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

Q: Suppose you deposit $7000 at 6% interest compounded continously. Find the average value of your acco...

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Q: Given the function f, discuss its relative maximum and minimum points, the intervals where it is inc...

A: A function f(x) is increasing on (a,b) iff f'(x)>0 ∀x∈(a,b) and decreasing on (a,b) iff f(x)< ...

Q: Suppose that the equation of motion for a particle (where s is in meters and t in seconds) is 8 = si...

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Q: Inn E-1 n2 =2

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Q: 1 Let an = n > 3. nVlnn +00 (c) Use the Integral Test to determine if the series an converges or div...

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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: What is the maximum value of f(x) = x³ + 3x² -2 ? Answer:

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Q: The first derivative of a continuous function y = f(x) is given. Find y'" and then sketch the genera...

A: topic -  derivative and graph

Q: Find the average value of f(x) = ln r on the interval [1,5].

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Q: Use the function below to answer the following questions. m(x) = - -5 (a) Use transformations of the...

A: Solving the problem by finding the domain,range and asymptotes.

Q: 2x² +3 dx x(x – x(х — 1)2

A: Find your answer below 

Q: Ty int Let z = Then. 5z2-5y2 az

A: topic-  implicit differentiation 

Q: 1-1 2. (-1)^- n=1

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Q: To evaluate the integral V-x² + 9 xp- which of the following substitution should be used? Select one...

A: ∫-x2+9xdx

Q: 4. Find the constant a so that e +y = I-l is an implicit solution to e %3D tay O 5/2 О 32

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Q: Given the functions f(x) = 3+ Vã, g(x) = x² – 3, h(x) 1 - x m(r): I - 3 find the following: 3x + 5' ...

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Q: 7x2 Let f(x) Then 6 – 5x f' (æ) = %3D and f" (x) =

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Q: A cylindrical tank with radius 5 m is being filled with water at a rate of 4 m³/min. How fast is the...

A: Find your answer below 

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

A: First draw the curve then use the disc method to find the solid obtained. 

Q: f(æ) = (62² – 5)*(5æ? – 3)" - f' (x) =

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Q: A. Prove that the function is discontinuous at the number a. Determine whether the discontinuity is ...

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Q: Differentiate the function. 1,2 g(x) = 6. 6x + 15 | g'(x) = %3D

A: topic - derivative of a function

Q: Find the slope of the tangent line to the graph at the given point. (4 - x)y? = x3, (2, 2) Cissoid:

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Q: Find the 65th derivative of sin(x) by finding the first few derivatives and observing the pattern th...

A: Given:      y = sin x

Q: (-1)"+12nx" n2 + 3 n=1

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Q: For the function f(x) =x - 4, construct and simplify the difference quotient f(x+h)-f(x) The differe...

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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: Problem 6. Consider the curve defined by y2 – 4xy + 2x? = 7y. Write the equation of the tangent line...

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Q: Find the value of k that will make the function f(x) continuous. -x2+8, if x+ 3 f (x) =, k, if x=3

A: topic - limits and continuity

Q: Activity 1 Determine whether the following functions are continuaus or not. If they are not, classif...

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Q: Given vector Á = -3î + 4ĵ and B = î + 2j. Find vector V where magnitude is 3 and the vector is %3D p...

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Q: Determine if f and g are inverses of each other. (a) f(x)= V -3-2 and 9(x) = (x+2)° + 3 2x +1 g(x) =...

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Q: Consider the following system of linear equations. 5x+20y=-10 -6x-28y=12 Solve the system by complet...

A: Given: 5x+20y=-10-6x-28y=12

Q: L'Hôpital's Rule does not help with the following limit. The expression keeps on cycling. Find the l...

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Q: 10. Vx – 1dx 15 32 32 b. 15 a. 32 d. none of the choices C.- 15

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Q: Evaluate (x+1)2 In3x dx Then, write the coefficient of the integral: Blank 1(*+1) ³ In3x + Blank 2 x...

A: topic - indefinite integral

Q: dy given that dx Use logarithmic differentiation to find sec-(T) 4sech(5z) (log6 x)" y =

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Q: I. Use the limit of the rates as Ax approaches zero. Ax 3. y = x3

A: Given: - y=x3, the limit of rates ∆y∆x as ∆x approaches zero. To calculate: - The complete solution ...

Q: Specify the unit vector extending from origin toward the point G(2,-2,-1). Graph a vector V in the s...

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Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,...

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Q: 2х-1 dx 3 A 2x– 1) 2 1 -(2x- 1)2 + C 3 1 (B) (2x- 1)2 + 등(2x-1)2 + C 10 3 (2x-1)2 + 10 (2x-1)2 + C 3...

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Q: 2. Which of the following is correctly matched? O z'y" - e"y" + sin r(y') = 0: linear, third order O...

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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: a) The curves y = x² and x = y?. b) The curves y = x² and y = } – x².

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Q: Find dy/dx by implicit differentiation. Then find the slope of the graph at the given point. x3 + y3...

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Q: tan (x) sec" (x)dæ

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Q: consider the following  5^-x/50=9 a) find the exact solution of the exponential equation in terms ...

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Q: 12. The line y = 8x + b is tangent to the curve y = 2x². Determine the point of tangency and the val...

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Q: Let y=(x+sin(x))^5 Find g(x) and f(x) so that y=(f∘g)(x), and compute the derivative using the Chai...

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