Find the center, foci, and vertices of the ellipse. Graph the equation. (x+5)² (y-4)² = 1 16 4 +

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Q: Find the area contained between the two curves y = 3x - x² and y=x+x². 1/3 sq. units 1/4 sq. units…

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Q: 7 13 8 a Find the area of the shaded region above.

A: Since you have asked multiple questions in a single request we would be answering only the first…

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Q: A(4) = A'(4) -

A: Integration gives area below curve area above x axis is positive area below x axis is negative A(4)…

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Q: 2. Find the Maclaurin series of f(x) = tanh

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

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Q: A boy is pushing a box with a force that can be described by the function: (x) = x³ - sin 2x + 1,…

A: A boy is pushing a box with a force that can be described by the function:fx=x3-sin 2x+1, where x is…

Q: Write TRUE or FALSE before each statement. Solve y dependent variable. differential equation.…

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Q: Find the volume of the region bounded above by the plane f(x,y) = 2x + 5y + 6 and below by the…

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Q: Use half angle formulas to fill in the blanks in the identity below: 1 (sin(8x)) = 1 COS |x)+cos((…

A: topic- trigonometric identities

Q: [*³- x³ − 2x² – 3x x + 2 dx

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Q: What is the average rate of change of y with respect to over the interval [3, 5] for the function…

A: topic- average rate of change of function average rate of change for linear equation is equal to its…

Q: 4. f(x) = 1-x 2x²-5x-3

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Q3: A. By power series, prove that: d 4 sinhx dx coshx

A: Explanation of the answer is as follows

Q: Determine the equation of the ellipse with center (7, 1), a focus at (2, 1), and a vertex at (-6,…

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Q: Carry out the indicated operations. Express your results in rectangular form for those cases in…

A: Carry out the indicated operations. Express your results in rectangular form for those cases in…

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A: Given,  x=ln(2t) and y=12t2

Q: The table shows values of a force function f(x) where x is measured in meters and f(x) in newtons.…

A: Here, the work done is given by: W=∫018f(x) dx

Q: 15. Si dt 1³ + 1² - 2t

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Q: Help please

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Q: Using Ratio Test the following series +∞ (n!)² Σ 3n n=1

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Q: find Sexcos'x dx by using integral by Parts.

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Q: Calculate the integral approximation S6 for 0 -1 4-² dx.

A: In this question we have to find the Integration.

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A: The rare of change of a function f(x) at x=c is f'(c)

Q: Evaluate the iterated integral. 40 (xªy-7xy) dy dx 0-4 40 jjov (xªy-7xy) dy dx = [ 0 - 4 (Type an…

A: The given integral,    ∫04∫-40x4y-7xydy dx

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Q: Find the general solution. ورم

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Q: Using the definition of the derivative, find f'(x). Then find f'(-3), f'(0), and f'(4) when the…

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Q: π I Find the volume of the region bounded above by the surface z = 7 sin x cos y and below by the…

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Q: A boy is pushing a box with a force that can be described by the function: (x) = x³ — sin 2x + 1,…

A: The answer is given below using the formula:  W = ∫abF(x) dx where W is work done and F(x) is force…

Q: 35. √2x³ = 9x³ - 3x + 1 x³ = x² dx

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Q: Consider the vector-valued function R(t) = {{ (a) Find the domain of R. (b) Show that is continuous…

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Q: Find the divergence of the following vector field: 0 O 2z O O F = (y, -x + z², 3x)

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Q: x2 Consider the ellipse + = 1. 62 In finding the area of this ellipse, use a horizontal element in…

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Q: [44 408]. -4 -18 Find the eigenvalues and eigenvectors for A = [64 The eigenvalue a + bi = has an…

A: Using Matrix operation

Q: 2 cosh x +losion2x = 5

A: I am attaching image so that you understand each and every step.

Q: If a parabola's focus is at (-2,5) and directrix is at y = -1, what is the vertex form of the…

A: The correct answer is option (2).

Q: • Jeze 39. et dt e²t + 3e¹ + 2

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Q: Consider the function. f(x) = Identify the domain off. (Give your answer as an interval in the form…

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Q: Estimate the slope of the tangent line to the curve at the given point (-0.5,4.998) on the graph to…

A: Given that,

Q: Given the graph which consists of lines and a semicircle determine ₂ f(x) dx (4,2) 2 3 4 5 -1 -1…

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Q: Solve - cos2 - sin²x = 1 on the interval 0 < x < 2T. O 3π 2' 2 O no solution O 0, T O 0, T, 2T

A: The given equation,    -cos2x-sin2x=1 on the interval 0≤x≤2π