De Find the intervals where f(x) is increasing or decreasing. a f(x)=-x³ c_ f(x)=√√2-1 A. b f(x)=2x²-8 d f(x)=√x-2x B.

Q: Let/ be the continuous function defined on x € (-1,8] whose graph, consisting of two line segments,…

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Q: Let T be the tetrahedron with vertices (5, 0, 0), (0, 4, 0), (0, 0, 3) and the origin. Write [ f(x,…

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Q: Integrate the equation

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Q: A conical cup is made from a circular piece of paper with radius 8 cm by cutting out a sector and…

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Q: Use the Midpoint Rule with n=4 to approximate è, where S TT= 4 1 + x² dx 15%

A: We need to use midpoint rule to evaluate integral.

Q: Use the graph of the line to find the x-intercept, y-intercept, and slope. Write the slope-intercept…

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Q: What is the maximum vertical distance between the line y = x + 6 and the parabola y = x2 for -2 ≤ x…

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Q: 3. Find the image of the domain outside the unit circle |=1 on the upper half plane, under the…

A: We need to find image of the domain.

Q: B. 3. For each of the following functions, find and classify any turning points. Confirm your…

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Q: For what value(s) of x is the function f(x) NOT continuous? A. C. x = 3 and x = -4 x = -3 only 4…

A: We have a function f(x) , needs to find where function is not continuous. We will check where…

Q: -6-5-- 6 6+ 5 3 2- -2- -3- The graph above is a transformation of the function ² Write an equation…

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Q: Find the final amount in the following retirement account, in which the rate of return on the…

A: To find out the total future value after retirement.

Q: 2/ Find the area bounded by the two curves y = x³ and y=x

A: y=x3 and y=x

Q: dx x (x²-a²) S: dx

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Q: (b) y = lnx, y = 1-x, and y = 2. (c) y sin 2x, y = 9 cos x, x = 72 3π 2 x= "

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Q: -5 -3 -2 Ų 4 3 2 1 -1 -2 -3 A 1 2 4 Use the graph of f(x) above to estimate the value of f'(-3) to…

A: A graph of f(x) is given find the value of f'(-3).

Q: 9+ 8. 7+ 6 5 4+ 3 2 1 2 3 Estimate, to 1 decimal place, the instantaneous rate of change at x = 2.

A: Find the rate of change at x=2

Q: 33. The solution of the differential equation +Py=Q where P and Q are the function of x is a) y =…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: a. What is the partial derivative of this Hamiltonian with respect to x? b. What is the partial…

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Q: Find the x-intercepts of the following quadratic function. f(x) = -x² +9 O (0, 3) and (0, -3)…

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Q: 12+ 11 10 9+ 8 7- 16 5 4 3 2+ 1 3 Estimate, to 1 decimal place, the instantaneous rate of change at…

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Q: 6. Does the following integral converge or diverge? If it converges, what is the value? Sdx

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Q: Determine the set of points at which the function is continuous. F(x, y) = D > > = {(x, y) | × [? ▼…

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Q: Solve the following Differential Equation in LINEAR DE of Order One 1. ( y - x + xy cot x ) dx + x…

A: We need to solve D.E.

Q: Exercise 20. Let F be an Archimedean ordered field. Show that k+1 1 == . lim k→∞o 3k 3

A: Let F be an Archimedean ordered field.  To show that,  limk→∞ k+13k=13

Q: Find the exact value of the expression, if it is defined. (If an answer is undefined, enter…

A: Here we have composite trigonometric functions. First we need to solve inner function and then outer…

Q: Find the indefinite integral. (Use C for the constant of integration.) S (7√x^2 -(5/x^2)) dx

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Q: For what value of x does the function g(x) = x³ – 2x² attain the point of inflexion? A. x = -1 ن نے…

A: We have function g(x). To find inflection pointswe need to calculate where double derivative of the…

Q: EXAMPLE 2 Indicate which test should be used to determine whether the series below converges or…

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Q: 69. y = x(x + 2) (2x + 1)(3x + 2)

A: y =xx+22x+13x+2

Q: If f'(x) = 2x O x² - In(x) O x² + 1 x² - In(1x1) O x² and f(-1) = 1, find f(x). In(x) + 1

A: Here we have a derivative f'(x). Need to integrate the derivative to find the function.

Q: Given f(x) = 3x² + 7x, find f'(x) using the limit definition of the derivative.

A: The given function fx=3x2+7x. We have to find the derivative function f'x using the limit definition…

Q: Question 1: If a stone is dropped from a cliff that is 200m high, then its height, h, in metres…

A: NOTE: Refresh your page if you can't see any equations. . Since you have asked multiple questions,…

Q: (2) Using the given suggestions, apply the substitution technique to evaluate the following limits,…

A: We have to find the following limit using suggested substitution.limx→0cossinx-1sin2x  , by…

Q: Consider the integral ¹ [ cot(0) · In(4 sin(0)) dº: This can be transformed into a basic integral by…

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Q: Generic Corp, a manufacturer of doodads, has a daily marginal cost function of C'(x) = 0.81(0.08x +…

A: Marginal cost function C'x=0.810.08x+0.120.04x2+0.12x+5-25

Q: f(x)=ln(1-x^(2)) Write your answer as an interval or union of intervals.

A: Logarithmic function,

Q: The top and bottom ends of a windshield wiper blade are R 24 in. and r= 14 in., respectively, from…

A: Area of a sector of a circle is given by  A = θ360°πr2 For inner radius r and outer radius R ,  A =…

Q: a/ lim 2-3i (5-2)(z 22+5iz 3 + 3i) - 6 2

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: 14. f(x) = = x+5x 5x²-3x+2

A: Given that , fx=-x3+5x2-3x+2 Sketch a graph of the given function.

Q: Find the solution to the following differential equation x²y" + 2xy' - 12y = 0 What is the form of…

A: x2y''+2xy'-12y=0

Q: Evaluate the iterated integral. 1² 0 JO .8 cos(sº) dt ds

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Q: A system of linear equations in the variables x, y, and z is represented by the following augmented…

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Q: In a predator/prey model, the predator population is modeled by the function y = 900 cos(2t) + 8000…

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Q: a. Solve the system u = 3x + 4y, v=x+4y for x and y in terms of u and v. Then find the value of the…

A: u=3x+4y,v=x+4y

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 4 (1-2x)6 dx…

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Q: Lost, revenue, and profit are in dollars and is the number of units A firm knows that its marginal…

A: Let number of unit produced is denoted by x Let the cost function is denoted by C Let the revenue…

Q: represents the rate of growth of the size of a tumor in cm3/day, and t is the number of days from…

A: Given that f(t) gives the rate of growth of tumor. Which is 3 cm^3/day.

Q: The answer is incorrect, can you please revise your work? Thank you.

A: To find the partial derivative of the function at the given point

Q: Find the central angle 8. 0 = rad 0 5 10

A: arc is position of a circle  Given radius (r) = 5 and arc length (l) = 10