(8) Find the volume of the solid obtained by rotating the region bounded by y = 1+ secx, y = 3, about the line y = 1. Draw an illustration.

Q: Find the displacement of an object on the interval 1 ≤ t ≤ 6 if its velocity is shown. 8.5 O 10.5…

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Q: What is the area of the integral of f(x) = 2x + 4 within th 0987 65 +3. 10 9- 8- 5-

A: application of integration

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A: Topic:- application of integration

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A: Here we have to find the limit in step 4.

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Q: 4). Write the first-order differential equation in standard form. (Use yp for y'.) y' = x9y +…

A: Solution is given below:

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A: Recall: Arithmetic progression

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Q: TT secx dx cot 3x

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Q: A region bounded by f(y) √y + 1, y = 1, y = 4, and x = 1 is shown below. Find the volume of the…

A: The region is bounded by the curves fy=y+1, y=1, y=4 and x=1 we have to find the volume of the solid…

Q: 7. 8. I. lim f(x) = -0. 8118 II. lim f(x) = ∞0. 818 I. f is continuous at x = 2. II. f is continuous…

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Q: x-intercept =

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Q: Which of the following graphs is the slope field for dx 12 -3-211. s 2 13 US 111-2-/35 1112 111²-111…

A: Here we have to solve the given differential equation and plot the solution

Q: Solve y(1): dy/dt + x = 1; dx/dt -y + 4et = 0; x(0)=0 and y(0)=0. 6.33 4.89 O 7.10 3.51 O 1.80

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Q: Question 6 of 11 (Use symbolic notation and fractions where needed.) minimum: Incorrect maximum:…

A: Given: the graph is given then we have to find the value of the value of the A

Q: For items 11-25 consider g(x) as defined below. g(x) = 11. I. lim g(x) does not exist. 21-14 II. lim…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Use Theorem 7.4.1. THEOREM 7.4.1 Derivatives of Transforms If F(s) = £{f(t)} and n = 1, 2, 3, . . .,…

A: I have stated the used formulas in the solution

Q: (x) = (x^2)−16 / (x^2)+2x−8 . Find any holes(which are points) and V.A.

A: We have to find out hole

Q: 24. 25. For numbers 24-30, consider f(x) = -x +8x³ - 18x² + 10. Read the following statements…

A: Here we have to use the concept of derivatives

Q: Evaluate F-dr where C is represented by r(t). C F(x, y)=xyi+yj C: r(t)=28ti+tj, 0≤t≤7

A: To find ∫CF·dr

Q: D. Solve the given differential equation by variations of parameters. 1. y" + y = cos² 2. y" + 2y +…

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Q: 2. Which equation models a quadratic relation? Oy = 2x²+1 Oy: O y = x -3z y = 3x+1

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Q: Find an angle that makes the statement true. Use the Cofunction Identity. cot(50 – 32˚) = tan(0…

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Q: S A. sinxcosxdx √esc²x-1 2 B. 7 COS X 7 5 COS X 5 5 cos³x x + C X 5 7 COS X 7 +C C. D. sin7 x 7 5…

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Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line. 16x2 +…

A: To find the points at which the graph of the equation has  a vertical or horizontal tangent…

Q: The sequence {2} is defined by letting a₁ = 2 and successive terms are given by the recurrence…

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Q: Rewrite the integral using substitution: 3 ₁³ (x² cos(4x³)) dx

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Q: ?(x) = (x^2)−16 / (x^2)+2x−8 f(x) in lowest terms

A: Topic - functions

Q: If the number of sales is inversely proportional to the price of a product, write the differential…

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Q: In a typical diabetic, the level of insulin might be given by the following function: if 0≤ t ≤4 if…

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Q: In the indefinite Integral [In(cosh x + e*) A None of the given choices B D sinh x te cosh x + et…

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Q: what theorem was used? i cant read it.

A: Let's solve.

Q: dx √e²x -9 A. 3 sec¹e* +C S B. 1 sec ¹ (= ² + c = c.₁ /sec²¹ e ² + C C. ex 0-¹ (+ ²) + C et с 3 D.…

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Q: 4x A. dx - 3 4 4x A=²³cof=1¹³) + C__ _B. — co(=^^) + C +C 4 4x c. ²2 cof=14) + C 4x D.= co(-1) +

A:

Q: Find the area between the graphs x = X A = sin (5y) and x = 1 - cos (5y) over the interval - ≤ y ≤…

A: The objective of the question is determine the area of the given graph.

Q: Identify the rational function with smallest degree in the numerator and denominator whose graph…

A: To identify the rational function with smallest degree in the numerator and denominator whose graph…

Q: 9. The marginal cost of producing a tablet computers is C'(x)= 1200.06x +0.00001.x² (a) What is the…

A: The marginal cost of producing 'x' tablet computers is C'x=120-0.06x+0.00001x2 a To determine the…

Q: Use the product rule to find the derivative of y=(5x² − 4)"^(2x* + 7)³³ NOT Simplify after…

A: This question is related to differentiation, We will solve it using given information.

Q: Please answer completely. Step by step. Evaluate. 2 [² (4-x²)³/2x² dx

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Q: Use cylindrical coordinates to find the volume of the solid bounded above by z = 3x and below by z =…

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Q: The graph shown is f(x) = In (x + 2). What is the integral function g(t) that defines the area under…

A: Given that, the function is fx=lnx+2. Note that, the area under the curve fx between a and b is…

Q: Find the angle of least positive measure coterminal with the given angl 869°

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Q: The graph shown below is f(x) = 3x - 2. X If g(x) = f(t) dt, what is g'(-1)? f*

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: A region bounded by f(x) = x, y = 0, x = 1, and x = 4 is shown below. Find the volume of the solid…

A: The objective is to find the volume of the solid formed by revolving  the region about the x-axis.