1118 f (x) Step 1 of 4: Determine f'(x) and f"(x). Answer f'(x) = f"(x) = = 1 9x² - 6 Keypad Keyboard Shortcuts

Q: Use Green's Theorem to evaluate the integral. Assume that the curve Cis oriented counterclockwise.…

A: Using greens theorem

Q: 12. A company has agreed to pay $4.2 million in 6 years to settle a lawsuit. How much must it invest…

A: Solution: Due Amount in 6 years Fv=$ 4.2 million annual rate =6%

Q: Question 7 Given the function f(x) = 8 +5x², calculate the following values: f(a)= f(a+h)- =…

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Q: HIY I+y+1 1. Let f(x, y) (a) f(2,1) (b) f(1,2) (c) f(a, a) (d) f(y + 1,y) Find:

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Q: 5. S COS X 2+3sinx dx

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Q: F. dr if Using any method, find the value of So F(x, y) = (6e + 3ye") i + (3eª + 6xe²) j and πt C:…

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Q: Use the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral for…

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Q: (D² – D − 2)y - COS X

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Q: The amount of trash, in tons per year, produced by a town has been growing linearly, and is…

A: Solution: Given the amount of trash in tons per year is given by P(t)=52+2t

Q: Determine whether the series is convergent or divergent. If the series is convergent determine the…

A: Given problem:-

Q: Write the given (total) area as an integral. * The area above the x-axis and below y = 4 - x^2 *…

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Q: Solve for the unknown sides of the given triangle. B b 3 Additional Materials C = 30°

A: Apply the trigonometric ratio

Q: a) y = (x + 1)(x-1)(x + 2), y X

A: Graph of the y=(x+1)(x-1)(x+2) is shown below

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim (√25x² 25x² + x - 5x -…

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Q: diverge

A: answer is in next step

Q: If f f(x) f(x) dx = 37 and [²9(x) d g(x) dx = 12, find a Read It Watch It Need Help? √ [2²F(x)…

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Q: Direction: Find the integral of the following functions: 1. (5 cos x + 7 sin x) dx 2. f(3tan² x +…

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Q: 22.f(x, y) = x²

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Q: 2. Evaluate the following (Express all answer in Rectangular Form): d. √9+ 2i e. 2¹ + ln(2 + i)

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Q: Match each of the Maclaurin series with correct function. (-1)22n2n ·Ë (2n)! n=0 2. Σ(-1)", n=0 1 1.…

A: Please see the answer below.

Q: Use logarithmic differentiation to find dy/dx. y = (4 + x)5/x dy dx II

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Q: Find all solutions to the equation. 4 cos 0 = -sin²0+4 Write your answer in radians in terms of ,…

A: cos2 θ +sin2 θ =1 Cosine function takes value in between -1 and 1.

Q: Finding Points of Inflection In Exercises 37-42, find any points of inflection and discuss the…

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Q: When records were first kept (t = 0), the population of a rural town was 230 people. During the…

A: Population model

Q: Question 3 Select all of the following tables which represent y as a function of a. I Y I x y I y…

A: Let's find.

Q: A fence must be built to enclose a rectangular area of 20,000 ft². Fencing material costs $3 per…

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Q: Consider the following function. f(x) = (8 - x)(x + 1)² (a) Find the critical numbers of f. (Enter…

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Q: 9 Determine the domain and range of (gof)(x) if f(x)=x²_9 and g(x) = x + 3. OD: (x E R) and R: (-∞,…

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Q: f(x) = 2x + 3 x 1 1 ; a = 1

A: limx→1+f(x)=limx→1+x2+2                =12+2=3limx→1+f(x)=3

Q: The smaller the curvature in the bend of a road, the faster a car can travel. Assume that the…

A: Given that the smaller the curvature in the bend of a road, the faster a car can travel.

Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

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Q: Find the limit. NOTE: Enter the answer using round brackets. t² +1 1 lim t +∞ (?, ?) 6t² + 7' 3t ||

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Q: Suppose that 3 ≤ f '(x) ≤ 5 for all values of x. What are the minimum and maximum possible values of…

A: Given problem:- Suppose that 3 ≤ f'(x)  ≤5 for all values of x. What are the minimum and maximum…

Q: If "6 fº 181 f(x) dx = 37 and 6 √° g(x g(x) dx = 12, find 6° 1² [3f(x) + 5g(x)] dx.

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Q: = ||r' (t) x r' (t)|| ||r' (t)||³ to find k(t). r(t) = 7 cos(9t)i + 7 sin(9t)j + tk Use the formula…

A: find curvature

Q: A "bead" is formed by removing a cylinder of radius r from the center of a sphere of radius R (see…

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Q: 64 Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

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Q: Graph the solution set. 9) y ≤ -2x + 5 3 y2x-2 -1086 ++ 2+ -10+

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Q: Q2):- Find Y[Z] of signal Y[n] (Cos wn). U[n]

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Q: Jc = − xj; P(−2, −4), Q(-2,-2)

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Q: Find the Taylor series for  f(x)  centered at the given value of a. [Assume that f has a power…

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Q: Finding the Area of a Region In Exercises 5-14, sketch the region bounded by the graphs of the…

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Q: Evaluate the limits of the following. State the theorem(s) used. x²³ +8 lim x+2 x+2

A: We can solve this as follows:

Q: HOW JIAY 13. SHOW ALL WORK () esantieroos eltigastsy et (0) tenib Find all solutions to the…

A: Please see the answer below.

Q: (D²+1)y= tan x

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Q: Evaluate fr.co x cos(x³) dx as an infinite series.

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Q: Solve the differential equation: (D41)y = 0

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Q: Consider the following function. f(x) = 4x2/3 Find f(-8) and f(8). f(-8) = f(8) = Find all values c…

A: Here, the given function is: f(x)=4-x23

Q: Given functions g(x)=√x+14 and f(x)=z-6, state the domains of the following functions using interval…

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Q: y" - y'-12y=6sin (2x)

A: Given problem:- Solve y'' -y' -12y= 6sin(2x)