Question Which of the following is the Laplace transformation O L {f(t)} if f(t) = (cos(-3t))² ? s² S4+18s² +81 18 S³ + 36s s²+18 S³ +36s 9 S4+18s²+81 None of them Give your reasons

Q: Use the information to determine the limits. (If the limit is infinite, enter 'co' or '-co', as…

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Q: bounded by the following curves: y = x³/2, y = 8, x = 0, y = 0. Find the volume of the solid…

A: Given ,       y = x32 ,  y=8  ,  x= 0 , y=0.  From Shell method-     Since the revolution is around…

Q: 22) Determine the value of f(t)dt given that £15 f(t)dt = -10 and 5,5 f(t)dt = 9.

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Q: Find the equation of the line through the point (-5, 4) and perpendicular to the line y = 2-5.…

A: In this question, we want to find a equation of the line perpendicular to the given line passing…

Q: Find the general solution of the homogeneous differential equation (D³+2D²+D+2)y=0

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Q: Find the derivative of the function. y' = x cos - x cos-¹(x) y = √1-x² 1- x² -

A: Given that y=1-x2-xcos-1(x)

Q: Use the power series method to solve the given initial-value problem. (Enter the first four nonzero…

A: The given initial value problem:x+1y''-2-xy'+y=0 ; y0=8 ; y'0=-1

Q: Use the arc length formula to find the length of the curve  y = 7 − 4x,   −1 ≤ x ≤ 2.  Check your…

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Q: $5,000 is invested for 5 years at 8% compounded quarterly, how much interest (in $) will be earned?…

A: Given query is to find the interest earned.

Q: Determine the slant asymptote of the graph of f(x)= x²-8x+14 x-3 Write your answer in the format y =…

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Q: A sailboat is sailing on a lake with a constant speed of 10 miles per hour. At noon, the sailboat is…

A: given  (1) speed of the sailboat = 10 miles/hr. (2) If at noon, t = 0, Then, at t = 0, the…

Q: Differentiate: y dy dx 11 In(x) 26

A: Let's find derivative of given both  problem.

Q: Find the area enclosed by the curve x = x = t² - 2t, y = √t and the y-axis.

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Q: Find f(a), f(a+h), and the difference quotient f(a+h)-f(a), where h * 0. h f(x) = 4 - 2x + 7x² f(a)…

A: Let's find all given function value.

Q: 12. Find f x √(1-x²)³ dx

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Q: Find the slope of the tangent line to the curve x=t+ 1, y=2t² + t -1 at t= 1.

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Q: Given the absolute function graphed below, find the following: -3 -12 a) Domain: b) Range: 6…

A: Answering the first three subparts of the question,

Q: (x) = x4−256x+4 Enter the x-values of any local minima, maxima, and inflection points.

A: Given f(x) = x4−256x+4

Q: 1 1 1 은 관 + dt

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Q: Two oil tankers crash in the Pacific Ocean. The spreading oil slick has a circular shape, and the…

A: We need to find radius and area.

Q: The volume of a sphere is increasing at a constant rate of 1827 cubic centimeters per second. At the…

A: To find the rate of change of surface area of sphere.

Q: A firefly is flying along the path defined by r(t) = 20. At hat point(s) along the firefly's path…

A: Given position vector r( t ) = { t2 , 5-t2 , t3 } r( t ) = t2i + ( 5-t2 )j + t3kas we know that a( t…

Q: Determine the solution of the following differential equations. c) (D¹ + 2D6 + 7D5 + 14D4 + 8D³ +…

A: To determine the solution of the following differential equation.D7+2D6+7D5+14D4+8D3+16D3-16D-32y=0…

Q: Identify the coordinates of any local and absolute extreme points and inflection points. Graph the…

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Q: your answer State the leading term of x4 + 3x6 - 7x⁹ - 10. The leading term is -7 × Edit

A: To find leading term

Q: If f(2)= 5 and f'(x) ≥ 3 for 2 ≤ x ≤ 6, how small can f(6) possibly be? f(6) ≥ Need Help? Read It…

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Q: Find the length and width of a rectangle that has an area of 392 square feet and whose perimeter is…

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Q: Let y(t) be the solution to Use Euler's Method with time step ntn 00 10.2 20.4 30.6 40.8 51.0 Yn 2…

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Q: Integrate using u-substitution or 2 guys in Jail. fx sin(2x²) dx 5. (4x³-2)7 (24x²)dx

A: (4)   I=∫xsin(2x2)dx∫sinxdx=-cosx+cdxndx=nxn-1

Q: ble answers No Answers Chosen The range is all real numbers. ous The equation of the asymptote is x=…

A: We will find the required.

Q: 16. If h(x) = f(2t +Vt) dt, find h'(-2).

A: If hx=∫0x32t+t3 dt, then to find h'-2.

Q: List the first five terms of the sequence. an = cos(npi)

A: Given query is to find first 5 terms.

Q: Let C be the curve f(x) = the length of C, as follows: (1) Calculate f'(x). In(x) 2 - 4 between 1…

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Q: Use the piecewise defined function to answer the questions below. 7√x²+1 f(x) = 28 X+8 (x+5)(x-19)…

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Q: Question The Laplace transform of the function f(t)= e 2t+2t4 is Select one: O True O False L {f(t)}…

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Q: If total costs for a commodity are given by  C(x) = 850 + 30x  and total revenues are given by  R(x)…

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Q: 2) Find div( xi + 4yj + 2zk)

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Q: Differentiate the function. f'(x) = f(x) = sin(7 In(x))

A: Given,           fx=sin7 lnxTo find : Differentiate the function.

Q: Consider the given function and the given interval. 14x f(x) = (1+x²) 2¹ [0, 2] (a) Find the average…

A: According to question,Given Function,fx = 14x1+x22

Q: Find the Equation for the Graph of a Logarithmic Function (-4,3) * (2,4) f(x) = log₂ (x ) Type your…

A: We have to find the equation for the given graph.

Q: 18) The graph of f(x) is shown. fox A) I only 4 B) 1:4 f¹=0 at X = ? c) 1; 4; 5: D) 143536

A: As per guideline only one question is allowed to solve if multiple question is asked in single…

Q: Let C be the curve defined by the following system of √x+6y²-2²=0 3y = z 14:

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Q: Do the points (2,3,3), (3, 1,-2), (0, 4, 4), and (5, 1,0) lie on the same plane?

A: The given points are:A=(2, 3, 3)B=3, 1, -2C=0, 4, 4D=5, 1, 0

Q: solve: y" - Hý + 4y = 40st; y(0)=2₁ y(0)=5 using Laplace transform

A: y''-4y'+4y=4cos 2t Taking Laplace transform on both…

Q: 32. The radius of a circle is increasing at a constant rate of meters per second. What is the rate…

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Q: 19. lim x²-5x-24 x-5 x²-9

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Q: A triangular plate with base 2 m and height 3 m is submerged vertically in water so that the tip is…

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Q: Use geometry to evaluate the following integral. 5 frixe 1 f(x)dx, where f(x) = 2x if 1≤x≤2 6-2x if…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  first we need to…

Q: Let f(x) = 5x and g(x) = ex + 7. Determine the x-coordinate where the graphs of the two functions…

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Q: The function w(z) represents a package's corresponding weight in grams when the package's weight is…

A: Given query is to find the meaning of the inverse function.