F Find the area of the region bounded by the curve y = x³ and the lines y = -x, y = 1. (Draw the region)

Q: √5x²-3 d X - X -dx

A: Given problem:-

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A: Given that,   y=sin xx3

Q: mathematically

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Q: > Write a triple integral including limits of integration that gives the volume of the cap of the…

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A: We have to find out the derivative

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A: topic- indefinite integral

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Q: f(x)=(5x² +8x)

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Q: 3. Use a known Maclaurin series to obtain the Maclaurin series for the following. f(x) = x cos (₁)

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Q: Find the area of the surface generated when the given curve is revolved about the x-axis. X₁ 1 y=6 1…

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Q: Find the derivative of f (y) = 5 sin6 (yª).

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Q: Suppose that f is a function given by f(x) = -2x + 7. Which is TRUE about the function? O lim/→0…

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Q: For the following exercises, use the second derivative test to identify any critical points and…

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Q: Use a graphing utility to sketch the intersecting graphs of the equations and determine whether or…

A: topic- equations and their slopes

Q: For the following exercises, use the second derivative test to identify any critical points and…

A: First find the first partial derivatives and equate it to zero and find values of x and y. Then find…

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Q: P af af Q3.If f(x,y)=sin(x-3y) + sin(x) find: and əy ax

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Q: A company determines that its demand function is given by p(q) = -0.4q+ 1841 and that its cost…

A: To find out the marginal revenue at 2785 items.

Q: The function y = a. O a=3 O a = -2 ax4 +has a minimum at the point (√(√)). Determine the value of…

A: Use derivative and find maximum or minimum value

Q: 150. Determine the real number a such that vectors a = -3i+2j and b = 2i+aj are orthogonal.

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Q: Find the derivative of ƒ (x) = 8ª ln (x).

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Q: The function f(x) = 2x³ − 42x² + 270x – 4 has two critical numbers. The smaller one is x = and the…

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A: A detailed solution is given below.

Q: ܐܐ 19. dz 'z(nz5

A: Solution is done in step 2

Q: An inner-city revitalization zone is a rectangle that is twice as long as it is wide. The width of…

A: topic- application of derivatives

Q: Suppose and are non-zero, parallel vectors. Which of the following could not possibly be true?

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Q: Determine the third order MacLaurin's polynomial for f(x) = ex.

A: Given,  f(x)=ex

Q: Two sides of an oblique triangle are measured as 80 ft and 100 ft and the included angle as 60°. If…

A: I am attaching image so that you understand each and every step.

Q: 7. In drawing 5 cards from a standard deck of cards without replacement, what is the probability of:…

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A: Let's solve given triple integral by using cylindrical co-ordinates.

Q: Evaluate the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

A: The given indefinite integral is: I=∫dx4x+3   ...1   As we know the common integral. ∫1xdx=lnx+C

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Q: Suppose that an accelerating car goes from 0 mph to 58.6 mph in five seconds. Its velocity is given…

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Q: In(3x) EXAMPLE 3 Calculate lim x → 00 SOLUTION Since In (3x)→ ∞o and In (3x) 1/x lim x → 00 = lim…

A: Topic = Limits

Q: Find f 6x dx?a.x^2+C. b.2x^2+C c.x^2/3+C d.3x^2+C

A: The given integral,        ∫6x dx

Q: 149. Determine the real number a such that vectors a = 2i +3j and b=9i+aj are orthogonal.

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Q: What is the derivative of −9 sin² (-3x³)? O-162x³ sin (-3x³) cos (-3x³) no correct answer O 162x²…

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Q: Explain the process and strategies you would use to determine the derivative of y=tanx. Note that…

A: Break the tanx into Sinx/Cosx

Q: What is the second derivative of the function y = -6 sin x cos x where x is? Round your answer to…

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