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Q: Find all asymptotes of the graph of the function f(x) 16x² + 1 4x – 8

A: Plot the graph for f(x).

Q: A fence is to be built to enclose a rectangular area of 450 square feet. The fence along three sides...

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Q: cos (4x) dx 1+ sin? (4x)

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Q: company estimates that it will sell N(x) units of a product after spending x thousand dollars on adv...

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Q: A 5 foot girl is walking toward a 20-foot lamppost at the rate of 6 feet per second. How fast is the...

A:

Q: Find the Taylor polynomials po. P1, P2 and p3 for f(x) = at x = 1.

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Q: Please show step-by-step solution to the problem.

A: To find absolute maximum and minimu , first, we need to find critical points. These are the points a...

Q: Find the area of the region bounded by f(x) =x^3+ 1 and the x-axis on the interval [−1,5] ? Thank yo...

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Q: let h (z) =(arcsin(5z)+ln(4-z))^27. find h'(z)

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Q: Find the exact value of the expression. sec tan Select the correct choice and fill in any answer box...

A: The given function can be written as:

Q: show that the area An of an n-sided regular polygon in a circle of radius r is An = ((n.r.r)/2) sin(...

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Q: (4x³ + -- 7*)dx

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Q: Farmer Brown wants to fence in a rectangular plot in a large field, using a straight rock wall that ...

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Q: V(t)=2t^2-3t+1 When is V maximized?

A: We find the first and second derivatives of V using the power rule.

Q: If m(v) =ln(sin^2(v)+1), find m'(v)

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Q: cot(x) = cos (x)/sin(x) find deriviative cot (x)

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Q: Determine the end behavior of the following functions by evaluating the limits

A: From this limit, we know that when x approaches -infinity then y approaches +infinity. so, on the le...

Q: f(t) dt, where f is the function whose graph is shown. Jo Let g(x) = %3D y 25 (a) Evaluate g(0), g(5...

A: Given that Graph of function, f(t) is shown below To Evaluate:

Q: P(x) = 20x – 0.4x? – 280. (A) Find the exact profit from the sale of the 26th machine. Exact Profit ...

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Q: Find the area between the curves x² and 3x – 2

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Q: 14)

A: The sine function is a periodic function. Graph the given function in the polar coordinate. Evalua...

Q: Find the average rate of change for the function over the given interval. y= square root of 2x betw...

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Q: find directly the Laplace trans- forms of the functions described (by formula or graph) in Prob- lem...

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Q: An island is 6miles from the nearest point on a straight shoreline, that point is 15 miles from a p...

A: Let's try to understand what's going on here> Please see the diagram below: A is the location of ...

Q: A stone was dropped off a cliff and hit the ground with a speed of 144 ft/s. What is the height of t...

A: The equation of motion for the given problem under gravity is: v2 - u2 = 2gh ---> 1 v - Final Ve...

Q: 6.15 Find the Maclaurin series for f(x) = cos.x. Use the ratio test to show that the interval of con...

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Q: Find the following

A: To Determine: Find the definite integral.

Q: Suppose that lim 2f(x) + 3x – 15 = 5. Find lim f(x)

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Q: How fast is the distance

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Q: Vhat is the area between the following curve and the x-axis, over the interval: x E [-1.5,1.5] g(x) ...

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Q: Calculate the following derivative

A: f(x) = ln|(6x4 - 7)5(8 - 17x2)9| Let, (6x4 - 7)5(8 - 17x2)9 = z Hence, df/dx = (df/dz)(dz/dx)

Q: P(x) = 250 - 20. 0sx5 5000. (A) Find the maximum revenue. (B) Find the maximum profit, the productio...

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Q: find the areas of the regions enclosed by

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Q: area betweencurves y=(9/x)-1 and y=14/(x^2)

A: We first sketch the region using a graphing calculator. y=(9/x)-1 (blue) y=14/x2 (red) x is from 2...

Q: Determine a power series representation for the function. Determine its interval and radius of conve...

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Q: How do you answer this?

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Q: | g(x) dr = 15, find / [3f(x) + 5g(x)] dr. If f(x) dx = 28 and If %3D %3D

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Q: Problem 70

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Q: Find the exact value of the following expression. V3 Cos

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Q: evaluate the integrals

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Q: Find the exact length of the curvex = t^3 y = (3t^2) / 2 for 0 <= t <= sqrt(3)

A: Formula Used: To find the length of the curve,

Q: 7. Bertha owns a plot of land bounded by y = e^(0.5x), the x-axis, from x = 0 to x = 5. She decides ...

A: The area of the land is the area formed by the curve y, x axis, x = 0 and x = 5. Find the total area...

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) xp (x² + 5)2 х

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Q: Find the standard form of the equation of the parabola with the given characteristic(s) and vertex a...

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Q: Evaluate the following limit

A: On the graph we have the point (4,0) and the graph is continuous there.

Q: Picture Attached. Q1. a,b and c

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Q: Attached

A: We know that area of surface generated by revolving the curve y=f(x) from x=a to x=b , about x-axis ...

Q: Explain the mandatory conditions for the addition of two matrices?

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Q: evaluate

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Q: [2 0 2 10-8 |2. You are given a system |0 3 Show that the determinant of the coefficient matrix is n...

A: Given equation is