f(x,y)=200(y + 2) represents the "population density" of a planar region on Earth, where x and y are measured in miles, find the number of people in the region bounded by the curves x=y² and x-2y-y².

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: Consider the function f(x) interval. = 1 on the interval [3, 9]. Find the average or mean slope of…

A:

Q: The equation of motion of a particle is s = t³ - 12t, where s is measured in meters and it is in…

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Q: (a) Find the linear approximation L(x) of 2 f(x) = x³ at x = 3 L(x) = x = 27. (b) Use L(x) to…

A: The given function fx=x23. To find the linear approximation of fx at x=27.

Q: Solve the differential equation. 2xy + 4x + (x² − 4) d (x² - 4) dy = 0 dx Mangle METALT TANG

A:

Q: b) lim x² +8x+16 X-1 x²-16

A:

Q: Let f be the function with domain [1, 3], defined by f(x) = −x² + 3x. The function f has a global…

A: The answer is in step 2.

Q: Differentiate the function. f'(x) = f(x) = In(cos(x))

A: The solution is shown below-

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A: Find the graph of y=fx and y=f'x.

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A: Given: Crown length (in mm) of the molar t weeks after conception L(t)=-.015t2+1.38t-7.1 To find:…

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A: The solution is shown below-

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A: Given function f( x ) = 36-x2

Q: (b) x dx dt 1 sin³ (15)

A: Given  x = 1sin8( t5 )

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A:

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

A:

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…

Q: Find the derivate of the function F(x) = x²(x²-8) a) C 2 6b) f(x) = (5x²³²-7) (6x + 1) F'(x) = c) 5…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: 3. Find the centroid (, y) of the region bounded by y = 2 cos(3x) and y = 2 sin(3x) from z = 0 to z…

A: Centroid is given by x¯=1A∫abxf1(x)-f2(x)dx and y¯=1A∫ab12f1(x)2-f2(x)2dx where A=∫abf1(x)-f2(x)dx

Q: 2. When a particle is located a distance x meter from the origin, a force of f(x) = 3x² + 4x…

A: When a particle is located at distance x meter from the origin, a force of  fx=3x2+4x newtons acts…

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

A:

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

A:

Q: G(x) = − 1x². +3 H (x) = − 1x² – 7 M (x) = − 1x² + 1/

A:

Q: Find the limit. lim 0-0 cos(0) 1 sin (0)

A: Given limit limθ→0cosθ - 1sinθ

Q: Consider the function ƒ(x) = x¹ − 18x² +8, −2 ≤x≤7. This function has an absolute minimum value…

A:

Q: Consider the following planes. -5x + y + z = 5 15x - 3y + 5z = 25 (a) Find the angle between the two…

A: Consider the following planes -5x+y+z=515x-3y+5z=25a To find the angle between the two planes.b To…

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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: 2 √x (x + 1) ² dx dx =

A:

Q: Find the derivatives of the following functions. sec5 (x) 1- x-7 (a) g(x) g'(x) = (b)x= dx dt = = 1…

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Q: 12. The average rate of change of f(x) = (x-a)² over the interval a ≤ x ≤a + 1 is

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Q: Let a = (-3, -5, -2) and 6 = (2, 5, 3). Find a x b. <-5 X, 5 ✔25

A: NOTE: Refresh your page if you can't see any equations. . here we have

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

A: we will find the required.

Q: 1. Find the limit limä→∞ (1 + 3 X 5x

A:

Q: A water well has an 8-inch diameter and is 180 feet deep. The water is 15 feet from the top of the…

A: Given: Pumping the well dry which is 8- inch in a diameter 180 feet deep for which the water is 15…

Q: (b) x = dx dt 1 sin7 (t³)

A: Given:- x=1sin7t3

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A:

Q: Expand the quotient by partial fractions. x² +5 X x2 - 5x + 6 2 x² +5 2 x -5x+6 (Simplify your…

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Q: Find a plane containing the point (-5,6,5) and the line Calculator Check Answer x (t) y(t) z(t) = =…

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Q: 4. Consider the graph to the right, containing the points (0, 1) and (1, 5). A. What function is…

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Q: Solve the equation for x given that 1 ≤ x ≤ 8: ln x = sin x, using 5 iterations of Newton's method.

A: To find the solution of the following equation ln x = sinx by using Newton's method For the…

Q: Find the distance between the skew lines: x = 5+7t, y=3+7t, 2=8-9t x = 1-t, y = 6, z = 5+8t NOTE:…

A: The given skew lines: L1:  x=5+7t,  y=3+7t,  z=8-9tL2:  x=1-t,  y=6,  z=5+8t

Q: Evaluate the integral. cos y dy 2 sin y + 3 siny-4 S

A: To evaluate∫cosysin2y+3siny-28dy

Q: 2) Sketch the graph of a continuous function y = f(x) that satisfies the following (Identify any…

A:

Q: Find the elasticity of demand (E) for the given demand function at the indicated values of p. Is the…

A: We are asked to find the  elasticity of demand

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Q: let y = x. In x find y' O In x 0 1 O 1 + Inx none of the above

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Q: Find y if In X Jer X (2x + 7) dx +4% + +4x + 8 8 | + ² tan y + c

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Q: Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x)…

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Q: Follow the steps below to find the nonnegative numbers x and y that satisfy the given requirements.…

A: Given  x + y = 160

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

A: