Draw an accurate diagram of what follows and find resulting distance to the port: A ship sails on a heading of 70° for 50 km. It then goes on a heading of 200° for 60 km. Determine the distance from the ship to the port and the bearing of the ship from the port.

Q: f(x,y)=200(y + 2) represents the "population density" of a planar region on Earth, where x and y are…

A: Given: The population density is f(x,y)=200(y+2) Where x and y are in miles.   Curves are given as…

Q: Let f(x) = -12x sin(x) cos(x). f'(x) at x = ³7. 2 Evaluate ƒ'( ³ ) =

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Q: Find the absolute maximum and minimum values of the function, if they exist, over the indicated…

A: If x=c is a critical point of the function f(x) if f(c) exists and if either f'(c) =0 or f'(c) does…

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Q: Using the ratio test to determine the convergence or divergence of the series series. O Convergent…

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Q: Sketch the region of integration, reverse the order of integration, and evaluate the integral. 44 SS…

A: To sketch the region of integration, to reverse the order of integration,  and to evaluate the…

Q: [√² √sec²z - 1

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Q: Sketch the region bounded by the given lines. Then express the region's area as an iterated double…

A: To sketch the region bounded by the given lines. Then to express the region's  area as an iterated…

Q: Given the geometric sequence: 19, Find an explicit formula for an. an Find a7 = 190 3 1900 9

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Q: JS₂² A region R is shown. Decide whether to use polar coordinates or rectangular coordinates and…

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Q: 6. Evaluate the limit: lim x+-5+ a. 25 b. 2.5 5x X+ 5* C. c. -25 -co d.

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Q: 10x3-8x4+2x3 2 2 X→0 15x4+3x3-5x Evaluate Lim

A: We need to find the given limit limx→010x43-8x34+2x2315x24+3x23-5x

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Q: Connecting the Communication Device With the communication device pointed toward your home planet,…

A: Given: fx=ln8xgx=9 sin4x Red Cord: f'c Green Cord: g83π Blue Cord: f''c where, c is a constant such…

Q: 14. The domain of the function is y 4 2 -4-20 2 4 x

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Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing.…

A: Given function f( x ) = 36-x2

Q: Use linear approximation, i.e. the tangent line, to approximate √16.2 as follows: Let f(x)=√x. Find…

A: Given: f(x)=x at x=16

Q: Use a differential to approximate. (Give your answer correct to 4 decimal places.) 4(3.98) (3.98)² +…

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Q: Solve the equation y" +4y= S(t-4π), y(0) = 1/2, y'(0)=0

A: The given differential equation: y''+4y=δt-4π, y0=12, y'0=0

Q: Consi ider the ellipse 4x² + 2xy + 5y² The derivative = d on this curve is

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Q: A region R is shown. Decide whether to use polar coordinates or rectangular coordinates and write…

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Q: 1. Make a sketch for each parabola a. y² = 4x b. x² =−16y

A: To draw parabolas

Q: = 4y cos(2x - 5y) at the point (5,2,8) Find the tangent plane to the equation z =

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Q: Find and classify the critical points of z= (a²-8x) (y² – 4y) Local maximums: Local minimums: Saddle…

A: The given function is;  z=(x2-8x) (y2-4y).

Q: e-1 Find the limit limä→0 tan x

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Q: Use double integration to find the area of the plane region enclosed by the given curves. y = 4 sin…

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Q: Sketch the graph that possesses the characteristics listed. f is concave down at (1,5), concave up…

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Q: Find the unique solution to the differential equation that satisfies the stated conditio dy In(x) dx…

A: given:differential equation dydx=lnxxy,  y1=6

Q: 7. Solve for x: 16 X 70⁰ 10

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A: The solution is shown below-

Q: Consider the ellipse 9x² + 64y² = 576. Consider the point P(16,3). Find an equation for both lines…

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Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit.…

A: On finding the limit of the given sequence we will check the given sequence is convergent or…

Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing.…

A: To find where the function is increasing or decreasing.

Q: ts, Consider the ellipse 4x² + 2xy + 2y² = 88. (a) The derivative on this curve is dx dy dx…

A: Given The equation of ellipse is 4x2+2xy+2y2=88   We are required to find a. dydxb. Equation of…

Q: 26. Distinguish between average and instantaneous rate of change, use an answer. appropriate example…

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Q: 1 e) lim (-—-—-₂--²-4) x-3x-2

A: M=limx→3(1x-2-4x2-4)

Q: Find the derivate of the functions a) F(x) = (7x²-9) (2x + 7) f'(x) = b) f(x) = 8x² - 2 8x +3 f'(x)…

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A: Given Table:- x 4 5 6 f(x)   -3   f'(x) 1 ϕ 1

Q: Given ƒ"(x) = 6x – 5 - and ƒ'(−2) = −1 and ƒ(−2) = 2. Find f'(x) = and find f(2)=

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Q: Find an equation of the tangent line to the curve at the point (1, 1). In(xex6) y = y =

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Q: P'(W): = P(w) = 6w² - 2w + 4 VW

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Q: The​ short-term demand for crude oil in Country A in 2008 can be approximated by q=f(p)=2,443,225p…

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Q: Describe the given region in polar coordinates.

A: Please see the below picture for detailed solution.

Q: b) lim x² +8x+16 X-1 x²-16

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