Answer: Suppose f(x) is continuous on [2,8] and -5 f'(x) ≤2 for all in (2,8). Use the Mean Value Theorem to estimate f(8) - ƒ(2).

Q: Finad the linearization at the given points. f(x)= 6/x^2 at (2, 3/2)

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Q: Find the following limits

A: The final answer is:The limit does not exist.Explanation:

Q: Do both part a and b ASAP

A: detailed solution of the problem is attached below.feel free to comment below if you need any…

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Q: Part 1 of 3 35 3 << 37 2

A: Given that the expression

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Q: The graph of the derivative of a continuous function f is shown. (Assume continues to .) y 4 y-fix 2…

A: As per our guidelines we can answer only 3 subparts of a given question so kindly repost the…

Q: Consider the following function. (If an answer does not exist, enter DNE.) f(x) = e−x^2   Find the…

A:

Q: For which values of t is the curve concave upward? (Enter your answer using interval notation.)

A: To find the values of  for which the curve is concave upward.

Q: Find all points of intersection of the graphs of the equations. r = 1 + sine r = 3 sinė Select one:…

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Q: Find the value of the expression lim t→ꝏ -e-3t +5

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Q: The demand, D, for a new rollerball pen is given by D = 0.007p³ -0.4p² + 130p, where p is the price…

A: The demand D, for a new rollerball pen is given by D=0.007p³-0.4p²+130p,where p is the price in…

Q: Find the area of the common interior of the polar equations = 2(1 + sine) and 7 = 2(1 - sine) by…

A:

Q: An investment of $10,000 earns interest at an annual rate of 6.7% compounded continuously. Find the…

A: $716.43 per year $900.55 per yearExplanation:To find the instantaneous rate of change in the amount…

Q: A. The instantaneous rate of change of demand with respect to price is _____when the price is ​$30?…

A: a) The instantaneous rate of change of demand with respect to price is called elasticity of demand.…

Q: [ In(x² + 1) dx

A: integrate

Q: 5 K 7 10

A:

Q: Find the linear approximation L(x) of the function (x) V1 + x at a = 0. L(x)= Use it to approximate…

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Q: horizontal asymtotes of  1 (x−3)2

A: The objective of this question is to find the horizontal asymptotes of the function 1/(x-3)^2. A…

Q: A graphing calculator is recommended. in the viewing rectangles [0, 10] by [0, 1] and [0, 100] by…

A:

Q: Two towns A and B are 5 km and 7 km, respectively, from a railroad line. The points C and D nearest…

A: Answer Explanation:

Q: Find the length of the curve over the given interval. r=4(1+ cose), 0 ≤0≤2π Select one: ○ a. 32 O b.…

A: Summary:The correct option for the length of the curve over the given interval is (e.)…

Q: 3. f(x) = (x - 1)² x2+1

A: The given function

Q: Let a = . Find a unit vector in the direction of a

A: Unit vector in direction of a isa^= &lt;45​2​,45​−4​,45​−5​&gt;Explanation:Given:a=&lt;2,−4,−5&gt;…

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A: given equation

Q: Joxe 4x dx = +C

A:

Q: n Find the length of the curve = 3 over the interval 02π. Select one: a. 9π b. 2π C. TT d. 6π e. 3元

A: Length of the curve r = 3 is: 6π Option d. is correct.Explanation:Step 1:The arc length of a polar…

Q: K You want to build a 1000 square foot rectangular infinity pool. Three of the sides will have…

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Q: Write out the general form of the partial fraction decomposition of the function (as in Example 7).…

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Q: Please don't provide handwritten solution ....

A: The objective of this question is to find the distance between airports A and C. This can be solved…

Q: horizontal asymtotes of x2+3x+2 x−1

A: The objective of this question is to find the horizontal asymptotes of the function (x^2 + 3x + 2) /…

Q: 1. Explain how you can solve the equation graphically, then provide the solution. Algebraic…

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Q: Find the curve's unit tangent vector. r(t) (2 cos ³)+(2 sin ³1) k. Find the curve's unit tangent…

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Q: Determine whether the series is convergent or divergent by expressing the nth partial sum s, as a…

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Q: Problem #3: Consider the following function. f(x, y) = x3+18xy-912 (a) Find the critical points of…

A: (a):  (c) (0,0), (6,-6)(b): -324,324(c): (E) Saddle point , Relative minimum Explanation:

Q: +x 2 1 dx X

A:

Q: Use the method of Lagrange multipliers to prove that the rectangular box with maximum volume that…

A: The objective of this question is to prove that the rectangular box with maximum volume that has a…

Q: Find f'(x) and simplify. f(x)=7׳ (x² -9)

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Q: (f'(x))² = 4 (52 – 8) - 25 = 20x 32 (f'(x))2 into the surface area equation above to find Surface…

A: To show

Q: Find f'(x). f(x)=4xex

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Q: The graph gives the number of farms in the United States from 1850 to 2000. y 7000 6000 5000 4000…

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Q: Use implicit differentiation to find y' and then evaluate y' at (6,-5). 6xy+y+185=0 y' = ☐ y' |…

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A: given function

Q: 2 4-y²² #13 Given S² S√4-y 0 0 (y) ddy (a) Write down inequalities. in xy representing the region R…

A: 4πExplanation:Step 1: Step 2: Step 3: Step 4:

Q: Can you solve y = ln(2x-3)  in a simple fashion?

A: The solution is x = (ey + 3)/2.Explanation:We solve y = ln(2x - 3) for x  by eliminating the…

Q: (9x8 - 2x - 6) dx

A: The given integral is

Q: Find the area of the interior of * = 10+2sinė

A: r=10+2sin⁡θFor the interior area,0≤θ≤2πA=∫r22dθ