Consider the following function. f(x) = 36e8x 12e4x + 6e -3x -6e +9eº 8x Find the horizontal asymptote(s) of f(x). (Enter your answers as a cor -2x + - -3x 24e

Q: Calculate the following limit: lim X-0 -5.sin(x) 2.X

A: Given that a limit problem and we solve this problem by using general property of limit.

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

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Q: Solve the initial value problem. √y dx + (x-1)dy = 0, y(2) = 16

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Q: 2. Let p(x) = -3x + 12. (a) Graph p(x) on the domain -3 ≤ x ≤ 5. Label the intercepts. (b) Solve…

A: p(x)=-3x+12

Q: Find the limit. (If the limit is infinite, enter 'co' or '-co', as appropriate. lim √x+ 2x² 9x1…

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Q: Example 4 Video Example The graph of a functiong is shown. (b) (c) Use it to state the values (if…

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Q: Find the area of the shaded region. y = x^3-15, y = x, (4,4), (-4,-4)

A: we have curve in which intersection of line and curve are

Q: Consider the function. x+7 f(x) = X (a) Find the inverse function of f. f-¹(x) = (b) Use a graphing…

A: The given function is

Q: Q2: Find the absolute maximum and minimum of the function f(x, y) = x² + y² on the closed triangular…

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Q: Find the first five terms in sequences with the following nth terms. a. 6n - 1 b. 9n-2 c. 5n+1 d. n²…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: cos(2sin^-1(12/13)) Find the exact value (answer in radians)

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Q: Express the function in the form fo g. (Use non-identity functions for f and g.) V√√x X F(x) = 3 6 +…

A: F(x)=

Q: EXAMPLE 5 Video Example Where is the function f(x)=(x) differentiable? SOLUTION If x > 0, then [x]-…

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Q: 2. Let a = 0 and an 2an-1 + 1, n ≥ 1 = Show by mathematical induction that for all positive integers…

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Q: please solve d,e,f only

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Q: Find the values of x, if any, at which f is not continuou a. f(x) = 5x²-3x + 7 b. f(x)= = c. f(x) =…

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Q: The equation of motion of a particle is s=²³-12t, where s is measured in meters and this in seconds.…

A: The equation of motion of a particle is , where  is measured in meters and  is in seconds. (Assume…

Q: 8. Consider the implicity defined relation 3 sin x + cos y = xy for 0 < x < 2л. What are the…

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Q: 10. A sandwich shop charges $7 for a foot-long sandwich with one protein and unlimited veggies. You…

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Q: Draw the Venn diagram of the following sets. 1. AC UBC 2. AC OBC

A: The given sets,1. 2. The aim is to draw the Venn diagram for the given sets.

Q: with the given in d, e, and f...: a) write an equation of the line in point-slope form b) write an…

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Q: Find the derivative of the function using the definition of derivative. g(x)=√6- State the domain of…

A: g(x)=6−x

Q: The fox population in a certain region has an annual growth rate of 9 percent per year. It is…

A: A fox population in a certain region has an annual growth rate  percent per year.It is estimated…

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Q: Calculate: S √x + 2 dx The solution to any indefinite integral of the type given above will always…

A: The given integral is 1/sqrt(x+2).

Q: Differentiate the function. =="(x) = g(x) = 2 2 – 6x + 15 = = - 5

A: To differentiate the following function.

Q: Solve e−x − sin π 2 x = 0 upto four decimal places, using the Bisection method.

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Q: Find the distance from the point to the given plane. (1, -9, 4), 3x + 2y + 5z = 5

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Q: Consider the function f whose domain is included in [3,24] for which we have the sketch of y = f(x)…

A: According to guidelines,  I can answer one question and three subparts of a question. Since part 3…

Q: Find the limit. (If the limit is infinite, enter 'co' or '-00', as appropriate. lim v 3

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Q: Are the following functions inverse?

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Q: 6. Find the lim (x²-3)³ (x³ + 2)²x

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Q: Evaluate lim h→0 1 2 3(x+h) ² h 1 3x²

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Q: For the function f whose graph is shown, state the following. (If the limit is infinite, enter 'co'…

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Q: Use the Comparison Test or Limit Comparison Test to determine if the series converges. n²-7 n6 +6…

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Q: (a) lim #→∞ (b) lim H118 3 ex 8 D - || 3 ex 8 = [NOTE: If needed, enter oo for ∞o and -oo for -∞.]

A: To find the limits of the functions.

Q: Video Example < Sketch the graph of y = (x − 3)²(x + 1)³(x − 1) by finding its intercepts and its…

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Q: Question What value(s) of d are an appropriate choice when proving the following limit? lim (8x1) =…

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Q: Find the distance (d) from the point (-4,-1,6) to the plane 2x-3y-4z=17.

A: point (-4,-1,6) and plane 2x-3y-4z=17.

Q: A bicyclist is riding on a path modeled by the function f(x) = 0.09x, where x and f(x) are measured…

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Q: To determine whether the series p-series P = n=1 n=1 n=1 What is the conclusion of the comparison…

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Q: Find an equation of the tangent line to the graph of y = B(x) at x = 18 if B(18) = 0 and B'(18) = -…

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Q: The height of a triangle is increasing at a rate of 9 [cm/min] and its area at a rate of 10…

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Q: Solve the following linear system of equations by Cramer's Rule. 2x1x2 + 3x3 = 20 -X₁ + 3x₂ + 4x3 =…

A: The equations can be expressed as2x1−x2+3x3−20=0x1−3x2−4x3+15=02x1−x2+2x3−15=0

Q: Differentiate the function. 7 +7 11 y = Sex q

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Q: Find all real solutions of the equation. (Enter your answers as a comma-separated list. If there is…

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Q: Find the limit. lim X-4 sin(x-4) + x - 20

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