Find the exact area of the surface obtained by rotating the curve about the x-axis. để tế + ≤x≤1 2x' y = x³

Q: Let the function f be defined by tan(x) -1 sec(x) (a) Use the Quotient Rule to differentiate the…

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Q: Find the possible rational zeros. 5. f(x) = 4x³24x²-x+6 6.f(x)= 18x¹ + 12x³ +56x² + 48x - 64

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Q: a farmer harvested 250 bags of maizes in a season. If he sold 200 bags , what percentage crop does…

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Q: Stan ¹2 yaly

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Q: 2a. First, use your calculator to calculate the log of the molecular weight for each ladder band.…

A: Molecular weight given we find the log of molecular weight.

Q: The cost of producing xx units of stuffed alligator toys is c(x)=0.002x^2+6x+5000. Find the marginal…

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Q: Find the derivative of the function using the definition of derivative. f(x) = x³ - 6x + 8 f'(x) = =

A: The given function is;  f(x)=x3-6x+8.

Q: Differentiate. f'(x) = f(x) = 2 − xex x + ex

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Q: Find the values of x, y and z that correspond to the critical point of the function f(x, y) = 3x² +…

A: The given function is: fx,y=3x2+4x+6y+4y2 To find the value of x, y, z that correspond to the…

Q: If we ignore air resistance, then the range R(0) of a baseball hit at an angle with respect to the x…

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Q: A metal warehouse, whose dimensions are shown below, needs paint. The front and back of the…

A: We have been provided with the dimesnsions of a metal warehouse, which needs to be painted.

Q: Consider the function f defined by the formula 5x + 3(2x) f(x)=sin(ax)+ ax² 4x² +8a-1+5 if x > 1, if…

A: Condition For limit exist,  Left hand limit = Right hand limit = some value.  If limit exist, then…

Q: 1. Use the definition of derivative to find the derivative of: f(x)=√x + 2. Is the derivative…

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: Integrate with respect to x

Q: √x-5 f(x) = x² 8x 20 Find the intervals of continuity of this function f(x). - - NOTE: Use 'INF' for…

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Q: A certain radioactive substance has a half-life of 38 hr. Find how long it takes for 90% of the…

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Q: As OHaganBooks.com has grown in popularity, the sales manager has been monitoring book sales as a…

A: Concept: The equations with two variables and the largest exponent order of 1 each have one, zero,…

Q: Can you also show how to answer this type of question?

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Q: Please answer it within 30 minutes.I will upvote! Problem: -3x2+4x5+3+x4 , find the maximum number…

A: 4x5+x4-3x2+3. find the maximum number of real zeros.

Q: 3. A 50-gal tank initially contains 10 gals of fresh water. At t = 0, a brine solution containing 1…

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Q: Əw Əv 2 y Find when u = 0, v = 0 if w=x + + ₁ x= x=5u-5v+1, y = 6u + 6v - 6.

A: To find the indicated partial derivative

Q: 1. You just won 4 tickets to a concert, but you have 8 friends who would like to go with you. How…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Question 9 The given differential equation (x−y) dx + xdy=0 is a homogeneous equation. Is xln(x) + y…

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Q: Consider the function f. Evaluate the following limit. D) Lim X²-2x+1 X-3 2)Lim X²-4 X-2 X²-5Xt6 3)…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: (8) Are the following vector functions (a) r(t) (4 sin 4t, 4 cos 4t) (b) r(t)-(4 six ().4cce()) are…

A: We have to solve given Questions.

Q: What's the derivative of  y=4 sec x csc

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Q: 1. Find the arc length of the 3 1 - y = 2+ = x² from the point where 3 x = 0 to the point where x =…

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Q: dy 8. Sy sin(e-y) ey

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Q: 8. At what angle do the parabolas, y = ax and = 8 ay intersect? Ans. At (0, 0), 90°; at another…

A: According to question,Given equation of parabolas,y2 = ax,andx2 = 8ay

Q: Find the derivative of the function using the definition of derivative. f(x) = 1.5x². -x+ 2.3 f'(x)…

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Q: Evaluate the following integral. 2 f(1+ Inx)x² dx 2 (1+ Inx)x* dx = 1+ 1 In x)x* dx = (Type an exact…

A: To evaluate the following integral. ∫121+lnxxx dx

Q: Question 6 dy Given x- =2y;y (1)=2; Then y(3) = 20. dx True False

A: Topic = Differential equation  Correct Option = FALSE

Q: Find the differential equation of the family of straight lines with slope 1. a. dy=dx c. y' -1=0 b.…

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Q: Evaluate the integral. 64 64 log 32 (x+64) x+64 log 32 (x+64) x+64 -dx = dx 0 (Type an exact…

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Q: Evaluate the following integral. 2 [(1 + Inx)x* dx 2 f(1+ In xxx d dx = (Type an exact answer.)

A: We have to slove above integral

Q: A manufacturer wants to design an open-top box having a square base and a surface area of 150 square…

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Q: Evaluate the integral. [ dx (x² - 1)3/2

A: The given integration is: ∫261x2-132dx  To evaluate the integration.

Q: Question 27 Compute the integral. ff xdy dx A) 6,561 (B) 405 )9 D) 0 E) 3,280 5

A: Topic = Integration

Q: The function f(x) = = x³ + 7x² +0x - 16 is graphed below. Plot a line segment connecting the points…

A: The Mean Value theorem States: If f(x) is a function such that f is continuous on the closed…

Q: Is the derivative 15?

A: Given, y=15xcosx The derivative is y'=15cosx-xsinx

Q: ose that f(x, y) = x³y². The directional derivative of f(x, y) in the directional (-3, 3) and at the…

A: Directional derivative of f along u is given by  Grad f . u/|u|

Q: Sketch the region enclosed by y = 2x and y = 9x2. Find the area of the region.

A: We have to sketch the region enclosed by y=2x and y=9x2. Also, we have to find the area of the…

Q: Answer the ff. differential equations. Show complete solutions. 1.) (r+sin-cos)dr +r(sin 0 + cos0)d0…

A: Topic: Differential Equation   The answer is given below:

Q: Find the equation of the specified line. y(x) = through (-4, 8) with slope -1

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Q: Roll a fair die and let x be the square of the score that shows up. Write the probablity…

A: This is a problem related to probability distribution. Please follow the procedure given below.

Q: What's the derivative of  y=(xsinx)/(5+cosx)

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Q: 4. Kemi and her friend Zarwan meet up for lunch with a group of friends. Zarwan leaves shortly after…

A: We have to find the required.

Q: What is the exact value of the expression? tan (7) + sin (57) · cos (− ³) 4√3+3√6 12 O O 4√3+3√2 12…

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Q: Let exy = 5x + 3y + 15. Use implicit differentiation to find the derivative of y with respect to x.…

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Q: Let Compute f'(2). ƒ(x) = x³ + 3ª

A: This is a problem related to differentiation of the function. Please follow the procedure given…