What is the rate of change of distance between the top of the ladder and the ground?

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A: Given problem:- A cardboard box manufacturer wishes to make open boxes from rectangular pieces of…

Q: n E (4 + 2k)? = k=1 Hint: Start by multiplying out (4+ 2k)².

A: I am attaching image so that you understand each and every step.

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Q: Perform the indicated operation if possible. If not possible, enter "DNE": -9 5 5 2 0 5 -2 -5-9 -7 4…

A: We have to perform the given operation.

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A: Given:

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A: Given question:- Find the point where the second derivative changes sign from negative to positive.

Q: TC=575+2Q

A: ANSWER Is in next step

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Q: Problem 2. Do both parts. 12 4 8 Part (a) Find the sum: + ·+· 3 9 27 81 Part (b) Solve the equation…

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Q: Find all zeroes of f(x) = 4x² - A) --/1/201 B) 1 3x² - x. Check all that apply.

A: f(x)=4x4-3x2-xZeros:4x4-3x2-x=0x4x3-3x-1=0x4x3-4x2+4x2-4x+x-1=0x(4x2(x-1)+4x(x-1)+1(x-1))=0x(x-1)(4x…

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Q: Find the Taylor polynomial of order 3 generated by f at a. f(x) = 1 X+8,a=1 OA. P3(x) = -1/- x-1…

A: Use derivative for finding the taylor polynomial.

Q: Find the differential dy of the function y = Provide your answer below: dy = dx 5x4 + 4 4x + 3

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Q: 6. The initial population of a town was 12000. After 5 years the population increased to 38000…

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Q: Let the graph below represent an object's velocity as moves away from a sensor. At what time, in…

A: This integration can also be found from area under the curve .

Q: 8. If the graph of h(x) goes thro following statements are true fc

A: 8) y=h(x)g =h(x)This transformation only affects y-value.A(-16, 4)y(x=-16)=4, g(x=-16)=4 =2A' (-16,…

Q: Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the…

A: A)P(x)=R(x)-C(x)       =5x -(0.003x2+1.4x+60)P(x)=3.6x-0.003 x2-60b)R(50)=5(50)…

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Q: 6. The graph off consists of line segments and a semicircle, as shown in the figure. Evaluate each…

A: Topic:- integration

Q: Solve the system using Cramer's Rule. - 6z + 2y + 6z = – 14 - 3z - 4y + 5z = – 6 - 5z + 3y –2z = 1…

A: To solve the following system of equations bu using Cramer's…

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A: This question can be solved using the concept of tangent and normal under application of…

Q: Find T(t) and N(t) at the given point. r(t) = 8 cos(t)i + 8 sin(t)j; t = 1|3

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Q: Determine the maximum value of f(x)=-x²+2x²+2 on -2 ≤x≤ 3. a) 3.185 b) -7 Od 2 d) 18 2

A: To find the maximum value of the function.

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A: Solve the following

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Q: A 10-ft ladder is leaning against a house on flat ground. The house is to the left of the ladder.…

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Q: For items 1-5 A 10-ft ladder is leaning against a house on flat ground. The house is to the left of…

A: A 10‐ft ladder is leaning against a house on flat ground. The house is to the left of the ladder.…

Q: A-28. 3. |A| = 3, B = 8, and the angle formed by A and B is 45°. Determine A - 2B

A: We have to solve above question

Q: 5, i, Evaluate the first and second derivatives of the function z=2x4+3x3+2x-5 when x = 4.

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Q: For items 1-5 A 10-ft ladder is leaning against a house on flat ground. The house is to the left of…

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Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as…

Q: For items 1-5 A 10-ft ladder is leaning against a house on flat ground. The house is to the left of…

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Q: Solve the given differential equation by undetermined coefficients. y'' + y = 6x sin(x)   y(x)=

A: Follow step 2nd .

Q: 22. Differentiate. y = asinh x

A: Given,  y=xsinh x

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A: Rate

Q: Let F(x) = f(g(x)), g(2) = -2, g'(2) = 4, f'(2) = 5, and f'(-2) = 7. Find the value of F'(2). Let…

A: 1st we have to differentiate the given function and  then put the given value.

Q: approximate sin 85° Sin a to 4 decimal poths. Compart to ne exact value if you using P(x) of me…

A: Here, to find the Taylor polynomial of the function f(x)=sin x around the point a=π2 which is given…

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Q: 95 Μ: Μα (2) Σ k = (0) Σ 23 . = k=1 115 « Σ 6k +4 = k=1 k=1 95

A: Given problem:-