True or False: If / X (x − 1)(x + 2) dx then B = dx = 1 -In(x - 1) + Bln(x + 2) + C 3

Q: Equations with the Dependent Variable Missing For a second-order differential equation of the form…

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Q: Complete detailed solution. What is the derivative of 3 f(x)=4x² + -5 √√x

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Q: For the function shown below, find (if the quantity exists) (A) lim f(x), (B) lim f(x), (C) lim…

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Q: Question 15 Given ƒ (2) - This function is discontinuous at the point A O z=0 x = -2 O=12 O == 2 <…

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Q: Find the equation of the tangent line to the curve x²y² - xy + x - y = 0 at the point (0, 0). Ox+y=1…

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Q: A particle moves along a straight line with a velocity v(t) = t²e²t meters per second after t…

A: A particle moves along a straight line with a velocity v(t)=t2e2t meters per second after t seconds.

Q: Let "r" and "h" be the radius and height, respectively, of the right circular cylinder of maximum…

A: Let's find value of r + h.

Q: Given that f(x) = x² 8x and g(x) = x + 15, find (a) f + g= (b) f-g= (c) fg= f (d) and its domain is…

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Q: Find the value of the limit lim 01 0 0 O DNE x3 x+0 x³ + x2 < Previous

A: On solving this we will get

Q: If f (t)=tan³ (2πt), then f' (t) = Ortan² (2nt) sec² (2πt) Otan² (2nt) sec² (2nt) O 2π tan² (2πt)…

A: using chain re of derivative,

Q: Evaluate fcos-¹(x) dx

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Q: •oodwi For any real sequence, lim Xn Yn = Tim (x₂) tim(yn)

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Q: olve the given differential equation. All solutions should be found. dy x - 2y dx X

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Q: Bob, Trinity, and Roger are painting their living room. Trinity takes twice the number of hours that…

A: This question can be solved using the concept of time and work.

Q: Find the particular solution of the differential equation that satisfies the initial condition(s).…

A: we can find the particular solution.

Q: Find h'(t) if h(t)= h'(t)= 3 1/2 3 3/5

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Q: -10 -9 8 -6 -5 -4 -3 -2 5 3- 2 1 -1 0 -1 -2 -3 + -4 -5 1 2 3 6 4 20

A: We have to find the value of the given definite integral according to the given information

Q: The radius of a sphere is decreasing at a rate of 1/4 cm/s. At what rate is the volume decreasing if…

A: Volume of the sphere , V=43πr3

Q: A rectangular tank with a square base of 2 meters and a height of 4 meters is half filled with…

A:

Q: Let f(x) = x + 1 x + 6 f-¹(-10) =

A: Let's evaluate the inverse of function  value.

Q: 11. Determine whether the given quadratic function has a maximum value or a minimum value, and then…

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Q: Determine the area of the shaded region bounded by y=-x² + 10x and y=x² - 6x.

A: Follow the procedure given below.

Q: 18 (x² +9) (x+3) -dx

A:

Q: What is the instantaneous rate of change at x = 2 of the function f given by 2x f(x) O O 4 -2 H N -…

A: What is instantaneous rate of change at x=2 of the function f given by   f(x)= 2x/x-1

Q: Evaluate the definite integral given below. 2 [ ²³ ( -5x ² + 2x² ) dx

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Q: ind f. f ″(x) = −2 + 24x − 12x2,    f(0) = 2,    f ′(0) = 18

A: We can solve the given equation.

Q: 1) Bob, Trinity, and Roger are painting their living room. Trinity takes twice the number of hours…

A:

Q: Find the volume of the solid generated by revolving the specified region about the given line. R…

A: Given :Function : y=x7andy=x

Q: Find dx X O A. O B. O C. O D. 16 4 **** 5√x 5 X 16 3 X i - 4) - 1x -20% √x - 4√x 5 X 16 3

A: We need to find derivative.

Q: The domain of the function f(x, y) = 3xy 2+√4x2+y2-16 is:

A: Given problem:- fx,y=3xy2+4x2+y2-16  To find:- Domain of f(x,y)

Q: Find the indefinite integral using any method. (Use C for the constant of integration.) 5x + 6x (x²…

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Q: Let f(x)= 4x²-19x-5 x² +11x-80 (A) lim f(x) X-5 Find the indicated quantities, if they exist. (B)…

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Q: Find the general solution of the following differential equation. 121y" - 4y = 0 NOTE: Use c₁ and co…

A: To find general solution.

Q: In the previous question, what is the angle between the two given vectors to the nearest degree? a)…

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Q: Find the derivative of the following function given

A: Our Aim is to find the derivative of the functions given below:-y=sec2 (x)-tan2 (x)  -(i)

Q: f(x) = O lim f(x) = 3 - Which of the following is FALSE? Olim f(x) = 3 t Olim f(x) = 3 { Of is…

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Q: Let f(x) = x + 1/2 On which interval is f decreasing? ○ (0, 1) ○ (-1,1) ○ (-2,0) ○ (-∞0, 0)

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Q: Find dx dx 0.4 0.4 -3.3x4 + 5x -3.3x-4+5x

A:

Q: The range of the function f(x, y) [1/3, +00[ This option None of these This option ]- 00, 1/3]…

A: Here, the given function is: f(x,y)=13+x2+y2

Q: Find the limit (if it exists) of the sequence (x_n) where x_n = sqrt(3n+2)-sqrt(n).

A: Here, the given sequence is: {xn} where xn=3n+2-n

Q: Let f(x) = 1 x² - 16 Where does f(x) go as approaches 4 from the left?

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Q: f '(t) = 10 cos(t) + sec2(t),    −?(pi)/2 < t < ?(pi)/2,    f(pi/3) = 4 find f

A: Taking anti-derivative,

Q: Use a(t) = -9.8 meters per second per second as the acceleration due to gravity. (Neglect air…

A: We need to calculate the time taken by rock to hit the canyon floor.

Q: lim x →∞ (bx+a)²(ax+b)² (ax²+bx+1)²

A:

Q: Find lim h→0 lim h→0 f(6+h)-f(6) h f(6+h)-f(6) h = if f(x) = -9x-8. (Simplify your answer.) ***

A: We need to find limit.

Q: Determine the limit of the sequence or show that the sequence diverges. If it converges, find its…

A: we have to check sequence is convergent or divergent.

Q: For f(x) = 3x4 - 6x² + 1 find the following. (A) f'(x) (B) The slope of the graph of f at x = -3 (C)…

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Q: Graph the trigonometric function. 5 y=- cos2x 2 Plot all points corresponding to x-intercepts,…

A: Please see the below picture for detailed solution.

Q: Evaluate fcot (x) cos²x dx

A: The given integral: ∫cotxcos2x dx.We need to evaluate the above integral.

Q: na Tic-Tac-Toe game, which player is assured of a win? Second Player There is no way of knowing.…

A: in a tic-tac-toe game , either first player can win game or second player can win game. Win will be…