Find the Laplace transform of the following: (b)sin 2t + Ans: (b) 2 3 cos 3t 2 2 13+4+3² +9 2

Q: 8. Sketch a possible graph of a function g, together with vertical asymptotes, satisfying all the…

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Q: For what values of a and b is the following function continuous at every x? 1 x≤-1 f(x) = ax-b -…

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Q: Name: opez Show work/reasoning. 1. Solve the initial valued problem: y'=e' with y(0) = 0. Give your…

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Q: Consider the following functions. f(x) = ²/₁ g(x) = 3x + 12 Find (fog)(x).

A: Given: f(x)=3x       gx=3x+12

Q: direction:  find the derviative  (10)  y=in(x^2 +4)-1/2  arctan x/2

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Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

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Q: 89. y √3+ Vy 1- √5 3 √r + √2 5 95. Vx² + 1 - x 91. 91-96 Rationalize Numerator Rationalize the…

A: 94) [sqrt(x)-sqrt(x+h)]/[h sqrt(x) sqrt(x+h)].   95) sqrt(x2+1) -x 96) sqrt(x+1) - sqrt(x).

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A: Given function, y=x2-1x

Q: 8. Consider the following sign diagrams relating to the graph of y = f(x) Sign diagram of f(x): +…

A: Given 1.   2.

Q: Which of the following is/are functions? Select ALL the CORRECT answers. O Input (x) 2 Output (y) 12…

A: To be found - Functions from given options

Q: 1. Use deductive reasoning to show that the following procedure produces a number that is three…

A: Produce a number that is three times the original number

Q: Find an integrating factor for the D.E. (2xy³ – 2x ³y ³ − 4xy² + 2x) dx + ( 3x²y² + 4y) dy = 0

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Q: The weekly demand for Xbox Math-Hero video games is given by p= x³ 180x + 1250 where x is the number…

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Q: C(x) = 6x³ 30x² + 80x + 1600 where x denotes the number of thousands of televisions produced in a…

A: Given query is to find average cost and marginal average cost.

Q: On a routine inspection of the water system of Cincinnati, Fernanda discovers a pipe leaking at the…

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Q: (cos x-cosy-cotx) dx-sinx.

A: Topic:- differential equations

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Q: b) lim 818 c) lim 818 2x³-3x+1 3x4+7x³-2x-1 sin (x+3) X

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Q: What is the derivative of f(x)= xe ?

A: To find the derivative.

Q: Given that f(x) = xºh(x) h(-1) = 4 h'(-1)=7 Calculate f'(-1). | Hint: Use the product rule and the…

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Q: Below are the graphs of 6 functions A-F. There are also graphs of 5 derivative functions 1-5. Match…

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Q: Find the value of (fog)' at the given value of x. f(u) = 2u u²+2 u = g(x) = 4x² + 3x +2, x = 0 1…

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Q: 3 If f(x) = 2x√x + ²√ find f'(x).

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Q: ам Given the D.E. (3x²+2y²) dx + (4xy + 6y²) dy, its av and ƏN dr are both equal to while the…

A: see below the answer and calculation

Q: F(x) = x³ - 2x² b) manipulate the function algebraically and differentiate without 2x2 alsolve with…

A: Given function:- fx=x3-2x22x2

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

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Q: Evaluate the definite integral. e 3 S²₁ dt = dt = 2

A: Evaluate the definite integral  ∫2e3tdt

Q: Use the Law of Cosines to determine the indicated side x. (Assume a-b-40. Round your answer to one…

A: Given query is to find the value of x.

Q: Evaluate f cos³ x(sin x) dx O (sin x) [-sin² x] + C O (sin x)[-sin x] + C O(sin x)2/5 + sin x + C…

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Q: The graphs of y = f(x) (solid) and y = g(x) (dashed) are shown. The two graphs intersect at (15,…

A: Ques 1 ∫015gx-fxdx This integration result in area of REGION 1. Hence answer is 11.

Q: 1. Find the derivative of each function. Use proper notation, and simplify your answ This includes…

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Q: Use vector notation to describe the points that lie in the given configuration. (Let t be an element…

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Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

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Q: 618 x 99 6182

A: using simple multiplication

Q: Given the demand equation p + (x/5) = 40, where p represents the price in dollars and x the number…

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Q: omplete the computation. 5, 7, 9) − (7i + 7j) = = |,

A: Given query is to subtract the vectors.

Q: Find the normal and osculating planes of the given function at the point r (t) = (4t 1, t² +t,…

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Q: Find a. b. C. d. e. f. g. lim x-3 lim x0 lim x → 0+ lim x10 lim x2 f(x) h. f(2) f (x) f (x) f (x)…

A: We need to evaluate the following limit for the given graph of the function a. limx→-3fxb.…

Q: Evaluate the definite integral. Give the EXACT ANSWER. (no decimal approximations) 4 (2x²-4) dx =

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Q: F(x)= x³-2x² 3 2x Manipulate the function algebraically and differentiate without using the quotient…

A: Topic = Derivative

Q: ose that the price per unit in dollars of a cell phone production is modeled by 0 – 0.012, where x…

A: We will find the required.

Q: Make an ORIGINAL EXAMPLE OF "Elimination of Arbitrary Constants (Differential Equations)" A) GIVEN…

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Q: Find an equation for the given polar graph. NOTE: Numeric label on this graph represents distance…

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Q: A tank initially holds 200 gal of brine solution containing 3 lb of salt. At t=0, another brine…

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Q: 3.) dr de + rcot (0) = r¹ sin(0)

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Q: The hyperbolic tangent and secant are defined as sinh tanha cosh a 1 cosh a sech a Find the…

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Q: 21-44. Determining limits analytically Determine the following limits. 26. (x-4) x-2+ x(x + 2) (x-4)…

A: 26. The given limits are, a) limx→-2-x-4xx+2 b) limx→-2+x-4xx+2 c) limx→-2x-4xx+2 Note:    Since…

Q: 2x-1 1. At what point/s will the tangent/s to the curve y=- 2x+1 be parallel to the line y-4x+3=0?

A: line  y - 4x +3 = 0   find slope

Q: Evaluate the indefinite integral S -10x² X dx

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Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

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