Find the Laplace Transform of the piecewise function. (2 ,0

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A: Just put the given  values of limit and evaluate. Actually as per the barteleby guidelines I am supp...

Q: Find the most general antiderivative of f(t) = 1 cos(t) – 5 sin(t). Note: Any arbitrary constants us...

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Q: 3 5.) y = ; x+5

A: Given:- y = 3/(x+5) y = 3(x+5)-1 Using Formula : [f(x)g(x)]' = f(x)g(x)' + g(x)f(x)' Now, y' = 3[-1(...

Q: Use the constant multiple rule to rewrite the terms. d10x-1/3) (6cos x) xp COS X

A: Constant multiplication rule: if a is constant then ddxa·f=a·dfdx

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A: Given : integral of x(x² + 2)² dx

Q: .Q1\1-The domain and range of y= 1/x are the same True O False O

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

Q: Let f(x) = x^2 −x −2. Using the Intermediate Value Theorem, explain why this function has (at least)...

A: The function is  f(x)=x2-x-2

Q: Find the average rate of change of g(x) 6x + 2 on the interval [-2, 3]. Question Help: D Video

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Q: Find tue folloesing indefinie integral. 18 4 ). 3 3 doc

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Q: If f(x) = 4, find f'(- 11).

A: The given function is:fx=4To find f'-11

Q: Q2\3-Functions f and g are defined by f(x) = 1/x + 3x and %3D * .g(x) = -1/x + 6x - 4 find (f + g)(x...

A: According to our guidelines, only one question can be answered at a time, So I am answering only the...

Q: Two vehicles start out traveling side by side along a straight road. Their position functions, shown...

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Q: Tasks: 1. Think of more examples of inverse trigonometric expressions. 2. Evaluate cach inverse trig...

A: To consider the inverse trigonometric expression and evaluate it: 

Q: 3tan a sec2 x dx tan x 2

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Q: In Exercises 51-56, find the limit of f as (x, y) (0,0) or show that the limit does not exist. x-xy?...

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Q: Let D be the region bounded by the paraboloids z = (8 - x^2 - y^2) and z = (x^2 + y^2). Write six di...

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Q: Given the vectors v and u, answer a. through d. below. v = 11i - 8k u = i+j+k

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Q: use the limit defiriitioN ofthe derivative to find the slope of the tang ent line to it the curve fo...

A: The given function is fx=2x2The point is x=2

Q: Evaluate f (2x + 1) dx by two methods: (a) Expand (2.x +.1)' by the binomial theorem; (b) let u = 2x...

A: Given that ∫2x+13dxa. using binomial expantion2x+13=c302x3+c312x21+c322x112+c3313=8x3+34x2+32x+1=8x3...

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,...

A: Topic = Integration

Q: Find the angle e between the vectors in radians and in degrees. u = 6i + 3j + k v = 3i – 6j

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Q: Solve the following DE: (2xy + 3x²) dæ + (2xy+ 4y) dy = 0 O a²y? + x³ + 2x?y? + 4y3 - 2xy = C O a'y?...

A: Solving the given differential equation

Q: Transformations 1. Use transformations to graph the function defined by n(x) -- 2)² + 3 %3D a). What...

A: Given query is to find the parent function and identify transformation applied.

Q: x2 + 24 The partial fraction decomposition of can (х — 3) (22 + 4) f(x) be written in the form of x2...

A: Solving the problem by doing the fraction decomposition.

Q: 81. Cooling liquid. A cup of hot coffee is placed on a coun- ter and allowed to cool. The temperatur...

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Q: dx (z+2)v²+4x Evaluate z+2| O 2 sec-1 + C |z+2| O None of the choices. Please refer to my solution. ...

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Q: f ind f+g, f-g, fg and -. Determine the domain for each function 6x + 7 5x + 4 f(x) = 2 x -9 g(x) = ...

A: Note: - Since you have posted a question with multiple sub-parts, we will solve first three sub-part...

Q: [y = u?-1] 3 Vx2 + 2 u2+1.

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Q: Find the exact length of the curve. + 4х 1 < x < 3 y

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Q: Let S be the solid obtained by rotating the region shown in the figure below about the y-axis. y y =...

A: Given:    f(x) = 7x(x-2)2

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Q: etermine whether the given lines are parallel, skew or intersect. If they intersect, find the point ...

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Q: tan 0 4. Given sin 0 %3D 4 and > 0, find other trigonometric functions?

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Q: 15) Consider the following equations of quadric surfaces: a) x = + - 4 b) x? - y? + z? = 4 i) Identi...

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Q: Graph the function. s)--2/x-4 Plot four points on the graph of the function: the leftmost point and ...

A: See the graph given below and x can't be less than 4 because for x&lt;4, square root of X-4 become n...

Q: Evaluate using Trigonometric Substitution: dx I+v o 음V1-VE(V-2) + C o 을V1+vE(VE-2) + C O None of the...

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Q: If u, and u2 are orthogonal unit vectors, and v = au, + bu2, find v•uq. = 'n.a v•u,

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Q: Find f(g(x)) and g(f(x)) and determine whether the pair of functions f and g are inverses of each ot...

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Q: 2. If P(0) is a point on the unit circle and 0 (0)? , what is the coordinate of P

A: Given query is to find the coordinates of p.

Q: onsider the objective shown in Figure below. Calculate a- The length from point (3,3,0), (3,6,0), (0...

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Q: lim a. b. lim t-2 V2 + t – 2 t – 2 sin 7r с. lim 50 sin 3r 8 d. lim 16 16. V9r² + 4 lim 2.r + 1 е.

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Q: TAT So use the 1. Show csC x =- CSC X Cot x. (Hint: csC X = quotient rule.)

A: topic - derivative of a trigonometric function note: as per bartleby guidelines, we are supposed to ...

Q: csc (In æ) cot(ln æ) csc³ dæ) æ[1+csc®(ln æ)]³ 5

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Q: Solve [y (In x – In y) + x] dx +a (In y – In a) dy = 0 xlny + yln x = Cx None of the choices ylnx + ...

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Q: Evaluate the limit, if it exists. If a limit does not exist, type "DNE". V4 + h - 2 lim h>0

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Q: Find the most general antiderivative of the function f(x) = 2(5 – 2)?. Answer: F(x) =| %3D

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Q: 2.7 2.8 2.9 3. 3.1 h(q) 2435 2975 3633 4438 5420 Estimate h' (2.9) using the table above.

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Q: 2) cos 135° 4) tan 930° 6) cot 810° 8) sec -240°

A: To find:- values of given trigonometry functions  2. cos(135°) 4. tan(930°) 6. cot(810°) 8. sec(-240...