What is the amplitude and period of the function f(x)=16cos(6x)?

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Q: Use the first 4 non-zero terms of the power series for f(x) = sin (x²) to approximate S 0 sin (x²)…

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Q: Book Problem 28 A Kite 50 feet above the ground moves horizontally at a speed of 8 ft/s. At what…

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Q: In(a + b) = ln(a) ln(b) for all a, b>0 O True O False

A: SolutionWe have to check this is correct or not.

Q: Consider a triangle with vertices O, A and B, where O is the origin, OA-√3i+j and…

A: Consider a triangle with vertices O, A and B, where O is the origin,  and .(a) To show that triangle…

Q: QUESTION 2 Approximate the area of the triangle to the nearest tenth. a = 48.3°, b = 87, c = 12.7 C…

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Q: A = 5 2 0 -3

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Q: d²y Find the second derivative (Notation: 2 or y') if xy = y² + 2. Simplify dx² until there are no…

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Q: Simplify the following trig. expression: 1tan²0 1 + tan²0 +2 sin²0.

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Q: Evaluate the following limit using Taylor series. 1 5m 172² (6-77 - 1) lim e X→∞

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Q: 5. Find the Maclaurin series for f(x) = cos(¹) Use the found series to determine the 8th derivative…

A: The solution is shown in step-2

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A: Let us know what are net and total areas.Net area  Total area above x-axis  Total area below x-axis

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Q: Find the domain of the function f(x) = −2x². Use interval notation to express your answer. - 6x + 10

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Q: Find the eigenvalues of the following matrix: 6 1 = [2 +² 0 A Write down your answer for both…

A: To find the eigenvalues of the following matrix.

Q: Your wardrobe consists of 2 shirts, 4 pairs of pants, and 15 bow ties. How many different outfits…

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Q: Evaluate O - f 1 1+¹/3+C 0 3 O dx 1+x¹/3 2²/3 In 1+¹/3+C 0 3 - 3x¹/3+3 In 1+¹/3+C 222/3 ○ In 1+¹/³+C…

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Q: 4. Suppose is divergent. What can you say about an? Choose all that apply. □ If lim П-00 Dr a n→∞ If…

A: are positive term series and is divergent.

Q: Find the equations of the asymptotes of the hyperbola described by the equation: (x+3)²_(v−2)²_1 9 O…

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Q: Use Green's Theorem to evaluate: F.ñ ds where F =(√x+3y, 2x + 3y) and C is the boundary of the…

A: The solution is shown in step-2

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Q: Find the minimum and maximum values of the function f(x, y, z) = 3x +2y + 4z subject to the…

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Q: 10- Use the second derivative test on f(x)=2x³-9x¹+9 to determine if the critical values are maximum…

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Q: 4 0001 0 0001 2000

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Q: f(x, y)=4y+5x;R is the rectangle defined by 5≤x≤6 and 4≤y≤ 5

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Q: 2. The graph of g below consists of two straight lines and a semicircle. Use it to evaluate each…

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Q: Use the Chain Rule to find and 3 where z = (y-x), z = s²t, y = st².

A: The solution is shown in step-2

Q: Use a power series to approximate the definite integral, I, to six decimal places. -0.2 1 1+x5 dx

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Q: x² + y² 2 5. Select the Cartesian form of the parametric curve defined by x=6cost, y = 6 sint. 2 x²…

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Q: If the monthly supply of math action figures t months after initial delivery to market is given by…

A: To find the carrying capacity of the market, we need to understand that in a logistical growth…

Q: 1. Construct a table of values to draw the following parametrization. Your table must include at…

A: Construct a table of values to drawn the following parametrization. your table must include at least…

Q: 3. Rewrite the polar equation in rectangular, rewrite it either as a conic section or in the form y…

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Q: When placed tail-to-tail two vectors make an angle of 100°. The magnitude of the first vector, is 7…

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Q: If y = (x8 + 9), find y' (1). O 10 In (10) - 8 O In (10) - In(10) + 4 O 10 In (10) + 8 08

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Q: Determine the radius of convergence for the series below. 4" (x − 2)" Σ In (40)

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Q: Find the linearization L(x,y,z) of the function f(x,y,z) = √x² + y²+z² at the points (7,0,0),…

A: To find the linearization  of the function  at the points , and .

Q: Find the interest rater needed for an investment of $4,000 to grow to $20,000 in 6 years if interest…

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Q: In(x²) = 2 ln(x) for all x True O False

A: ln(x^2) =2ln(x) for all x

Q: a b = A= B B = b Note: Triangle may not be drawn to scale. Suppose a = 8 and c = 11. Find: с A…

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Q: Balwyn High School is planning to establish a Balwyn Island Theme Park. One of the attractions will…

A: Using concepts of limit and continuity, we can solve the question.

Q: Use logarithmic differentiation to find the derivative of y with respect to the given independent…

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Q: What transformations must be applied to y-log(x) in order to generate y=2log(x)/log(0.5) O O O O 1.…

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Q: A motorboat take 3 take to travel 144 kilometers going upstream. The return trip takes 2 hours going…

A: The solution is shown in step-2

Q: My question revolves around L' Hopitals Rule. I have to functions s(x) = 4e^x +9 and t(x) = 9lnx +…

A: L' Hospital rule