Use logarithmic differentiation to compute the derivative of y = y' = (x³ + 3)7(x8 – 5)5 (+⁹+8)⁹

Q: Let f (x, y) = x^2 + xy + y^2 Let D be the region in the xy− plane bounded by an octagon whose…

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Q: A geometric sequence will have a common ratio between each consecutive term. O True O False

A: when ratio of any two consecutive terms in the geometric sequence are same same then that is known…

Q: 3. Use L'Hospital's rule to find the limit. (a) lim 818 2-3 ex² (b) lim t-0 102t t

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Q: 2. Consider the piecewise function f(x)=₁ X, x², -1, *≥2 x<-1 1 ≤x≤2 - What is the lim f(x)? X→2-

A: Given: A piece-wise function is given.To Find: To evaluate the following limit.

Q: Evaluate the iterated integral S 4 0 rdz dr de (1-e²¹6) 6x{1+e+] 3x(1+e+) 7x (1-07) /(1-8-16)

A: To evaluate the iterated integral.

Q: QUESTION 7 Determine the number of triangles with the given parts. a = 34, b = 69, a = 74° 3

A: The given sides and angles of the triangle are ;

Q: Let f(x) = √ x and g(x) = x^2  (a) Sketch graphs of f and g, and indicate the finite region…

A: Graph of f(x) is as shown belowGraph of g(x) is as shown below

Q: Given that f(x) = x¹¹h (x), h(-1)-2, and h'(-1)=47 Calculate f'(-1) Make sure to show your work…

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Q: n ann sum definition of integrals, find lim Σ n→∞ j=

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Q: 4 a₁ = -1, and a =for n = 2, 3, 4, ... What is the common ratio, r, for this sequence? n-1 O r = -1…

A: …

Q: Use differentials to estimate the amount of tin (in cm³) in a closed tin can with diameter 6 cm and…

A: Let r and h be radius and height of tin canThen r varies from 3 cm to 3.04 cm and height changes…

Q: Please do the last two parts.

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Q: 1 3 1 1 + 72 33 12 + 3 + 1 74 + 1 1 35 + +... 76

A: The given series is .We have to determine whether the series converges or diverges.Consider the…

Q: Determine whether the improper integral converges or diverg °3 ex In x dx O Converges O Diverges

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Q: The plane ४| + y + NIT = 1 intersects the x-, y-, and z-axes in points P, Q, R. Find the area of the…

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Q: Evaluate the double integral f(x² + y²) dA. parabola y = x² and the line y = 2x. D is bounded by the

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Q: Use partial fractions to find the indefinite integral. 1 8x - 4 3(x - 1)² G.Y

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Q: onsider the function f(x) = 2x - e³x. nter the number of critical points/numbers of f(x). etermine…

A: Since we are given with the multiple number of question  and our guideline is solve first  question…

Q: 0 0 О

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Q: Trace the curve: y = x³ + 3x² - 10x - 24

A: y=x2+3x2-10x-24

Q: What is the area of a regular octagon inscribed in a circle of radius 6 meters? O 122.530 square…

A: Figure:-

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

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Q: A rancher has 200 feet of fencing to enclose two adjacent rectangular corrals. use the following…

A: Given that, A rancher has 200 feet of fencing to enclose two adjacent rectangular corrals see…

Q: Suppose that the radius of convergence of the power series Σcx" is 36. What is the radius of…

A: Given that the radius of convergence of the given power series is 36.

Q: 17. Two planes are parallel if their normals are 18. If three planes intersect in a point then the…

A: As per bartleby policy we are not supposed  to answer  more than one question per post.This post…

Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

A: ........(i)Differentiating equation with respect to x So, .........(ii)

Q: For the function f(x) = 2x - 7 calculate m sec A/ = f(x+h)-f(x) (x+h)-x and simplify.

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Q: Thời gian còn lại 1:00:55 Find the absolute extrema (the global extrema) of the function ƒ(x, y) =…

A: Solution is given below.

Q: Find the limit. 5 + t² lim t→∞ 15-t²' 5 tan-¹(t), 5-e-2t t

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Q: Find the equation of the tangent line to the graph of the function f(x) = -9x¹/3 +5 at x = 27. Give…

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Q: 3. (a) Show using the definition of integration that: for any a, b > 0. (b) Using (a), show that:…

A: Integrate the given integral.

Q: Use a change of variables to evaluate the following integral. SfSxY xy dV; D is bounded by the…

A: Planes y-x=0,y-x=5,z-y=0,z-y=1,z=0,z=8

Q: Use L'Hospital's rule to find the limit. (a) lim x-1 x²-3x + 2 x² - 1 sin (2x) 2-0 sin (7x) (b) lim

A: L'Hospital's rule a.

Q: A basketball player shoots a free throw, where the position of the ball is modeled by x = (24cos…

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Q: Suppose that functions f and g and their derivatives with respect X to x have the values shown to…

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Q: Find the radius of convergence and the interval of convergence of the power series. n=0 nx O a. R=0,…

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Q: Find the average value of f(x, y) = = 84 + ১১/১ Y X on the rectangle R = {(x, y): 1 ≤ x ≤ 4,1 ≤ y ≤…

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Q: Evaluate f(x, y, z) dV for the function f and region W specified. f(x, y, z) = e9z W: x + y + z ≤ 1,…

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Q: Integrate the following: Answer: sin³ (x) cos³ (x) dx

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Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at…

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Q: Find the derivative of f(x) =14sin(x)-73cos(x) when x = 2 2 Make sure to show your work neatly and…

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Q: If the unit selling price p(x) and the quantity supplied x of a certain product is given by p(x) =…

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Q: (177) ² 12 What is the exact value of cos

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Q: J1 1 81 1 1+ dx x4

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Q: Which of the following graphs represents the equation r = 7sin 0?

A: Formula Given

Q: Find all the relative extrema (local extrema) and the saddle points of the function f(x, y) = x²y -…

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Q: (a) Sketch the graph of a function that has a local maximum at 8 and is differentiable at 8. 1 2 2 4…

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Q: Find the general solution of the given higher-order differential equation. y(4) + y + y" = 0 y(x) =

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Q: Find the absolute and local maximum and minimum values of f(x) = 1-z 0<x<2 2x - 4 2≤x≤ 3° If there…

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