Compute the length of the curve where 0 ≤0 ≤ T. x = 2 cos² 0, y = 2 cos 0 sin 0,

Q: Find the inverse Laplace transform 01 2 Ou44(1-4) usinh(t — 4) O sinh4(1-4) 0 1 u4cosh4(1-4) 01 4…

A: Given problem:- Find L-1e-4ss2-16

Q: Find the inverse Laplace transform of the given function. F(s) = 5e-2s s² - 25 Use uc (t) to denote…

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Q: H.w: Find the LT of the following functions: 3-f(t) = cosh at cos at

A: Given, f(t)=cosh at cos at

Q: Select the graph which satisfies all of the given conditions. Justify your answer in terms of…

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Q: Find the Laplace transform Y(s) = L{y} of the solution of the given initial value problem. Y(s) = y"…

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Q: Let s(t) v(t) = 6t³+9t²360t be the equation of motion for a particle. Find a function for the…

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Q: 7 Find f(x) if f'(x)= and f(1) = 4. X 7 --x-3+19 O B. f(x)= -28x-5 +32 7 O c. f(x)= 3 O A. f(x) =…

A: As we know the Power rule: ∫xndx=xn+1n+1+C ; n≠-1   Given: f'x=7x4 So, we can also write as;…

Q: Solve this in excel using solver step by step 2x-8y=11 9x+3y=5

A: Given that, the system of equations is                   2x-8y=119x+3y=5 we can write the…

Q: A dead body was found within a closed room of a house where the temperature was a constant 65° F. At…

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Q: Find the sum of the areas of the shaded rectangles under the graph. Round to two decimal places.…

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Q: Find the standard form of the equation of the ellipse with the given characteristics. Center: (1,…

A: This question can be solved using the concept of standard form of  equation of ellipse.

Q: Find the points of intersection of the graphs of the equations.  r = 5(1-sintheta) r =…

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Q: Q1: Solve Ine +4-2= log10 100 for x b)x=0 a) x=1 c)x=(1,-1) Q2. If f(x)=x (2 Inx-3) Find f'(x) a)…

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Q: Problem 4.10 Find the slant asymptote of and sketch the curve. y = 2x³5x² + 3x x2 -x-2

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Q: Find the value of a necessary for there to be a local minimum at x = 2 for the function f(x) = -ax²…

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Q: Find the directional derivative of the function at P in the direction of v f(x,y,z xy + yz + xz,…

A: As per our guidelines we only solve one question and rest of the question will be reposted.

Q: 11 sin (0) cos³ (0) + 3 cos (0) do

A: Our Aim is to evaluate the integral given below:-∫11 sin θcos3 θ+3 cos θdθ -(i)

Q: Recall that cos(bt) = = 1 -(eibt - e-ibt). Use the linearity of the Laplace transform to find the…

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Q: The polar coordinates of a point are given. Find the rectangular coordinates of this point. 2π 3…

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Q: Consider the functions f, g, and h, which are differentiable for all x € R and h(x) − 2 #0 - for all…

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Q: Imagine that you are trying to decide whether to fly or drive to visit a friend in another state. If…

A: Given: when you fly it will cost you $300 and take 6 hours and if you drive it will cost you $180…

Q: Σ 500(1.07)" ΕΞΟ

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Q: Highway engineers design a parabolic curve for an entrance ramp from a straight street to an…

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Q: Use summation notation to write the sum. 12 - 3 + 3 4 3 256

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Q: I got the question wrong

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Q: Complete the table for each radioactive isotope. See Example 1. (Enter all amounts in grams. Round…

A: Please refer to the image below

Q: b\ State and prove the theorem of (derivative of inverse functions), then use it to ans these…

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Q: Use the Laplace transform to solve the given initial-value problem. 2t y" - 3y' = 8e²t - 2e-t, y(0)…

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Q: Consider the problem √√²-1 da If we try to solve using integration by parts, we might choose น= x² -…

A: Given integral:- ∫x2-1xdx

Q: At noon, ship A is 10 nautical miles due west of ship B. Ship A is sailing west at 21 knots and ship…

A: We have to find speed

Q: b\ State and prove the theorem of these questions below, for each given functions find the value of…

A: answer is in next step.   as per guideline i can answer only one question .

Q: Find the Laplace transform of coshbt. Recall that coshbt = OL{coshbt} OL{coshbt} O L {coshbt} O = =…

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Q: 12. Find the directional derivative of f(x, y, z)=zy+yz+xzat (1, 1, 2) in the direction of u =…

A: We can find the directional derivative in the following steps.

Q: y=x5 to f(x)= 5/96(x+2)(x-1/2)(x+1)3.   The mapping rule involves transforming the y=x5 table of…

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Q: Find the inverse Laplace transform L¯¹{F(s)} of the given functio 5s² - 10s + 50 s(s² +25) Your…

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Q: Q5. (Log,3)= a); xin & Cost (1 ²)dt

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Q: Find the coefficient a of the term in the expansion of the binomial. Binomial (z³ - t)13 3 = Term…

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Q: (c) f(t) = -7t-u{t-10}.

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Q: I. Solve for the General or Particula 1. dy dx = 3x+xy² y+x²y

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Q: Fill in the blank. (Enter your answer in terms of t.) {{ D 1 (s-7)³)

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Q: Use Theorem 7.1.1 to find (ft)). (Write your answer as a function of s.) f(t) = (et-e-t)² L{F(t))

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Q: 1) Solve for the (veneral or particular Solution of the following 0 (x+4) ydx Differential Equation…

A: Let's solve given diffrential equation.

Q: Q5: a\State and prove the theorem of (continuity-differentiability), then find the value(s) of x…

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Q: Use the Fundamental Theorem of Calculus to find the "area under curve" of f(x) = 8x + 4 between x =…

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: Sketch the space curve. Vector-Valued Function r(t) = -ti + 2tj + 6tk ** kk Find its length over the…

A: Given problem:- rt=-ti+2tj+6tk , [0,1]

Q: Question Define as the region bounded by the functions u(y) = y² + 1 and v(y) = y between y = 1 and…

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Q: - A gardener has 120 feet of fencing to fence in a rectangular garden. He wants one side of his…

A: According to the question: l+3w=120 or l=120-3w a)The area A of the garden is:           A=lw…

Q: Use the formula к(t) = = k(t) = = ||r' (t) × r"(t)|| ||r'(t)||³ r(t) = t²i+t¹5j to find (t).

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Q: Write an expression for the apparent nth term an of the sequence. (Assume that n begins with 1.) 4 5…

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