If ƒ (x) = √√x² − 4 and g(x) = 3x - 2, then - the derivative of f(g(x)) at x = 3 is

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A: If the given vectors are  then the sum of these vectors will be:

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Q: Let f be the function given by f(x) = 300x - x³. On which of the following intervals is the function…

A: f(x) = 300x - x3

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A: We are required to find:

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A: Using application of derivatives, we can find the answer.

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Q: Verify the following identity: sin(a + 3) + sin(a− B) = 2sinacos

A: We use the sum to product formulas to prove the given identity.

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Q: The vectors that make up the sum of two vector components are parallel to each other. O False True

A: The given statement is false.

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Q: not need to simplity. x18 (x-1) 20 √11x-12 y=

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Q: 5. lim (5x³ - x²y²) (x, y)-(1,2)

A: You have specifically asked to solve question number 5. So, we will solve Question number 5 for…

Q: Convert the point (x, y, z) = (-3, 3, 5) to spherical coordinates. Give answers as positive values,…

A: To convert the point  to Spherical coordinates.

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Q: 1. (1)"zin n! 2. 3. ∞ Se 5. 8,888 n=0 n=0 -0 A. er B. e4 4c" n! 4.2 (1) n0 S n=0 (-1)"4x2n+1 2n + 1…

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Q: Use the Law of Cosines to solve the triangle. Round your answers to two decimal places. a = 75.8, b…

A: In a Triangle with sides a,b and c opposite to angles A,B and C respectively, The law of Cosines is…

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A: The function is given by:-Since, the natural log is present in the function.Domain of the function…

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Q: Let f (x) y=x+4 y=x y=x+2 y=x-2 x²-x+4 x-3 . what is the equation of the oblique asymptote of f(x)?

A: I am going to solve the problem by using some simple calculus to get the required result of the…

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Q: Simplify the expression. (c^(3) *a^((2)/(3)))^(-(1)/(5)) Write your answer without hsing negative…

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Q: Consider the following vector field. F(x, y, z) = 3xye²i+yzexk (a) Find the curl of the vector…

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Q: 1. The population of the United States in 1960 is P (0) = 180 million. The population of the United…

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Q: K Write a in the form a = a+T+aNN at the given value of t without finding T and N. r(t) = (-1+4)i +…

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Q: Find the exact value of each of the following using a suitable power-reducing formula cos²(67.5 14√2…

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Q: Question 6. Use the limit definition of the definite integral to compute [₁20 + Hint: Ax = ba = *; =…

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Q: Sketch the graph of the function f(x) = ln(x - 1) - 2. Also, find the inverse function f(x), and…

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Q: The velocity of a particle moving along the x- axis is given by v (t) = 2 — t² for time ₺ > 0. What…

A: The velocity of the particle is given as,