Question 7 of 10 Evaluate lim 2-2 0 x-2 5x-2-√√/2x+4 / Ə

Q: Use polynomial division to express the following rational functions as a quotient plus a rational…

A: We can find the answer as below.

Q: Use the four-step process to find f'(x), and then find f'(1), f'(2), and f'(3). f(x) = 4+7√√x f'(x)…

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Q: A light hangs 15 feet directly above a straight walk on which a man 6 feet tall is walking. How fast…

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Q: Evaluate the integral [x Select one: O Inx+C O O 3 O None of them O O - 3 X 3 xả ln xdx Inx-+C 3 с 3…

A: Here is the solution:

Q: Let y= 3x2 +7x+4. If Δx=0.4 at x=2, use linear approximation to estimate ΔyΔy

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Q: 8. Find the limit (if it exists) of the sequence (x_n) where x_n= [1+(1/n)]^n.

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Q: Calculate S3, S4 and S5 and then find the sum of the following telescoping series. S = - Σ( 41-4₂)…

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Q: nd the centroid of the region cut from the first quadrant by the circle x +y = 121. e coordinates of…

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Q: For f(x) = 3x4 - 6x² + 1 find the following. (A) f'(x) (B) The slope of the graph of f at x = -3 (C)…

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Q: Question 2 A₁ 10 Rope A2 A3 10 Barn A₂ A calf is tethered to one corner of a barn with a rope 90…

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Q: en f(x) = (4x + 1)² ' g the chain rule? what is the first step to find f'(x) Find the derivative of…

A: We have to find out derivative using chain rule

Q: Find the surface integral of the field F(x,y,z)=9xi +9yj +9zk across the portion of the sphere x² +…

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Q: Consider the series + (-1)" n=1 n Which of the following statements is true? The series is not…

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Q: Use power series operations to find the Taylor series at x = 0 for the following function. cos²x…

A: Taylor series of function fx at a is defined as:…

Q: Which of the following is a vertical asymptote of the graph of f (x) = 0x=13 y = 9 O O x=9 O U || 3…

A: Vertical asymptotes : It occurs where the denominator of a rational function approaches zero.

Q: 4. Get the exact a. dy = cos 2x dz differentials of y = (sin 2)² b. dy=sin 2z dz dy = sin 2x d.…

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Q: Use the given conditions to find the values of all six trigonometric functions. (If an answer is…

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Q: -21x Use substitution to find the Taylor series at x = 0 of the function e What is the general…

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Q: Find the indicated quantities for f(x) = 2x². (A) The slope of the secant line through the points…

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Q: A car sharing service offers a membership plan with a $40 per month fee that includes 10 hours of…

A: Cost of membership plan = $40 Let No.of driving hours = x

Q: Given: f(x) = 02 01/201 O 3 4x + 1 if a . I→(1/2)*

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Q: If f(x) = x¹ +4, g(x) = x − 2, h(x) = √√√x, then fogoh(x)=

A: This question is based on function.

Q: Find the general solution of the following differential equation. 121y" – 4y = 0 NOTE: Use c₁ and c₂…

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Q: Find dx О А. О в. 0 с. 16 X * - *$*). - X -20%√/x 16 4 X x5 55/4 3 5 16 OD. 3 х

A: Derivative  of [4/x4 -4 5sqrt(x)].

Q: Let f(x) = 1 x² - 16 Where does f(x) go as approaches 4 from the left?

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Q: Find the area inside one loop of the lemniscate r² = 2 sin 20. The area inside one loop of the…

A: Area of a closed region in polar coordinate is given by A=∬rdrdθ see below the answer and…

Q: Find the area of the region shared by the cardioids r = 2(1 + cos 0) and r = 2(1 - cos 0). The area…

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Q: For the given functions f(x) (1) (fog)(x) = (2) (gof)(x) = (3) (ƒ ○ f)(x) = (4) (gog)(x) = = 8x + 5,…

A: Let's find all given function.

Q: Show that the differential form in the integral is exact. Then evaluate the integral. (1,2,3)…

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Q: What is lim O -∞ 0 1 2 O +∞ x^x + x^ I 2-700x + √x-2x√x²

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Q: What is the slope of the tangent line to the graph of x^2 - xy + 3y^2 -2x + 4y = 17 at (5,1)

A: We have to find the slope of the tangent line to the graph of x2 - xy + 3y2 - 2x + 4y = 17 at (5, 1)…

Q: sin a Given: f(x) 2x ' k, { if x #0 if x = 0 What should be the value of k so that f is continuous…

A: This question can be solved using the concept of continuity of a function at a given point.

Q: Given the integral below, find the best lower and upper bounds for F that the comparison theorem can…

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Q: Problem #3: Find the following derivative (assuming that r(t) is differentiable). Problem #3: [r"(t)…

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Q: 2 the integra 5.° 0 2e sin 0 de using

A: The given integral is 2e-thetasin(theta) , mlimit from 0 to infinity.

Q: Find the areas of the regions enclosed by the following curves. (a) r = 1+2cosł

A: Given curve, r=1+2cos(θ) For range let r=1+2cos(θ)=02cos(θ)=-1cos(θ)=-12⇒θ=2π3

Q: 3. a. -2 s = cos ¹(sin z) b. 1 C. -1 d. 2

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Q: of the following indicates that the graph of the function f(z) has a horizontal asymptote th(") and…

A: The line y=2 is horizontal asymptote of the graph of f(x) if      x>Infity Lim f(x) = 2 or…

Q: The integral is improper. Select one: O True O False S 1 x - 1 dx

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Q: Fill in the blanks Enter intercepts as ordered pairs, aka points. Then Graph the parabola given in…

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Q: (4,0,2) S sin y cos x dx + cos y sin x dy + 3 dz (1,0,0)

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Q: CH 10.3 Class Expresse II Use the integral test 2° Σ 3+1 Convergent is to determine whether or…

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Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

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Q: 1. 2. Find the equilibrium point for the supply and demand functions below. Enter your answer as an…

A: The equilibrium point where the supply and demand function are equal . Note : As per our Guidelines…

Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

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Q: Given the graph below, what is the lim f(x)? x-1+ +8 02 1 -10 -5 does not exist 10 -5- -5- -10 10

A: Using the concept of right hand limit

Q: 10. Find the limit (if it exists) of the sequence (x_n) where x_n= cos(n)/n.

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: (iv) Find the work done by the force field F(x, y) = x²i+ye¹j on a particle that moves along the…

A: We have to find the work done by the force using line integral

Q: Compute the first four partial sums S₁, an = n S₁ = 1 S₂ S3 S4 = II = = .../ S4 for the series…

A: Let's find partial sum.

Q: Use the trigonometric substitution to write the algebraic equation as a trigonometric equation of 8,…

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