Please show every steps! Question: A 10 ft plank is leaning against a wall. If at a certain instant the bottom of the plank is 2 ft from the wall and is being pushed toward the wall at the rate of 6 in/s, how fast is the acute angle that the plank makes with the ground increasing?

Q: -TT 03/2 NE O π K4 -TT/2 2πT 6 -5 -4 2- -1- 0 -1- --2- -3 edit-graph-on- desmos Given the graph of…

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Q: If the national debt of a country (in trillions of dollars) t years from now is given by the…

A: given  N(t)=0.4+1.7e0.01trelative rate of change of debt is  dN(t)dtwe know  detdt=rtd…

Q: figured out part a. How do I do part b and how do I put it in my calculator?

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Q: PART THREE: ab* + k ➤ In this part, you are going to explore the effect of parameter k to the…

A: Given function is f(x)=2x+k

Q: 2. Subtract f(x) from f(x+h).

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Q: Create a system of linear equations Ax = such that the matrix A is a 2x2 matrix with a determinant…

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Q: Find the point at which the line (3, 4, -1) + t(-4, 4, -1) intersects the plane - 2x +2y + 5z = 74.…

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Q: Given cost and price (demand) functions C(q) = 140q+46,900 and p(q) = 2q +840, what profit can the…

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Q: Find all zeros of the function f(x) = 6x³ - 17x² Enter the zeros separated by commas. 17x² 48x + 80.

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Q: b) A farmer wants to put a fence around a rectangular paddock which is part of his block (see…

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Q: Let f(x) = 6x + 15 - 7e. Then the equation of the tangent line to the graph of f(x) at the point…

A: Given :fx=6x+15-7expoint 0,8

Q: zotolamyes Isinashon Graph f(x) == Describe the transformations using the parent function f(x) =…

A: The given function fx=1x. We have to sketch the graph of the function.

Q: sin(-1) ㅇ-ㅎ 。 kim 。 - 3

A: let  y=sin-1(-12)we know sin(-x)=-sin(x)

Q: When a deposit of $1000 is made into an account paying 4% interest, compounded annually, the…

A: Given :   Formula for average rate of change :

Q: Using the method of cylindrical shell, set up an integral to find the volume of the solid of…

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Q: Graph the following piecewise function and give an explanation why the graph is discontinuous at the…

A: Here we have to plot a graph.

Q: Let F (x, y) = 8Q A. Compute 82 yi+zj z² + y² and let C be the circle r(t) = (cost)i + (sin t) j. 0…

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Q: пn n!

A: We have to find the limit value .

Q: Find the (perpendicular) distance from the line given by the parametric equations (x(t) = -1 - 8t…

A: To find the (perpendicular) distance from the line given by parametric equations…

Q: Find the critical points, domain endpoints, and local extreme values for the function. y = - x - 4x…

A: Given, y = -x2 - 4x + 6 ,    x ≤ 1 y = -x2 + 5x - 3 ,    x > 1

Q: Consider the following. (If an answer does not exist, enter DNE.) f(x) = 2x³-12x2² +2 (a) Find the…

A: Explanation of the answer is as follows

Q: 1) A student starts at the parking lot and goes for a nice leisurely jog along a straight path,…

A: A student starts at the parking lot and goes for a nice leisurely jog along a straight path,…

Q: A rectangular box with a volume of 60 cubic meters where the length is four times the width and…

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Q: Estimate the instantaneous rate of change of g(t) = 2t2 + 6 at the point: t = - 3 In other words,…

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Q: Find the average value of the function over the given interval. f(x) = ekx on [0, 9], where k is a…

A: f(x)=ekxformula for average value of f(x) over [a,b] is favg.=1b-a∫abf(x)dxwe know  ∫eaxdx=eaxa+c

Q: A C OF E G B H D |AE| = 89.7 cm, |EB| = 541 cm, |CF| = 218 cm, |DH| = = 119 cm 18. Find BH and CG.…

A: Let's find BH,CG ,AREA AND PERIMETER OF FIGURE.

Q: Explain the symmetry which the graph of y = x(x2 − 1) has.

A: To explain the symmetry for the graph of the function y=xx2-1.

Q: Factor the following expression completely given that one of the roots is -1: y³ + 15y² + 54y + 40 =

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Q: Verify that (x) = dy dx 3 1-Ce4x Substitute p(x) for y and find the derivative to substitute for dy…

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Q: 1) A student starts at the parking lot and goes for a nice leisurely jog along a straight path,…

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Q: Initially 15 grams of salt are dissolved into 25 liters of water. Brine with concentration of salt 5…

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Q: 7. Piper has worked for the same company for 7 years, and each year she gets a raise of $2,000. In…

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Q: During the winter, a smart thermostat is set to adjust the temperature on a 24-hour cycle. It is…

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Q: 16-25 x² dx

A: Given,             ∫16-25x2dx

Q: 3. Determine whether each of the following functions is increasing, de- creasing, both or neither.…

A: Given functions are (a) f(x)=x2, (b) g(x)=x+x3 , (c) h(x)=1xx≠00x=0 As per Bertleby guideline I have…

Q: cos cos 21/3

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Q: which of the following functions of f  has a removable discontinuity at a? If the discontinuity is…

A: Please see the below picture for detailed solution.

Q: 6. Find the volume of the solid obtained by rotating about the x-axis the region under the curve y =…

A: Ans= π/2  For detail go through the solution...I have solved step by step in detail

Q: 2. If f(x)= √x and g(x)= cosx: (a) Find the function (g ◦ f )(x) and its domain. (b) Find the…

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Q: PART TWO: f(x) = abx-h ➤ In this part, you are going to explore the effect of parameter h to the…

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Q: 2. Verify that each quotient is indeterminate, and then evaluate the given limit. 1-x² 1 a. lim x→1…

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Q: A bank offers 8% compounded continuously. How soon will a deposit do the following? (I

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Q: 2. Graph the following piecewise function, then evaluate each limit below. if x ≤ 3 -x+4 x-5 if x >…

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Q: b) Rationalize the numerator of 1 1 √7(x+h) √Tx - h Simplify your answer to the form A = A " where

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Q: Find the acute angle between the intersecting lines x=5t​, y=8t​,  z=−4t  and  x=6−4t​,  y=21+5t​,…

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Q: 23. Use the given graph of f(x)=√x to find a number & such that |x4|< 8 if YA 2.4. 2 1.6 2 then 4…

A: By using the given graph of fx=x to find a number δ such that if x-4&lt;δ then x-2&lt;0.4.

Q: Find a vector parallel to the line defined by the parametric equations (x(t) = -2 - 9t {y(t) - 6t…

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Q: A drug is administered intravenously at a constant rate of r mg/hour and is excreated at a rate of…

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Q: Put dots on the graph where the "zeros" can be found. Then list the zeros.

A: Given,             The graph is shown below :             To find : Put dots on the graph where the…

Q: Evaluate the line integral 5xy² ds, where C is the right half of the circle x² + y² = 9.

A: Evaluate line integral