5. The motion of the shock absorber is modelled by the function, h(t) = e-0.5t sint. 3 a) Identify the factor that generates the periodic nature of the graph. X b) Identify the damping factor that causes the amplitude to diminish over time. c) What is the impact if the damping factor is set equal to one?

Q: Find the critical number for y = f(x) = x (x + 2)²

A: NOTE: Refresh your page if you can't see any equations. . the given function is take derivative…

Q: Find the volume of the solid that results by revolving the region enclosed by the curves y=4-2r²,…

A:

Q: Find the volume of the solid that results by revolving the region enclosed by the curves y=4-2x²,…

A: Given problem:- Find the volume of the solid that results by revolving the region enclosed by the…

Q: Write an equation for the hyperbola shown in the graph. 747 7-112

A: We know Standard Equation of vertical hyperbola y-k2a2-x-h2b2=1 Here Center h,k  Equation of…

Q: limit, if it exists. 5X +8 x--4x - 7 ree of the numerator is equal to equal to the degree of the…

A:

Q: Find the volume of the solid generated by revolving the shaded region about the given axis. 14)…

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: 3-20 Use the Ratio Test to determine whether the series is convergent or divergent. 16. Σ n= (2n)!…

A: This question can be solved using the concept of ratio test for convergence and divergence.

Q: Example: find the complex Fourier expansion of the periodic function shown below f(x) = cosx…

A: Basic definite integration is done

Q: Find the solution to the boundary value problem: Y dt2 dy dt +18y = 0, y(0) = 1, y(1) = 9

A: Given equation is the linear equation with constant coefficients.  So first assume the solution and…

Q: 18. Find each indefinite integral by using appropriate substitution. cosx − xsinxdx XCOSX fco

A: Topic = Integration

Q: Expand log, 16x log, 16+ log4 x 2+ log4 x Condense In y-2 ln R In y-In R² In R² Use the properties…

A: Note: According to our expert guidelines only first three subparts are to be answered kindly repost…

Q: Use an appropriate test to determine whether the series converges. 2(k!)4 9(4k)! Σ k=1 By the this…

A:

Q: with side length a from each corner and folding up the sides. Find a formula for the volume of the…

A:

Q: Consider the function f(x) = 4-4x² on the interval [-5, 6]. (A) Find the average or mean slope of…

A: The given problem is solved below in detail.

Q: Use Euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the…

A:

Q: дz дz If z = x.f(xy), express x-y in its simplest form.

A:

Q: Problem 4. A point P is often identified in mathematics using the notation P(x, y) to reference a…

A:

Q: xydx - (x^2+3y^2)dy =0 Solve for general solution .(show complete solution)

A: Given, xy dx - (x2+3y2) dy =0

Q: ← Evaluate the following integral. S z+2 z(z²+25) Can partial fraction decomposition be used to…

A: Here we have to find the integral.

Q: If f(x) = 4x² - 2x + 7, find f'(3). Use this to find the linear approximation to f(x) at x = 3. The…

A:

Q: 2. Find the interval of convergence for the series. n=1 (x - 7) n n5n

A:

Q: Find the area of the surface generated by revolving the curve about the indicated axis. 1) y = √4x -…

A:

Q: Consider the function f(x) = 3 on the interval [3, 7]. (A) Find the average or mean slope of the…

A: Solution ) a) mean slope = (f(b) - f(a)) / (b - a ) = (f(7) - f (3)) / ( 7 - 3 ) = { 1/7 - 1/3 ) / 4…

Q: Solve 3 sin(2x) - 4 sin(x) = 0 for all solutions 0 < x < 2π x= Give your answers accurate to at…

A:

Q: 8. Find dy/dx- y = sin (1 + x^2/1-x^2)

A: I have stated the used formulas in the solution

Q: In South Australia (SA), the median hourly earnings for male em- ployees rose from $32.23 in 2019 to…

A:

Q: Find the second-order partial derivatives of the function. Show that the mixed partial derivatives…

A:

Q: Find the volume of the solid generated when the region bounded by the graph of y=- sin x and the…

A: Given problem:- Find the volume of the solid generated when the region bounded by the graph of y = -…

Q: 8 U 1.5 -1.5 e dx

A:

Q: Approximate the area under the curve y = x² from x = 1 to x = 3 using a Right Endpoint approximation…

A:

Q: use the vectors in the figure at the right to graph the following vector. V+W Choose the correct…

A: Given figure:-

Q: Solve the problem. 49) A private shipping company will accept a box for domestic shipment only if…

A:

Q: Using the Runge-Kutta method of order 4, find y for x = 0.1, 0.2, 0.3 given that dy/dx = xy + y²,…

A:

Q: What is the best equation for the following scenario? A mountain climber starts at the bottom of a…

A:

Q: them, it exists. 7x² + x 4x² + 6x² + x Ilm

A:

Q: dimensions

A: Please refer to the image below

Q: Question 3 Find d √x³ - 2x using the generalized power rule and choose the correct value of…

A:

Q: Find the limit of the following sequence or determine that the sequence diverges. 6n {(₁+3) ⁰}…

A: We have to find the limit of the given sequence.

Q: Write an equation for the hyperbola shown in the graph View an example The equation for the…

A:

Q: Focus at (-5,5); directrix the line y=3

A:

Q: 323. [T] The number of cell phones produced when x dollars is spent on labor and y dollars is spent…

A: The number of cell phones produced when x dollars is spent on labor and y dollars is spent on…

Q: B- Let r(t) = (²+2) i + (3t) j .Find (t) such that r(t) parallel to r'(t).

A:

Q: The derivative of the function f is defined by ƒ'(x) = (x² + 2) sin (2x − 2) . If ƒ (2) = 7, what is…

A: The derivative of the function f is defined by f'x=x2+2sin2x-2 and f2=7

Q: 3 volume? A cylinder is inscribed in a right circular cone of height 3 and radius (at the base)…

A:

Q: =ind. SE S 25453

A: Let's find inverse laplace of given function.

Q: approach 2/3). Thus there is a horizontal asymptote at y= Case III. Degree of the numerator is…

A: According to company rules, I need to solve first question when multiple questions are posted.  So…

Q: At noon, ship A is 20 nautical miles due west of ship B. Ship A is sailing west at 16 knots and ship…

A:

Q: For the following, give the number of protons, neutrons, and electrons 37 C11- 17

A: Given data:- C1737l1-

Q: Example: find the complex Fourier expansion of the periodic function shown below f(x): = COSX TT --…

A:

Q: Example: Solve for x 3x-2 4*+1 -(19)** (2²)**¹ = (2-¹)³-2 22x+2=2-3x+2 2x+2=-3x+2 x=0 Solve for x:…

A: According to bartleby guidelines when student post multiple subpart question then expert must have…