II. Identify the equation of the slope of the tangent line, the slope, and the equation of the tangent line at x = 3 1. f(x) = 2x x+1

Q: it exists) integral (if it exists) Find the indicated integral (if ·∞ e4x e8x + 1 dx =

A: The given integral is e4x/[e8x+1], limit from -infinity to infinity.

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Q: 15. dx ₁ 1 16. 570 (2+1) - dx (x+1)¹/3 r

A: we can solve this as follows:

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A: Solution: 29) If the equation Ax = b has more than one solution for some b, then the columns of…

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A: To solve the following problem

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Q: Find the derivative of: 8x5 + 5x8

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A: Given :F=<3y, -5x>

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Q: Answer: Compute the value of the following improper integral. If it is divergent, type "Diverges" or…

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Q: 5 [²₁x² - 4x +31 dx

A: The given integral ∫05x2-4x+3dx. We have to find the integral.

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Q: sin Ꮎ cos2 0 -cos Ꮎ - 2 2. f . - dᎾ

A: #2 Given, ∫sin θcos2 θ-cos θ-2dθ

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A: Please see the below picture for detailed solution.

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Q: Change the order of integration by integrating first with respect to z, then x, then y. LET* -2 JO 6…

A: Here we have to change the order of the triple integral.

Q: Find the derivative of the function f(X) = x^2-2x by four steps processing.

A: Given function:- fx=x2-2x

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Q: 4 6y' – 2y = xy¹, y (0) = -1

A: The given differential equation is: 6y'-2y=xy4        ......1  Initial condition y0=-1

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Q: Let f(x) be the function shown in the graph below. m Click on the graph to enlarge it. (a) State the…

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Q: I'm confused on how you got 1.905 in the numerator

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Q: Suppose that f is a function given as f(x) = 3x + 1. Simplify the expression f(x + h). f(x + h) =…

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Q: y-axis. find the area of the surface obtained by rotating the curve about the y = x², 0≤x≤ 2 y=x+1,…

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Q: Use Simpson's Rule with n = 4 steps to estimate the integral. O 1747 840 1171 280 1747 420 1171

A: Solving the following problem

Q: Find and classify all critical points of f (x, y) = ax^n + by^n where ab cannot equal 0 and n ≥ 2

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Q: B. Continuity or Discontinuity. Write Continuity if the given is continuous and if Discontinuity. 1.…

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Q: 2 -P B + 200, where p is the price in dollars. If 104 Suppose the demand for a certain brand of a…

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Q: Derivatives inverse thank you

A: Here we have to find the tangent line.

Q: Graph f(x) = 5, x = 3. ind lim f(x) and lim f(x). x→3 x→3* oes lim f(x) exist? If so, what is it? If…

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Q: Suppose an oil spill covers a circular area and the radius, R, increases according to the graph…

A: By the use of graph, we need to find out the value of R(40), value of t when R(t)=50 and also R(0).

Q: Find the area enclosed by the curve x = t² - 2t y = √t and the Y axis.

A: Eliminate the parameter t and draw the graph then find the definite integration to get the area.

Q: Consider the following series. n = 1 Using the Ratio Test, find the following limit. (If the limit…

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Q: Explain the meaning of direction angles and their relation to direction vectors. What are the…

A: Answer: As per the guidelines, we can solve only first 3 subparts only, so post remaining parts…