Directions: Evaluate the limits of the following: tan xy 1. lim (sin 2. lim 帶) cosa 3. lim 4x 4. lima -0 sin 5. lim X-0

Q: Suppose that the functions f and g and their derivatives with respect to x have the following values...

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Q: (x² + 7x – 5, x 3' ih(x) on the interval [2,4].

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

Q: et –1 t2 – 3t + 5 lim t-0 t t2 – 1

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Q: a Fate of change, r' (t) for the radius of Ralloon A over the time interval 0 <t < 10. t (minutes) 4...

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Q: A. Directions: Find the limit of the following rational functions: X-1 1. lim x1Vx² + 3 sec x 2. lim...

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Q: + x° rp („z +

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Q: nalyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflecti...

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Q: 9. xy' + y = /x 10. y' + y = sin(e*)

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Q: 00 Suppose y = > anx" on an open interval I that contains the origin. Express the following as a n=0...

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Q: y = 3x2 from x = 1 to x = 2.

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Q: Find

A: We will find the derivative of the above function using logarithmic differentiation. 

Q: 2. f (x) - 2x2 if メくQ 2- メ if x 2 2

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Q: Write z, and z, in polar form. Z1 = 7 + 7i, z2 = 4 21 = Z2 Find the product z122 and the quotients 2...

A: Since you have asked multiple part question, we will solve the first 3part of the question for you a...

Q: - Trig Sub x5 dx (36x2 + 1)ž

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Q: Find two unit vectors in 2-space that make an angle of 45° with 10i +3, NOTE: Enter the exact answer...

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Q: Given the function (x³ – 2x 2 if x < 2 f(x) = v2 - x if x 2 2 Determine if f is continuous at x1=2. ...

A: Continuity 

Q: Write the expression as the sine, cosine, or tangent of an angle. tan(7/15) + tan(4z/5) 1 – tan(x/15...

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Q: 1 Find the derivative of g(x) = Vx-1 Find f'(x) and f"(x) of f(x) = 11x³.

A: Here we have to find the derivatives of the given function.

Q: Find the following. a. da Pro b. da le 4] = %3D C. dr (5e 02] = %3D

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Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the i...

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Q: 25. If n + 0, then cot x csc" x dx = - cot" x А. - csc" x В. cscn+1x +C +C - cotn+1 x D. +C С. n +C ...

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Q: For the demand function q = D(p) = 323 - p, find the following. a) The elasticity b) The elasticity ...

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Q: 8 x2 = 4y and y %3D x2+4

A: We have to find the area bounded by the curves.

Q: DO NOT include spaces in between characters. * 7 Given y=(3x +6)| 2x– Find the value y' at x = 4

A: Given:       y=3x2+62x-14 Differentiating on both sides with respect to x.      y'=ddx3x2+62x-14 App...

Q: Lim 9. x + 4

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Q: Use Ay f'(x)Ax to find a decimal approximation of the radical expression. 7.7 What is the value foun...

A: NOTE: Refresh your page if you can't see any equations. . here we have a cube root function so we w...

Q: Given g(x) ニ X-1

A: We know that, g'(x)=limh→0g(x+h)-g(x)hHere g(x)=1x-1Therefore g(x+h)=1x+h-1Thereforeg'(x)=limh→01x+h...

Q: If 5æ? + 3x + xy = 1 and y(1) = -7, find y'(1) by implicit differentiation. y(1) =

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Q: The radius of a circular disk is given as 26 cm with a maximal error in measurement of 0.4 cm. Use d...

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Q: Given: g(x) = -2x² + 3. Determine the slope of the secant lines the curve, given the coordinates P(1...

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Determine the intervals on which the following function is concave up or concave down. Identify any ...

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Q: Find the equation of the tangent line at the given point 1 ·y =- X - 3 ; (0, -३) 3*

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Q: equation

A: We will find the equation of the quadratic. 

Q: If $P is invested for n years at 12% compounded continuously, the future value that results after n ...

A: Solution )a)  S = P e0.12n S' (n) = P (d/dn) e0.12n S'(n) = P × 0.12×e0.12n [ (d/dx)e nx = nenx  ] S...

Q: Find the indicated power using De Moivre's Theorem. (Express your fully simplified answer in the for...

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Q: Consider the following function. (x) = x5 + 4x³) Find f'(x). f'(x) = Does f have an inverse function...

A: Given that f(x) = 1/8 (x5 +4x3)

Q: 2. Given: LKEI S LTEI Prove: AKET ATEI Proof: Statements Reasons 1. 1. 2. 2. 3. 3. El EI 4. 4.

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Q: (a) Find the differential dy of y = e#/5. (b) Evaluate dy for a = 0, dx = .1. (a) dy = dx (b) dy =

A: Solved below

Q: x -4 ifx<2 Determine f(2) if f(x)= {2-x if 2 <x<4. x-2 if 4 <x

A: Given,           fx=x2-4if x≤22-xif 2&lt;x≤4x-2if 4&lt;xTo find : Determine f'+2.

Q: dy – 4y = x*e* 12. x- dx

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Q: 10 Find the average value of the function ƒ (x) = from x = 7 to x = 9. Write X-5 %3D your answer as ...

A: Given function f(x)=10x-5    ,   x=7 to x=9

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

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: - Trig Sub 1 dx V9 – x²

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Q: Three computers are chosen at random from 15 computers of which 5 are defective. Find the probabilit...

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Q: Find the particular solution that satisfies the differential equation and the initial condition. f"(...

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Q: (a) P(blue, then red) (b) P(clear, then clear)

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Q: help

A: We will find the time interval when particle is moving to the right. 

Q: Use Theorem 7.1.1 to find £{f(t)}. (Write your answer as a function of s.) f(t) = sinh kt L{f(t)} %3...

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Q: If y = In(6 + x8), find the differential dy. Your answer will be in terms of x and dx. Enter dx as d...

A: topic - differentials

Q: B. dx (9-22)²

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