State the domain, vertical asymptote, and end behavior of the function.   g(x)=ln(3x+9)+1.6 Enter the domain in interval notation. The vertical asymptote is x= As x approaches the vertical asymptote, g(x)→ As x approaches ∞, g(x)→

Q: Answer the following completely. Given: tan a = = 2√6, 3 5' cos B == 1. cos αε[0,π] sin ß < 0 Find…

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Q: Find the equation of the tangent line and the normal line at the p corresponding to the given value…

A: Let's find equation of tangent line and normal line.

Q: 5. Answers (in progress) In problems below, (a) identify the independent variable (use 't' for the…

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A: answer is in next step. please give a like!!

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Q: A city block has 6 pigeons and then 1 week later there are 9 pigeons. Let P(t) be the number of…

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Q: Evaluate the integral using an appropriate method. T/3 x sin(3x) dx

A: ∫0π3x sin(x)dx

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Q: 5. ƒ(x) = (x²+x−3)√√x²+x=3

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Q: (a) lim f(x) = x418 (b) L6 Given the graph of f (x) above, find the following limits. lim f(x) = 4 x…

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Q: Given: x³y - 3x2y" + 6xy' - 12y = 2x + Inx, write the transformed equation in z. A. (D³-6D2 +…

A: Let's transform equation in z.

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Q: Shown to the right is a certain population, in billions, for seven selected years from 1950 through…

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Q: You are given the function ?(?) = ?4 − 8?3 + 18. Determine (a) the interval where f(x) is increasing…

A: I have solved step by step all parts in detail.....go through the solution

Q: Find the indefinite integral. (Use C for the constant of integration. Remember to use absolute…

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Q: A government agency estimates the number of young adults (ages 18 to 24) in a particular country to…

A: topic- differential equations and integration

Q: Rewrite the equation with the variables separated. 2y' = 3x+y dy 2.3 ○ 3ºdy = 2/1dx O dy 3.9 = 3x dx…

A: Topic = Differential equation

Q: If f(x)=3-x² and g(x)=4-3x, find a) f(g(x)) b) f(g(0)) c) f(f(x)) d) g(g(x))

A: Given  fx = 3-x2  and  gx = 4-3x.

Q: Determine f-¹(x) if 1 (X) = Or¹(x)=x2 X+2 X-3 X-2 or¹(x) X+3 Or¹(x)= X-1 3x + 2 3x + 2 X-1 OM(x)=)…

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Q: A. By power series, solve the ODE y' - 2xy = 0. R P

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Q: Find the Taylor polynomial 7₂ for the function 3 O3+ (x-1)+(x-1)² 54 f(x)=√8+

A: We have to find the Taylor polynomial for the function f(x) at the number a=1. And power series…

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Q: Find the limit. lim væ+1

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Q: Find the indicated particular solution of the differential equation. dy dx + 7y= -2e - ⁹x; x = 0…

A: Topic = Differential equation

Q: nd the one-sided DNE lim_(x². +x+5) x--5- exists). (If an answer does not exist, enter DNE. Submit…

A: Topic:- limits

Q: g(x)= 4-3x 3x² + x

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Q: Determine the values of where the function f (x) is not continuous. Label each discontinuity as…

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Q: If investment A has continuously compounded interest and an annual return of 2%, and Jane has $100…

A: To find how much money she have after 8 years if she had 100 dollars after 5 years.

Q: Evaluate (2x - y) dx + (x + 3y) dy. JC C: x-axis from (0, 0) to (0, -3) and (0, -3) to (9, -3)

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Q: Given polar curves A₁: r = 1 + sin 0 and A₂: r = 3 sin 0 1. Set up (but do not evaluate) an…

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Q: Write the product as a sum or difference: 18 cos(22c) sin(9c) =

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Q: Integrate the given series expansion of f term-by-term from zero to x to obtain the corresponding…

A: We will solve to get required result.

Q: Use the functions below to find the given value. f(x)=x2 g(x)=x² ¹)(-2) (9

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Q: Find both first partial derivatives. Lese fx(x, y) fy(x, y) f(x, y) = Com | Need Help? (5t +20) dt +…

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Q: Using the first derivative find a point on the line (below) that is closest to the point P(5,-6).…

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Q: Consider the function. f(x)=x²-1 (a) Find the Inverse function of f. f-²(x) =

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Q: Find the first three nonzero terms of the Taylor expansion for the given function and given value of…

A: We have to find the Taylor series expansion.

Q: Let f(z) = (9 sin z + 2 cosz)tan¹z

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Q: Work Problem 3. a) Find the local maximum and minimum value(s) (if it exists) of the function f(x,…

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Q: solve the differential equation    y √(1+x^1)  dx + x √(1+y^2) dy=0

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Q: Find the solution to the initial-value problem. dy dx = y2ex sin(6x), y(0) = 1 y =        [PLEASE…

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Q: Question 7 Find the centroid of the region bounded by the curves Assume constant density. f(x) = 4x²…

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Q: Consider the following planes. −2x + y + z = 2 6x − 3y + 2z = 4 (a) Find the angle…

A: Consider the following planes. −2x + y + z   =   2 6x − 3y + 2z   =   4