Find the derivative of y=ln[x^3(x^2-5)^3/4]

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A: As per our company guidelines we can answer only three subpart question at a time so if you nee more...

Q: Given: v = 2i – 4j + V5 k, u = -2i + 4j – V5 k 2. v=i+k, u = 5i + 12j 1. 4 Find: a. u· v, |v|, J| b....

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Q: Use the chain rule to find the derivative of f(x) = 2( – 72* – 8z*) 4 You do not need to expand out ...

A: Given: f(x)= 2(-7x8-8x5)14

Q: Ditections: show the following. 3.) flx) =1x-5 is continuous on the interval [5,a

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Q: Mark the critical points on the following graph. 136

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Q: Over 4 years, researchers studied the growth of a fish population and found its growth rate to P'(t)...

A: solution:-p'(t)=10-31+t2+t3     where t∈0, 4∫04p'(t)dt=∫0410-31+t2+t3dt                 =10t-3tan-1t...

Q: 4. An anagram of a string of letters is a rearrangement of the letters so that there is a change of ...

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Q: Evaluate the following integrals: Show CLEAN AND CLEAR solutions also indicate what rules/formulas y...

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Q: Find grad f, plot some level curves f= constant and indicate grad f by arrows at some points on the ...

A: Question - (a) Given: fx,y=xy Formula used: ddxxn=nxn-1  

Q: By definition, if two lines L1 and L2 do not intersect, then L1 and L2 are parallel. If two planes i...

A: Given

Q: Given f(x)=x+2Jx. Use the definition of derivative to find f'(x).

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Q: Find dy/dx given that 3(x +y) = 100xy Solution:

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Q: Recall that the circumference of a circle is given by f (r) = 2ar where r is the circle's radius. If...

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Q: Use Integral Test to determine whether the series 1 converges or diverges. (n + 2)% n=1

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Q: A boat with its load weighs 1,435 N. If the force exerted upon the boat by the motor in the directio...

A: F=72- 2vma = 72- 2v14359.81 dvdt=72-2v∫(146.3) dv72-2v=∫ dtt=-146.32ln(72-2v)+Cv=0 at t=0C=146.32ln(...

Q: . Using integration by parts: prove that ſ In u du = u In|u| – u + C %3D

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Q: x² +1 dx. Vr3 + 3x Evaluate

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Q: Consider the function f(x) = 3- 7z, - 4 < ¢ < 1. The absolute maximumn value is and this occurs at T...

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Q: NOW YOU SOLVE THIS! Use Table of Values and Graphing to determine the limits of the following functi...

A: Question 1: Given, limx→38x2+x+3x-4 Here, fx=8x2+x+3x-4

Q: D(10.0 m) 30° 53° 25° C(12.0 m) A (8.00 m) Figure A1-1. Displacements on a Cartesian plane B (15.0 m...

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Q: 2 + Vx lim x→∞ 2 – V3

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Q: Consider the parallelepiped with adjacent edges u = 9i + 5j + k v = i+j+ 3k w =i+ 6j + 4k Find the v...

A: Let's find. 

Q: Question 5: The 3×3 matrix M is given below, in term of a constant y: [y - 3 M = -2 1 y -2 -1 у -1 у...

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Q: (2x2+4x-1 dx 2x-1 2x J.

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Q: f(x) = 1– 2x – x2

A: Nothing is clearly mentioned here so i am solving it by considering that you want to differentiate i...

Q: find (y') by Implicit differentiation x² tan(y) + y10 sec(x) = 2x

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Q: Some airlines have restrictions on the size of items of luggage that passengers are allowed to take ...

A: The given problem is solved below in detail.

Q: Integrate the function. dx x2+ 8x + 32 A (2x + 8}In]x2+ 8x + 32|+ C B X+4 tan + C 4 sin + C (*+4) X+...

A: First simplify then use the formula of integration and get the final result 

Q: Question 13 Find the domain of the vector-valued function. 4. r(1) =i+V7-1j+ In(1-5)k 1-8 O 17,5) O ...

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: To find unit vectors that satisfy the stated conditions.a Same direction as -2i+7j.b Oppositely dire...

Q: Given: 1. v = 2i – 4j + V5 k, u = –2i + 4j – V5 k 2. v =i+k, u = 5i + 12j - 3 Find: a. u·v, [v|, Ju|...

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Q: m 1 Find the Let x be a continuous random variable over [a,b] with probability density function f. T...

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Q: * 1 For the next exact solution: y(t) -te*- y(0.2) is equal to- 25 25 0.2681280184 ) 0.1507778355 ) ...

A: We have to find value of y(0.2)

Q: What value should be assigned to a to make the function S(x) = (x²-1, x<3 (2ax, x 23 Continues at x-...

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Q: For the given function shown, Identify the equation of the oblique (slant) asymptote.

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Q: Let f(x) = x2 ( + 2) and calculate f(x) dx by using integration by substitution. What was your subst...

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Q: 2 + Vx lim 2 – Vx x→00

A: Solve for the limit

Q: technique

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Q: Recall that, for any continuous function f(x), the definite integral f(x) dæ gives the area under th...

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Q: 4. S dx x In x

A: Given: 4). I=∫1xlnxdx   ....(1)   We know that; ∫1ax+bdx=1alnax+b+C And ddxlnx=1x

Q: VE 1+ V=dx = a[Vx= = In (1 + V=)] + e 16.

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Q: Recall that, for any continuous function f(x), the definite integral (x) dx gives the area under the...

A: Solution is written in below steps.

Q: The profit P(x) pesos from producing x thousands of goods is given by P(x) = 11x² + 1980r + k for so...

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Q: x-y x+y -1 -1 tan - tan -

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Q: e 9. cos(x) dx - " sin(x) dx. Evoluate

A: Formula:∫ cos x dx = sin x + C∫ sin x dx = - cos x + C

Q: The cost of producing a car depends on the price of steel (s) in dollars per pound and the hourly wa...

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Q: 2. y(x² + y² – 1)dx + x(x² + y² + 1)dy = 0

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Q: 5. The management of Porter Airlines finds that its monthly marginal revenue can be approximated by ...

A: Given problem:- The management of Porter Airlines finds that its monthly marginal revenue can be app...

Q: What must be multiplied to both numerator and denomination of lim→2 3-г-1 SO 2-x that the limit will...

A: We have to find multiplication factor for given Limit.

Q: Use Polya’s four-step problem solving strategies. Show complete solutions (a) A local furniture st...

A: To find: The original price and the saving if furniture bought at the sale by the use of Polya’s fou...