Approximate the area under the graph of f(x) 1 over the interval (0, 4] using five rectangles. x +1 R5 L5 Report answers accurate to 4 places. Remember not to round too early in your calculations.

Q: 1. Bob, Glen, and Paul (the authors of our text) are sitting around enjoying their nice, cold…

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Q: Suppose a tour guide has a bus that holds a maximum of 100 people. Assume his profit (in dollars)…

A: P(n) = n(50 - 0.5n) - 100 P(n) = 50n - 0.5n2 - 100 Domain : [ 0,100 ] Now, P'(n) = 50 - n  To Find…

Q: Let f be the function x + 9 for x 2 Find the value of c that makes the function left-continuous.…

A: This question can be solved using the concept of left and right continuity.

Q: 5. Find the length and width of a rectangle that has an area of 32 square feet and a minimum…

A: Given, area A=32 sq.ft Let, x be the length and y be the width. The formula for the area of a…

Q: 9. Given y = Vx – 2/x – 2; Find y'. | Vz-2–1 2/ (z-2)(z–2/z–2) O (E) None of the choices 1-VI-2 5…

A: Given problems:- 9.  y=√(x-2√(x-2))  To find :- y'  10. Find the slope of the line that is tangent…

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Q: For each relation, decide whether or not it is a function. Relation 1 Relation 2 Domain Range Domain…

A: For 1st question, Relation 1  Image of every element is unique hence relation is function.

Q: The rate of decay of radium is proportional to the amount present at any time. If 60 mg of radium…

A: Let's find.

Q: Finding the Volume of a Solid In Exercises 26–28, use the shell method to find the volume of the…

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Q: Ilu ne mervais OT wiiich the function is increasing or decreasing. f(x) = 2x° +3x- 12x+ 17 .... List…

A: Given query is to find the interval where function increasing and decreasing.

Q: XYZ company’s cost function for the next four months is C = 500,000+5Q   (a) Find the BE dollar…

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Q: Determine the location and value of the absolute extreme values of f on the given interval, if they…

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Q: Determine whether the sequence is increasing, decreasing, or not monotonic. Is the sequence bounded?…

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Q: 4. Given the function f(x) = x2 - 6x + 9, show by IVT that there is/are c on [-3,3] such that f(c) =…

A: IVT:-  For a continuous function f defined on the interval a,b. Then for any value…

Q: f(g(x)) = 7(x³ + 6)7 and g(x) = x° + 6, find f(x). f(x) = %3D

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Q: metal cube dissolves in acid such that an edge of the cube decreases by 0.48 8mm / min. How fast is…

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Q: The slope of the tangent line at any point (x,y) on a curve is 3Vx. If the point (9,4) is on the…

A: This question is based on slope of a curve wich is given as  dy/dx

Q: clearly

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Q: For each problem, find the volume of the solid that results when the region enclosed by the curves…

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Q: 6)li

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Q: 4 dx x2 1/8 (Type an exact answer, using x as needed.)

A: We have to find the definite integral.   According to our guidelines we can solve only one question…

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Q: Find the limit. 3x +3 lim 12x2 - 8 > Next Question

A: Given query is to find indicated limit.

Q: The function f whose gradient vector is vf(x,y) = (xIn(v + 7), 7x + y + 7> has two critical points…

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Q: Jse an appropriate substitution and then a trigonometric substitution to evaluate the integral. x dx…

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Q: 11. Find the definite integral of S, 2 sinx 1+cos x dx : A. In (1+ cos x) В. 2 In 1 C. In 1 D. In 2

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Q: Given that x and y are functions of time, find the indicated rate of change. dx when y = 3 and dt dy…

A: Note: sorry for unconvince. As per our guidelines we should solve only 1st question. So please…

Q: Find each limit: 3x2 - 2x + 2 A) lim 11x? - 8x 9. T 00 B) lim エ 0 12x + 8 C) lim 8x2 + 3x 7

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Q: Find the first partial derivatives of the function. x9 - y5 f(x, y) = x + y fy =

A: The objective is to find the partial derivatives of the function.

Q: If the marginal revenue (in dollars per unit) for a month is given by MR = -0.5x + 350, what is the…

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Q: S(Võ +) 1 do

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Q: Evaluate the integral: cos(In x)dx SHOW WORK.

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Q: The critical point of the function f(x) = a – 6x? + 16x + 13 is - (1, –4) (-2,4) (2,4) (-2, –4)

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Q: Use the additivity of moments to find the COM of an ice cream cone consisting of a semicircle of…

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Q: Find the limits of integration for the area of the region enclosed by the graphs x = 2y2 and x · y =…

A: Given graphs,  x=2y2, x-y=1 ⇒x=y+1

Q: (1) Find an equation of the tangent plane to the surface at the given point. f(x, y) = x? – 2xy +…

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Q: For each problem, use the method of cylindrical shells to find the volume of the solid that results…

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Q: The demand function for a certain commodity is given by p = 100e−q/2. (p is the price per unit and q…

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Q: Question 1 differential equation Consider the following dy 2x2. - (x + 2y)? = -x?. - dx a):…

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Q: 1. S(In x)² dx

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Q: .John can swim at 4km/h in still water. He wishes to swim across a river to a point directly…

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Q: Find the solution. dy 31 +9y=2ty 5/3 dt

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Q: 1.82 Let E CR be any unbounded set. Find an open cover of E that has no finite subcover. Prove that…

A: We will proceed as follows

Q: A. Evaluate the following integrals: Sx² e**dx 1.

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Q: Analyze the graph of f'(x) (first derivative) Find all extrema. Determine which are maximums and…

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Q: Simplify your answer. HINT [See Examples 1 and 2.] dy dx Calculate y = x³(4 – x²) dy dx II

A: We need to find derivative.

Q: 2 1. Given: h (t) = : ; Find h'(t). On (t) = 8t° (1+t²) (1²+2)³ 8° (t² –1) (1²+2)° ON (t)* O (t)…

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