A ship sails on a heading of 240° for 80 km. It then goes on a heading of 140° for 110 km. Determine the distance from the ship to the port.

Q: The passcode for this gate is found by determining the domain of the derivative of f(x) and 45 then…

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Q: a = (0, 1, 2), 128. c= (1, 0, 1) - b = (-1,

A: Given: a=0,1,2b=-1,0,1c=1,0,-1

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

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Q: Complete the parametric equations of the line through the point (2,-6,-2) and perpendicular to the…

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Q: Evaluate lim x →∞ -6x²-x+6 -2x³ + x² + 5x +4

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

A: To draw parabolas

Q: let y = ln x find y' O 1/x O 1/x² O x X none of the above

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Q: A company buys a machine for $275,000 that depreciates at a rate of 30% per year. Find a formula for…

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Q: Find an equation of the tangent line to the curve at the point (1, -1-). y = x³e-x y =

A: To Find: Tangent line to y=x3e-x, at point 1, 1e

Q: Consider the function f(x) = 12x³ +30x¹ - 160x³ +4. f(x) has inflection points at (reading from left…

A: Application of Derivative

Q: Effect of Capital Expenditures on GDP An economist has determined that a certain country's gross…

A: Given function f( x ) = 620x15

Q: Locate all the critical points of the function f(x,y)=8x−x^2−4xy^2.

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Q: 1. Use the differential form of the chain rule to find if y = ² and u = x² + 1. 2. Find the…

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Q: 1. a. Consider the following graph of a continuous function f(t) on 0 ≤ t ≤ 10. 2 s(t) p/ 0 6 10 4…

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Q: Flow of Water from a Tank Water flows from a tank of constant cross-sectional area 40 ft² through an…

A: We have to find the rate of decrease of height.

Q: Maricopa's Success scholarship fund receives a gift of $ 85000. The money is invested in stocks,…

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Q: Find the derivative of the function. -7x³ - 6 6x² +7 f(x)=

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Q: Solve using the elimination method. 0.2x 0.5y = 1.1 0.5x 0.2y = 1.7 (Hint: Since each coefficient…

A: 0.2x-0.5y=-1.1.....(1)0.5x-0.2y=-1.7..........(2)

Q: cos x ln(sin x)dx

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Q: Find all Singular points of the given differential equation then classify as Irregular Singular…

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Q: 5. Evaluate the limit: lim X+3 a. 0 b. 9 3x C. d. +00 -1 1

A: K=limx→3+3xx-3

Q: Find the values of x, y and that correspond to the critical point of the function: z = f(x, y) = 4x²…

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Q: Let f(x) = x4 lnx for all x > 0. I

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Q: Differentiate the function. f'(x) = f(x) = log₁0(x⁹ + 7)

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Q: 1 e) lim (-—-—-₂--²-4) x-3x-2

A: M=limx→3(1x-2-4x2-4)

Q: Let f(x) = x² 50x² – 8. Calculate the derivative f'(x) = Calculate the second derivative f"(x) =…

A: Please see the below picture for detailed solution.

Q: given by C(x) = -0.07x² + 75x. Find C(288) C(287) Interpret the result

A: we will find the required.

Q: QUESTION 24 Write the expression in expanded form. x2-9 (x+2)2 3 logg O 6 logg(x-3)-6 logg(x + 2) O…

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Q: 5. Find the explicit solution of the given initial-value problem. dy e-x-ex dx 3+4y a) = y(0)=1 (b)…

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Q: Find the general solution to the non-homogeneous differential equation. y" - 4y' + 5y = 7e-x y(x) =

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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)…

A: To find derivatives

Q: 3. Select the sine wave so the parent function is f(x) = sin (x). Start with a and b both set to 1.…

A: We have to draw the graph of sine wave with the changing values of b.

Q: Consider the function f(x) = 2x³ - 5x on the closed interval [-4, -2]. Find the exact value of the…

A: We have to find the slope and value of c.

Q: Expand the quotient by partial fractions. 6x - 10 x - 4x +3 6x - 10 2 x - 4x +3 (Simplify your…

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Q: Differentiate the function. g(t) = 4t-1/8 g'(t) =

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Q: An accessories company finds that the cost and revenue, in dollars, of producing x belts is given by…

A: Profit = Revenue - Cost

Q: 2 √x (x + 1)² dx =

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Q: Find the derivate of the functions: 2) F(x) = 5x²₂² f'(x) = f(x) = x²(x³²-₂) f'(x) =

A: Since, the student has mentioned to solve multiple questions with multiple sub-parts. But according…

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

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Q: Find the absolute maximum and minimum values of the following function over the indicated interval,…

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Q: Consider the function f(x) = 4 2 x² x7 Let F(x) be the antiderivative of f(x) with F(1) = 0. Then…

A: Topic = Integration

Q: 4. Find the exact and the approximate value of x: 2* = 5*-1. Round answer to three decimal places. N

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Q: Solve the differential equation y` = (196+ y)²

A: The given differential equation is: y'=196+y2

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: A man flies a small airplane from Fargo to Bismarck, North Dakota --- a distance of 180 miles.…

A: Let speed of airplane = V speed of wind = W

Q: Find all the complex roots. Write the answer in exponential form. The complex cube roots of 16+16i

A: Given:  z = 16 + 16i

Q: 1. Find the length of the arc of the curve 3 (2 x − 1)² from x = 0 to x = 8 - y = 32/2 (2x

A: Given :y=2322x-132

Q: Consider the function f(x) = 12x5 + 75x¹ – 120x³ +4. f(x) has inflection points at (reading from…

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Q: sin 20x sin 21x dx =

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Q: Find the volume of the solid generated by revolving the shaded region about the x-axis. 6 X₁ = 1, X₂…

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