Let F(s) = L-¹{F(s)} = ? 1 f(t) = e-8 tsin(√7t) √7 f(t)=e8tsin(√7t) O O f(t) = e 1 s²+16 s+71 -8 t cos(√7t) √√7 f(t) = -—-e-8 tsin(7 t) O None of the others Give your reasons then

Q: Solve for 8: cos²0 (1 + 2cose) = 0 on the interval 0 sesn. = 06-1플 100-10. ㅠ 3 품 품 3 3 00-27, 0.ㅠ…

A: To solve the trigonometric equation cos2θ1+2cosθ=0 ; 0≤θ≤π.   As the general solution of the…

Q: Find the sum of the series 65+ 513 5/9 + LO 5 27 - 5 81 +

A:

Q: 9- The sum of the first 10 terms of an arithmetic sequence is 235 and the sum of the second 10 terms…

A: we need to find out the first term and commin difference of the arithmetic sequence.

Q: DETAILS The velocity of a skydiver, in feet per second, t seconds after jumping out of an airplane,…

A:

Q: Find the standard form of the equation of the ellipse satisfying the given conditions. Endpoints of…

A:

Q: (From Briggs) 1. Without evaluating integrals, explain the following equalities. a. b. 7(8-2x) dx =…

A: We need to explain inequalities. As per Bartleby guidelines we can solve one question from multiple…

Q: Find a "cartesian" equation for the circle which is given by the polar equation r = 2 sin 0, and…

A: Given query is to find the Cartesian equation and the centre of the circle.

Q: Use the triangle to express 8 as a function of y. 10 08 = sin() 0 8 = sin n-¹(10) 0 0 = cos 1¹ (1)…

A: We can find the correct option in the below steps.

Q: -X d) xy' + (1 + x)y = e¯* sin(2x)

A:

Q: Part b pls

A:

Q: Is the function T(s) = (6s-4) (es-5) a power function? If so, identify k and p such that T(s) = ks².…

A: The given function is:T(s)=6s-4es-5

Q: Find f such that f'(x) = 8x² + 7x-7 and f(0) = 2. f(x) =

A: Given query is to find indicated function m

Q: 8. The following table shows the number of Facebook members f(t) in millions over time t, where t =…

A:

Q: Differentiate. y' = y = 3 sec(x) - csc(x)

A:

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

A:

Q: Use the graph of f(x) shown below to answer the questions J'(x) O (a) Find lim f(x). x-1 05 01/1/20…

A: see below the answer and explanation

Q: The farmer knows that the area of the rectangular enclosure must be at least 400 square meters. This…

A:

Q: Differentiate. g'(x) = g(x) = (x + 9√x)ex

A:

Q: The given figure shows a rectangle inscribed in an isosceles right triangle whose hypotenuse is 14…

A:

Q: X Find the point of inflection of the graph of the function f(x)=2sin on the interval [0, 147]. ○ (7…

A: Given query is to find th point of inflection.

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

A: To find leading term

Q: Evaluate the integrals: COS cos √x √√x -dx

A: I=∫cosxxdxwe know that  ∫cosxdx=sinx+cdxndx=nxn-1

Q: Find dy dx by implicit differentiation. x²+2x+11xy-y²= 16

A: We have to find dy/dx.

Q: Given the homogeneous differential equation: y (4) + 3y "- 4y=0 What is its auxiliary equation?…

A: Given that the homogeneous differential equation is y(4) + 3y" - 4y = 0 . Here we have to find its…

Q: 23. lim 848 5√√x+3 1 - 17x²

A: Solve limit

Q: Solve the system by back substitution. -4x-8y-2z - 6w = 5 -4y-24z-8w = -32 -4z-4w= -8 4w= 12 The…

A:

Q: Find the area between the graph of y = 5 - 5x^(2/3) and x-axis and −1≤ x ≤ 8 using properties of…

A:

Q: Sketch the region R and compute ff 2xdxdy, where R is the region bounded by x = y² and (x-1)² + y² =…

A: To find:- ∬R2xdxdy Where R is the region bounded by x=y2, x-12+y2=1

Q: Find a polar equation for the curve represented by the given Cartesian equation. x² + y² = 4cx k

A:

Q: : You need to provide a clear and detailed solution for the following Questions: Question 1 Given…

A: Solution: Given data, y"-7y'+10y = -2e3t

Q: Find the derivative of: 7 sin² ( – 2xº).

A: Since you have posted multiple questions i can do first question as per our company guidelines…

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

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

Q: A as it is wishes to manufacture a box with company a volume of 32 ft³ that is open on top and is…

A: Given, Volume of box = 323 ft3 Length is twice of the width. Let, Length of the box = L Width of the…

Q: Find solutions to the equation 5 Tan²x + Tanx = 2 on interval [=17, 27). Round Solutions to 4…

A:

Q: and the average value of f(x)= uestion 25 4(x²+2) x² on the interval [1, 3]. Round your answer to…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Use the function below to determine if the following statements are true or false. f(x) = log5…

A:

Q: 1. (6413 #4 p. 351) The cross section of a large tank is a trapezoid. The short side of the…

A:

Q: Differentiate the function. F(t) = tº + e⁹ F'(t) =

A: Here is the solution:

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

A: Given query is to find first 5 terms.

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = x3,    0 ≤ x…

A: I have appended the formula used in the solution part

Q: For the function f(x) = 2x³-18x²+4: (a) Find the critical numbers of f(if any); (b) Find the open…

A:

Q: Find the first and second derivative for the following functions. 1. y =tan(x) 2. Y = 3(x²-4)5 no…

A:

Q: Find the area of the region bounded by the graphs of the algebraic functions. f(x)=x² +34x+289 g(x)…

A:

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

A:

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

A:

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: on using a single vector function (including domain) of the following curves in R

A: we have to find parametrization for the given curve ;--   a linear path along  x - y =9  from (9,0)…

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: 1. Given the equation y = -7cos(4x + 20), find the following: (write the answers here and on paper)…

A: To solve the following problem and find the following things