3) Suppose that in a certain fish hatchery, the fish population is modeled by the logistic growth model where t is measured in years: y = 12, 000/(1+11e-02) What is the carrying capacity of the fish hatchery? How long will it take for the population to reach 6, 000 fish?

Q: Explain why the calculation (axb). (ĉ. d) is not meaningful.

A:

Q: Making a suitable change of variable and modifying accordingly the limits of integration, calculate…

A:

Q: 7. Which of the following are anti-derivatives of f(x) = sin x cos x? I. F(x)= sin²x 2 II. F(x)=…

A:

Q: √10-x² x = √10 sine x = √10 cote 15. What trigonometric substitution can be used to evaluate a. x =…

A:

Q: on the set of rational numbers as a b = ab D. Com

A:

Q: 2. Given the following: ƒ(x) = x³e¯*; ƒ'(x) = x²(x − 3)(− e¯¾); ƒ''(x) = x(x² − 6x + 6)e¯* a. Find…

A: Given

Q: 2) A bacteria culture which started at 2, 000 became 6, 000 after 4 hours. After how many hours will…

A:

Q: 11. Ay≈ f'(x) dx III. y2y₁ f'(x) dx - Oll O III O None of the choices OI

A: Using definition of derivative

Q: 5. Find the derivative of: a. f(x) = cos(e³x-4)

A:

Q: 6. Compare and contrast the properties of the 1st Derivative of various functions with its 2nd…

A: The first derivative is the slope of the function, and the first derivative test is used to find the…

Q: 16. Simplify. 5+ (467)⁰

A:

Q: 3. In 2 et e²x + 4e²+ 13. dx

A: definite inegration

Q: Find the determinant of the following elementary matrix by inspection. [0 100 1000 E = 0010 0001…

A:

Q: Solve the systems of equations by using the matrix inverse method. r+s+t+w=4 2r-s+w=2 3r+s-t-w=2…

A:

Q: e partial graphs of y sin z +1 and y-2sin z +1 are shown below. y 4+ gluxit At F A B yey D The…

A: Given query is to find the solution of the expression.

Q: Which of the following is a mathematical sentence? 1.2 is a prime number. II. = 0. I and II Il only…

A: To find out the correct option.

Q: ’(x)5 or -60 if x0 if x7 ; F^’’(x

A:

Q: …... VOIN'I Select the correct choice below and fill in any answer boxes within your choice. O A.…

A:

Q: Find the volume of the solid generated by revolving the shaded region about the given axis. About…

A:

Q: 2. A rocket is launching vertically upward from a point 2 miles east of an observer on the ground.…

A: Let's find speed of rocket.

Q: Find 넥 L -TS (s+1)e- s² + 4s + 4

A:

Q: The power series n=1 0-1≤ x < 5 01≤x≤5 0-1 < x < 5 0-1≤x≤5 (x - 2)" 3n converges if

A:

Q: 1) Find the volume formed by rotating the region enclosed by: x = 3y and y³ = x with y ≥ 0 about the…

A: answer is in next step . please give a like!!!

Q: 4. The point (0.422,-0.907) lies at the intersection of the unit circle and the terminal arm of an…

A: As point is (0.422, -0.907), is lying on intersection of the unit circle and a terminal arm of θ,…

Q: Solve for y esec(4y²-6y+14) = 3x + 1

A:

Q: Which x-value is most useful in approximating log₁0 88? 0 90 O 100 O 10 02

A: Here, to approximate: log1088

Q: For Z= x²csc y,prove that Zxy is equal to Zyx

A: Given that,    z=x2csc y

Q: What is the domain of the function f(x) = |x|? 0 (-∞,∞) ○ (0,∞) 0 (-∞,0) ○ [0, ∞)

A:

Q: Problem 4 A weight attached to a spring moves up and down, so that the equation d²s of motion is +…

A: A wight attached to a spring moves up and down, so that the equation of motion is d2sdt2+16s=0,…

Q: Problem 6. A cylindrical container with a diameter of 3 meters is being filled with water. The water…

A:

Q: For items 13, 14, and 15, consider the region R bounded by y = Arctan , r = 1, and the z-axis.…

A:

Q: Find the linear approximation of the function f(x, y, z)=√√x² + y² + z² at (9, 6, 2) and use it to…

A:

Q: Find the position vector for a particle with acceleration, initial velocity, and initial position…

A: We have to find position vector

Q: i) Consider the double integral I = -ff₁₂² Le e²² dx dy. y/3 Draw the region of integration then…

A: Given problem:-

Q: An army medic is treating soldiers after a mine blast. She needs a solution that is 50% glucose to…

A: Concept: An army medic needs a solution that is 50% glucose that is 0.5 glucose she has a solution…

Q: e2-1 Evaluate: limx→0 2x²+x 01 O ∞ 00 O None of the choices 02

A: The given limit is: limx→0e2x-12x2+x   As we know that; The Chain Rule: fgx'=f'gx·g'x

Q: In 8 thy ể dxdy.... ****** Ans: 2 e. *******

A:

Q: dy + (3y - ex) dx = 0

A: Given differential equation is  x dy + (3y - ex) dx=0

Q: Determine the absolute extrema of the given function on the specified interval. 1. f'(x) = 3x² + 4x…

A: Given :  F'(x) = 3x^2+4x-11 = g(x)

Q: A rectangular field is to be fenced off along a river where no fence is needed on the side along the…

A:

Q: At noon, ship A is 30 nautical miles due west of ship B. Ship A is sailing west at 18 knots and ship…

A: Here is the solution of the given.  To solve this problem we use here simple concept of time and…

Q: A movie poster is to contain 0.48 square meters of colored print. The margins on each side are 2.54…

A:

Q: Sketch the region bounded by the curves, and find the centroid of the region. =0,2 = 1, y = 0, y =…

A:

Q: Consider the arc L: y = 1+ cosa from (0, 2) to (,¹). of the surface formed when I is revolved about…

A:

Q: 3) 2x (1+y²) dx -y (1+2x²) dy=0 4) dx + x lnxlny dy =0

A:

Q: 1. Find the equation of the tangent line to f(x) = (x-1)² 3 (x+1) when x = 2.

A:

Q: 0,4) A B) 3 C) 5 D 23 5 गज 2 C 11 A - x² 3 (3,-5)

A: Topic:- application of integration

Q: 5- The tail of vectors a and b form two sides of a parallelogram. Vectors is 30 degrees, and the…

A: Area of a parallelogram when two sides of the parallelogram are given by the vector a→ and b→ is…

Q: 13. Evaluate the indefinite integral fx cos x dx x sin 2x cos 2x a. + c 2 x sin 2x cos 4x b. + c 2 2…

A:

Q: The following five statements, numbered 1 to 5, were made about the graph of = tan c. Statement 1…

A: