If the population of a country doubles in 50 years. In how many years will it triple under the assumption that the rate of increase is proportional to the number of inhabitants? None of the choices 89 O 75 79 80

Q: Determine the diameter of a closed cylindrical tank having a volume of 11.3 m to obtain a minimum su...

A: The volume of the closed cylindrical tank is 11.3 m3  

Q: Solve for the indefinite integral of the given. Upload your solution before moving on to the Type N ...

A:

Q: Determine the limit of the sequence or show that the sequence diverges by using the appropriate Limi...

A: We can solve this as follows:

Q: Consider the solid obtained by rotating the region bounded by the given curves about tthe specified ...

A:

Q: Use linear approximation to estimate the following quantity. Choose a value of a to produce a small ...

A: The objective of the question is evaluate the value.

Q: Find an equation of the tangent plane to the surface at the given point. g(x, y) = arctan Y, (6, 0, ...

A:

Q: Given that lim f(x) = 2 and that lim f(x)= -2, does lim f(x) exist, and if so, what is its x→-2 x→-2...

A:

Q: Calculate Hhe fourier coeffrecents Of the fancdion fR) over the nderval -スと×L2 here: Fx)=(0,-2くメCー %...

A:

Q: dy dæ3 +7 - 7y = 0 dx O 1st order, 1st degree O 1st order, 3rd degree O 3rd order, 1st degree None o...

A: To determine the order and degree of the following differential equation.xd3ydx3+7dydx-7y=0 

Q: nt Use the model A=Pe" or where A is the future value of P dollars invested at interest rate r conti...

A: Given A=P(1+rn)nt

Q: Find the general solution of the differential equation and check the result by differentiation. (Use...

A:

Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of int...

A: Please see the answer below.

Q: A Evaluate the following integrals. 1. S2 dx 2. S6x dx 3. f9° dt 4. S-15x dx 5. S(3x - 4) dx 6. S(7u...

A: As per guidelines, I can answer maximum three subparts of a question. Since you have asked for 11 su...

Q: Find the center of the mass of a thin plate of constant density 6 covering the region bounded by the...

A:

Q: Determine the equation of the line that is tangent to y = elan (2x) at x = 8

A:

Q: * =1+ ev-z+5 e + e+y Option 5 O None of the Choices C = xe + e-y C = xe-5 et-y - Option 2 Option 1 C...

A:

Q: Find the average value of f(x) = over the interval [2, 4]. (3x + 1)2

A: Given problem:- Find the average value of f(x) = x/((3x2 + 1)2 ) over the interval [2, 4].

Q: Find the dimensions of the rectangle of maximum area that can be inscribed in a right triangle with ...

A: A rectangle is inscribed in a right triangle. The base of the triangle is a=12 inches and height of ...

Q: Suppose a person wants to travel D miles at a constant speed of (2 + X) mi/hr, where x could be posi...

A: topic - linear approximation of a function

Q: 5. Obtain the particular solution for the given differential equation when SHOW YOUR COMPLETE AND CL...

A: topic- differential equations

Q: Find the particular antiderivative that satisfies the following conditions: dy/dx=6x+8x√3;y(1)=5.dy...

A:

Q: 4 s cot?x csc'x dx CSC X

A:

Q: (2x – y)dx + (4x + y – 6)dy = 0 -

A:

Q: y ev = z - 1: y (2) = 0 O = In(z² – 2x + 1) O = In(z? – 2z) + C O = In(z² - +1) O = In(z² – 2z)

A: The differential equation is given by yy'ey2 = x-1 The initial condition is given by y2 = 0 To evalu...

Q: Find all local minimum and local maximum value(s) of the function. f(x) = 2 cos x – sin? x, 0< x< 27...

A: Option 4

Q: 7 Compute the exact value of cos (금) Suppose that - is an angle in quadrant 2 and that cos y = 25 co...

A:

Q: If an open box is made from a tin sheet 9 in. square by cutting out identical squares from each corn...

A:

Q: A farmer plans to enclose a rectangular pasture adjacent to a river (see figure). The pasture must c...

A: topic- application of derivatives

Q: (x2 – x + 1)y = 4(1 – 2x)y O y = (z? - a + 1)* + C O y = C(x? - a + 1)-4 O y = C(x² – x + 1)4 O Iny ...

A: We know, ∫ dx/x = ln|x| + C , C is a constant. ln(a)+ ln(b)= ln(ab) b*ln(a)= ln(a)b  

Q: _8. Water is pumped into a spherical tank at a rate of 3 cubic feet per minute. Which is the correct...

A:

Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflect...

A:

Q: Find a polynomial of degree n that has the given zero. (There are many correct answers.) Zero Degree...

A: To find : A polynomial of degree n that has the given zero. Given information: Zero: x=9, Degree: n=...

Q: What point on the line y = 7x + 10 is closest to the origin? ... Let D be the distance between the t...

A: We will find the point and the objective function. 

Q: a(sin 2a+cos a sin 2a) lim 1-cos² a a→0

A:

Q: A Ferris wheel is 20 meters in diameter and boarded from a platform that is 1 meter above the ground...

A:

Q: d Use quotient rule to prove [cscx] = -cscxcotx. dx

A:

Q: Canada, the total for any store purchase paid in cash is rounded to the nearest 5 cents, where no r...

A: Given query is to find the absolute error.

Q: 2. Determine the exact value of f'(2) for f(x) = (2e³ + 3e-6x)5.4,

A:

Q: O y" + xy" + 3y² = 5

A: Given that the four differential equations To find:- Which is 3rd degree differential equations

Q: given the vector field A(ρ,φ,z)= cos(φ)*ρ+ e^-6z *φ+ 6*z find the laplacian and evaluate it at the p...

A: We have to find the Laplacian at the guven point.

Q: dz at the point (3,2, 1), where z is defined implicitly by the equation z +z²x² – y = 8 Calculate dx...

A:

Q: 9. The velocity, in kilometers per hour, of a car as it beings to slow down is given by the equation...

A:

Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of int...

A: We need to evaluate the following integral I = ∫4+1t31t2dt                            ...........1

Q: Tutorial Exercise Find two numbers whose difference is 186 and whose product is a minimum. Part 1 of...

A: Let's find. 

Q: Evaluate the definite integral. Use a graphing utility to verify your result. 8. -Ix - 5|) dx

A: topic - integration

Q: d 1) a = (a & b nonzero real numbers) dx

A:

Q: 1- Find the area of the region enclosed by the cardioid r =1+ cos 0

A:

Q: 8 7 6 5 4 3 2 1 -8 -7 -6 -5 -4 -3 -2 4 1 2 3 4 6. 7 8 -3 -7 -8 flx) = This graph represents the func...

A:

Q: From among the 36 students in a class, one president, one vice-president and secretary are to be ele...

A: It is given that, there are 36 students in a class. Out of which one is elected for president, one f...

Q: (3k + 8)! Que Consider the series ) ak k3k QuE k=1 k=1 Que a) What is ak+1? Que Que Que: Ques ak+1 b...

A: