Evaluate. (Use C for the constant of integration.) sec sec4(3x) dx

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A: Inverse laplace

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A: Eccentricity, e=34 Vertices, 3,π;21,2π

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A: Given integral, ∫02zez2dz

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Q: Let y (a) 3e¹/2x Find y'. y' = (b) Find y". y" = 1 7e-x. (c) Is y a solution of 2y" + y - y = O Yes…

A: NOTE: Refresh your page if you can't see any equations. . the given solution is  take the…

Q: Given z₁ and 22, find the midpoint. Z₁ = −9+4i and Z₂ = 7 - 6i [?]+[] i 2 Enter

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Q: Consider the function f(x) = 2x³ +39x² - 240x +9. This function has two critical numbers A B: and…

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Q: Evaluating an Iterated Integral In Exercises 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24,…

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Q: Find the points on the curve where the tangent is horizontal or vertical. You may want to use a…

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Q: 3. Evaluate each of the following limits, if they exist. x²-√√x b) lim X-1 √x-1

A: let  B=lim x→1x2-xx-1formula of derivatives are (i)  ∂ ∂x(xn)=nxn-1(ii) ∂ ∂x(constant)=0(iii)  ∂…

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A: Given that, the function             g(x) = -2x-14 - 1

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A: .

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Q: Find dx dt dy dt dx dy dt dt = 11 = and dy dx x = 5t 5ln(t), - y = 8t² - 8t-2

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Q: Use spherical coordinates. Evaluate JL. (x (x² + y²) dv, where E lies between the spheres x² + y2 +…

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Q: Find the rectangular coordinates of the point whose spherical coordinates are given. (a) (1, 0, 0)…

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Q: et f(x) cx + In(cos(x)). For what value of c is f = T 4 = 4?

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Q: Given the differential equation y"-4y= 2e-t-6e¹t, y(0) = 0, y'(0) = -1 Apply the Laplace Transform…

A: y''-4y=2e-t-6e4ty(0)=0y'(0)=-1

Q: Find the integral. Use C for the constant of integration. J ✓cos(3t) sin(3t) dt

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Q: Consider the following. 5e6x = 20 (a) Complete the table to find an interval containing the solution…

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Q: A conservation organization releases 100 animals of an endangered species into a game preserve. The…

A: pt=12001+11e-0.1634t

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Q: The percent P of defective parts produced by a new employee t days after the employee starts work…

A: Given: P=t+179050(t+2) We are required to find: a. dPdt at t=1b. dPdt  at t=10

Q: Refer to the figure. Show that a + ß = y, and find the numerical value of tan(y). 8. a 5 A Y B 4 5

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Q: Suppose that the function with the given graph is not f(x), but f'(x). Find the open intervals where…

A: Given  for decreasing interval f'(x) &lt; 0

Q: Test Identify b 00 Σ(-1)^_ n = 1 Evaluate the following limit. lim b 718 3n+ 5 n Since lim b? 0 and…

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Q: The velocity of a car is f(t) = 3t meters/second. Use a graph of f(t) to find the exact distance…

A: Given: The velocity of a car is f(t)=3t meters/second. We are required to find:  Use a graph of f(t)…

Q: Find the slope of the tangent line to the graph of the polar equation at the point specified by the…

A: drdθ=ddθcosθ3  =-sinθ3ddθθ3=-sinθ313

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Q: for sin (a) Evaluate F(π). Let F(x) = sin(2t) dt. (b) For what values of x is F(x) non-negative?…

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Q: en (1, 1) is a point on the base graph of f(x) = x5 and g(x) = -(x-1)6 +5, f would be moved to on…

A: The base point is given as (1, 1). The base function is given as f(x)=x5.

Q: Suppose that the function with the given graph is not f(x), but f'(x). Find the locations of all…

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A: We use Horizontal strip to evaluate the area

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Q: Let S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16} a. How many subsets are there total?…

A: S=1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16

Q: Consider the following. x = e-st, y est (a) Eliminate the parameter to find a Cartesian equation of…

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Q: Use the midpoint rule with the given value of n to approximate the integral. 4ex dx, n=6 VE Find the…

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Q: 2. Sketch the curve defined by the parametric equations z=1+ sint y cost-2 and the interval 0 Sts.…

A: x=1+sint y=cost-2

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Q: If f(x) > 0 for all x, then every solution of the differential equation d dy = f(x) is an increasing…

A: Suppose that f(x) is a continuous and derivable function in the interval (a,b) then by first…

Q: Evaluate the integral (by interpreting it as the area between two curves) 1 |x³ — x| dx

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Q: (2) Graph the polynomial P(x) = x³ + x² − 5x+3 using calculus by showing the given steps: (a) Find…

A: We need to solve function and draw graph.

Q: Use Newton's Method with the function f(x) = x³ - 5 and initial value I1 x₂ = I3 || || = 1.6 to…

A: We have to use newtons method to find the solutions.