Find the Laplace transform of F(s) = 3TT f(t) = u(t – ³ 2 sin t

Q: Let f(x) = 5x² cos(2x). f'(x) = -10x²(2x) + 10x cos(2x) f'(5) = 0 f"(x) = -10x² sin (2x) + 10x…

A:

Q: Maclaurin expansion of order 3 of the function f(x)= sinh(log (1-x)) is A) -x + 1 x ² - 1 x ³ + 0…

A: The given function is; f(x)=sinh(log(1-x)).

Q: Solve differential equation: xy’’=y’

A: Given:   xy'' = y'

Q: For the function, find the points on the graph at which the tangent line is horizontal. 2 y=x² +1 HE…

A: For the following function, to find the points on the graph at which the tangent line is horizontal.

Q: Find the distance traveled in 50 seconds by an object traveling at a velocity of v(t)= 20 +9cos(t)…

A:

Q: do #11

A:

Q: CSC 6. lim ecScx x0+

A:

Q: Consider the discrete-time dynamical system bt+1 = 2.0bt for a bacterial population. Supposing each…

A:

Q: Question 3 The point (xo, yo) = (1, 0) lies on the curve X- xe² - y² = 2x³ - e™ Show that (x1, y₁) =…

A:

Q: The altitude of a right triangle is 10 cm. Let h be the length of the hypotenuse and let p be the…

A:

Q: Find the formula for the nth term in the sequence: −3/2 , −1/6, 1/12, 3/20, 5/30, . . . Integers…

A:

Q: S. dx 2 √x²+4x+13

A:

Q: A Cepheid variable star is a star whose brightness alternately increases and decreases. Suppose that…

A: The function for the brightness of Cephei Joe at time t is given as

Q: Use analytic methods to evaluate the following limit. Enter DNE if the limit fails to exist, except…

A:

Q: Find the horizontal asymptote, if any, of the graph of the rational function. 2x² + 4 4x² 5 f(x) =

A: f(x)=2x2+44x2−5

Q: √e ²0 s 20 sin 30 de

A:

Q: Find the volume of the solid obtained by rotating the region above the x-axis bounded by y = x and y…

A:

Q: Sketch the graph of f. sin x, f(x) = 6 6 cos x, cos X, -7 2 π 2 x π y 10 5 y 10 5 20 2 20 2 T Зл 2…

A:

Q: Find the inverse Laplace transform f(t) = £¯¹{F(s)} of F(s) = 4s +8 s² + 17 s> 0

A: F(s)=4s+8s2+17s>0

Q: Determine the intervals on which n is continuous. Enter the solution using interval notation. n(c) =…

A: n(x)=4x(x2−225)2

Q: Consider the following. x + 7 x²-x-56 Find the x-value (if any) at which f is not continuous. Is the…

A: The given function is

Q: 2 V3-5 (1) √√√3 dx.

A:

Q: Find the average cost per item (the average rate of change) when increasing production from 200…

A: Solution-In the given graph we know when production is 200 units cost is 11000,and when production…

Q: First find all constant solutions, then solve explicitly: dz da - 2²0³ 0² - 72² d0

A:

Q: Use analytic methods to evaluate the following limit. Enter DNE if the limit fails to exist, except…

A:

Q: dx x(2x+1)

A: The given integral

Q: Find the constants A, B, and C such that the following piecewise function is continuous on the…

A: To find the constants A, B, and C such that the following piecewise function is continuous on the…

Q: If f and g are integrable, then [ f(x)g(x) dx = [[ f(x) dx] [ [ 9(2) dz]

A:

Q: Determine the following limits. Enter DNE if a limit fails to exist, except in case of an infinite…

A:

Q: y= 3x-2 2x+3 y"=0

A:

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

A:

Q: Given s(t)=5t+20, where s(t) is in miles and t is in hours, find each of the following. a) v(t) b)…

A:

Q: Use the Laplace transform to solve the following initial value problem: y" + 3y 18y=0 y(0) = -1, y…

A: The given initial value problem,.The aim is to find the solution to the initial value problem.

Q: Q7: Air is being pumped into a spherical balloon so that its volume increases at a rate of 100…

A:

Q: On a trip of d miles to another city, a truck driver's average speed was x miles per hour. On the…

A: The distance between the two cities = d milesThe average speed of the trip = Where  is time taken by…

Q: Find y' 2x-3 y= 3x + 1 y"=0

A:

Q: Find the Vertical Asymptotes and the Horizontal Asymptotes. You cannot use your calculator or any…

A:

Q: 2) Solve the equations for exact solutions. (a) e² - e - 12 = 0 for z

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: The figure to the right shows the distance-time graph for a muscle car accelerating from a…

A:

Q: Find T centered at x = 7 for all n for the function f(x) = x−². (Use symbolic notation and fractions…

A: The given function is The Taylor series at x=a

Q: Compute the first four partial sums S₁, ..., S4 for the series having nth term an, starting with n =…

A: Compute the first four partial sum S1, S2,... S4.  For the series having nth term a,nth term an…

Q: For f(x)=2x²-x-4, find f(x +h)-f(x) h = f(x+h)-f(x) h

A:

Q: When an object is dropped on a certain earth-like planet, the distance it falls in t seconds,…

A: The function is a)At t= 3 second

Q: Use the given graph of the function g to find the following limits: 1. lim g(x) = x-2- 2. lim g(x) =…

A: Note:Since you have posted multiple questions we will solve the one question for you. If you want…

Q: lim X-00 tan¹ (x) =

A:

Q: Consider the curve C parametrized by x = t and y = (36 - t2)1/2 for -6 ≤ t ≤ 6 Write an equation…

A:

Q: 3. Use the definition of convergence to prove lim Ross 9 is allowed. 4. Use the definition of…

A: 3)lim 3n/(n+1)4)lim (n-1) /(n2+1)

Q: 2.(15) The graph af / is given below. Use the graph of / to determine the given limits. Enter ONE if…

A: we can observe as x approach curve approach value -1.

Q: Problem 1: Divide the expression, and write a. x³2x²-x+3 1 final answer as your Dividend Divisor =…

A: solve by long division

Q: do #12

A: