A bird species in danger of extinction has a population that is decreasing exponentially (A=A₂e). 5 years ago the population was at 1660 and today only 960 of the birds are alive. Once the population drops below 260, the situation will t Hint: When you find k, round it to 6 decimals and use that value to answer the question ANSWER: This will happen in approximately Σ year(s) from now. Entered Answer Preview 11

Q: The limit represents the derivative of some function f at some number a. State such an f and a. (1 +…

A:

Q: B: Evaluate the following: 2- 6 I (5.66) 5r (0.66)

A: Given 6Γ5.665Γ0.66

Q: Solve each of the following differential equations given that each has an integrating factor of the…

A:

Q: lim √x+15 cos (x + 4) X--4t

A:

Q: Write the Cayley table for the group U(15).

A: As per the instruction, we will be answering the first one.

Q: Q5. Find the directional derivative of the function [f(x, y, z) = xy + y.z+z.x] at the point 1-z…

A: The given function is: f(x,y,z)=xy+yz+zxGiven point:  P=1,-1,2The given direction line:…

Q: 2. Use the different differentiation rules and formulas to determine the derivative of the following…

A:

Q: x 6 ♥ 5.5 5.1 5.01 f(x) Based on ONLY the table of values above, what conclusion c lim f(x) = 10.…

A: Topic:- application of derivatives and limits

Q: 2. Given: f(x)= 5x² + 13x+6 |x+2| [4 - 3x] + x, if x < -2 if x ≥ -2 Determine if lim f(x) exists. If…

A:

Q: choose the correct answer and answer it all

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the length of the curve. 8(1) - (48, 1², 12³). r(t) = Osts 1

A:

Q: Draw a fraction-circle diagram that illustrates 5 ·

A: Since you have posted multiple questions, according to Bartleby's policy, we'll solve the first…

Q: Evaluate lim x-2+ 2x + [2x] x² + x - 2 2x + [2x] 2 x² + x - 2 and lim x

A:

Q: 3. Find d² d02 sin Ꮎ (1 1+ cos 0 Simplify your answer.

A:

Q: Q4. B. Find the tangential vector (T), normal vector (N) and binomial vector (B) for the position…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: The representation of an even integer is 2k; and that for odd is 2k+1 or 2k-1 for some integer k.…

A:

Q: Given that s(x) = - + x + 8 , what is the antiderivative of s(x)? (Do not include the constant C in…

A: We can find the answer as below.

Q: 2y + [[2-y]] -m √→-2²¯ y² + y -2 lim 2y + [[2-y]] Y→-2+ y² +y-2

A: Topic:- application of limits

Q: The graph below is the function f(x) -5-4 2 03 Find lim 24-1- Find lim z→-1+ da 14 Find lim 24-1 23…

A: According to the graph

Q: Consider the vector function given below. r(t) = (5t, 3 cos(t), 3 sin(t)) (a) Find the unit tangent…

A: NOTE: Refresh your page if you can't see any equations. . the unit tangent vector you have already…

Q: If x(t) denote the position of a body at time, then the velocity of the body at time t is dt True…

A: Topic = Derivative Correct option =True

Q: 3. f(x) = tan(sin x²)

A:

Q: For the function g(x) graphed here, find the following limits or explain why they do not exist. a.…

A:

Q: (2-9x³), find f'(x). Given f(x)= In (2-9x³), f'(x) =

A:

Q: 2. A circular walkway is to be built around a monument, with the monument as the center. The…

A: The equation of the circle with the centre   ( h, k) and radius r is given by      (x - h)2 + (y -…

Q: Evaluate lim √9x² − 5x + 1 + 3x 3x). X118

A:

Q: and sketch its graph. Label all criti 1 c) f (x) = xe-*

A: Given problem:- fx=xe-x

Q: b. f(x) = 4x² x²+49

A:

Q: Evaluate. Choices: y lim f(x) x-1 a. -1 b. 4 5 C. 2 d. Limit does not exist X

A:

Q: Find the derivative of each of the following. A) f(x) = 128x f'(x) = B) g(x)=x¹8x g'(x) = C) h(x) =…

A:

Q: 20. lim 1-1√1 21/2+38-5

A:

Q: Solve (a) dy +2 = 4x²; y(1) = 2, (b) av' - 4y = x, (c) dr = (d) dx + 2y cot a = csc a. = 3(y +…

A: Solution is given below:

Q: lim √2x² - 4x Evaluate *→

A: The given limit is: limx→2-2x2-4x

Q: Multivariate Calculus

A: We have to find the region bounded by the curves:x+y=2 ,  x=0 , y=0.Here x+y=2⇒y=2-x⇒y=(2-x)2…

Q: A mummy was recently discovered. It now contains 66.7% of its original Carbon 14. About how old is…

A:

Q: Use the graph of the function f shown to estimate the following limits and the function value.…

A: We can solve it as follows.

Q: Oil spilled from a ruptured tanker spreads in a circle whose area mi² increases at a constant rate…

A: Using differentiation

Q: Decompose 2x + 5 2x2 - 11x +5

A: A detailed solution is given below.

Q: (k/x². x 2 -1 < x≤2 x ≤-1

A: If the function is continuos at a point then the left hand limit and right hand limit of the…

Q: Solve (d) de sete + 2y cot = csc .

A:

Q: A = Γλ-4 0 0 X 0 0 2 3 A-1

A: Given :A=λ-4000λ203λ-1

Q: Question 12 of 12 View Policies Current Attempt in Progress Find dy dx dy dx Enter the exact answer.…

A:

Q: Find the average value gave of the function g on the given interval. g(x) = 2 cos(x),   (-π/2, π/2)…

A: Given query is to find average value of the function.

Q: 10. Given the graph below is f(x). Draw the graph of the slope f'(x) 5 4- 3 2 1 0 -4-3-2-1,0 1/2 3 4…

A: Solution is here

Q: [200] 020 00 02

A:

Q: The table shows the position of a motorcyclist after accelerating from rest. t (seconds) (ii) (1)…

A:

Q: The graph below is the function f(x) -5-4-3-2 Find lim #111 Find lim #111 Find lim x-1 3 2 1 ON B…

A:

Q: 4. If the line normal to the graph of f at the point (1,2) passes through the point (-1,1), then…

A: From given two points we can find the slope of normal

Q: Decide whether the limit exists. If it exists, find its value. lim f(x) x-1 02 -- 01 3+ 2 Ⓡ O Does…

A:

Q: f(x) = 4x² x²+49

A: Locate the possible asymptotes and intercept/sfx=4x2x2+49