Set up the definite integral required to find the area of the region between the graph of y = x² – 20 and y = 2x – 5. dx

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A: Let us construct the Lagrangian function, L(x,y,z)= 4x+2y+z+λ(x2+y+z2-1), λ is a constant. To get ex...

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A: Concept -we have a given two plane and perpendicular to x axis from x=0 to x=7 , We have to find sol...

Q: Differential equation dy - 3x Initial conditions y=4 when x=9 1. dx %3D

A: Note: - “Since you have asked multiple questions, we will solve the first question for you. If you w...

Q: Given that 0 = 1, which of the following shows that sin@csce = 1? ) (1/2)(2) = 1 O (N2/2)(N2) = 1 O ...

A: 3rd option is correct...for detail go through the solution

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Q: Find the volume of the solid generated by revolving the shaded region about the given axis. About th...

A: Here, we need to find the volume of the solid generated by revolving the shaded region about the y -...

Q: Scos"x - sin"x) dx X.

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Q: 5. Let a = (-2, 3, 5) and b = (4, 6,-1) define the sides of a parallelogram as shown below. Dotormin...

A: Area of parallelogram

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Q: Given w = xysin( z²), x = s-t, y= s2, z = t². Use the Chain Rule to find 2.

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Q: sinh e Incot3x h- dx St 1+9x²

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Q: Let f(r) be the function 1 Then the quotient I +7 f(7+ h) – f(7) -1 can be simplified to for: ah + b...

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Q: lim 2tan (2x) 3n 4

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Q: 17. The graph of the function fon the interval -4 sxs 7 consists of three line segments and two semi...

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Q: The integrals can help us to find the area under the curve. Select one: OTrue O False

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Q: The first federal minimum wage was established in 1938 at $0.25 per hour. Since then, the hourly fed...

A: This question can be solved by applying the formula of average growth rate.

Q: 2. S dy 3ylny/9ln²y-25

A: To evaluate the integral: I=∫dy3y ln y9ln2y-25...(1)

Q: • Enter your ten data points in the chart below: Price ($/lbs) Quantity (Ibs) 3.467 10.000 3.555 9.8...

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Q: The graph of a function f that satisfies the hypothesis of the Mean Value Theorem is shown. a) The v...

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Q: hree different forces act on an object. They are: 1 ind the net force Fnet on the object (the sum...

A: Given query is to find the indicated vectors.

Q: The limit below represents the derivative of some function f(x) at some number a. 10 sin(2 + h) – 10...

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Q: Consider the function. f(x) = -2x3- 12r2 - 24x 15 Step 2 of 2: Determine the open intervals on which...

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Q: What is the area of the shaded region? y = y = -2x*

A: We will take difference of both curves to find the area using integration.

Q: For the following functions y = f (x), find f ′ (a). f (x) = 3x2 − x + 2,      a = 1

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Q: Find f'(-4) if f(x) = 4x. 3 f'(- 4) = (Simplify your answer. Type an integer or a fraction.) Туре

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Q: tan (x) + 1 dx =?

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Q: Write the vector shown below as a combination of vectors i and i shown above Vector = Note: In both ...

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Q: Which of the following series converge absolutely? a. (-1)" Σ n3 n=1 n=1 00 C. (-1)" Σ Vn n=1 b.

A: To find the Absolute Convergence of the given series.  

Q: Solve the inequality involving absolute value. Please explain. |x- 2| + 6 ≥ 12

A: Given query is to find solution of the inequality.

Q: 1 6. S -dx (x+1)(x²+1)' 2x+1 7. S dx (x+1)(x²+2)

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Q: Find the lenath of the Ceirve, 4=3x² ffrom x=O to x=5

A: Given query is to find the length of the curve for the given interval.

Q: Find the areaof the shaded regian of the fing. shown below. y =1+ Area: -x=1 dA=d Xdy *Horizantal m ...

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Q: Suppose three stars lie on the same line. The unit used in astronomy to describe the mass of stars i...

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Q: Question 8 Which of the following is NOT EQUAL to the given integral. tanx There is no correct answe...

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Q: Let f(x) = V43 – ¤ %3D The slope of the tangent line to the graph of f(x) at the point (7, 6) is The...

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Q: Which of the following series are alternating series? (Hint: It may be helpful to calculate the firs...

A: Let's find. 

Q: In(n) Σ

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Q: de 20. J 90² +120 +9 (3y– 2)cy 24. Jy² +2y+17

A: To evaluate the given integrals.

Q: 10) 3 (sin y-cos y)*dy COS COS Y

A: A detailed solution is given below

Q: Evaluate the integral using formula 34 (from the 1-page differentiation & integration formula) by le...

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Q: gles WS1 (9.6A) Use the information given about the angle 6, 0ses 2n, to find the exact value of: a....

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Q: 1 Draw the region over which we are integrating, change the order of integration (that is, write thi...

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Q: Find the slope of the tangent line to the graph of the given function at the given value of x. Find ...

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Q: A particle is moving in the velocity of v(t) = . Find the torsion of the particle's movement. Leave ...

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Q: B. On what intervals is g(x) = -17-15 243 C. What type of discontinuity is exhibited by r(x) = ?

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Q: Evaluate the integral. sec3xdx A In sec3x+ tan3x+c There is no correct answer from the given choices...

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Q: Below is the graph of f(x)= -x + 5x +6. C 1. B. 4. D E a) Find the co ordinates of all 1abeled point...

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