Determine the integral by making the appropriate substitution. 1 1+ 4e dx

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Q: ∞ 4. Apply the Ratio Test to the series [ the limit lim n→∞ (3n)! n=12¹ (n!)3 an+1 an and find

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Q: If f(x) = 15 to dt then f'(x) =

A: Note:-Since you asked multiple questions according to our policy we can answer only first question…

Q: Suppose that the variables x and y are related by the implicit equation X V = -3.3x 1.8 ln(x)+2.8y—…

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Q: I For f(x) = x-2 4x+20 (a) f(-6) (6) f(2) (C) f(-5) (a) f(a+3) find

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Q: Use the Ratio Test to determine the convergence of the following series. 8 Σ(-1)n+1 n=1 5 nn n!

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Q: Use the summation formulas to rewrite the expression without the summation notation. S(n) = k = 1…

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Q: Find the area of the region between the curve and the x-axis. 2 f(x)= x(x² -26), from - 5 to 5.

A: The region is bounded by curve  and x-axis from

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Q: Given 6xy= 2 + y³ ,  a) Find the coordinates of a point on the curve at which the line tangent to…

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Q: Find all exact solutions on the interval 0 <0 < 27. If there is more than one answer, enter them as…

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Q: Given f(x) = -√√/16 - x is concave up on its domain, what is an estimate for f (4.9) using the local…

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Q: Find the integral. Use C for the constant of integration. J cos(9t) sin(9t) dt

A: To find the following integral.

Q: (3, 7/7). 2 Plot the point whose polar coordinates are (3,

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Q: Refer to the graph shown below and evaluate Ĵ 1941 CH - 4 f(t)dt.

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Q: 2 x(x²-1) dx x²+1

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Q: 5. Example: The graphs of f and g are given. Use them to evaluate each limit, if it exists. If the…

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Q: Find the domain of f(x). f(x) = Interval 3x - 5 x² + 2x - 35 Answer Attempt 1 out of 2 2 Answer…

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Q: 2. The behavior of the system is a saddle. y' = -x + y, = -x-y

A: Given system is x' = -x +yy' = -x -y