The answer above is NOT correct. Find the area of the region enclosed between y = 4 sin(x) and y = 3 cos(x) from x = 0 to x = 0.5. Hint: Notice that this region consists of two parts. -1

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A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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Q: 5. What is the equation of the asymptotes of the hyperbola defined by x²-4y² + 4x + 40y - 92 = 0

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Q: 15. Show that the equation, ³ + e* = 0 has exactly one real root.

A: we have x3+ex =0to check number of roots we can draw graph of both and check number of intersection

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A: This question can be solved using the concept of length of curve using derivatives.

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A: Given: Consider the following situation, which involves two options. Determine which option is less…

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A: To find out which one is less expensive.

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A: The given set,     S=1,2,3,4, 1,0,1,2,3,8,11,14

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Q: Solve differential equation dx -(2ln5y+x-¹) 2xy-1

A: Solution is given below:

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A: topic- indefinite integral

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A: I appended the formula used in the solution part of the question

Q: Find the following for the given equation. r(t) = e−t, 8t2, 3 tan(t)   (c)  Find r'(t) · r''(t).

A: Find the following for the given equation. r(t) =< e−t, 8t2, 3 tan(t) >   (c)  Find r'(t) ·…

Q: Assume that x1, x2 and x3 are the zeros of the polynomial p (x) = x3 + ax2 + bx + c. Determine the…

A: Assume that x1, x2 and x3 are the zeros of the polynomial p (x) = x3 + ax2 + bx + c. Determine the…

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Q: k [[ x=0&y=0 x cos(xy) dydx =

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Q: Step 4 As per the trigonometric substitution x = tan 0, the following triangle is obtained. csc =…

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Q: 17. Evaluate: √4x² - 4x + 5 dx A. √4x² - 4x +5 +In(2x+1+√4x² - 4x + 5) + C 8. √4x² - 4x…

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Q: 3. xdx (x²-7)

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Q: 17. Assume that f'(x) = (x - 1)(x - 2)²(x-3)³. (a) Find the interval(s) on which is increasing. (b)…

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Q: Evaluate the integral. Select the correct answer. 6 6 x In (19x) - 12/15 x + C none of these 16 x In…

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Q: 9. If = 1, 4, 5) and W = (2, -3, 1 V ( − w a) 3-2W b) |v|

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Q: Let r(t) = (e²t, e−³,5t) Calculate the velocity vector and the acceleration vector at t = 0.

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Q: 17. The function f(x) = x³ + bx² + c has a critical point at (-2, 6). Determine the value of b and…

A: Please follow the next step.

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Q: 36. What is the area of the region bounded by the graph of y = 3x - 4, the y-axis, the lines y = 1…

A: See the details solution in below

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Q: Find the arc length of the graph of the function over the given interval. y = In x, [1, 8]

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A: The objective is to evaluate the integral.

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Q: 1. (1) E (14) (1) Choose the correct option (Multiple Choice Questions): Which of the following is a…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

Q: 2A)Matrix A = 12 2₁ B = B = [₁ ²2₁ find AB. -21

A: Note:- Please repost part B because unable to understand  right side of differential equation…

Q: find the limit, if it exists. If the limit does not exist, explain why. limx→2 1−|x|^2/1−x^2

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Q: 3x 9. fxdx A.ln(e6x + 1) + c ₂-6x + c 3x c.exe Barctan (e6x) + c D.†arctan(e3x) + c

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Q: 3. 1 S [(2x - 4y)dydx 31 1 -1

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