Find the area of the region included between the parabolas 4(n + 1)(r +n+ 1), and v² = 4(p² + 1)(p² + 1 – x) - %3D

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A: Given:   Angle ( θ ) = 2.5 radians     Arc length (S) = 15 inches  

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A: Topic:- application of derivatives

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A: Given query is to find the derivative of the expression.

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Q: Find the unit vector in the direction opposite to v = (1, 3).

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Q: Determine which of the vectors is (are) parallel to z. Use a graphing utility to confirm your result...

A: Given,            The vector z is z=<3,2,-7>.To find : Determine which of the vectors is are p...

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

Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x2 + 4 (a) Find the in...

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Q: 25 The function f(x) is represented in the following table. Give the best estimate for f(x)dx 10 X 1...

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A: We can find the centroid using the required formula as below

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Q: Let f(x, y) = 4x² + y². Using Lagrange Multipliers, how many critical points are there for f subject...

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Q: Area of Surface of Revolution Find the area of the surface of revolution generated when the given c...

A: Surface of revolution

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Q: 3. Consider the ellipsoid x2 + 4y2 + z? = 18. Find the acute angle that the tangent plane at the poi...

A: Let us consider two surfaces f(x,y,z)=0 and g(x,y,z)=0. Now let n1 and n2 be two normal vectors on t...

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A: Please see the answer below.

Q: ALC11 11.1.018. MY NOTES ASK YOUR TEACHE iven. Find the terminal point. 6)

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A: First written cot(x) into cosine and sine form and then by substitution find the integral.

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Q: A person walking along a straight path has her velocity in miles per hour at time t given by the fun...

A: Given: vt=0.25t3-1.5t2+3t+0.25,                     0≤t≤2 v(t) is the velocity in miles per hour. t ...

Q: 2 + 5 sede) ( *)) d. /2+5 sed*). 3x 3x 4. 2 + 5 sec e tan

A: 4). Given: I=∫e3x2+5sece3xtane3xdx   ...1   As we know that; ∫secxtanxdx=secx+C  

Q: Consider the following. f(x) = x* - 4x3 + 4x² Find f'(x). f'(x) = Compare the graphs of f and f' and...

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Q: Obtain the general solution by separating variables. SHOW YOUR SOLUTIONS.  (1−x)y′= ?2

A: (1 - x)y' = 2 y' = 2/(1 - x) dy/dx = [2/(1 - x)] dy = [2/(1 - x)] dx Integrating : y = 2 ln(1 - x) +...

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A: I have stated the used formulas in the solution

Q: Find the area of the region bounded by the parabola y = 2x2, the tangent line to the parabola at (3,...

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Q: Which of the following correctly changes the integral rdrde from polar coordinates to rectangular co...

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Q: Evaluate the integral. 3* dx 3* +4 Solution:

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Q: Directions: Find the limit of the following. 4х-5 3. lim X-3 \5x-1 4. lim (sin x)

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Q: b g(b) Use the Substitution Formula, f(g(x)) • gʻ(x) dx= || f(u) du where g(x)=u, to evaluate the fo...

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Q: Identify which among the numbers are odd-numbered integrals. 1. S21 cos 7x dx 2. S csc* dx 14. S dy ...

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Q: 4. Solve the linear system below w + x - 4z = -2 0.5w – 0.5x + 2y + 0.5z = –2 -3x + 0.5y + z = -5 4w...

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A: Derivative test for maxima and minima: A point x=a is said to be a critical point of a function y=f(...

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A: The given function,    hp=p-1p2+7

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