mathematical symbols, and the guests were math enthusiasts. As part of the entertainment, the party organizer set up a math quiz for the guests. One of the questions was about trigonometry, and Emily was asked to help grade the quiz. The question was: If tant = 15/11 what is tan (t - π)? Help Emily find the correct answer to this question. Enter the exact answer. tan (t = π) =

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Q: Which of the following functions has a horizontal asymptote at y = 2? A. x-2 3x-5 C. 2x² - 6x +1 1 +…

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Q: 32) Find the derivative of the following functions a) f(x) = 4x³ 3x² + 12x + 1 b) g(x)=e7x + 2x c)…

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A: Consider the integral

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Q: [1 Find the inverse of the matrix C = 0 12 operations. Show all your work. 0 1] 1 1 4. 1 using row

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Q: ƒ(x) = x² + 8x + 16 2x + 8 Answer Attempt 1 out of 2 There is one x-intercept

A: Given that the function

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Q: For any two events E and F. P(EUF) = P(E) + P(F) – P(EF) Select one: O True False

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Q: Given the graph of y = f(x), on the same grid sketch the graph of y=-2f (3x) 5 -5-

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Q: The general solution of the equation y''− 2y ' + y = 0 is given by y(x) = Cex . true or false ?

A: y''− 2y ' + y = 0

Q: -5 -4 3 2 4 3 2 1 -2 -3 -4 1 on Use the graph of f(x) above to estimate the value of f'(0) to one…

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Q: dx 1. Sa (a²+x²)z

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

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Q: 11x¹¹ (x¹2 + 6)³ a) This can be transformed into a basic integral by letting Consider the indefinite…

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Q: X lim x+3+ (x + 2)(x-3) A. -∞ is B. 3 C. 0 D. co

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Q: [x² Arctan(x) dx

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A: A 680 foot rope anchors a hot air balloon. Express the angle (theta) as a function of the height(h)…

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Q: If f(x) = 2 - x / 5x , determine the equation of f^ -1(x) , the inverse of f(x).

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Q: Consider the vector field F (x, y, z) = (z+y)i + (5z + x)j + (5y + x)k. a) Find a function f such…

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Q: 27) Evaluate the limit, if it exists. If it does not exist enter DNE. lim (1 + x)¹/x x→0 28)…

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Q: Use linear approximation, i.e. the tangent line, to approximate √49.3 as follows: Let f(x)=√x. Find…

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Q: Find the standard form equation for a hyperbola with vertices at (16,0) and (-16,0) and asymptote y…

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Q: d Find (6 ln(x)) dx

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Q: The intersection of two events E and F, denoted En F, is the event consisting of all outcomes that…

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Q: Which of the following functions f: R → R is continuous at the point 0 € R? f(x) = x² = f(x): = {22²…

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Q: 19. x - y² +3=0, x-2y = 0.

A:

Q: This is the graph of a function. -5 Choose the graph of its derivative from among the following…

A: The graph of a function is given below.To choose the graph of its derivative.

Q: Given that A = {2, 4, 5, 6, 8} C = {1,3,5,7,9} B= {1,2,5} = {1,2, 3, 4, 5, 6, 7, 8, 9}

A: A={2,4,5,6,8}B={1,2,5}C={1,3,5,7,9}Ω={1,2,3,4,5,6,7,8,9}

Q: Let f (x) = ln (x² f'(x) = - 14x + 58)

A: Given,

Q: How is the graph of y = i and ii 1) horizontal compression by a factor of 1/2 II) translation 2…

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Q: If the point (-1, -2) is on the graph of y = f(x) , what must the point be on the graph of y = f…

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Q: "A company makes logo t-shirts for music festivals. Their total cost function is linear, and the…

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Q: The partial fraction decomposition f(x) (x + 1) f(x)= g(x) + g(x) (x² - 4x + 7) 9 of where -4x² 16x…

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Q: True or False, and explain why showing all steps. The function f(x,y) = x2 + y2 has a global maximum…

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Q: Evaluate the following integral given that 5.° Answer: 1° e е _-1² dr and a = 9.1. Round your…

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Q: What is the slope of the line tangent to the graph of y = B 11 4 13 دن در 4 12 x+3 at x = 1 ?

A: The slope of a tangent line to the curve y=f(x) at x=a is given bym=f'(a)

Q: True or false, and explain why showing all steps. The function f (x, y) = x2 + y2  has a global…

A: f(x,y)=x2+y2Using the power Ruleddxxn=nxn−1