01- (71^^5 + (71, A²/2 + (7) A = √ylt] = Laplace transform to volve y²107 = 5 vje 0=1015 +1

Q: f(x) = x² 8 x + 2 x - 6

A: f(x)=x+2x2−x−6

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A: The given function is "As per the rules, we are supposed to answer the first question, and rest of…

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Q: 3. Use the definition of convergence to prove lim Ross 9 is allowed. 4. Use the definition of…

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Q: Find the derivative of the function. s(x) = 3√x + 11/3√x

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Q: Formal Proof Let e > 0 and let N 54 hence 52 N implies n € ⁹ 2, we have ≤ n³ – 6 and 27n n³/2 Thus…

A: As per our guidelines we are allowed to answer only one question. Kindly repost the other question…

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Q: . Let A = 1 03 2 3 4 1 02 Find A-¹ if possible. If A−¹ does not exist, explain why.

A: Given that a matrix A  and we find the inverse of this matix A or A-1.

Q: Find the derivative of the function.  s(x) = √x + 5/√x

A: The given function .The aim is to find the derivative of the function.

Q: 1. Find the differential equations of the given relations by elimination of arbitrary constants. y =…

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Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

A: By using the method of cylindrical shell to find the volume V generated by  rotating the region…

Q: 10. Use the given graph of the function f to answer parts (a) - (o). (-4,2) -4 4 (-2, 1) 2 -2 (0,…

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Q: The displacement of a mass on a spring is given by s= sint where t is in seconds. 2 Find the average…

A: The displacement of a mass on a spring is given by,

Q: Use the graphs to find limo (f (h (x))). y ho y=tx O The limit does not exist. 01 05 04 0 3

A: Use the given graph we find the value of limit.

Q: □ O O 36 85 11. Given sin A -36 85 -11 85 O 11 85 = sin (A - B) = 7 |co 3 5 cos B = 8 and A and B…

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Q: Use the chain rule to find dz/dt  z=xy^5-x^2y              x=t^2+1                 y=t^2-1

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Q: grap S 2- 14 x Enter the point whose tangent line has the steepest positive slope. Enter the point…

A: Find the Solution of all three question with the help of given graph.

Q: Find the inverse Laplace transform of F(s) = = f(t) = 4s² - 11s +1 (s − 1)³

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Q: Determine the critical point of the function and use the critical studied to classify it(s) as a…

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Q: Identify a function f that has the given characteristics. f(–5) = f(2) = 0;  f '(-1.5) = 0,  f '(x)…

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Q: Find a parametric representation of the solution set of the linear equation. (Enter your answer as a…

A: Given linear equation is -7x +9y -8z =1

Q: II2. Find an equation of the plane that contains the intersection points of the ellipsoid 9x² + 4y²…

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Q: Solve sinx-cos² * = cos² = 1 on the interval 0≤x < 2π. п 4 " бп 4 п 3п 2' 2 0, π Ο 0, π, 2π

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Q: Let f(x)= x2, and compute the Riemann sum of f over the interval [4, 6], choosing the representative…

A: We need to find the Riemann sum of f(x) = x^2, over the interval [4,6].The formula for the Riemann…

Q: 12. First simplify using identities and then solve 2 cos 0 + tan 0 00< 27. Express the answer in…

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Q: Evaluate the integral. •π/2 π/4 5 cot³(x) dx

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Q: limt 3 (t¹ – 5t³ + 2) = - If the limit does not exist, write "Does not exist" without punctuation.…

A: To evaluate each of the following limit.

Q: dt Draw a phase portrait and sketch typical solution curves. Use your solution curves t term…

A: Consider the differential equation,dy/dt = 12y - 3y²

Q: Consider the following. sin³(y) cos (y) dy ---Select--- This is an integral of the form sin(y)…

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Q: 1 lim x+22x - 3 = 1 lim √√x²-3 = 1 x→2

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Q: Find the Laplace transform, F'(s) of the function f(t) = sin(3t), t > 0 F(s) = s>0

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Q: wrong answer

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Q3: Find the area of the region bounded by the curves y = sinx and y = cosx TT at x = = 0 and X = 2…

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Q: O Question 7 The slope of the tangent line to the curve y J Preview Submit Question Preview 2 The…

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Q: Consider the graph of f below Determine the following limits: d. lim f(x) x-1- e. lim f(x) x →1+ -6…

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Q: s(t) = -16t² + vot + so (a) Determine the position and velocity functions for the coin. s(t) = v(t)…

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Q: 12. First simplify using identities and then solve 2 cos 0 + tan 0 0 6 О п 5п 7п 4¹ 4 2 2 2 О п 3п…

A: First to simplify by using the identities and then to solve

Q: u = (1,7,-3) and v = (3,-2,3) Find u. v Find u x v Find an equation for the plane through P(4, 1, 1)…

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Q: che object. (a) At t = 0 seconds, s = 158 feet. At t = 1 second, s = 95 feet. At t = 2 seconds, s =…

A: Since we are given with multiple number of questions and our guideline is solve first question only

Q: Find the formula for the nth term in the sequence: −3/2 , −1/6, 1/12, 3/20, 5/30, . . . Integers…

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Q: Let h be the function given below. On which of the following intervals is h continuous? You may not…

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Q: Which of the following represent the derivative of the function f at the input x = a? Select all…

A: The definitions of a derivative of a function f at x = a are given below

Q: radius at the top of 2 m and a height of 7 m. The tank also has a 2 m spout at the top of the tank.…

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Q: Has a diameter with endpoints A(-1, 4) and B(1, 2)

A: If the end points of the diameter are, then the equation of the circle is given by

Q: Find the inverse Laplace transform, ƒ(t) of the function F(s) = f(t) = ,t> 0 1 s² - 36 s>6

A: We have to find the inverse Laplace transformation, f(t) of the function

Q: f(x) = sin(0), 0 - 10 <0 <0 0 ≤0 ≤ 10 Find lime 5 f(x). If the limit does not exist, write "Does not…

A: Given: To Find .