Let f(x) = In(5æ² - 4x + 9) f'(x) =

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Q: Use sigma notation to write the Taylor series about x = 7 for the function. 1 x + 5

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Q: dy Find the function y(x) satisfying = 30, y'"(0) = 4, y'(0) = 6, and y(0) = 6. 3 d'y = 30, y''(0) =...

A: Let's find. 

Q: Given the triangle below, find cos(0). Enter the answer as a fraction. 29 21 20

A: This question is based on trigonometric ratios.

Q: 1. Create a Table of Values to find the limit of each function. (Use at least 3 distinct values of x...

A: As per our guidelines, we can answer only one question in a single request. Kindly re-post the other...

Q: What is the slope-intercept form of the equation of the tangent line to y=x²+2x at x=0?

A: At x = 0, y = 0+0 =0  So, the tangent line passes through (0,0) .

Q: Market research for a certain ice cream company indicates that if the price per cup of ice cream is ...

A: we can answer only three subparts, or the first question and the rest can be reposted. No more than ...

Q: Determine whe ther the series is Convergent test that you use. diver gent.write the exact or n=2

A: We have to check weather the given series is convergent or divergent.

Q: If f(x) 5æ - 2x 2x3 find f'(x) x4

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Q: III. For each of the following series, determine whether it is convergent or div your answer briefly...

A: We have to consider the given series are convergent or divergent

Q: 2. How many alphabet characters should a password be composed, making sure that there are at least 2...

A: Hello learner, we can answer first question as per the honor policy. Please resubmit other question ...

Q: Exercise 5. (From Ira Rosenholz in the Problems Section of the Mathematics Magazine, Vol. 60 NO. 1, ...

A: This is a problem of maxima and minima of the function. Based on the first and second derivative tes...

Q: Determine whether the seies is Convergent test that you Use. divergent.write the exact or

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Q: 3x dx - 25

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Q: Question Select your answer. Find the equation of the tangent line of f(x) = x at r = -1 y = -2x + 3...

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Q: et f(x) = x³ + 4x. Using fact that f(2) = 16 find (f-1)'(16)

A: Topic:- application of derivatives

Q: IV. In each item, solve the constant of proportionality k, form the complete variation equation, and...

A: This question can be solved using the concept of constant of proportionality.

Q: Simplify the expression without using a calculator. log

A: log√61 = ? Here we use property  logab = logkb/(logka) Use this  log101/(log10√6) log101 = 0 So the ...

Q: Consider the function f(z) = 2x°- 6r on the interval -3, 3]. Find the average or mean slope of the f...

A: topic - functions and derivatives

Q: Find the domain of the function using interval notation.   f(x)=−2x(x−3)(x−5)

A: Since f(x) = -2x(x-3)(x-5)  is a cubic polynomial. And we know that the domain of all polynomial fun...

Q: nctions f(x) = 3 + VI, 9(x) = x² – 3, %3D (a) (fo g)(x) (b) (go m)(r)

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Q: (lx] + 3 , ={-2x (6x +2, I<-3 Q4) Check the continuity of f(x) - 3 <x< 3 x2 3

A: topic - limits and continuity

Q: If f(x) = 2x+11 then we can write %3D (x-1)(x²+x+1) Select one: O f(x) = 4 + x+1 x+x+1 O f(x) = + X-...

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Q: 1. Determine if the set or relation forms a function. (a){(-2, 1), (2, 2), (–1,2), (1, 2), (0, 2), (...

A: Given

Q: C: Proof that (Answer one only) S a)L (cos?t- sin²t) : %3D s2 + 36

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Q: 3sin(x) lim tan(2x)

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Q: D. • Evaluate the indefinite integral. x4-4x²+8x` dx and Identify what is the u=? and du=? Show the ...

A: Given: I=∫x4-4x2+8x2xdx   ...1 We know that; The sum rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power rule: ∫xnd...

Q: (a) Find the differential dy. y = eX/5 dy = 4 (b) Evaluate dy for the given values of x and dx. x = ...

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Q: Let the region R be the area enclosed by the function f(x) = 2 ln (x) and g(æ): revolved about the l...

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Q: sequence is defined recursively as sk = sk-1 + 3k  for k ≥ 2. s1 = 4 s2 =  s3 =  s4 =  s5 =

A: A sequence is defined recursively as sk = sk-1 + 3k  for k ≥ 2. s1 = 4

Q: f (x) = x²ex3-I

A: Given:        f(x) = x2 ex3-1

Q: For each function, determine whether it is a polynomial function. Is the function a polynomial? Func...

A: Polynomial function :A Polynomial function in standard form is             f(x) = anxn+an-1xn-1 +......

Q: Show the solution that a,+1 < a, for each n E N (-1)" п! n=1

A: Find your answer below 

Q: 15. Find the surface area generated by revolving about the y-axis that part of the curve y = In x ly...

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Q: Question Select your answer. Find the derivative of f(x) = -x² + 4x + 3 with respect to 4x + 2 x. -2...

A: Let's find. 

Q: Find the slope of the tangent to the curve x^2+3xy+y^2=5 at (1,1).

A: The equation of the curve is given by x2+3xy+y2 = 5                           .......1 The point is ...

Q: 14. A 5 m pole, leaning against a wall slips in such a way that its base is va moving away from the ...

A: According to the given problem, the representative diagram is as shown below; Let, the height of th...

Q: 10) y"-9y 0, y(0) = 2, y'(0) = 0

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Q: 4 dx 4+x4 4 V2

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Q: Find a formula for the nth term of the arithmetic sequence. a1=1, d=5 an=

A: The first term of the arithmetic sequence, a1 = 1 Common difference, d = 5 Formula : an = a1+n-1d To...

Q: LESSON 10 A Find the derivative using the three-step rule. 2. y = x - 5x +3

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Q: 5. Ollivanders is a wand shop for wizards in Hogwarts. It has been estimated that when x wands are p...

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) g(t) = tv...

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Q: I. Find the derivative of the following functions: a. f(r) = 23 + 6x b. h(r) = (3r + 4)2 c. y = Vr3

A: According to company rules, I need to solve first 3 subparts when multiple subparts are posted

Q: f(x)=6x-10 , g(x)= x^2+3x+8 (gof)(-2) = 55 none of these 25

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Q: Find dy if y =log Viax alog (L_x²) a .2

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Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the...

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Q: Q1/ sketch the region bounded by the curves. Then express the region's area as an iterated double in...

A: We have to sketch the region and find the area by using double integral.

Q: If a rock is dropped from a height of 196 ft, its poistion t seconds after it is dropped until it hi...

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Q: 0. Find a point on the line 3x +4y -25 =0 which is closest to the origin.

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