Use logarithmic differentiation to find y = x³ (5x + 3)¹ (2x - 1)5 dy dx given

Q: ■ Find equation of plane which is containing Points A(2,1,1) and B(7,5,2) and normal to 2 x - 3y -…

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Q: A company determines that the cost of making units of commodity is C(x) = 480000 + 2.4x - 0.0008x²…

A: Given C(x)=480000+2.5x-0.0008x^2

Q: Find a vector equation and parametric equations for the line. (Use the parameter t.) (x(t), y(t),…

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Q: All computations in this section must be done by the definition of Taylor series (taking…

A: according to given, only 1st solvedGiven :f(x)=1-xx=0

Q: 1. If f(x) dx = 3, evaluate [[1 + 21(x)] dx using the properties of interga 2. If f(x) dx = -2 and…

A: As asked we can answer question no 1 and 4 as below.

Q: Differentiate: 4. y = 6* log7 x

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Q: Given the function f(x) = x² + Draw a sketch of the graph of f. 16 X x>0

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Q: For the function g(x)=x^2 -2x + 5 estimate for the instantaneous rate of change at x=3. Round to the…

A: For the function g(x)=x^2 -2x + 5 estimate for the instantaneous rate of change at x=3. Round to the…

Q: Q5: Find the sums of the following (geometric series): 3n-1 1 6n-1 n=1

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Q: Find the derivative of the function. f(x): = sin ¹(6x) f'(x) = | −6 cot ( 6x)csc(6x)|× Need Help?…

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Q: f= (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the…

A: Please refer too the image below

Q: 04: Find dy/dx for the following function:: (5) y = x³ log₂ (3 - 2x)

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Q: An elliptical plot of garden has a semi-major axis of 6m and a semi-minor axis of 4.8m. If these are…

A: Given :   Semi major axis of ellipse = 6m and semi minor =4.8 m

Q: (I) Find the critical points of the function f(x) = x + x² + 1

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Q: 14 Approximate (x²-6) dx using 4 rectangles. 2 It is approximatley (If necessary, round to two…

A: Please follow the next step.

Q: 2x² +9 x4 + 10x² + 25 dx

A: given

Q: The position function of an object is given by s(t) = 2³-12² + 30t+8, where time, t, is in seconds…

A: The position function of object is given as  s(t) = 2t3-12t2+30t+8  Where 't' time in seconds and…

Q: Suppose that f(x, y) = y√³+1 on the domain D = {(x, y) | 0 ≤ y ≤ x ≤ 1}. D Then the double integral…

A: We have to find D.

Q: 5) a) Find the eccentricity, b) identify the conic, c) give an equation of the directrix & d) Sketch…

A: Concept: We know that a conic section is defined as the locus of a point that moves in such a way…

Q: 23 In the graph below, determine whether the given walk is a trail, a path, or a circuit. VI V5 V2…

A: We have to determine the path of given walk.

Q: Find the slope of the tangent line to the given polar curve at the point specified by the value of…

A: The given polar curve,    r=sinθ+3cosθ, θ=π2

Q: form: 2)If z=(2√3-2i)² then the angle 0 in polar 71 117 6 6 خیار 1 117 3 خبار 2 خبار 3 O

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Q: Question 32² If F(x) = √3+ Int dt, what is F"(x)? (Do not include "F" (a) =" in your answer.)…

A: This question is related to differentiation, We will solve it using given information.

Q: 3. Form a differential equation by eliminating the constants a and b: y = ax² + bx

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Q: .suppose that the virus was accidentally released on the open fields.it was found out that there are…

A: Given:  there are thirty persons gets infected by the virus every two second.           i.e. 2…

Q: The eigenvalues of the coefficient matrix A are given. Find a general solution of the indicated…

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Q: 19 Can a graph with three vertices of degrees 2, 1, 4 exist? Yes No

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Q: 2. A line passes through the points P(4, -3) and Q(6,2). Write the following equations of the line:…

A: A line passes throughvthe points P(4,-3) and Q(6,2). Write the following equations of line. A) a…

Q: Proceed as in this example to find the solution of the given initial-value problem. Evaluate the…

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Q: In a Northwest Washington County, the speeding fines are determined by the formula: F(s) = 14(s -…

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Q: Find the center of mass of the given system of point masses. (x, y) = mi 5 1 3 (Xi, Yi) (2, 2) (-5,…

A: In this question, we want to find the centre of mass of the given system of point masses.

Q: Find the sum of the arithmetic series where n = 60, a = 9, and t60 = 422

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Q: ᴛʜᴇ ᴅɪᴀɢʀᴀᴍ ʙᴇʟᴏᴡ ʀᴇᴘʀᴇꜱᴇɴᴛ ᴛʜᴇ ʀᴏᴏꜰ ᴏꜰ ᴛʜᴇ ʙʀᴏᴡɴ'ꜱ ꜰᴀᴍɪʟʏ'ꜱ ꜰᴀᴍʜᴏᴜꜱᴇ. ᴀʟʟ ʀᴀɪɴ ᴡᴀᴛᴇʀꜰʟᴏᴡꜱ ꜰʀᴏᴍ ᴛʜᴇ…

A: We have to find the total area.

Q: 6 = √² (6x - x²) dx = We now have Area = 16

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Q: (t² + 2t) dx = 2x + 8, x(1) = 1 dt

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Q: You are driving a car away from home. Your velocity (miles per hour) t hours after noon is given by…

A: you are driving a car away from home.your velocity t hours after noon is given by,…

Q: A conical vessel full of water is 16 ft across the top and 12 ft deep. Find the work required to…

A: Given: Volume of the conical vessel=13π r2h          where r= radius of vessel                    h=…

Q: Find the slope of the tangent to the parametric curve at the indicated point. (Round your answer to…

A: Solution is here

Q: Integrate => = dr ( (bsin) dø => lnr = Letiu 1-b cos / dy = - (-bsin D) 14 1 (trusteena aid) b sing…

A: Integral question

Q: 5) The function A(x) = A₂e-0.0077x models the amount in pounds of a particular radioactive material…

A: Both 5 and 6 has been solved as per the request of the student.

Q: Find the direction in which the maximum rate of change occurs for the function f(x, y) = 3x sin(xy)…

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Q: 2. If w = f(x + ct) + g(x- ct) show that c²wxx = Wtt C= constant.

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Q: If g(x, y) = x² + y² - 6x, find the gradient vector Vg(1, 6). Vg(1, 6) =

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Q: Given y=(3-ex)/2ex  , determine the behavior as x approaches negative infinity

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Q: Write and evaluate the definite integral that represents the area of the surface generated by…

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Q: Starting at age 30, you deposit $2000 a year into an IRA account for retirement. Treat the yearly…

A: We have to find the value of IRA.

Q: Find the volume bounded by: x² + y² + z = 16 and z-x² - y² = 8

A: Concept: If a solid S is bounded by a surface, as in rectangular coordinates,  z=f(r,θ) as well as…

Q: )

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Q: Proceed as in this example to find the solution of the given initial-value problem. Evaluate the…

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Q: Which graph represents the function f(x) =

A: Here the given function is fx=1x-1 It can also be written as y=1x-1 From the expression it is clear…