Find the area enclosed by the line x = y and the parabola 4x + y² = 12.

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Q: A man wishes to use 155 feet of fencing to enclose a rectangular garden. Determine the maximum…

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Q: 6 6 Suppose f(x) dx = 9 and f g(x) dx = −8. eff (2) d +¡¸g(= -5 -5 6 Evaluate (-2 f(x) + 2 g(x)) dr.…

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Q: Find the coordinate of the point P(x,-3), the unit circle using the fact that P lies on using in the…

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Q: Consider the indefinite integral 2³ · √zª + 9 dr: This can be transformed into a basic integral by…

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Q: Find the area of the largest rectangle that can be bounded by the x-axis and the parabola y=a-bx2,…

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Q: (2x + 7) (z² + 7x + 7)*¹dx by making the substitution u = x² + 7x + 7. + C NOTE: Your answer should…

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Q: if(x- (x + 2)(x − 6)dx Find + C Question Help: Video Submit Question Jump to Answer Message…

A: We have to slove above question

Q: given f(x) = x^3 - 6x^2 - x + 3 and g(x) = x + 2 a. find the remainder when f(x) is divided the…

A: Since you have asked multiple a question with multiple parts in a single request we would be…

Q: Suppose f'(9) = 7 and g'(9) = 9. Find h'(9) where h(x) = 3f(x) + 2g(x) + 4. h'(9)=

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Q: Two posts, one 4 meters and the other 7 meters high, are 7 meters horizontally apart. If the posts…

A: We have to find the horizontal distance in meters of the stake from the first post to use the…

Q: 1. A water balloon is tossed in the air from a window. The balloon's height in meters at timer in…

A: We have to graph the function and find average rate of change.

Q: •πT (2sinx + 3cosx + 1)dx

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Q: 6. (y-x + xycotx) dx + xdy = 0

A: Note: Since, the student has mentioned to solve question no. 6, so we are solving according to…

Q: Use the integration table to find the indefinite integral. (Use C for the constant of integration.…

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Q: Find the area of the region bounded by y = x² and y = 2x using horizontal strips and vertical…

A: We have to find the area of the region.

Q: Find the sum of the first 14 terms of the geometric sequence shown below. 3, 12, 48, 192, ... The…

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Q: Sin (12) २ गठ }}

A: Given expression is sin-1-22   Applying the property of inverse trigonometric functions:…

Q: Find the approximate increase by the use of differentials, in the volume of the sphere if the radius…

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Q: A fisherman on a wharf 1.7 meters above the level of still water is pulling a rope tied to a boat at…

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Q: Determine the radius and interval of convergence of the following power series. [k²x²k k! The radius…

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Q: Christy plans to paint both sides of a fence whose base is in the xy-plane with the shape of…

A: Christy plans to paint both sides of fence

Q: Consider the function y = (ex+b)x. Which of the following is true? The function is increasing in its…

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Q: Evaluate. e13z (e13x + 5)4 (Note that the constant of integration is already included) dx = +C…

A: ∫un du =un+1n+1+C

Q: Consider the following parametric curve. Answer parts a and b. x = 5+2t, y=-3-6t; t = 3 dy a.…

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Q: Find the values of p for which the series is convergent. R=2 (-1)" (In(n))

A: The given series ∑n=2∞-1nlnn4p. We have to find the value of p for the series convergent.

Q: (7 points) Consider the region bounded by the curves x = y²-3 and x = y +1 shown below. Set up an…

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Q: 11. Find the measure of the angle between vector and in both radians and degrees.

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Q: (sin20 - 2pcos)d0 = 2dp

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Q: The nth term of a sequence is given. n-1 -2-(--/-)² - ¹ an = (a) Find the first five terms of the…

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Q: 1.) Graph y = 2sin(x) on the interval -2T ≤x≤ 2T. Be sure to clearly identify any maximum points,…

A: The given function is: y=2 sin(x) ;              -2π≤x≤2π

Q: 9. Simplify the following expressions. Give exact answers (no decimals). 1 √10 (a) log (b) log4…

A: To simplify the given expression

Q: (8-10) Find the volume generated when the area bounded by given curves is resolved about the given…

A: As per Bartleby guidelines we only give first question answers. Please repost for other parts. Let's…

Q: Find the linearization of the function f(x) = x² at x = 1. L(x) = Using this linearlization, f…

A: Given,            fx=x4 , x=1To find : Find the linearization of the given function.We know that,…

Q: Solve the following maximization problem graphically. Subject to: P(x, y) = 38x6y + 14 x + y ≤ 10 2x…

A: To solve the following maximization problem graphically.Px, y=38x-6y+14 subject to:…

Q: b- day-22 dx3 2022 - 2 +2y = 3ex d²y dx

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Q: Consider the initial value problem for function y given by, y" - 4y + 13 y = −3√(t-1), (a) Find the…

A: The given differential equation is:y''-4y'+13y=-3δ(t-1),       y(0)=0,   y'(0)=0

Q: A ladder of length 5 meters is leaning against a vertical wall. Due to the smoothness of the ground,…

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Q: Convert the rectangular coordinate point (2,-2) to polar coordinate.

A: To convert into polar coordinates

Q: Determine whether the improper integral converges or diverges, and if it converges, find its value.…

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Q: . nx dy dx + 2y = xyn+1

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Q: Write the first five terms of the geometric sequence whose first term is 2, and whose common ratio…

A: Find the first five term

Q: A: Solve d²y dx² + y = sinx a-

A: Let's solve given differential equation.

Q: xy' + y = x² - 3x

A: xy'+y= x4-3x

Q: You need to purchase a cover for this pool. A company sells covers for $2.25 per square foot. Based…

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Q: For what value of k will the function f(x) => =X k - X have a relative maximum at x = -1?

A: To determine the value of k for which the function fx=x-kx have a relativemaximum at x=-1.

Q: The function f(x) = = f(x) = Σ²₂x¹. n=0 Find the specified coefficients in the power series. C2 = C3…

A: We have to find the Region of the convergence of the above equation.

Q: Use linear approximation, i.e. the tangent line, to approximate √25.1 as follows: Let f(x)=√x. Find…

A: Given function:- fx=x