Find each of the following functions and state their domains. f(x) = x3 + 4x2 g(x) = 6x2 - 1   a. f + g =  b. f - g = c. fg = d. f/g =

Q: 1. a) b) -16807 32 10 √√–128 -3

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Q: 2. The following represents a function:

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Q: 4 Write as a single logarithm. log x² + log xª O a) log x6 b) log x8 c) log x²√√x d) ¹ log x8

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Q: For the function f(x) = − 5x² + 6x − 4, find the value of the difference quotient x = 2 and h = 0.1,…

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Q: y = C₁cos(2x) + C₂sin(2x)

A: The eliminate the constants from the following equation.y=C1 cos2x+C2 sin2x

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Q: y sinx - xy² = C

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Q: x³ - 3x²y = C

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Q: simplified

A: Please refer to the image below

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Q: 2. Describe the transformations that map the base function y = 2*, onto the 2(2x+²) + 2 given…

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Q: Find an equation of the tangent line to the curve at the given point. y = 2ex + x, (0, 2) y 11

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Q: Perform the following operations on the vectors (3, 2, −4), v = (-1, 5, −2), and = (0, 4, 2). ū = ū.…

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Q: In each integration problem sketch for yourself a corresponding graph to ensure that your answer is…

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Q: Determine the amplitude of the sinusoidal function π -3 sin [2(z − )] + 3 Y = +1

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Q: {(1, 2), (2, 5), (3, 7), (1,3)}| {(3 9.

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Q: Convert 1 -Tradians to degrees: 2

A: convert 12π radians to degrees

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Q: Calculate [1, 2, 2] × [5, -5, -1] -

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Q: Let a, b, c and y be the three dimensional vectors à = 3j+4k, b=i+6j+2k, č=4i-8j, ÿ=−i+ Perform the…

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Q: If is any angle, which expression represents an angle that is coterminal with ? nπ (a) 0 + 2 b) 0 nπ…

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Q: 5. Evaluate a) -1 243 (27²) b) -243 c) 243 d) 243

A: 5. The given data is:  Evaluate (-127)53

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Q: The foci are on the x-axis, the x-intercepts are ±2 and they intercepts are ±1.

A: find the equation of ellipse

Q: The cost in dollars if making x items is given by the function C=10x+4 (b) What is the cost of 35…

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Q: <-X dy = (Iny - Xdx y In x

A: Topic:- differential equation

Q: b) - 1212 c) 3 V -2 10 d) -3 -11 -10 Using the graph given, determine the average rate of change of…

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Q: 2. The equation f(x) = 4cos(45(x − 2)) + 7 describes the depth of the water in a harbour, in terms…

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Q: Find a vector a with representation given by the directed line segment AB, where A(−5, 0, 1) and…

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Q: If √6-5x² ≤ f(x) ≤ √√6-x² for -1 ≤x≤1, find lim f(x). lim_f(x) = X-O X-0 (Type an exact answer,…

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Q: Find an equation of the tangent line to the curve at the given point. y = 2x³x² + 2, (1, 3) y = 6x²…

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Q: a) Convert 160 degrees to radians: π b) Convert to degrees: 18 radians

A: Please refer to the image below

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Q: Convert the angle 4 from radians to deg

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Q: Find the limit L. Then use the - definition to prove that the limit is L. lim √√x x →0 L = Use the -…

A: To find the given limit L. Then by using ε‐δ definition to prove that the limit is L.limx→0 x3

Q: The degree of the polynomial function f(x) = x(x − 1)³(x + 1)² is a) 3 b) 4

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Q: Find x<1/2, which is a solution to the equation, e^2x-3e^x+2=0.

A: Topic:- algebra

Q: Find k if 2x + 1 is a factor of kæ³ +7x² + kx − 3. a) k = -2 b) k = 2 Ock= 11 d) none of the above

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Q: An arc of length 19 meters subtends a central angle of 294 in a circle. a) Find the circumference of…

A: Topic:- geometry

Q: -10 -8 -6-4 -2 > y 10 8 6 4 2 -2 4 -6 -8 -10 2 4 6 8 10 X

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Q: Use the table to find lim¸ ƒ(x) x → 5 X 4 4.9 f(x) 6 7.8 7.99 6 4.99 5 5.01 5.1 6 8.02 8.1 11

A: Find out the given limit by the help of the table.

Q: Find the angle between the vectors a = 10i – j – 5k - and b = 2i+j – 4k. Answer (in radians): 0 =

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A: The given expression is tanθ4 if θ=2π3 use the trigonometric ratio and values,…