A ship leaves port travelling North West at 12 knots. A second ship leaves the same port 3 hours later travelling 20° West of South at 15 knots. Determine how long after the second ship leaves port that the ships will be 100 nautical miles apart.

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Q: The cost (in dollars) of manufacturing one item is given by C(x, y) = 10 + 9x + 7y where x is the…

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Q: V. Directions: Find the extreme values of the given functions within the indicate 42-44. ƒ (x) = x²…

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Q: It is projected that the population of a certain town will be P(t) = 2t+4t³/2 + 5000 where P(t) is…

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Q: A population grows according to the model, 1400 e 0.06t where A is the population t years after the…

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Q: Evaluate the multiple integral. * 131-x² SS S dz dy dx 100 0 2/3 5/3 4/3

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Q: Find the absolute extremum values of f(x) = xe² xez-2x² 3 on the interval [0, 1]. (Note: ez ≈ 0.22)

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Q: For the function f(x,y) = 3 x³ + 5y4 5 4 x +y find f, fy, f(-1,1), and f,(-3,2).

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Q: 2. Using power series, evaluate lim x → 0 sin x-x 3 X

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Q: For which values of n is the function ya solution of the differential equation xy"-Kxy'-6y=0

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Q: Find the area bounded by the curve x = y² + 2y and the line x = 3.

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Q: Convert (z+ 2)² + y² = 4 to polar form. Drag and drop an answer to each box to correctly complete…

A: Let us assume x=r cos θ   and y=r sin θ. So, we get              (x+2)2+y2=4⇒(r cos θ+2)2+(r sin…

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Q: 1. Use Comparison Test to determine the converges or diverges of the series Σ: 8 n=1 (n+1)√n

A: By using Comparison Test to determine the convergence or divergence of the series ∑n=1∞ 1n+1n.

Q: Suppose that a movie theater has a screen that is 29 feet tall. When you sit down, the bottom of the…

A: Given: θ=Viewing angleθx=tan-137x-tan-18x…

Q: After t months on the job, a postal worker can sort L(t) = 700 – 400e−0.5ť letters per hour.…

A: answer is in next step .

Q: Evaluate the integral of 3dx/(2x^2 + 4) from 0 to 0.2 *

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Q: What is the volume in cubic units of the solid formed when the region bounded by y = x^2 and y = 2x…

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Q: (Requires a short but nontrivial geometric argument.). Let ABC be a triangle with angles…

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Q: Find the volume of the colld_generated by. revolving the area bounded by the given curves_ about the…

A: We need to find volume.

Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -…

A: The height of a ball launched in the air t seconds after it is launched is given by:…

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Q: 8 9 - 4e²™ dx Please approach doing this integral by hand with the following steps: First, make a…

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Q: For the following function, find the equation of the tangent line at the point (1, 2). f(x)=√9x² - 1…

A: We have to find equation of tangent line

Q: Let w = (2, − 1, 1), v = (− 4, − 5, 1), and u = (6, − 2, 2). Find u × (v × w)

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Q: - 4. Find the area bounded by y = x - x² and y = x(x − 2)(x+2).

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Q: What is the volume in cubic units of the solid formed when the region bounded by y = x^3, y-axis,…

A: The region is bounded by y=x^3, y axis  and y=8.And the region is revolved about x=0. We need to…

Q: Perform the integration. 3 (13 (|3* − 1| + |3* − 3|) dx 0

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Q: 9. A child is flying a kite with a 45-ft string at an angle of elevation of 50°. Which of the…

A: Let's find altitude of the kite in feet.

Q: What is the volume in cubic units of the solid formed when the region bounded by y = 2x + 1, x-axis,…

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Q: Use the Second Derivative Test to find all relative extrema. h(t) = -x + 6x² - 4

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Q: Evaluate the integral sin^4 e de from 0 to π/2 * 2π/3 TT/4 31/16 31/5 O h

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Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -…

A: Given :Hight of a ball in t isf(t)=-16t2+374t+15

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Q: 5. sech 2x tanh 2x dx sech

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Q: 3. Find the area bounded by a parabola and any right chord (use the parabola y2 = 4ax, chord x = x₁)…

A: In this question, we want to find the area bounded by the parabola and a right chord.

Q: VI. Determine the instantaneous rate of change of the functio: sin (³) f(x) = V² siz r³ 1 + √t at x…

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Q: B. Find the derivative of each of the following functions. - 3 15. f(x) = x² = ³ 2x - 1 16. x² -5x +…

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Q: The amount of a certain substance in a chemical compound is given by the function C (t) = 20.6…

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Q: The population of a city is 145,000. It declines continuously by 3% per year. ..... Assuming this…

A: Solution-

Q: Given: cos 3y + sin 2x 2 cos 2x 2 O -3 sin 3y-3 -2 cos 22-2 O -3 sin 3y 3 O -2 cos 2x-2 3 sin 3y 3 2…

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Q: True

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Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -…

A: topic- quadratic equations and derivatives

Q: Simplify the expression (1 - i)(√3+i) (1 + i)(√3-i) and express your answer in polar form where r> 0…

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Q: Question 138 of 190 FINAL-Mathematics Temperatures in degrees Celsius (C) may be changed to degrees…

A: A detailed solution is given below.

Q: Evaluate the limit using the L'Hopital's Rule. 1 - cosh x lim x→0+ ln(x² + 1)

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Q: Determine the intervals on which the function is concave up or down and find the points of…

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Q: What is the y = x^3 and y = x^2? O2/5 3/5 6/35 12/35 y-coordinate of the centroid of the plane…

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Q: Evaluate the multiple integral.* 22y [ ✓²)¢ dx dy 10 17.5 16.5 The area hounded by the graphs of y=

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Q: The rate of change of revenue (in dollars per calculator) from the sale of x calculators is R'(x) =…

A: Here, R'(x)=(x+2)ln(x+2)