Find the critical points of the given function. 5. f(x) -24/5- 24/3+¹/3+x-2/3

Q: an = arn+1 an = arn-1 * The general term of geometric progress Option 4 O Option 1 an=arn a" = arn-1…

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Q: You have 100 feet of fencing to build a pen in the shape of a circular sector, the "pie slice"…

A: Given the perimeter of the circular sector is 100 feet   i.e. r+r+s = 100   ⇒ 2r+s = 100    ⇒ s =…

Q: (a) Use the Midpoint Rule with n = 6 to approximate integral 8 x-6 6 x+8 dx Write your answer exact…

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Q: 1 a. Determine whether the Mean Value Theorem applies to the function f(x) = x + on the interval…

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Q: Evaluate 3 [²^{²} + √x² − ² + ³x² − ²) dx = x None of them 21.466 2.1664 -2.1646 -21.664 21.664…

A: Given problem:-

Q: find the tangent line of the function below f(x)=x+4/x and (2,4)

A: This question is based on finding slope to find out tangent line at a point.

Q: 2x et. Vi-eza ex fer.

A: ∫ ex1-e2xdx=∫1-u2du=∫1+cos2v2dv=12·∫ 1+cos2vdv=12∫…

Q: • Find f' (-1) for f(x) = (3x + 2)² in each of the following ways: • Create a table of secant slopes…

A: Solution is given below:

Q: Part 1 Basic Integration Solve the following integrals through video presentation. 1. f(4x²-3x²+) dx…

A: I can solve it but i can't explain like video presentation. It's a basic integration. Just apply…

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Q: Determine whether the series is convergent or divergent by expressing s as a telescoping sum. If it…

A: answer is in next step.

Q: Congratulations! You won a contest sponsored by a local radio station. If you were given the choice…

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Q: Solve the following integrals through video presentation. 12x + 6 1. =dx √x² + x

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Q: Problem 4. A particle moves back and forth along a straight line with a velocity of v(t) = 1-²…

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Q: Let R be the region bounded by y=x, x= 1, and y = 0. Use the shell method to find the volume of the…

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Q: Solve the given differential equation by undetermined coefficients. y" - 8y' + 20y = 100x² - 65xex…

A: The characteristics equation is  m2-8m+20=0⇒m=4+2i, m=4-2i So, the general solution to the…

Q: Use identities to find values of the sine and cosine functions of the function for the angle…

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Q: Write the expression in terms of sine and​ cosine, and then simplify so that no quotients appear in…

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Q: Let R be the region bounded by y = x², x = 1, and y = 0. Use the shell method to find the volume of…

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Q: ries of f(x) = lor series. =0 =0 =0 (−1)²+1 (-1)²+¹ (-1)". 1 (x-7)" 8n+1 (x (x − 8)¹+1 7" E(-1)", =0…

A: We have to find the Taylor series from the given condition and also indentify  the valid interval

Q: The definite integral is equal to O 2 [²x Select one: 4 O f₁²₁x² dx + ₁ + x² dx none of the others ○…

A: ∫02 x2dx here we have to find equal to this. split the integral into two  use formula  ∫a  b f(x)dx…

Q: 20. The graph of the first derivative f' of a function f is continuous on (-∞, ∞). -1 f (x) 2 3 (a)…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: Locate the absolute extrema of the function on the closed interval. In x, [1,4] 7x g(x) = minimum…

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Q: Consider the function Find ¹(x), where is the inverse of f Also state the domain off in interval…

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Q: c) graph of Estimate the area under the f(x)=√x from x = 0 to x = 4 using four approximating…

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) ● (esti -j+e-6tk + lime⁹ti…

A: We need to find limit.

Q: Consider the graph of f'(x) given below. At what value(s) of x does f(x) have a local minimum? If…

A: we have given the graph of f(x) we know that at maxima and minima f'(x) =0  (means slope at that…

Q: The value of the definite integral is Select one: O 16 3x²dx 0-8 O none of the others 08 0 0

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Q: Find a formula for the general term an of the sequence, assuming that the pattern of the first few…

A: Topic = Series

Q: Ⓒ S x² (Inx)² dx 0

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Q: The distance from the point K(3, -2, 0) to the az- plane is Select one: O-2 O √13 O 0 02 O None of…

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Q: Find the order 3 Taylor polynomial T3(x) of the given function given. Use exact values. 3 f(x) = (5x…

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Q: Sketch the plane curve represented by the vector-valued function and give the orientation of the…

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Q: Find the largest interval centered about x = 0 for which the given initial-value problem has a…

A: We have to find the largest interval centered about x = 0 for which the given initial-value problem…

Q: Question 2 Consider the point P(-2, 1, 4) and the vectors a = and 6=. (a) Find the unit vector u…

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Q: Find the following for the given equation. r(t) = 8 cos(t)i + 8 sin(t)j (a) r(t) = (No Response) (b)…

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Q: Can you solve this? 10x8 5x4 A) 2x² B) 2x¹2 = ? C) 2x4 D) 2x32

A: Solve the given

Q: Problem 2 Solve y" - 25 y = x ex

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Q: Consider the differential equation x²y" + xy + y = 0; cos(In(x)), sin(In(x)), (0, ∞). Verify that…

A: Solve couchy Euler differential equation by putting y=x^m

Q: Prove that for any integer n if 3n+ 2 is even, then n is also even.

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: Let f(x) = { 2x-3. 3x²+2, if x < 3 if x ≥ 3 be a piecewise function. Evaluate Sof 0 f(x)dx=

A: We can find the integration of the piecewise function as below.

Q: b). Find the equation of the plane that passes by P(1, -2,3), Q(1,0,1), and the Origin O(0, 0, 0)

A: We have to find the equation of plane.

Q: Find the derivative using logarithmic differentiation. x(x+4) (5x + 1)(3x +7) y =

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Q: The slope of the tangent line to a curve is given by f'(x) = 7x² + 9x - 8. If the point (0,5) is on…

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Q: * he transformation from Cartesian to plane coordinates in x-direction is given by x=rsine x=rcos20…

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Q: 2) Is A P Q R a right angle triangle P(-5,3) Q(-7,8) R(3, 12) and it. name

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Q: B) Find the interval of convergence for the series n=0 xn √n² +3

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Q: Find the terms through degree 4 of the Maclaurin series of f. Use multiplication and substitution as…

A: Hete we have to find the maclaurin series of f.

Q: Find the absolute maximum of f(x) = x3 −6x2 + 12x + 3 on [0,3]

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Q: Find u-v, 2(u + 3v), and 2v-u. u-(6, 0, -5, 8), v= (0, 4, 8, 6) u-v (b) 2(u + 3v) - (c) 2v-u-

A: To find out u-v, 2(u+3v), 2v-u