Consider the function f (x) = x³ - x. Find the maximum and minimum value of fon [1,1]. Round your answers to two decimal places. Maximum i = Minimum = i

Q: Evaluate § A² B³ dx where A = sin(f(x)), B = cos(g(x)), and f(x) = g(x) = 4x.

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Q: Let f(x, y) = sin2(x)cos(y). Calculate 22 ахду -f.

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Q: Use a linear approximation to estimate √49.4. a. What is the ideal linear function for this…

A: The linear approximation formula

Q: For the function y = (x² + 4)(x³ - 4x), at (-2, 0) find the following. (a) the slope of the tangent…

A: given function

Q: Solve algebraically for all values of x: 3x5 - 3x = 0

A: Given that the equation we have to find solve the given equation

Q: Use f(x) = sin π on the interval [0, 2] in this problem. a. Show that Rolle's Theorem can be used…

A: Consider the function

Q: Simplify the expression completely. 49 +4√−9+ √512

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Q: Determine whether the degree of the function is even or odd and whether the function itself is even…

A: Determine whether the degree of the function is even or odd and whether the function itself is even…

Q: The function f(x) = 4x² – 24x + 64 has a Select an answer of - Select an answer minimum maximum at x…

A: The given function is

Q: 24. A jar contains 12 differently colored balls. If you remove all the balls, one at a time, how…

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Q: 1 kp 1 kp 1 kp converges diverges diverges X X

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Q: Let f(x) = 4x + 3x². Compute the difference quotient f(x+h)-f(x) h and simplify it so that it has…

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Q: Let f(x, y, z)= exy sin(x+y) Calculate fxxz· z²+1

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Q: (7.3) Find the inverse Laplace transform, L-¹ 1 2s + 14 s² + 2s + 10.

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Q: Find the approximations Tn Mn and S, for n = 6 and 12. Then compute the corresponding errors E, EM…

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Q: What interest will be earned if $7000 is invested for 8 years at 11% compounded monthly? (Round your…

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Q: 19. A water wheel with radius 7 metres has 1 metre submerged. The wheel rotates at 6 revolutions per…

A: A water wheel with radius 7 metres has 1 metre submerged. The wheel rotates at 6 revolutions per…

Q: Suppose that the volume, V, and radius, r, of a sphere are changing with respect to time and satisfy…

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Q: 29. In an attempt to clean up your room, you have purchased a new floating shelf to put some of your…

A: Find the number of ways of putting the books in shelf.

Q: According to the Mean Value Theorem, if f (x) = x² then there exists a number c, 1 < c < 6, such…

A: According to the mean value theorem, if  there exists a number c,  such that f'(c)= a.The mean value…

Q: Question 2 Using the "PIECEWISE" command, plot the given function and label all critical points. Be…

A: A point is said to be critical point if the derivative is zero or does not exist ie At that point…

Q: Consider the following. f(x) = 3x² + 7x - 13 (a) Find the instantaneous rate of change of the…

A: given function

Q: 5. a) Draw the graph of a function for which the conclusion of the mean Value Theorem does not hold.…

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Q: a) f(x) = 5x4 - 20x³ + 10

A: Inflection points:Inflection points are the points where f''(x) = 0 or not defined.If f''(x)&gt;0 on…

Q: The p-test says that: • if p 1 then the series ● 8T8 T8 T * * * * * * Select an answer Select an…

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Q: Obtain an exponential function in the form f(t) = Aert.f(t) is the value after t years of a $1,000…

A: The objective of the question is to find the exponential function that represents the value of an…

Q: 4. Find the partial fraction decomposition of g(x): g(x) x² +1 x(x² + 1)²

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Q: Find the derivative. g'(x) = g(x) = sinh?(x)

A: Consider the function

Q: Solve algebraically for all values of x: x5 + 11x¹ + 30x³ = 0 4

A: The given polynomial equation is

Q: Suppose a company's total cost for a product is given by C(x)=30000-60x+0.3x^2 and the total revenue…

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Q: Long-Term Investments   This exercise is based on the following table, which lists interest rates on…

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Q: 5n (c) Σ(-1)"-1 3n-1 n=1

A: Consider the series

Q: (d) Find the x-coordinate of each point of inflection on the graph of y=g(x). Give a reason for

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Q: Consider the water tank below. If the tank is half full, find the amount of work required to pump…

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Q: Solve algebraically for all values of x: -81x² +100 = 0

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Q: Find an equation of the slant asymptote. Do not sketch the curve. x² + 2 x + 2 y = f(x)

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Q: The radius of a circular disk is given as 19 cm with a maximum error in measurement of 0.2 cm. (a)…

A: Given data regarding the question Area of circular disk whose radius is r is given as

Q: Find the absolute maximum and absolute minimum values of f on the given interval. (If an answer does…

A: f(x)=−3x4−20x3 on [−7,−2]

Q: Find the derivative. F'(t) = F(t) = In(sinh(5t))

A: The given function is; F(t)=ln(sinh(5t))

Q: Jake Werkheiser decides to invest $5000 in an IRA at the end of each year for the next 6 years. If…

A: Step 1: The future value of the first investment is $5000 multiplied by 1 + 0.13 raised to the power…

Q: The base of a right triangle is decreasing at a rate of 3 meters per minute and the height is…

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Q: The height of the cylinder is 8 inches. We'll be analyzing the surface area of a round cylinder - in…

A: Given that the height of the cylinder is  inches Total area of cylinder At  inches

Q: n {an} = {√n²+1 }

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Q: Let lim g(x) = -5_and_lim h(x) = 9 x→4 Determine the value of the limit lim [g(x) — 9 ]² x-4 Enter…

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Q: f(x) = −5x³ +1 x y -2 -1

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Q: Find the limit. (HINT: Treat the expression as a fraction whose denominator is 1 and rationalize the…

A: We have to find the limit:

Q: III. Find the particular solution of each of the following. dx 2x dy y = 7y¹; when y=1,x=-1 1.…

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Q: A manufacturer has determined that an employee with d days of production experience will be able to…

A: A manufacturer has determined that an employee with d days of production experience will be able to…

Q: (x-37 a way that extends HG)= 34) Define h(₂) in a way (+²+36-10) / (4-2) to be Continous at 1-2

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Q: The circumference of a sphere was measured to be 84 cm with a possible error of 0.5 cm. Use linear…

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