n" n=

Q: Theorem 1 states that if lim x→∞ f (x) = L, then the sequence an = f (n) converges and lim n→∞ an = ...

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Q: Compute T3 for f (x) =√x centered at a = 1. Then use a plot of the error |f (x) − T3(x)| to find a v...

A: n fn(x) fn(x=1) 0 √x 1 1 1/2√x 1/2 2 -1/(4x3/2) -1/4 3 3/(8x5/2) 3/8

Q: Can i get help with this problem step by step

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Q: Solve the differential equation y'=(3x+3y-1)^2. Use the substitution u=3x+3y-1

A: The given differential equation is 

Q: The graph of the function H(x) is shown below. Use the graph to answer the following. ГУ х, (a) What...

A: The scale of the given graph is x = 1 units and y = 1 units.Mark the numbers on x-axis and y-axis.

Q: Graph the function. Then use the derivative and algebra to find the location of the critical points ...

A: We will use a graphing calculator to graph the function.  

Q: 27. Suppose that the number of a certain type of computer that can be sold when its price is P (in d...

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Q: 33. Use the addition formula to compute cos (4 + 4) exactly.

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Q: Given f(x) = x4 − 2x2 . Find the intervals of increase or decrease.

A: We find the critical points first  to find critical points we need f'(x) Then set f'(x)=0 and solve...

Q: Three survey markers are situated on the vertices of an equilateral triangle with a side length of 8...

A: Area of Equilateral Triangle (A) = (√3/4)a² square units Where a = length of sides. 

Q: use thE formula for the sum of a geometric series to find the sum or state that the series diverges

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Q: Determine if the integral converges or diverges by comparison.

A: We know that sinx lies between -1 to 1. So, Using this we get:  

Q: 57. A narrow, negatively charged ring of radius R exerts a force on a positively charged particle P ...

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Q: 59. Referring to Figure 14, let a be the length of the chord AC of angle 0 of the unit circle. Deriv...

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Q: Can i get help with this problem step by step

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Q: Differentiate each of the following functions. Please simplify your solutuin, when possible. a) y=ln...

A: Dear students,  Since you have asked multiple questions in a single request, we will be answering on...

Q: Write as the natural log of a single expression:(a) 2 ln 5 + 3 ln 4 (b) 5 ln(x1/2) + ln(9x)

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Q: Evaluate the integral, if possible. (Hint: use the table of integrals and substitution)

A: Use the properties of indefinite integral to simplify.Let w = x^4.Calculate dw and simplify using su...

Q: Problem 5 Assume 0<a<b, and compute the volume of the solid obtained by revolving the region b...

A: We graph the situation roughly  The shaded region is rotating about the y axis.

Q: Evaluate the integral. (Hint: use trigonometric integration formula)

A: Let x=5secz  

Q: Find the minimum distance from the point (1, 1, 11) to the paraboloid given by the equation z = x² +...

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Q: Find T2use a calculator to compute the error |f (x) − T2(x)| for the given values of a and x. y = ex...

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Q: Give an example that: the f has a local minimum but not an absolute minimum.

A:   Let us consider the graph of the function f(x) = x |x-5|.  

Q: Find the inverse of y = e2x−3.

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Q: In Exercises 121–124, determine if the sequence is monotonic and if it is bounded. (2n + 3)! (n + 1)...

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Q: A kite 100ft  above the ground moves horizontally at a speed of 8ft/s  At what rate is the angle bet...

A: Let x= horizontal distance L= length of string,  Then a rough sketch of the problem is as follows:

Q: In Exercises 1–6, find a formula for the nth partial sum of each series and use it to find the serie...

A: (WHERE Sn is the n the partial sum)

Q: 17. Which of the graphs in Figure 20 is the graph of a function satisfying f-1 = f? %3D (A) (B) (C) ...

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Q: Use the Theorem of Pappus to find the volume of the solid of revolution obtained by rotating the reg...

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Q: 47. Let Tn be the Taylor polynomial for f(x) = In x at a = 1, and let c > 1. Show that |c – 1|a+1 n ...

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Q: How do I do this problem? Is what I'm doing correct?

A: Overall approach: Define the revenue function R (x) Obtain the profit function P(x) Obtain dP / dx ...

Q: Use the new derivative shorteut formulas below to calculate the derivatives of the following functio...

A: The given shortcut derivative formulas are,

Q: Evaluate the integral. (Hint: Use the Table of Integrals and evaluate the values of the trigonometri...

A: To determine the value of the integral.  

Q: #49A and #49B

A: Given, Maria invests $20,000 in IRA account whose value after t years is modeled by, V(t) = 20,000e0...

Q: For the composite function, identify an inside function and an outside function and write the deriva...

A: In g(h(x)) h(x) is the inner function and g(h) is the outer function. Answer:  

Q: 00 Let S= an. If the partial sums SN are increasing, then (choose the correct conclusion): n=1 an} i...

A: Consider the series the partial sums   are increasing . 

Q: 11. Compute the total surface area of the coin obtained by rotating the region in Figure 1 about the...

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Q: Can i get help with this problem step by step

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Q: Can i get help with this problem step by step

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Q: calculate the Taylor polynomials T2 and T3 centered at x = a for the given function and value of a. ...

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Q: Applying the Integral Test Use the Integral Test to determine if the series in Exercises 1–12 con- v...

A: (Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new que...

Q: Sn/2", l1/2". if n is a prime number otherwise. Let an Does Ea, converge? Give reasons for your answ...

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Q: The last two sub parts , minimum and maximum

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Q: 17. Show that if tan e = c and 0 < e <7/2, then cos e = 1//1+c2. Hint: Draw a right triangle whose o...

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Q: A company produces and sells 10,125 desks each year. Each production run has a fixed cost of $500 an...

A: Let the optimal production per year be x units.Therefore, the yearly storing cost = (Yearly storing ...

Q: 29. Show that if |a – 5| < } and |b – 8| <, then |(a + b) – 13| < 1. Hint: Use the triangle inequali...

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Q: Figure 15(A) shows a ramp inclined at 30° leading into a swimming pool. Calculate the fluid force on...

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Q: 283 Combining Functions Section 3.6 11. 12. 4. 4 2 -2 -2 -4 -4 -4 -2 0 2 4 -4 -2 2 4 13. 14. 4 4 0+ ...

A: Hey, since there are multiple questions posted, we will answer first question. If you want any speci...

Q: A. absolutely convergent B. conditionally convergent C. divergent

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Q: 1. Let f(x) = 5x². Show that f(3 + h) = 5h? + 30h + 45. Then show that f (3 + h) – f(3) = 5h + 30 an...

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