Determine if the series diverges. If it does diverge, type a upper case D as your answer, and if the series converges what does it converge to? 1/4+2/7+3/12+...+ n n²+3 +...

Q: Question 7 What is a function that could have 4e4 as its derivative? Question Help: Message…

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Q: Use a linear approximation (or differentials) to estimate the given number sqrt(99.2)

A: SolutionLet f(x)=√x and use the linearization at a=100

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A: For a Function f( x ) at If Function is continuous at  then

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A: r=7+6cos⁡(θ)

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A: Consider the following. To find the equation of the ellipse.To find the foci of the ellipse.

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A: Assume that  are both  differentiable  functions of t.(a) To find , given that (b)  To find , given…

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A: Given curve:Unit tangent vector is given by,Therefore,

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A: To find the unit tangent vector on the curve .Note: Since the student has posted multiple questions…

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Q: S Write an equation for a line parallel to y y = -4x + 4 and passing through the point (4,-2

A: To find the equation of a line parallel to y=−4x+4 and passing through the point (4, -21), you can…

Q: y-values 9 8 7 6 5 4 3- 2 1 If f(x)= = g(x) 41 g(x) h(x) f'(3) -- 2/17 3 2 3 x-values then 4 X…

A: The given function is The formula we use to find the derivative of function f(x) is Quotient rule…

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A: The given differential equation

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A: r=6cos⁡(θ),θ=π3

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Q: question e,f

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Q: Solve | | - 3x +8 24

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Q: Evaluate the following integral using integration by parts. Se 10x cos x dx

A: I=∫e10xcos⁡xdx

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Q: Find f'(1) if f(x)= x + 1 √x + 1 A

A: we need to find the derivative of function at point x=1.

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

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Q: 0 1 1 3 X g(x) g'(x) 2 33 2 3 25 -2 3 2 0 50 4 -1 0 -3 4 Enter your answer as a whole number (like 6…

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Q: b) Consider the triangle formed by the side of the house, ladder, and the ground. Find the rate at…

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Q: Second Derivative Test 1. Find the first derivative of the function g(x) = 6x³ +54x² + 144x. g'(x)…

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Q: 11. Identify the horizontal asymptote of * 3 f(x) = +2 x-2 Oy=1 Oy=2 y=3 Oy=-2 Identify the domain…

A: Horizontal asymptote:If  then the line y=L is the horizontal asymptote of the function f(x)

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A: If we need it in the form P = P0 ektGiven, the P0 term is there (it is 110)The only thing we need to…

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Q: f(0) = ln(cos 0) f(x) = log5 √√5x+1

A: f(θ)=ln⁡(cos⁡θ)

Q: K An apple farm yields an average of 43 bushels of apples per tree when 23 trees are planted on an…

A: We solve the given problem by using the concept of derivative.

Q: (a) In(2x + 1) + In(10) = In(50) (b) (c) log(9x + 1) = 2 e2x - 3ex + 2 = 0

A: Given equations to solve for 'x'

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A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: Evaluate the following integral. A sketch is helpful. R 3 15x² dA; where R is bounded by y = 0, y =…

A: To find:- Where R is bounded by

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Q: g(x) = ln (xe³x)

A: According to Bartleby guide line we only do first part. Please re post other part in next…

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A: An employee's monthly productivity M, in number of units produced, is found to be  a function of…

Q: Evaluate the following integral using trigonometric substitution. x² √√64-x² S dx

A: I=∫x264−x2dx

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Q: Let f(x) = (6-x-x² 2x - 9 Calculate the following limits. Enter "DNE" if the limit does not exist.…

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Q: 5- 4+ 3- 2- 1 -1 -2 -3 -4 -5 J/2 Find lim f(x) XIT л 37/2 The graph of the function f(x) = cotx is…

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Q: 1. Consider the ellipse given by x(t) = 9 cost and y(t) = 81 sint for 0 ≤ t ≤ 2π (a) Make a sketch…

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