The world population is approximately 6.1 billion, and can be modeled by the function P(t) = 6.1e0.012t where population is measured in billions and time t is measured in years. How long will it take for the world population to double? Round answer to the nearest tenth.

Q: 5 decimal places. The two triangles are similar. 8 4 5

A:

Q: Convert the point (x, y, z) = ( – 5, 5, — 5) to cylindrical coordinates. Give answers either as…

A:

Q: If t= -pi, evaluate (if possible) Part 1. sin (t) Part 2. cos(t) Part 3. tan(t)

A:

Q: For the Max Y isnt 70 and for the mim the Y isn't right.

A: The given function is fx=20x3-30x2-120x+10 on the interval -2, 3. We have to find the absolute…

Q: Find the rectangular coordinates of the points that the polar coordinates are given. p) (2, 17π/6)…

A: Given query is to find rectangular coordinates.

Q: Use Euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the…

A: Given y'=x2y-y22    , y(0)=3    , h=0.2

Q: The top and bottom margins of a poster are each 12 cm and the side margins are each 8 cm. If the…

A: The top and bottom margins of a poster are each 12 cm and the side margins are each 8 cm. If the…

Q: Suppose a Cobb-Douglas Production function is given by the following: P(L, K) = 40L0.75 -0.25 where…

A: Concept: The slope of a function can be found in its first derivative. The slope of the curve grows…

Q: Solve the system of linear equations using the inverse matrix O C S S 80 x - 2y - 4z = 2 2x-3y-6z =…

A:

Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

A:

Q: 1. Find the equation of the tangent line to the graph of the function implicitly defined by the…

A: given that, 3y+cos(y)=x2  and ordinate is 0 find the equation of the tangent?

Q: Differentiate y = cot ¹(t) + cot ¹(1/t). y = [

A: We know that: The Sum/Difference rule: f±g'=f'±g' The Chain rule: fgx'=f'gx·g'x Use the derivative;…

Q: J. H. J.. By.......

A:

Q: Evaluate the definite integral. Southe 11T 2 9 sin(x) dx =

A:

Q: (17 points) Differentiate the following function: ƒ(x) = e* + x² ƒ'(x) =

A:

Q: 3) Find the average value of the function f(x) = 5x+2 over the interval [0, 3].

A:

Q: Use implicit differentiation to find da/dt if a - t4 = 6a²t. - Answer:

A:

Q: Given that f(x) = 2x+cos(x) is one-to-one, use the formula to find (f ¹)'(1). (f ¹)'(1) = 1…

A: Given that :  f(x) =2x + cos(x)  is one to one    To find : (f-1)1 using the formula (f-1)'(x)…

Q: Express the angle -150° in rad 1. 2. - 6. 5 1|32|2N|LA 6 3. 4. None of these 5. 11 6 k 11 7T kgk k…

A: We have to change in radian form from the given degree

Q: Write a polar equation of a conic with the focus at the origin and the given data. hyperbola,…

A:

Q: Simplify the expression using only positive exponents: 24x7/2 25x 8x2/5 5

A:

Q: Suppose f is a one-to-one, differentiable function and its inverse function f-1 is also…

A:

Q: 34. 2t t² + 2t + 10 S dt

A:

Q: Decide whether the series So Use a comparison test to a p series 15k4 k5 + 5k + 3 k=1 k=1 converges…

A:

Q: A restaurant purchased kitchen equipment on January​ 1, 2017. On January​ 1, 2019, the value of the…

A:

Q: Find the general solution to the homogeneous differential equation d² y dt² The solution has the…

A:

Q: 2 Y /8-y² 1 /1 + x² + y² dx dy=

A:

Q: Find the total mass of the solid region W defined by x ≥ 0, y ≥ 0, x² + y² ≤ 4, x ≤ z ≤ 29 - x (in…

A:

Q: 3- Verify the MVT with f (x) = √7x, a=1 and b=16.

A: To verify the mean value theorem for the given function

Q: 1. Determine what type of conic the equation 9x² - 4y² + 54x + 16y + 29 = 0, represents, find all…

A:

Q: Find the exact values of the six trigonometric ratios of the angle in the triangle. sin(e) = 0.28…

A:

Q: Solve the initial value problem dy dt = 4t + 9t², y(1) = 3.

A: We  will find the required solution of initial value problem.

Q: A 16cm wire is cut in half and each half bent into the shape of a square. One bigger one smaller.…

A:

Q: A baseball team plays in a stadium that holds 62000 spectators. With the ticket price at $9 the…

A: NOTE: Refresh your page if you can't see any equations. . x=ticket price   y=average attendance  the…

Q: Enter

A:

Q: Question 2 Consider the function f(x) = 2x+52-1. For this function there are four important open…

A: Given function y= f(x).

Q: 001 Enter an exact value, using a fraction if nec- essary. Do not include units. A 6-foot person…

A:

Q: x+y+z = -3 : 2x - 2y-z = -7 -3x + y + 5z = 5

A: The given system of linear equations:x+y+z=-32x-2y-z=-7-3x+y+5z=5

Q: Identify the curve by transforming the given polar equation to rectangular equations. Y = 6 3 cos 0…

A: Given query is to find the curves.

Q: A ball is thrown vertically up from the ground. If the positive direction is upward, then h = -16t²…

A:

Q: Which formula is not equivalent to the other two? (−1)k- k-7 10 (2) Σ k = 8 -7 Ο (b) Σ k= -2 (1) k +…

A:

Q: M [=u n n! n

A: LK

Q: Solve the equation. (Enter your answers as a comma-separated list. Round your answers to three…

A: Given14e-4t = 0.9

Q: 32. √ ₁²+2x-3d²

A: Given integral I=∫xx2+2x-3 dx

Q: Find the general solution of the differential equation: dy 2ty + 4e-t². d.t What is the integrating…

A:

Q: Find d² y dx² t x = ²/² + 1, y = 1²³-1 2 2 at t = 2 for x

A:

Q: Question 13 A company's revenue from selling x units of an item is given as R = 1400x – 3x². If…

A:

Q: Let 2x² + 5xy - 3y² – 14x − 7y + 20 = 0. dy Use partial derivatives to calculate at the point (3,…

A:

Q: |¸ If f(x) = (2x)², find f(-4). 2. If f(x) = x² – 3x, find f(−1.8). 3. If 4. If f(x) = x² − 2x + 3,…

A:

Q: 6. Find the volume of the region bounded above by the paraboloid z = 9-x² - y², below by the…

A: