Let y = Ա 4 + DIS 5 Ա and u = x³ = x³ - 2x.

Q: For the function F(t) = ln (t²), let ƒ(t) = F'(t). Write the integral f f(t) dt and evaluate it with…

A: The function F(t) =ln(t2) let f(t) = F'(t). Write the integral and evaluate it with the fundamental…

Q: Determine the arc = 3 sin 3t and y(t) = 3 cos 3t for 2 ≤t≤ 4. length of the parametric curve x(t)=

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Q: DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then the integral L{f(t)}…

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Q: Use the graph of the given function f to determine the following limits. If a limit does not exist,…

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Q: The asymptotes of the function f(x) = arctan are located at y = - and y = 2. What are the locations…

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Q: Direction: In each of the following, by substitution, verify that the given functions are solution…

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Q: Using the Law of Sines to find a triangle with one obtuse angle if ZA = 47°, a = 30, b = 33. If no…

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Q: Use the formula к(t): k(t) = = ||r' (t) ||³ r(t) = esti + e-tj to find k(t).

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Q: Evaluate the following integral in spherical coordinates. The integral calculates the volume of the…

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Q: Without using a calculator, find the exact value of the expression: 8 cos (-2) 3 12 cot (¹)

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Q: Given p = -57+ and d = -4i - 9j, find lp + dl and lpl + dl. Give EXACT answers. You do NOT have to…

A: The given vectors are,

Q: 7 Consider the complex number z = (a) (b) (c) 4-2j 3+j By multiplying top and bottom to get a real…

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

Q: Determine the interval of convergence for the power series representation of the following function.…

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Q: Determine the exact volume of the solid created by rotating the region bounded by y = 2³, y = 64,…

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Q: Suppose that f(x, y) = e/y on the domain D = {(x, y) | 0 ≤ y ≤ 2,0 ≤ x ≤ y³}. D Then the double…

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Q: The position of a particle as it moves horizontally is described by the equation - 2 sint cost. Find…

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Q: Given the following values, compute the derivatives (evaluated at x = 1) below. g(1) = 2 f(1) = 2…

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Q: A rectangular campsite on the shore of a lake is to be surrounded on three sides by a narrow, 80-m…

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Q: Point-masses m; are located on the x-axis as shown. Find the moment M of the system about the origin…

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Q: The daily sales S (in thousands of dollars) that are attributed to an advertising campaign are given…

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Q: Consider the surface z - 10 = ze cos z. Find an equation of the tangent plane to this surface at…

A: The surface is The equation of the tangent plane to the surface  at the point  is

Q: дz дz Use the chain rule to find and Əs at əz Əs дz | at || = z = tan 3v- 5u ₂2 (=), 5v + 3u u = 3s…

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Q: Consider the differential y" - 2y' + 37y = 0; ex cos(6x), ex sin(6x), (-∞0, ∞0). Verify that the…

A: NOTE: Refresh your page if you can't see any equations..The given DE is,Check the first…

Q: Solve the differential equation. y' = 5x - y 5(x-1) + Cex X

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Q: The graph of f is shown below. Evaluate each integral by interpreting it in terms of areas. = [ (z)…

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Q: Solve the following ODE using the trial solution method, y" - 4y=0 with the initial conditions, y…

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Q: 23. The table below shows the number of vehicles parked in a downtown parking lot over a three day…

A: The solution is shown in step-2

Q: 72 Write the equation of the line tangent to f(x) = 42x + X y= Write the linearization of fat x=2.…

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Q: Find the local maximum and minimum values and saddle point(s) of the function. You are encouraged to…

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Q: 4 g(t) = (1²-³1)

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Q: Consider the following function: f(x)=ln(x+1) Determine the intervals at which the function is…

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Q: The logarithmic form of x^y = 1/3 is: Oy = -log(3)/log(x) y = log(3)/log(x) O3 = log(y)/log(x) Ox =…

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

Q: Find the domain of the function f(x) = −2x². Use interval notation to express your answer. - 6x + 10

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Q: Using the Law of Sines to find a triangle with one obtuse angle if ZA = 45%, a 27,6 = 29. If no…

A: Law of sine  Where a , b and c are the side length of the triangle A , B and C are the angles of the…

Q: 7- Determine the absolute and local extreme of each function on the given interval. a) f(x) =…

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Q: Compute the derivative. Use logarithmic differentiation where appropriate. 6 +9) X d dx X

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Q: 9 (a) (b) Use the chain rule to differentiate the following functions (i) y = cos5 (x) (ii) y =…

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Q: Find the derivative of the function. f(x) = (7 - e-4x)6 f'(x) = X

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Q: 5-Sketch a graph of a function f that is differentiable and that satisfies the following conditions:…

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Q: 1. Differentiate. All the asnwer must be brought to their simplest factored form possible AND in…

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

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Q: Find the indicated derivative. If y = x6x¹/2, find d²y dx² d²y dx²

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Q: The graphs of a company's total revenue function and total cost function are shown. Use the graphs…

A: The solution is shown in step-2

Q: Determine the equations of the asymptotes for the hyperbola: +5²_ (x + 2)² =1 9 =-=-*- , y = x = -2;…

A: The given equation of hyperbola is; (y + 5)2/4 - (x+ 2)2/9 = 1Find the asymptotes.

Q: [= y² dx + x² dy=[ / ( aN - OM ) CA dA ax ay For the given path. C: boundary of the region lying…

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Q: QUESTION 2 Approximate the area of the triangle to the nearest tenth. a = 48.3°, b = 87, c = 12.7 C…

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Q: Sum= (Section 4.3) On a sketch of y = In(z), represent the left-endpoint approximation with 12 = 2…

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Q: My question revolves around L' Hopitals Rule. I have to functions s(x) = 4e^x +9 and t(x) = 9lnx +…

A: L' Hospital rule

Q: A street light is at the top of a 17-ft-tall pole. A 6-ft tall woman walks away from the pole with a…

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Q: Find the critical points of the following function. Use the Second Derivative Test to determine (if…

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