Find the coordinates of the centroid of the solid generated when the smaller region bounded by x² + y² - 2ax = 0 and x + y = 2a is revolved about x = 0.

Q: or each function h(x), find two functions f(x) and g(x) such that h(x) = f(g(x)) a) h(x)=√x² + 3 b)…

A: Topic:- function

Q: Given the points A: (2,3,6) and B: (-3,-4,1), find the vector u = AB ū = < U

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

Q: Use a linearization to approximate tan(π/100).

A: This question can be solved using the concept of linear approximation.

Q: Q3) Given, u (x, y) = xy is harmonic, find a harmonic conjugate v(x, y), write u+iv as a function of…

A: As we know that for complex analysis z=u+iv   then u and v are conjugate to each other.Then by…

Q: || True False

A: Topic:- limits

Q: Find the limit or show that it does not exist. √x+3x² lim 818 4x - 1

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Q: cos-¹(2x+5), then dom(f) = = If f(x) = x+3 (A) (-3,-2) L (B) [-3, -2] (C) (-3, -2] (D) (-1,1) (E)…

A: Doamin of a function:- It the set of input values where the function at the values…

Q: If f(x) x²-4 x -4 x = In[sin x √x² - 4], what is f '(x)? + cot x cot x + tan x - tan x

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Q: [s sin(√x)dx

A:

Q: Find the volume of the given solid. Under the surface z = 1 + x²y2 and above the region enclosed by…

A: To find the volume of the given solid.

Q: Consider the function f(x): = 1 1-x²

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Q: Determine the critical point/s of f(x) = ln(x2 + 4x + 14) on [-4, 2]. ΟΧ -- -2 Οχ -3

A: Given, f(x)=ln(x2+4x+14) on [-4,2]

Q: 2.2 2.3 Determine whether the series below converges or diverges. Determine the first four terms in…

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Q: Evaluate using Partial Fraction Decomposition: S x2 (x+1)²(x-1) -dx

A: We know, ∫dxx-a=lnx-a, for any real number a ∫dxxn=x1-n1-n, for any real number n.

Q: Q2) Determine using Cauchy Riemann equations the function below is analytic or not? f(2)=x² +…

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Q: 2dx 2 2 cos x√ 4tanx - tan x S-

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Q: 2) Find the equation of the tangent to f(z) = 3re² when x = 1

A: A detailed solution is given below.

Q: What value(s) of 8 are an appropriate choice when proving the following limit? lim (4x - 2) = 6 x-2…

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Q: Find an equation for the line tangent to the graph of y = tan ¹ (2x) 2 1 What is the tangent line to…

A: As we know that; The slope of the tangent line to the given curve is equal to the first derivative…

Q: Consider the function f(t) = = -X 3-x (x − 3)² - if x 3

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Q: To estimate the height of a building, two students find the angle of elevation from a point (at…

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Q: Vectors [2, 5, a] and [-6, b, 9] are collinear. What is the value of ? a a) 5 b) -3 Oc) -5 d) 3

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Q: a-(-3,-5) and 6-(1,4). Representa + busing the parallelogram method. Use the Vector tool to draw the…

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Q: Complete the parametric equations for the line where the planes - 7x + y + 3z = 3 and 4x7y + z = 23…

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Q: If f(x) cos-¹(2x+5), then dom(f) = = x+3 (A) (-3,-2) (B) [-3, -2] C)(-3,-21

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Q: (b) Find d'y dx² where x + 2y = 1.

A: In this question, we want to differentiate the given expression two times.

Q: Find a cubic function y=ax³ + bx² +cx+d that has a local maximum value of 3 at -2 and a local…

A: According to our guideline the answer to answer only the first question if you want any particular…

Q: 1) a) Find all vectors such that X = b) Explain why there is no such that X =

A: Solution: a) let v = (a, b, c). Then

Q: Express the repeating decimal as a fraction. 0.789626262626... 0.789626262626... =

A:

Q: 3. a. b. Evaluate the following integrals 2dx dx cos²x√4 tanx - tan² x sin(√x)dx J I sin

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Q: find the points at which f has a local maximum or a local minimum

A: This question can be solved using the concept of maxima and minima.

Q: Assume that the number of bacteria R(t) (in millions) present in a certain culture at time t (in…

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Q: The area of the region that lies inside the cardioid curve r = cose + 1 and [(cose + 1)² = cos²0]de…

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Q: V X if x 3 Find each of the following limits, if they exist. If a limit does not exist, answer…

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Q: 2. The 2 vectors 4â + 3b and â - 2b are perpendicular. Find the angle between â and b if they are…

A: Given :two vectors :4a^+3b^a^-2b^they are perpendicular

Q: dr Suppose dx dt dy 4, = 3. Find given that r = dt dt x = 8 y = 2 Write your answer in exact form,…

A: Topic = Derivative

Q: Please help me with this homework. I am working on (x-5)^2 , (y-3)^2 and (z-1)^2 but said my answer…

A: We need to find (x-5)2 , (y-3)2 and (z-1)2

Q: Find an equation of the line tangent to the curve tan¹(y) = (x+y)e at the point (0,0). tan ¹(xy) =…

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Q: Find the area of the surface that results when y= around the x-axis from x = 1 to x = 2 223 is…

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Q: Derivative app The given rectangle has a perimeter of 60cm. Find the values of x and y that result…

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Q: Determine the scalar equation of the plane containing the point (-2, 9, 7) and 9. perpendicular to…

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Q: KIN T 2 sin² x cos⁹ x dx

A: We will solve integral using Wallis formula  The wallis formula is :

Q: Find the Volume: Rotate the region bounded by y = √x, y = 3 and the y-axis about the y-axis

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Q: dy For the following composite function, find an inner function u = g(x) and an outer function y = f…

A: We need to find derivative.

Q: 3x + 1 Evaluate (x-1) (x+2) dx using Partial fractions.

A: This question can b solved using the concept of partial fractions.

Q: Q14) The solution of y" + y = 0 by using power series method, is: - a) y(x) = ao + a1 ( 1 - 12/11 c)…

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Q: bn gn-4+5 10n

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Q: z, 1 + 9 + 25 + 49 +81 + ... + /2/

A: Topic = Algebra

Q: (5x-5)dx 3x² - 8x - 3

A:

Q: x² Evaluate using Partial Fraction Decomposition: f(x+1)²(x-1) dx

A: To evaluate the given integral by using Partial Fraction Decomposition. ∫x2x+12x-1 dx