Q: Find the Laplace Transform of the following functions 2a s 4) f(t)=t sinh(at) Ans. F(s)= (s² –a²}
A: We can use the concept of Laplace transform using the concept of differentiation.
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A: We have to find general solution of given first order differential equation.
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Q: Find the areas enclosed by the following curves: (b) y = x4 – 4x2 +4 and y = x2 y = x2 y = x* – 4x? ...
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Q: Find the areas enclosed by the following curves: x = y2 – 1 and x = lyl/1- y2 x = y? – 1 1.0 0.5- x ...
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Q: x- 3x +6 Consider the function f that is defined over R -{2} as: ƒ (x )= x - 2 Designate by (C) its ...
A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for...
Q: Consider the function f that is defined over R - {-1} as: ƒ (x )=- x²-2x +1° Designate by (C) its re...
A: 1) limx→1x2x2-2x+1=limx→1x2(x-1)2=∞ Therefore, x=1 is the verticle asymptotes. 2) limx→-∞x2x2-2x+1=...
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Q: use a calculator to solve each equation on the interval 0<=0<= 2pi. Round answers to two decim...
A: Given that, 3sinθ-2=0 ........ 1.1 We have to find θ
Q: Find the areas enclosed by the following curves: x = y2 – 1 and x = ]yl/1- y2 %3D
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Q: Q1- Find any local maximum and local minimum values and sketch the curve: x2 + 1 f(x) %3D 2 -1
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Q: A particle moves along a straight line so that after t (seconds), its distance from Oa fixed point o...
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Q: Find the spherical angles (θ , φ) for Helsinki, Finland (60.1◦ N,25.0◦ E), and São Paulo, Brazil (23...
A: Given: Helsinki, Finland (60.1° N, 25.0° E) São Paulo, Brazil (23.52° S, 46.52° W) To find: their ...
Q: S- (x²a*)% 2 군
A: solution:- let x = a sec theta.
Q: The height of a ball thrown across a field, f(x), in feet, can be modeled by f(x) = -0.005x² + x + 5...
A: Maxima or minima: Let f(x) is any function. 1) Evaluate f'(x) = 0 for critical point. 2) Evaluate f'...
Q: dy Find dx if y = V5 – x2 by using definition formula of derivative (l ié ina plaäiul).
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Q: find a parametrization of the surface Parabolic cylinder between planes The surface cut from thepara...
A: To find a parametrization of the surface: Given that, Between the planes z=0 & z=3 Thus, 0≤z≤3 G...
Q: Find all the points of discontinuity and classify them for the functions: x² + x (i) f(x) = x3 + x² ...
A: Hey, Thanks for the question , "Since you have posted multiple questions as per our guidelines we wi...
Q: Solve using maxima/minima and timerates
A: First derivative with respect to time gives us the rate at which the sand is leaking.
Q: A hose has a radius of approximately 0.5 in. and a length of approximately 20 ft. By what factor doe...
A: Let r and l be the radius of base and length. Given that, r = 0.5 in. l = 20 ft. Since 12 ft = 12 ...
Q: Find the areas enclosed by the following curves: x + y? = 3 and 4x + y² = 0 %3D 2- 4x + y? = 0 x + y...
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Q: A) Find Eigen values and Eigen vector of the matrix. A = ; 4 [3 14 -3
A: Explanation of the solution is given below...
Q: Suppose that 6 J of work is needed to stretch a spring from its natural length of 24 cm to a length ...
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Q: Q2. A particle moves along a straight line so that after t (seconds), its distance from O a fixed po...
A: Particle position w.r.t time.
Q: A first class radio-telephone operator wishes to cut the wire 100 meters longinto two pieces. One of...
A: Given: A first-class radio-telephone operator wishes to cut the wire 100 meters longinto two pieces....
Q: Use the exponential decay model, A = Agett, to solve Exercises 28-31. Round answers to one decimal p...
A: As there are multiple questions, 28 is solved here.
Q: Find the domain and graph the following functions f(x) = 1 - 2x - x² f(x) = 5 – 2x g(x) = V-x G(1) =...
A: See the attachment
Q: Find the areas enclosed by the following curves: x = y2 – 1 and x = \yl/I- y² X =
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Q: Graph the following equations and explain why they are not graphs of functions of x. a. ly| = x b. y...
A: As per bartleby guidelines only one question is answered please upload the rest separately. The grap...
Q: Q9:- If x f(u, v) and y g(u, v), where u = (r, s) and v = (r, s). Prove that a(x.y) a(r,s) a(x.y) a(...
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Q: Find the areas enclosed by the following curves: (b) y = x4 – 4x2 +4 and y = x² y = x2 4. 3 y = x* –...
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Q: find the domain and range of each compositefunction. Then graph the composition of the two functions...
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Q: Write sin1tan-1 u2 as an algebraic expression containing u.
A: To write sintan-1u as an algebraic expression containing u. Solution: Let x=tan-1u ⇒tanx=u We know t...
Q: Use a calculator to approximate each expression in radians rounded to two decimal places.
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Q: Find the equation of straight lines through (x0,x0) and(I) parallel (ii) perpendicular to the straig...
A: 1) Equation of line y = mx + c where m is slope of line and c is constant. 2) Equation of l...
Q: Q3) if the continuous function is : 4x+1 F(x) -+k at x= h. Find the value of h,k.
A: 3). Given function is: fx=4x+1x<hx3+kx=hx2+1x>h Solution: A function fx is continuous at x=h...
Q: Find the limits.
A: limx→7 3xx+2
Q: Find the areas enclosed by the following curves: x = y2 – 1 and x = lyl/1- y2 X = x = y² – 1 1.0 0. ...
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Q: use the Chain Rule to find the derivative. y = cos3(e4θ )
A: Given: The function given is y=cos3(e4θ) To determine: The derivative of the function y=cos3(e4θ)...
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A: We have to find the height of the given frustum of a cone.
Q: Sand is leaking from a bag in such a way that after t seconds, there areS(t) = 50 (1 −t215)3 pounds ...
A: Put t=0 for amount of sand originally than take derivative at t=1 to get rate of leaking of sand.
Q: A cable that weighs 4 Ib/ft is used to lift 500 Ib of coal up a mine shaft 500 ft deep. Find the wor...
A: We have to show the required work by Reimann sum and integration.
Q: The table below gives the percentage, P P , of households with a VCR, as a function of year. Year 19...
A: The table below gives the percentage, P P , of households with a VCR, as a function of year. Year 19...
Q: find the amplitude, period, and phase shift of each function. Graph each function. Show at least two...
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Q: Find two positive real numbers such that they add to 40 and their product is as large as possible.
A: Let the two numbers be x and y,Sum of two numbers is given as 40.x+y = 40y = 40-x ......
Q: 3) 2dx 2dx (3x+12x-15)호 x(3(\nx)"+1지lnz-15)호
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Q: 41. A basketball player scored 26 points in one game. In basketball, some baskets are worth 3 points...
A: A basketball player scored 26 points in one game.
Q: Given y= f(u) and u= g(x), find dy =f'(g(x))g'(x) for the following functions. y= cos u, u = 3x+1 dy...
A: If y=f(u) and u=g(x) ,Then dydx= f'(g(x))g'(x) means dydx=dydu×dudx = d(f(g(x))d(g(x))×d(g(x...
Q: A rectangular solid that has a square base has a surface area of 150 square inches. Find the maximum...
A: Given that rectangular box has a square that means length and breadth are equal.Let,Length of the bo...
Q: find the change in volume dVif a circular cylinder with r=2 changes height from 3 cm to 3.05cm. Choo...
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solve each equation. Give a general formula for all the solutions. List six solutions.
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