End Find the derivative from FIRST PRINCIPLES of A 3) 3 f(x) = 2x+1 nobonut gniwo

Q: #14. Given the integral SS² y² cos xdxdy (a) Evaluate it. "(with the given order of integration),…

A: a.)∫12​∫02π​​y2cos(x)dxdy=∫12​[y2sin(x)∣x=0x=2π​​]dy=∫12​[y2sin(2π​)−y2sin0)]dy=∫12​[y2⋅1−y2⋅0]dy=∫1…

Q: Solve the initial value problem below using the method of Laplace transforms. y" + 16y= 96t² - 48t+…

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Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: Given that A(-1,1,1)B(2,0,3)C(3,3,-4) are 3 vertex of a triangle then Side AB…

Q: Can you provide me with an example (with solutions and the process involved) of how to approximate a…

A: The objective of this question is to understand how to approximate a function using Taylor series…

Q: Find all solutions of the elation in the interval [0, 2π). cos 0-1=-1 Write your answer in radians…

A: The equation in the interval [0,2 pi).cos theta - 1 = - 1 Add 1 both sides, we get theta =0

Q: What is the rate of depreciation​ (in dollars per​ year) after 5 ​years?

A: The formula defines the salvage value, S(t), of the limousine after t years. In this case, S(t) =…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A: A.…

Q: The graph of g′ is given below:  Answer the following questions about the graph of g based on the…

A:

Q: 2 sin x+3sx=3 Write your answer in radians in terms of π. If there is more than he solution,…

A: c

Q: I need help with number 17.

A: If you're seeing the number 17 often, it might mean your guardians are trying to tell you something.…

Q: find y as a function of x if y'" + 81y' - = 0 where y(0) = 1, y'(0) = 81, y"(0) = 324

A:

Q: A model for the surface area of the human body is given by the function S = f(w, h) = w0.425 0.725,…

A: The required answer is 0.4997Please find the attached file for details...Thank you...Explanation:

Q: Find the derivative of y = cos A with respect to x. The derivative of y = cos ( 0- with respect to x…

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Q: The differentiable functions f and g are defined for all real numbers x. Values of f, f', g, and g'…

A: Therefore, the required answers are a) dxd​(x​f(x))x=4​=3b) dxd​[f(x)g(x)​]=9112​ Explanation:Step…

Q: Find dy x = p² y = 7-8t Select one: a. dy dx O b. dy ○ c. ။ *| dx dy dx O d. dy dx 16 81 18 I dy…

A:

Q: Solve the given integral equation or integro-differential equation for y(t). y' (t) +27 (t-v)y(v)…

A: The objective of the question is to solve the given integro-differential equation for y(t). The…

Q: Do not round until the final answer. Then round to the nearest cent as​ needed.

A: A thorough explanation is provided below.   Explanation:                                  So, the…

Q: Consider the equation x25 + y3 + z4 + sin(xy − z) = z2. Find ∂z∂x at the point(1, 2, 2)

A: The objective of the question is to find the partial derivative of z with respect to x, denoted as…

Q: Use Lagrange multipliers to find the minimum value of the function f(x, y) = x² + y² subject to the…

A: We know, that

Q: Find the arc length of the curve x = 3r², y = 4t³ on the interval 1≤t≤4. Round your answer to three…

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Q: Find the surface area of the solid generated by revolving the region bounded by the graphs y= x², y…

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Q: Calculate the linearization L of f(x) = at x=1. Express your answer in terms of e and x. L(x)=

A: To calculate the linearization of .

Q: Find all points (x,y) on the graph of f(x) = 2x² - 3x with tangent lines parallel to the line y =…

A:

Q: Mercury moves in an elliptical orbit with the sun at one of the foci. The length of the half of the…

A: Length of half of major axis = 56996838 kilometersEccentricity= 0.2056

Q: In this problem, p is in dollars and x is the number of units. Find the producer's surplus at market…

A: Part 1: AnswerThe producer's surplus at market equilibrium for the given product is approximately…

Q: 4. [10 pts] The function Am is defined by Am(t) = A+ Blog(x + 10). The graph of the function goes…

A: A = -1.64386A=log20−15log20−7​ B = 6.64386B=log20−12​  Explanation:Step 1: Step 2: Step 3: Step 4:

Q: The temperature of a metal plate at the point (x, y) is given as T(x, y), where T(x, y) is measured…

A: To solve for for  T_y(6,4) , we are seeking out the price of trade of temperature with apprehend to…

Q: nd the maximum rate of change of f(s, t) = test at the point (0, -3).

A:

Q: Find the directional derivative, Dчf, of the function at the given point in the direction of vector…

A: Therefore, the required answer is Du​f(2,3)=0Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Next Suppose the Sunglasses Hut Company has a profit function given by P(q) = -0.03q2 + 3q- 44,…

A: Given:a profit function given by P(q)=−0.03q2 +6q−48 where q is the number of thousands of pairs of…

Q: In this problem, p is in dollars and x is the number of units. The demand function for a product is…

A: Part 1: AnswerThe consumer's surplus is $30.Explanation:Dear student, below is the complete answer…

Q: Find equations of the following. x² - 2y²+ x² + y = 5, (5,3,-2) (a) the tangent plane (b) the normal…

A: Please refer below page.If you have any doubts please feel free to ask.Explanation:Step 1: Step 2:

Q: Σ COS n=1 пп 2

A: Given that the series is

Q: Determine the limit by sketching an appropriate graph. √1- 0sx < 1 lim f(x), where f(x)= X-1 1 1sx <…

A:

Q: A. Find the equations of the intersection line between the planes 3x + y z = 2 and x-y+2z = 3

A: Given two equations of planes3x+y−z=2 and x−y+2z=3To find: equations of the intersection line…

Q: #10 For the surface x³-2xz+y4+1=xy do: (a) Find the tangent plane at point (1,1,1),, Find…

A: (a) Equation of tangent plane at point (1,1,1) is: y=1(b) Equation of normal line at the point…

Q: 6) The region bounded by y= √x, y=2, x=0 is revolved about the x-axis to generate a solid, its…

A: The objective of this question is to find the volume of the solid generated when the region bounded…

Q: ☐ ☐ 3. Find the volume of the solid formed by revolving the region bounded by the given graphs…

A: Answer Question (3) : Correct option is A Question (4) : Correct option is C  Explanation:Step 1:…

Q: Evaluate the following double integral: x2 SL √x² + ydzdy. 0

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Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: f′(x)=−(3x−5)23​Explanation:Step 1:Step 2: Step 3: Step 4:

Q: Find f'(x). f(x)=2x-Inx³

A: f′(x)=2−x3​Explanation:

Q: B. Find the distance between the point A(-2,2,1) and the plane 3x 5y+z = 5. - C. Find the equation…

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Q: C. Find the equation of the plane that passes through the points A(1,-1,1), B(1,2,0) and C(0,1,-1)

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Q: 2. A rectangular bird sanctuary is being created with one side along a straight riverbank. The…

A: Let the length of the bird sanctuary  kmLet the width of the bird sanctuary  kmThe figure of the…

Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) 1-8 Inx;…

A: The objective of this question is to find the equation of the tangent line to the graph of the…

Q: Given the graph of f, find any values of x at which f' is not defined. Q 2 G OA x=-2,2 OB. x=2 O c.…

A: The derivative of the function is undefined when:The function has a vertical asymptote.The function…

Q: 7) The region bounded by y= √x, y= 2, x=0 is revolved about the y-axis to generate a solid, its…

A: The objective of this question is to find the volume of the solid generated when the region bounded…

Q: 1 2x STAR -1

A: y(x)=1e2x−1dydx=ddx1e2x−1Using the Chain Ruleddxf(g(x))=f′(g(x))g′(x)Using the power…

Q: Can you do part (b) ?

A: The solution is given below please refer to the solution  and if you have any doubt with regards to…

Q: Problem 1. Prove Theorem 6.14 which is given below. Theorem (Second Derivative Test). Suppose that ƒ…

A: Theorem (Second Derivative Test). Suppose that f:R→R is C3 in a neighborhood of a critical point…