Suppose that in a certain country the life expectancy at birth of a female is changing at the rate of g'(t) = 3.90075/(1+1.05)^0.9 years/year. Here, t is measured in years, with t = 0 corresponding to the beginning of 1900. Find an expression g(t) giving the life expectancy at birth (in years) of a female in that country if the life expectancy at the beginning of 1900 is 37.15 years. g(t) =        What is the life expectancy (in years) at birth of a female born in 2000 in that country? (Round your answer to two decimal places.)  yr

Q: %3D I WWW-awu.aleks. O EXPONENTIAL AND LOGARITIHMIC FUNCTIONS 三I Expanding a logarithmic expression:…

A:

Q: fy = e2" 2-3 , then find y" at x = 0 Enter your answer as a decimal

A:

Q: For each problem, find the particular solution of the differential equation that satisfies the…

A: The given differential equation is: dydx=exy2 ; y-2=2e3+3e3e   As we know that; The Power rule:…

Q: Find the differential equation corresponding to the family (x + a)? + 2y? = a?, where 'a' is the…

A: To find differential equation.

Q: Find an equation of the tangent plane to the surface at the given point. g(x, y) = arctan Y. (4, 0,…

A:

Q: Determine whether the following series is convergent or divergente: 00 (-1)" 2-n4 +2

A: We can solve thus as follows:

Q: I"f'(x) 0. then which of the following is true? o f(x) is increasing and concave up o f(x) is…

A: If f'(x) < 0 and f''(x) > 0 Then , which of the following statement is true

Q: Let y = tan(4æ + 5). Find the differential dy when a = 5 and da 0.2 %3D %3D

A: As per our guidelines we are supposed to answer only one question at a time. Kindly repost other…

Q: 4.1 Consider the three permutations in S6: 1 2 3 4 5 6 4 5 6 2) 3 1 1 2 3 4 5 136 5 2 4 1 2 3 4 5 S…

A: Given

Q: 1. Find D„f at P: f(x,y) = sin(8x – 5y); P (5,8)); u=((i)

A:

Q: 立 O EXPONENTIAL AND Table for an exponential function The funcuun g is defined by the following…

A:

Q: Solve the following differential equations of (у-ху)dx + хdy %3D0

A:

Q: Find the volume of the solid that results when the region enclosed by the given curves is revolved…

A:

Q: Use the comparison test to verify that the following serie 00 1 Σ n=17+n7

A:

Q: Use an improper double integral to find the volume of the indicated solid. z = e-(x + y)/7 0s x < 00…

A: Volume , V = ∫∫R f(x,y) dy dx

Q: The value of the integral I = e-x2/7 dy is required in the development of the normal probability…

A:

Q: Find the arc length over the domain 0<t<5 7t 1 10) x= V-7t – 2, y=- + | 4 2

A:

Q: Find an equation for the given polar graph. NOTE: Numeric label on this graph represents distance…

A:

Q: Find the fluid force on the vertical side of the tank, where the dimensions are given in feet.…

A:

Q: (a) Suppose that f is differentiable, positive and decreasing on (a, b] and has no critical points.…

A: Given problem:-

Q: 2. Let f(x) be a function of period 27 such that f(r) = over the interval 0 < x < 2n. 2 a) Sketch a…

A:

Q: A spring has a normal length of 10 inches. It has also been determined that its spring constant is…

A: Given that a spring has a normal length of 10 inches. It has also been determined that its spring…

Q: 6. (Section 4.3) Find the area under each curve over the indicated interval. (a)y = 6- x2, (-2, 1]…

A:

Q: 1150 15" 26" The total length of a windshield wiper arm is 26" The wiper blade itself is 15" The…

A: shaded area = total area - mechanisum area shaded area = θπR2/360 - θπr2/360 where R = 26 r= 15 θ =…

Q: Let y=A cos x + B sinx is the solution of the differential equation

A: Follow the procedure given below.

Q: Write each symbolic statement as an English sentence. p: Taylor Swift is a singer. q: Taylor Swift…

A:

Q: 2х x-1 lim X-3 6- 2х

A: Solving the problem by finding the value of the limit.   NOTE :: As per our Expert guidelines we are…

Q: Show that la 1 1 1 a 1 - (а + 3)(а - 1)3. - 1)³. %3D 1 1 a 1 1 1 a

A:

Q: Let y = sin(2x). If Aa 0.3 at a 0, use linear approximation to estimate Ay Ay = Find the percentage…

A:

Q: Find the directional derivative of the function at P in the direction of v. F(x, y) = x³ - y, P(8,…

A:

Q: Simplify tan(arccot0).   undefined 0 pi/2

A: Topic = Trigonometry

Q: 2" (2n + 3 )! By the series test: n=1

A: We need to check the convergence of the series :

Q: Use an iterated integral to find the area of the region. y = 4 – x2 dy dx = y 5| 3 2 -1 1 3 -1}

A: Given,              y = 4-x²

Q: Find the differential equation corresponding to the family (x + a)? + 2y2 = a², where 'a' is the…

A:

Q: Compute f′(x). a) f(x) = (x2 +1) e−x^2  b) f(x) = (4e−x − e−3x)3  c) f (x) = x2 ln (x2 − 4) d) f…

A: Product Rule of differentiation : du.vdx = u.dvdx +dudx.v dxndx=n.xn-1 deaxdx=aeax Note : As per…

Q: x4 - 4x3 + 4x2 + 1 2. Determine the open intervals where the graph of f(x) is concave upward or…

A: We can solve this as follows:

Q: Solve the initial value problem: y" - 12y' + 36y = 0 ; y(0) = 2/3 , y'(0) = 0

A: We want to find solution of the given initial value problem.

Q: Find y' (-1) if y = In (a² + 5)° (2 – 4æ)®

A: I have stated the used formulas in the solution

Q: Solve (x² + 1) + 2xy = dy 2 dx x2+1

A: The given equation is;  (x2+1)dy/dx +2xy =2/(x2+1).

Q: 5

A:

Q: S x²(csc2x³)(cot2x³)dx

A:

Q: Use the cylindrical shell method to calculate the exact volume of the solid formed by rotating the…

A:

Q: Use the comparison test to test the series n2- 1 n =1 クタ

A:

Q: Finding an Equation of a Function  Find an equation of the function f that has the given derivative…

A:

Q: What is the minimum product you can achieve from two real numbers, if one of them is three less than…

A: This question is based on application of derivative.

Q: 5. Find the equation for each graph: B -2 2 -2 -2

A:

Q: Find the equation of the plane through (-3, 8, -8) that is perpendicular to the plane 7x-y+z=2 and…

A: General equation of plane is taken and given planes are used.

Q: Consider the curve y = 4x3. The sketch of the portion of this curve between x = - 1 and x = 8 is…

A:

Q: 3. Give the parametric and symmetric equations of the line that passes through the point (4,-3,5)…

A:

Q: after t hours is given by v(t) == 3t"+2t. Find the distance the particle travels during the first 4…

A: Given query is to find the distance in first 4 hours.