Find the derivative of f(x) = 2tan ¹(eª).

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A: Note: Since the student has mentioned to solve parts (b), (c), and (d), so we are  solving…

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Q: Match the sequence with the given nth term with its graph. 10n n+ 1 an an 0.6 0.4 0.2 +++ -2 eBook -…

A: To match the sequence with the given nth term with its graph. an=10nn+1 an

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Q: If F(x) = f(7f(5f(x))), where f(0) = 0 and f'(0) = 1. Find F'(0).

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Q: Exercises: Determine the Laplace and Inverse Laplace Transform: ?? 1. ▸ 4. C 5 6. 7. L-¹ { ot! 5 S¹…

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Q: [s sin6y.cos²3y dy

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A: Given that y= tan(2x+7)   we have to find the differential. we know,   d(tanz) = sec2z dz

Q: Discontinuous, but continuous from the right, at 4

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Q: Find the area of the graph of the function f(x, y) = 2/3(x3/2 + y3/2) that lies over the domain [0,…

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Q: Find dy dx when In (xy) - x = 2.

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Q: Plot the point with the given polar coordinates. (4, ਗ) 0 N|X 24 W|24 ਨ

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Q: Use Newton's method to find the coordinates of the inflection point of the curve  y = e^cosx, 0 ≤ x…

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Q: Write out the form of the partial fraction decomposition of the function (as in this example). Do…

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Q: If y = y(x) is defined implicitly by 3y² + xy + 2 = 0, find the value of dy/dx at the point (5, -1).…

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Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region…

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Q: Evaluate the limit: r(t + h) - r(t) h for r(t) = (t-2, sint, 7) lim h→0 r' (t) = 100)

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Q: Find the derivative of the function. f(0) = cos(0²) f'(0) = -sin (0²) X

A: Given: f(θ)=cos(θ2)

Q: Use the Ratio Test to determine if the following series converges absolutely or diverges. Σ ( − 1)n…

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Q: 1. Evaluate the following limits lim x R X-2 a. b. lim C. 2-10 200 6 1²-9 lim X-3 X-3

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Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = x²cos x, n = 2, C = T

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Q: Evaluate / xdA where R is the rectangle: −1≤ x ≤ 3, 2≤y≤5. -1 A. 3 B. 6 C. 10 D. 12 E. 15

A: Given that ∬RxdA , where R is the rectangle: -1≤x≤3,2≤y≤5

Q: Find h'(2), given that f(2)= -5, g(2) = 3, f'(2) = -2, and g'(2) = 4. (a) h(x) = 4f(x) - 2g(x)…

A: Answered first three subparts as per our company guidelines.

Q: Let ƒ (x) = tan(x) defined on the interval (-3,7) and let ƒ¯¹(x) = tan−¹(x). From the 2 following…

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Q: dx 3. The rate at which quantities x and y change is given by cos (). If y(1) = π, find y(x). 2x

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Q: In the question they said without determine the numerical values of the coefficients

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Q: f(x) = mx + b '(x)= State the domain of the function. (Enter your answer using interval notation.)…

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Q: 25. S tan¹x secºx dx

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Q: Let f(x) = 3x³-5x²-4, x2 1.5. Find the value of df 1 dx at the point x = 780=f(7).

A: Given,             fx=3x3-5x2-4To find : Find the value of df-1dx at the point x=7.

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Q: Find the derivative for f (x) = 6 · sin ( 2 ), and identify any hor

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Q: Find the requested derivative. You're graded on your process as well as your answers, so please show…

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Q: Find the following using the table below. X 1 f(x) 3 4 1 f'(x) 3 2 4 1 g(x) 132 4 g'(x) 3 4 1 2 2 3…

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Q: The linear approximation at x = 0 to sin(5x) is A + Bx where A is: and where B is:

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Q: Let :{ f(x) = 2-x², 2, 2x, x < 0, 0≤x≤2 x ≥ 2 (a) Is the function continuous at x = 0? Why or why…

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Q: Find the limit. (If the limit is infinite, enter '' or '-', as appropriate. If the limit does not…

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Q: True or false: If f is a differentiable function, then d f'(x) 1/2 [1(√²)] = 2√² dx

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Q: Find an equation for the tangent line to the graph of f(x) = 2 sin(sin(x)) at the point P(, f(T)).…

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Q: For the function f, how would you remove the discontinuity? In other words, how would you define…

A: We have given function  fx=x2-4x-5x-5 fx=x2-5x+x-5x-5 fx=xx-5+1x-5x-5 fx=x-5x+1x-5 fx=x+1 Put x=5…

Q: Determine whether the equation is exact. If it is, then solve it. 9t dy + (9 In y + 5)dt = 0 Select…

A: standard form of exact equation Mdx+Ndy=0this is excat if  ∂M∂y=∂N∂xsolution is ∫Mdx+∫(terms of N…

Q: x²+x-6 |x - 21 (a) Find the following limits. (If an answer does not exist, enter DNE.) Let g(x) =…

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Q: Find a formula for the general term an of the sequence, assuming that the pattern of the first few…

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Q: Find the surface area of revolution about the x-axis of y = 6x + 4 over the interval 0 ≤ x ≤ 3.

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Q: Solve the differential equation by regarding y as the independent variable rather than x. (4x+y²³¹)…

A: Given :4x+y3e4ydydx=1