Find the inverse Laplace transform £¯¹{F(s)} of the given function. 18 F(s) = s² +9 Your answer should be a function of t. L-¹{F(s)} = = =

Q: Calculate the integral of f(x, y) = 4x over the region D bounded above by y = x(2 - x) and below by…

A:

Q: CSC 3/¹² (3x) cot³(3x)d

A:

Q: 8. Let y find = dy dx 4x√x² +8 (x +9)2/3* at x = -1. Use logarithmic differentiation to

A: The given data is: y=4xx2+8x+923  Use logarithmic differentiation to find dydx at x=-1

Q: cos8x-1 sin8x 4.Evaluate y' for y=- and simplify the answer

A:

Q: 5. | tan’xsec*xdx

A:

Q: Consider f(x) = x + 5 and g(x) = 1 x² - 4 • You must combine all like terms before you submit your…

A:

Q: Consider the ellipse foci? (x-5)² 256 + (y-7)² = 1. From any point on the ellipse, what is the sum…

A:

Q: Suppose we have two interesting functions f and g. We have limited knowledge of them as follows: •…

A:

Q: Determine the derivative of the given function: y = e OV=11/1/20 y y = -6xe 7 y' = -2x-¹e-3/ 0 0y=…

A: To find the derivative of given function.

Q: 100 56. Σ (3k + 4) k=1

A: Note: Since the student has mentioned to solve only question no. 56, so we are solving accordingly…

Q: @fő)= 5. Find the hypercritical values of the function. f(x) = + x ²² 36x² - 12x² hev's @concup=…

A: Hyper critical values:- those points where the function second derivative is either zero or…

Q: Problem 2 Given the following differential equation: (y³+kxy4 - 2x)dx + (3xy2 + 20x² y³-ky)dy = 0 a)…

A:

Q: Identify a technique of integration for evaluating the following integrals. If necessary, explain…

A: I am attaching image so that you understand each and every step.

Q: Find the absolute minimum and absolute maximum values of f on the given interval. f(x) = x - In(6x),…

A:

Q: 1. (sin³1y) (cos ydy 5 8 0 2 2

A:

Q: Given: y = 5 (cosh log )², find y' (cosh² O g = =|sinh 2 log = ]5 sh®log }} O 5 O ý =−}(m& )[sinh 2…

A: The objective of the question is determine the derivative of the given function and choose the…

Q: 1 X √√√1-x² dy dx 0

A:

Q: Consider the following autonomous first-order differential equation. y' = y² + 2y 1194994 ++ + + +

A: Given differential equation y'=y2+2y

Q: 5 Find the center and radius of the circle. Write the standard form of the equation. The center of…

A: We know that the centre is the mid point of diameter.

Q: Using the shortcuts for finding a derivative to find the derivative of 17 √x f(x) = 7√x f'(x) =

A: Topic = Derivative As per guidelines , at a time only one question can be answered. please repost…

Q: entify a technique of integration for evaluating the following integrals. If necessary, explain how…

A: Topic -Integration  We are given  ∫4x sin(5x) dxwe know that multiplication of two functions which…

Q: If a snow ball melts so that its area decreases at a rate of lcm³/min, find the rate at which the…

A: The rate at which the area of the snow ball changing is dAdt = -1 cm2/min To evaluate: The rate at…

Q: Find {f(t)} by first using a trigonometric identity. (Write your answer as a function of s.) cos( +…

A:

Q: - 2q + 250, where q is the quantity Let the demand function for a product be given by the function…

A: Given,Demand Function D(q) = -2q + 250(A) Revenue from selling 105 itemsRevenue function = q ×…

Q: In getting the derivative of a variable raised to a variable y = [f(x)](2), which of the following…

A:

Q: Evaluate the following integral using partial fraction decomposition. S 12 (x-4)(x+8) 12 (x-4)(x+8)…

A: The given integral ∫12x-4x+8dx We have to find the integral using partial fraction.

Q: i am just very confused, i know all of this is correct but i dont know the basic rules of sets

A:

Q: At what point on the y-axis will the normal line at x = 1 of the function f(x)=√x intersect?

A:

Q: The peak of Azmar's epic rainstorm of 2011 occurred between 4 pm, Jul 10, and 4 am, Jul 11. During…

A: Given: The rate of rainfall modeled by equation r(t)=240e2t360+e2t32 in inches per hour, where t=0…

Q: Use logarithmic differentiation to find the derivative of y = sin(5x)1+5x; y = 5*(1+5*x)*sin Your…

A:

Q: Si 0 dx √√√x+1+1 7

A:

Q: Consider the following. √x + √y = 3 (a) Find y' by implicit differentiation. y' = (b) Solve the…

A: See this solution in below.

Q: Ꭱ Find ff f(x, y) dA where f(x, y) = x and R = [0, 1] × [-4, -3]. SSR f(x, y) dA=

A:

Q: Which function is increasing? Ⓒ y = ln x O y = -lnx O y = -log₂ x ****

A: Which function is increasing?

Q: Find y as a function of x if X y(0) = −1, y′(0) = 9, y″(0) y(x) = = -16. = y" - 4y" y + 4y = 0,

A:

Q: What term(s) should appear in the partial fraction decomposition of a proper rational function with…

A: Topic - Partial fraction decomposition We are given, a.) A factor of x-3 in the denominatorb.) A…

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(t) = 6t+ 6…

A:

Q: What else do you observe? Concept Check: Evaluate the following integrals: ·S 4. 5sin2x cos2x dx…

A:

Q: Find the inverse transform of the given function of s. = 6s - 49 s²-85+41

A:

Q: Show that the triangle with vertices A, B, and C is a right triangle. d(A, B)2 d(A, C)2 + d(B, C)² =…

A: Topic - Pythagoras theorem and area of a triangle We are given, three points on a triangle as…

Q: I need the P prime and Q prime of 1 and 6 P'(1)= Q'(1)= P'(6)= Q'(6)=

A:

Q: 3. Let f(t) = t(1 - 2t). a) Find the average rate of change of f(t) with respect to t as t changes…

A:

Q: State the equation of the rational functions whose graph is below. y 5+ 4+ 5432 3+ 2+

A: NOTE: Refresh your page if you can't see any equations. . as we can see  from the graph, the…

Q: 9. A Rectangular box w/an open top is to be made from a square piece of cardboard that is Binche's…

A: This question can be solved using the concept of maxima and minima.

Q: 1. Find the double integral over the region R bounded by the functions. Choose the more convenient…

A: To find:- ∬Rx3y2dA ; y=x,y=0,x=1 ∬xeydA ; y=x,y=0,x=1 ∬RxydA ; y=x2+1,y=3-x2

Q: Evaluate the integral. [22 tan x sec ²x dx 21 [22 tan 21 x se x secx dx =

A:

Q: simplify the expression:  tan^2theta/sec^2theta+cot^2theta/csc^2theta

A:

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A:

Q: b) Find the differential of the function f(x) = tan(√x)

A:

Q: (a) In each of the following problems, you may assume that an exponential growth and decay model…

A: Solution: 2(a) (i) N0=200 g , N(t)=140 g, t=10 years