above the x-axis. 2. Determine the area to the right…

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Q: 7. Given: [x,y,z]= [1,-1,5]++[3,4,7], determine the symmetric equations for the line If (13,15,23)…

A: Explained below

Q: In(1+x)

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Q: e. The line through (1,1,1) parallel to the z-axis. f. The line through (2,4,5) perpendicular to the…

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Q: 2-x x+²√√x+2-√√3x-2 c) lim-

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Q: opulation P has doubled in 7 years, how long will it take to triple? (Round your answer to one…

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Q: x²-3x - 10 f(x) = x+6 [-2,5] Yes, Rolle's Theorem can be applied. No, because f is not continuous on…

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Q: B3. Find the integrating factor by inspection then solve.  ydx + (x + x4y2)dy = 0

A: Let's solve given diffrential equation.

Q: 2. Use polar coordinates to evaluate √9-1² 2 L √4+x² + y² dy dx.

A: This is a problem related to integral of polar curves. Based on the substitution in cartesian…

Q: Examine the following surface for maximum, minimum, and saddle points 2 = x² + y² + xy + 4x - 4y +3…

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Q: (c) Find the Inverse Laplace transform of the function. 1 s² + s-5 H (s) = (s−2)² +3 s (s² + 2s + 5)…

A: Given H(s)=1(s-2)2+3+s2+s-5s(s2+2s+5)To find Inverse Laplace Transform.

Q: The result of A(B x C)+ A × (B.C) may be: 10 2i+3j O 2i+2j-k

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Q: d. The plane through P,(2,4,5) perpendicular to the line x=5+t y=1+3t , z=4t

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Q: 500 e4 ·∞0 1+e²4 1+ezy dy -00

A: To evaluate the following integral.∫-∞∞ eψ1+e2ψ dψ

Q: A tank initially contains 200 liters of fresh water. Brine containing 2.5 N/liter of dissolved salt…

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Q: If integration using u-substitution technique is used to solve for O u = e4x Ou=1-e¹ O U= u = €²x…

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Q: The plane x + y + 2z = 12 intersects the paraboloid z = x² + y2 in an ellipse. Find the points on…

A: Suppose the point nearest to origin with the condition that it is not the ellipse that is obtained…

Q: Consider the improper integral and the propositions dx J = = 6of foo x² + 3 1- The integral J…

A: Find out the correct statement.

Q: Evaluate exactly lim(1 + sinx)2cot: x→0

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