Use the four-step process to find r'(x) and then find r'(1), r'(2), and r'(3). r(x)=8-4x² r'(x) =

Q: 2. f(x)= x1/2 -2

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Q: asymptote(s)

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Q: Given the graph of f(x), find: lim f(x) A. B. 8. lim f(x) X->-2* c. f(6) -12-10-8-64-2-1

A: We have to find out limit from graph

Q: Find the average cost function if cost and revenue are given by C(x) = 151 +5.3x and R(x) = 4x…

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Q: Find all solutions to the equation cos(x) == in the interval [, 2]. 11л (A) only (B) only (C) only…

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Q: 2. Find an equation of a plane passing through the point (6, 1, 2) and containing the line of…

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Q: The mean household income in the US in 2019 was about $89,930 and the standard deviation was about…

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Q: Create 3 exact differential equations and solve for their test for exactness and also solve for…

A: A linear first order differential equation of the form, M(x,y)dx+N(x,y)dy=0 is said to be exact iff…

Q: Find the first order condition of In 1-3x + lng + 2 maxg In 1-gt 2 calcul こ g= J

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Q: Find the length of the curve r(t) = (ln(t))i + (2 t)j + (t²) k from t = to t = e.

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Q: Let: g = Find: O a. Select one: O b. О с. 3f² √5h O d. o²g oh 9f² √5h 20h³ 9f2 √5f 20h² +√√7f 9f²…

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Q: Show that the minimum value for the function f(x) = x^2 + 4x -21 happens when x = -2

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Q: Find the domain and range of the following graph in interval notation. 54 4 3- 2 -5-4-3-2 - -1- -2…

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Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

A: We know that the general equation of a straight line is y = mx+c . Here m is slope of the line and c…

Q: fxsinxdx

A: Given :∫xsinxdx

Q: y d²y = sin y. dr2 Y d'y dr2 d'y Ne dx2 7 -y=1 1 -1=Y У

A: As we know that; The standard form of the linear ordinary differential equation is:…

Q: Find the length of the curve r(t): (4 cos(t) + 4t sin(t))i + (4 sin(t) - 4t cos(t))j + (3-√3²) 2 k…

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Q: dy The solution of the differential equation 2xy dx = x² + 3y² with y(1) = 3 is dx

A: Topic = Differential equation

Q: A manufacturer of small appliances purchases plastic handles for coffeepots from an outside vendor.…

A: Given that , E=0.08 Confidence interval = 95% handles = ?

Q: Consider the equation x + 2a of the given equation? O O x= O x= P= 5a b 4 11a-b 4 b-11a 4 b-5a 4…

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Q: Which of the equation: Show your A. following is the general solution of the differential X ady - y…

A: The given differential equation is; x3dy - y(x2-y2)dx=0

Q: 7. Find the equation of the plane through the point (2, -3,5) that is perpendicular to the line x =…

A: Answer: As per guidelines we can solve only 1 question at a time, so please post other question…

Q: O-9.00 -3.00 -3.00k O-3.00 +5.00 -9.00k O-4.00 +3.00-1.00k 2.00 -9.00-2.00k O-5.00 +2.00 -6.00k

A: We will find the required.

Q: x²y' = 4x² + 7xy + 2y²

A: We use homogeneous method to solve the given differential equation.

Q: resut. 397. 398. 399. Id dx 19-2 dx 11-16x² dx √9+x²

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Q: Using f'(x) = instantaneous. rate of change Tim h→0. f(x+h)-f(x). h find f'(x) when f(x) = -4x² - 6x…

A: This question can be solved as per the concept given in the question

Q: (1 + x²)y' = x¹y¹

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Q: Which of the following functions is a solution of (x² + 1)y' + y² + 1 = 0 ? y = y = 1+x 1-x 1-x 1+x…

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Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

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Q: dx dt = cos x cos²t

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Q: function is given h(t) = 2t2 − t;   t = 3, t = 7 Determine the net change between the given values…

A: Given query is to find net change and average rate of change.

Q: Find the vector w with magnitude 17 that lies in the direction opposite of v = (1, -2,3). Show all…

A: Given vector   v→=1, -2, 3

Q: 2. Solve - (D³ – D² − 6D)y = 12x − 2 + 5e³x – 18 sin(3x)

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Q: The region bounded by the given curves is rotated about the specified axis. Find the volume of the…

A: A detailed solution is given below.

Q: The function f' defined by the formula ƒ(x + h) − ƒ(x) h f'(x) = lim h→0 is called the derivative of…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the differential dy of the given function. (Use "dx" for dx.) 6 √x dy = y = 9√x +

A: Solution is given below:

Q: igeonhole Principle Show that in any set of 41 consecutive integers there is exactly one divisible…

A: Pigeonhole Principle   (1) Show that in any set of 41 consecutive integers there is exactly one…

Q: Find all solutions u of x u =. Show all steps.

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. 4sin…

A: The given series: ∑k=1∞4sinkπ2We need to check its convergence.

Q: Which of the following equations is a linear differential equation? (choose all possible answer) A В…

A: The given differential equations are,

Q: After test marketing the new line in a large city, the marketing research departme sold per week at…

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

A: By using the method of cylindrical shells to find the volume generated by rotating the region…

Q: Find the profit function if cost and revenue are given by C(x)=173 +1.5x and R(x) = 7x-0.02x². The…

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Q: 423. ex √1-e²x -dx

A: The solution of required questions has substitution

Q: sec² (In x) cos(lnx) dx x

A: Given :∫sec2lnxcos6lnxxdx

Q: 3 3 ( xy² + y ² ) dy = ( x ²³ y ²³ + x ³ - y ³ - 1 ) dx

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Q: Y X arb 1.5 Lab Activity In BMX dirt bike racing, jumping high (or "getting air") depends on many…

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Q: 1) Calculate the following integral on the plane domain D defined by (x 20,y20 y ²0, x² + y² ≤ R²³)…

A: See this solution in below.

Q: What is a singular matrix

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Q: Consider the line segment that connects the points (-4, 3) and (-4, a). The line segment is…

A: The solution is given below