Differentiate f(x) = [(3x4 – 5)(2x³ + 9x – 6)]3 and solve for f'(2).

Q: Question 2 Figure Q2 shows a rectangular enclosure formed by a straight wall AB and a fence CDEF of…

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A: To evaluate the given integral

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A: Topic:- integration

Q: Solve the problem and give a detailed solution. Find the 3rd derivative of y = sin(ex)

A: y = sin(ex) Differentiate w.r.t.xy'=ddx( sin(ex) )y'=cos(x)ddx(ex )y'=cosexexDifferentiate again…

Q: P8: sin x cos x -dx J (2 sin x – 1)(sin x + 1)

A: ∫1au+bdu =1a lnau+b+C

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A: For a separable equation, Variables can be separated each side of the equation.

Q: Find the equation of the tangent line at the given value of x on the curve. y + xy? - 5 =x+3y; x= 3…

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Q: Find the absolute maximum and minimum values of the following function in the clc f(x.y) = 2x - 4x+y…

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Q: Parametric Equations. Show complete solutions. 1. Find the equation of the tangent line (s) to the…

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Q: Use the differential to approximate the expression. Then use a calculator to approximate the…

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Q: oco=Sine secoこ cot =tano tano-o (8) Find all the solutioms to the following equations on the given…

A: (a) The given equation is: sin x=12, where x is any real number.

Q: How were you given 1/x

A: dlnxdx = 1x

Q: Find an equation of the ellipse with minor axis length 6, and vertices (3, 1) and (3,9).

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Q: sin* x cos? x dx

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Q: Match the point in polar coordinates with either A, B, C, or D on the graph.

A: The given polar coordinate -2,-π2

Q: If the characteristic equation of the differential equation 27 d d'y –18 dx dx² -y=0 is dx 27m* –…

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Q: There are two lines through the point (−1, 3) that are tangent to the curve x^2 + 4y^2 − 4x − 8y + 3…

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Q: csc(cot x) + cos? x dx ,2 sin?.

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Q: f(x) = (6 – x) | g'(x) and h'(x). ) = the Product Rule to find the derivative of f(x). II

A: Topic:- derivatives

Q: till in the blanks on Uht Cirde below, Then use H •to answer Quostions. the the ffillowngg 12)sin-lg…

A: The objective of the question is evaluate the values.

Q: An airplane flying at an elevation of 3,500 ft., directly above a straight highway. Two motorists…

A: Let d be the distance between the two airplanes

Q: (с) (2x3 + у) dx — x dy %3D0..... [EXACT DE]

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Q: 1. Find the volume of the solid generated by revolving about the indicated axis the area bounded by…

A: We can solve this as follows:

Q: С. O c. v = 2 m/s

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Q: Calculate the first order partial derivatives and find and df dx dy f(x, y) = /x2 + y² f(x, y) = (x2…

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Q: In AFDE, d = 4 ft, e = 5.5 ft, mZF = 24°. Find the area of the triangle and round to the nearest…

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Q: Written Works. 1. Find the area bounded by the curve y = x2,y 0, x 1 and x = 2. 2. Find the area…

A: Since you have posted multiple questions i can do first three subparts as per our company guidelines…

Q: Sx? cosh 5xdx

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Q: ydy (a2 (а? — у?)2

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Q: dx dx 2 +9)3/2 X + 9

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Q: 8. Evaluate dx . 6x A) +C 6. D) -C B) +C 5x 7x7 O b C O d

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Q: You have 200 feet of fencing to enclose a rectangular plot that borders a river on two sides. "f you…

A: From the given data:

Q: əf. dy and In each of the following, find dx (n) f(x,y) = tan x tany %3D

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Q: Decompose v into two vectors Vị and v2, where vi is parallel to w and v2 is orthogonal to w. v - -2i…

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Q: Solve the triangle. Round your answer to the nearest tenth. 26 42 В 17 mLB 3D 112°, а 3D 25.9, b —…

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Q: 8x -2x3+7

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Q: Solve the triangle. Round your answer to the nearest tenth. mLA = 46°, c = 9, a = 8 mLB = 8°, m2C =…

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Q: 3 14- Find L {r'} for (a)n="; (b)n=;:(a)n= 15- Find L[e" t 2 2

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Q: 3. Evaluate . - dx. 9x -16 A) 27 In|9x - 16| +C B) Inpx -16 +C C) 27In|9x° +16 +C D) 27 27

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Q: For y = arccot(7 e*) dy da

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Q: (2) Find the following a f a.) f (x,y) = cos (x y) -x³+y4, find D fyx and i) axaxa %3D

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Q: Find maclurine seris sin

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Q: 10) 4xy dx - (6x² +y) dy so

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Q: dx 1-Cos r

A: The Given integral is 1/(1-cosx).

Q: I cannot see the full solution for this question, and would like to better understand the…

A: We can solve this as follows:

Q: 1 v/35y² dy

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Q: Question 17 Write the vector v in terms of i and j whose magnitude Iv and direction angle 0 are…

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Q: P1: x? cos- x dx

A: The given problem is solved below in detail.

Q: If f(x) = 7 tan-(2 sin(4)), f'(2) =|

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Q: B. For the curve y = x' + 2x? +4 a.Solve the normal line at point (-3,-5) b. Locate the possible…

A: Topic:- application of derivatives