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

Q: Use synthetic division to find the quotient and the remainder. (x5 + x³ -x)+(x-2) Q(x) = R(x) =

A: Here we have to use synthethic devision.

Q: Consider curve C which is the intersection of the surfaces shown in the attached figure. z = y²+3 2=…

A: Concept: In ∫C4x-y2+6zds ds=dxdt2+dydt2+dzdt2dt The reduction formula for secant function: ∫…

Q: Evaluate the definite integral 2 Lice (t² + 7) dt? O 28 O 70 O 10 O 24 O All of the above CD Co

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Q: Find the area enclosed by the curves y= ex = and y = x2 -1, between x = 1 and x = - 1

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Q: - Find the inverse of the following matrix by using Gauss-Jordan eliminations 0 21 -1 2 3 12₂₁ +1 2…

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Q: (1+x)n

A: We can solve this as follows:

Q: 3.lim √x + 3x + 6 x-2 -2.1 X f(x) -2.01 -2.001 -2 ? -1.999 -1.99 -1.9

A: Limits

Q: A quantity V with magnitude V≈ 6, 680 was measured to 4 significant figures. Give an estimate of the…

A: Solution

Q: Solve the initial value problem. 1. y"+4y=sin 2x, where y(0)=3 and y'(0)=¾

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Q: If an object is moving along a horizontal line, such that it's velocity, v(t) = cos(3t), what is the…

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Q: Compute AB, where A AT B = = 24 09 4 -3 -1 and B = 76 (1 %). 6 4

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Q: 12 14 16 18 - 3 9 27 81 ume the first term is a₁ 3 2 20 243 --}

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Q: An integral expression for the area of the surface generated by rotating the curve y=√x, 0≤x≤ 1…

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Q: Suppose c is a real number, which of the following limits ALWAYS exist?

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Q: How to solve optimization problem? What circumstances answer would be inadmissible/invalid?

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Q: Find absolute extreme values for (2) g(t) = √t 1+12¹ x € [0,2]

A: Given: Function  gt=t1+t2, 0≤ t≤2To find: Extreme points gt=t1+t2, 0≤ t≤2

Q: d dx [3 sin³ (tan √x² + 3x²)] d [(x² + 1) cotx dx 3 cos x csc x

A: Given

Q: Determine the local maximum and local minimum if exist. b. Find the inflection point if exist.

A: Solve the following

Q: (b) Given that s² + 16 (S-1)(s+3)(s²+4) Evaluate the values of A, B, C and D. A B Cs + D (s-1) (s+3)…

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Q: Solve the differential equation (24xy + 40y²) + (8x² + 40xy)y' = using the integrating factor µ(x,…

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Q: 9. Find the scalar equation of the plane that contains these points: A (1, 13, 2), B(-2, -6, 5) and…

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Q: The base of an aquarium with given volume V is made of slate and the sides are made of glass. If the…

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Q: a. Find an equation of the tangent line at x=a b. Use a graphing utility to graph the curve and…

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Q: Find the volume of parallelopiped formed by the vectors , and

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Q: 2) Suppose the vector p is perpendicular to the vector q where p = 3í + 12j+ck q = -8 i + j + 3 k…

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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: Solve the given differential equation by finding, as in Example 4 in Section 2.4, an appropriate…

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Q: Find all the points of g(x, y) = x³ − 3x + 3xy² where a relative extrema might occur.

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Q: Solve the following initial value problem. 1. y"+4y=sin 2x, where y(0)=3 and y'(0)=¾

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Consider the following demand function: p = D(x) = 110-2.2x

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Q: Which of the following is an antiderivative of f(x)=√x³ + e¯ª? F(x) 3√x 2 e-x 3√x F(x) 2 2√x5 F(x) =…

A: Use integral concept

Q: 1. Which of the following is the reverse operation of [f(x)]? dx A) f f(x) dx B) Jdx C)f cdx D) dx…

A: Topic = Integration 1) A 2) A

Q: Problem 8. Find critical numbers of (1) f(x) = x³ - 3x² +1₁ (2) f(x)=x³/5(4- x).

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Q: 9. ytan x² a. 2xsec³² 10. y=sin x + 5 cos x a. posx–5sinx b. 5 cosx+sinx b. 2x sec 2 x² c. xsec²x²…

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Q: Use the graph of f to find the largest open interval on which f is increasing, and the largest open…

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Q: Se ³ Sin xde Secus ad x X

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Q: A 20-volt electromotive force is applied to an LR-series circuit in which the inductance is 0.1…

A: This question can be solved using the concept of differential equation.

Q: A company can produce a maximum of 25 widgets in a day. If they sell x widgets during the day then…

A: Above question is solved.

Q: Consider the linear system of equations a) For which values of a does the linear system have no…

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Q: Which of the following graphs represents the function () ه کرد 4 f(x) f(x) 2 2x²+2x-12

A: Correct option (c)

Q: A. Find the general solution of the following Initial Value Problem (IVP): y-2y-3y=5 cos (2t) 5²+1 1

A: This is a problem related to differential equation. Based on the general formula and concept we will…

Q: Find an antiderivative F(x) with F'(x) = f(x) = 8+21x² + 10x4 Remember to include a "+ C" if…

A: This question is based on indefinite integral.

Q: Justify your answer whether the following functions are continuous or not at a certain point or…

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Q: Find g(0), g(-4), g(6), and g 19 (27) √16-x² 2 Find g(0). Select the correct choice below and, if…

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Q: Find the solution of the given initial value problem. y’’+4y=0,     y(0)=0, y’(0)=1 topic: complex…

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Q: 2 - 772 + 317 - + ه ها- لا + 772 - 222 . 2x 3

A: Concept: Without upper and bottom constraints, indefinite integrals are defined. It's stated like…

Q: 3. lim(x²+x-6) X-0 X f(x) ?

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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: Given cost and price (demand) functions C(q) = 100q+43,000 and p(q) = -1.9q +880, how many items…

A: Given problem:- Given cost and price (demand) functions C(q) = 100q+43,000 and p(q) = - 1.9q + 880…

Q: A can is dripping out water at a rate of r(t) = 12/17 If the can held 50 cm³ of water at time t = 1,…

A: If rt is the rate of dripping out water from a can then volue of water dripping out after t time is…