Graph the function: f(x)=(x-3)² 4-X if x<2 if 2≤ x ≤4 if x>4

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A: The objective of this question is to find the capacity of a new sandbox that is twice as long, twice…

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Q: 37. f(x) = 2x +1 on [0, 4]; n = 4 38 f(x) 2.com-1mo TO 17:

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: How about #2?

A: The given differential equation is  ,

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Q: Problem Given that the graph of f(x) passes through the point (0, -3) and that the slope of its…

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Q: Graph the polynomial P( (e) Sketch the graph O points in each inter

A: We need to solve function and draw graph.

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Q: Consider the following vector field. F(x, y, z) = 4yz lnxi + (3x − 7yz)j + xy6z³ (a) Find the curl…

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Q: 20. Use the graph of y² = 9x + 9 to determine what type of symmetry the graph displays. 3r

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Q: Find the maximum and minimum values of the function g(0) = 40 – 9 sin(0) on the interval Minimum…

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A: Given that the equation we have to find the exact solution of the given equation

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A: The objective of the question is to understand the geometric meaning of the integral of a function…

Q: Graph the polynomial P(r) = r³+r²-5r +3 using calculus by showing the given steps: (a) Find the r-…

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Q: Find the antiderivative F off that satisfies the given condition. Check your answer by comparing the…

A: The function is given byTo determine: The expression of antiderivative .

Q: Caffeine occurs naturally in a variety of food products such as coffee, tea, and chocolate. The…

A: Caffeine occurs naturally in a variety of food products such as coffee, tea, and chocolate. The…

Q: Find the maximum rate of change of f(s, t) - test at the point (0,-5). Answer:

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Q: Find the equation of the parabola described below. Find the two points that define the latus rectum,…

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Q: Find the area of the region enclosed by the curves y=x² - 6x and y = − x² +6x. The area of the…

A: Consider the curves

Q: Find the limits of integration ly, uy, Ix, ux, Iz, uz (some of which will involve variables x, y, z)…

A: The given plane equation is To find:- The limits of integration

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A: To find  where  is the portion of the plane  in the first octant

Q: The function g(x) is defined by the rule 9(x)=f(3x+1). If the point (-8, 6) is on the graph of the…

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Q: Evaluate the integral by interpreting it in terms of areas. 3 6.³ |2x - 3| dx

A: Simplify the absolute value of expression under integrand.

Q: Consider the series. -7/12 +49/144 - 343/1728 +2401/20736 + ... Determine whether the series…

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Q: Estimate the magnitude of the error involved in using the sum of the first five terms to approximate…

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Q: The amount of charge passing through a surface, given by a function Q(t), is measured in coulombs C.…

A: Given:To Find: To amount of charge that passes through the surface after 10 seconds.

Q: The augmented matrix of a system of linear equations is given in reduced row-echelon form. Find the…

A: To find the solution of the following system.

Q: 7. Find the parametrized equation for the intersection line of the planes 2x+y-z=1 and 4x - y = 3.

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Q: b g(b) Use the Substitution Formula, f(g(x)).g'(x) dx = [f(g(x)) +g'(x) dx = [ g(a) a 1 -1/²/313…

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Q: Eliminate the parameter t to find a Cartesian equation in the form x = f(y) for: 4t² = [x(t) = ly(t)…

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Q: Now lets explone how to find the distance between two Skew lines. Consider the following two lines…

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: Given: (x is number of items) Demand function: d(x) = 300 -0.6x Supply function: s(x) 0.2x Find the…

A: As per guidelines we can answer only first question if multiple questions are posted.Please repost…

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. x = (y² + 2)³/2,…

A: The area of the surface of revolution of  rotated about the x-axis on  is:

Q: Solve the equations below exactly. Give your answers in radians, and find all possible values for t…

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Q: 1 Consider the functions f(x) = 7x + 1 and g(x)= 7(x-1). (a) Find f(g(x)). (b) Find g(f(x)). (c)…

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Q: (-1)" « * Σ(n+1) (c) n=1

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Q: 1. [-¹. 2S-5 2 S² + 4s +8

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Finish solving the triangle: A ZA = ZB= ZC = 1. a a = C 7 b= 10 C = 9 Enter your answer as a decimal…

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Q: Use the alternating series estimation theorem to determine how many terms should be used to estimate…

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Q: 1 = Is the area between the graph of f(x) and the x- axis over the interval [1, ∞) finite or in…

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Q: For the function f(x, y) = x^2 + kxy + y^2 where k is a constant, determine if f(x, y) has any…

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Q: A triangular plate with height 6 ft and a base of 8 ft is submerged vertically in water so that the…

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Q: Use a triple integral to find the volume of the solid bounded by the surfaces z = 2e and z=2 over…

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Q: Sketch the graph of the quadratic function. f(x) = x² + 4x + 4 O S No Solution Help -10 9 8 7 6 5 4…

A: To sketch the graph of the following quadratic function.To indicate the coordinates of the vertex,…

Q: 3 Calculate the flux of the vector field (³, y³), out of the annular region between the x² + y2² 9…

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Q: Find the relative extreme points of the function, if they exist. Then sketch a graph of the…

A: Consider the function

Q: Find the partial derivatives of the function 뚝뚝층 _w = V2 + 182 + 2t2

A: The Power Rule:The Chain Rule: