Find the equation of the line tangent to an inverse function Question -3x - 3 Find the equation of the tangent line to f-l at the point P (-,-3† for f(x) = x - 2 Provide your answer below: O CCCNDACK SURMIT AMORE IAICTDIICTION Previous Next 8.553 MAR 21 étv S MacBook Pro

Q: 5 Find the lateral (side) surface area of the cone generated by revolving the line segment y = x, 0s...

A: If the curve y = f(x) , a≤x≤b is rotated about x-axis, then the lateral surface area is given by    ...

Q: Given cost function C(q) = q° - 135q + 2500q, what quantity minimizes average cost? It would be item...

A: Given, The cost function C(q) = q^3 - 135q^2 + 2500q Differentiate with respect to q, we  get C'(q) ...

Q: se the Leading Coefficient Test to describe the right-hand and left-hand behavior of the graph of th...

A: Given query is to find the end behaviour if the graph.

Q: 2x* + х 'f(x) : %3D .3 x' - 1 2х - 3 y = 2 (x² + 4)² b. 2x – 1 y = С. Зх + 5

A: use rule  d(u/v)/dx = (v(du/dx) - u(dv/dx) )/v2 apply here   a f(x) = (2x2 +x)/(x3 - 1 ) f'(x) = ((x...

Q: siny Given the integral S" S" dy dx, Sketch the region of integration, reverse the order of integrat...

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Q: 8. Use the two-column proof table to simplify the given proposition. PV {¬(-Qv P) A-(-QVP) v (Q A¬P)...

A: Using table solve it. 

Q: 2. Matching type: Match the functions in Column A with their corresponding antideriva- tives in Colu...

A: so in column A is given the derivative of column B so we derivate the column B a F(x) = 3x3 - x now ...

Q: Write the comp number in standard form. (Simplify your answer completely.) 3-V-64

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Q: 18) rind fue indefinite inpagrel by ma uing tue Subs titel fion x=2Seco. af -de

A: The detailed solution is given below Thank you 

Q: A. Determine the derivative of the following using the Four-Step Rule 1. f (x) = 5x – 4

A: Note:- These are multiple questions and according to our company guideline we can do maximum 1 quest...

Q: e. Find the area under the curve y = vx + 8 from x = -8 to x = 4. Give exact answer.

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Q: 12.-/1 pointsLarPreCalcRMRP72.3.028.MI. Use synthetic division to divide. (6x + 3x + 8) + (x+2) to

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Q: Given Cost and Revenue functions C(q) ) = q° - 11q +57q + 5000 and R(q) = - 3q + 2600q, what costs s...

A: Given problem:- Given Cost and Revenue functions C(q) =q³-11q² +57q+ 5000 and R(q)= -3q² +2600q, wha...

Q: show, by direct substitution, that the given functions y1(t) and y2(t) are solutions of the given di...

A: Given differential equation y''+4y=0  y1(t)=cos(2t)     , y2(t)=sin(2t)

Q: What’s the derivative ? f(x) = xe^-x3

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Q: ng If C(t) = 62.5t e -0.19t measures the concentration, in of a drug in a person's system t hours af...

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Q: these equations have distinct, real, characteristic roots. Find the general solution in each case a...

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Q: 4. The derivative of f(x) = ln x at x = 3 when hpresent = 0.001 and hprevious = 0.002. %3D 5. The de...

A: f(x)=ln xhprevoius=0.002f'(x)=f(x+h)-f(x)hf'(3)=f(3+0.002)-f(3)0.002f'(3)=ln(3.002)-ln(3)0.002f'(3)=...

Q: Find a differential equation whose general solution is -4t y = cjet + cze¬4.

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Q: 2) Let r(t) = (t, t² , e'). Find an equation for the unit tangent vector T(t).

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Q: Find the first derivative of the given functions: 1.)  x=(Arcsinh(1-b))2   2.) y=e-xcosh ln(x)

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Q: (1) Use the divergence theorem to evaluate F-S. where F (z, y, 2) = zzi – j+4:k and S is the surface...

A: we use divergence theorem for finding the surface integral.

Q: Consider the following vector field F (x, y, z) = yz cos (xy) i+ xz cos (xy) j+ sin (xy)k (a) Use th...

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Q: A rectangular box with a volume of 64 ft is to be constructed with a square base and top. The cost p...

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Q: Consider a utility maximizing consumer who generates utility according to the following 1 utility fu...

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Q: :6. Bet“ dt.

A: (6). Given: I=∫t3et4dt   ...1   We know that; ∫eax+bdx=1aeax+b+C   Note; As per Bartleby guidelines ...

Q: 4) The position function of a particle is given by F(t) = (t², 5t, tť² – 2t). When is the speed a mi...

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Q: The arc length along the parabola y = x² from (1,1) to (2,4) is given by which of the following inte...

A: Let's find. 

Q: Consider a particle moving along the x-axis where x(t) is the position of the particle at time t, x'...

A: According to the problem, we have

Q: 2. Use the sum and difference formulas to evaluate the following. 5TT COS 12 sin (-) 7Tt а. b. 12

A:

Q: 2.x2 (а) lim,g->2 5x + 2 Зх — 6 а* (За — 1) (b) lim→∞ 50 + 4г — 2л3

A: A) limx-2 (2x2-5x+2)/(3x-6). B)limx-infinity(x2 (3x-1))/(50+4x-2x3)

Q: If u = e3x. du = 2 cos 2x dx then du = 3e* dx, v = sin 2x. Select one: True O False

A: Differentiate the equation u=e3x with respect to x.                                                 ...

Q: Given revenue and cost functions R(q) = 90q – C - 0.4g and C(q) = 15q + 550, find the quantity when ...

A:

Q: Given polar curve r = −6 sin(θ) do the following. (a) Find the Cartesian equation for this curve. (b...

A:

Q: X X sin². sin? - cos' ,dx CoS 2 2 2.

A: x2=u → dx=2 duI=2 ∫ sin2u cos7u duI=2 ∫ sin2u cos u cos6u duI=2 ∫ -sin2u cos u (sin2u-1)3 dusin u =v...

Q: Consider f(x)=ax+xln(bx)f(x)=ax+xln⁡(bx) for a>0a>0, b>1b>1, and x>1x>1. Find f′(x)f′(x): f′(x)=f′(...

A: f'(x)=a+1+logbx Increasing 

Q: ind the following limits if they 3. 2. 4x+1 lim x-o x-7 x +2x+x+27 8x 8. lim エー→+ 5.x-7 lim メー→+の 2....

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Q: 1) Let 7(t) = (t, 2 cos t, 2 sin t), -4 <t< 4. Find the length of the curve.

A: In

Q: Work Problems a) Evaluate the integral (4x + 1) ln x dx b) Evaluate the integral fou | 6 tan" x sec“...

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Q: A- Graph the following functions and determine (domain, range) (1) y= sin/x/ (2) y= /x - 2/

A: since you have posted multiple question in this question which are not interlinked so i have solved ...

Q: Consider the region between the curve y = sin(x) and the x-axis, between r = 0 and x = on is rotated...

A: To find the volume of S using cylindrical shells method. Given information: Let S be the solid obtai...

Q: Find an арprozimation of 1000 i=1

A: Find your answer below 

Q: (r +1)' sin x (c) lim - 2.x X-0 sin x (d) lim- X-0 20' lim + sin 0 (e) 40

A: According to our guidelines we can answer only three subparts. Kindly repost the otherquestions in t...

Q: find the definite integral of [e^(arcsec x)] / [ (x)(x^2  - 1)^(1/2)]  dx as x goes from 1 to infini...

A: This question is related to definite integration, we will solve it using given information. 

Q: IV. Exercises A. Solve the following integrals: (1) /20. (2) / (2e + 4"). da (3) 2(5") dr

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Q: Calculate the volume of the solid obtained by rotating the area bounded by f(x) the x(x + 1) X-axis,...

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Q: By considering the real and imaginary parts of the product eiθ eiφ prove the standard formulae for c...

A: Given problem:- By considering the real and imaginary parts of the product eiθ eiφ prove the standar...

Q: 2.) State one of the two formulas for finding the derivative of a function f(x) that uses limits. Us...

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Q: 1. A statue 10 feet high is standing on a base 13 feet high. If an observer's eye is 5 feet above th...

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Q: Lesson 13 Find the derivative of the following functions. Show your solution. 1. y = x' cos x 2. y s...

A: This can be solved as follows: