The population of a city is 145000. The city declines continuously by 3% per year. In how many years will the city be losing 2700 people per year?

Q: 3 sin 2 tsin2tdt (A) sint 3 (B) sin 21 (c) cost D sin2t E) None

A:

Q: 3. The cost (in dollars) of producing x units of a certain commodity is C(x)=100+50x-0.02x (a) Find ...

A:

Q: el+y dA ‚Where D= {(x, y) ||a| + \y| 0, x2 + y? < 1.

A:

Q: a'+Vi 8. f(t)D За + 5

A:

Q: Sv 8x – 16 dx=2 x- 2dx A True B False

A: Show that,∫8x-163dx=2∫x-23dxAnswer:-4LHS=∫8x-163dxLet 8x-16=udifferentiate8dx=duTherefore LHS=∫u38du...

Q: cose Evaluate the integral: de. V4- sin?e (A) None of the given choices -sn(글sne)+c B (ane) e -1 sin...

A: The solution is given in the next step.

Q: Find the limit by rewriting the fraction first. x-y+3Vx - 3Vy Vx - Vy lim (х,у)—(0,0) x#y

A:

Q: Given the differential equation y" + 5y' + 6y = 7 sin(3x) + 10 x ex Find the Differential Operator f...

A:

Q: The population of a city is 140,000. The city declines continuously by 4% per year. ...

A:

Q: In the integral, Jcos²tsin2tat , the correct u using general power formula is; sin't sint None of th...

A:

Q: tan3x)dx tan Evaluate: cos23x A - In|sec (tan3x)|+C - In|cos (tan3x)| +C B © In cos(tan3x)| +C in se...

A:

Q: A stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 60 cm/...

A:

Q: 2x2+ 2x+1 x+1 Evaluate: Je dx. A x2 + In|x+1| + C 1 + C x+1 C None of the given choices * + In|x+1| ...

A:

Q: – 3 If (x) dx: +C, then f (x) =- x4 A) True B) False

A: I have stated the used formula in the solution

Q: x²-x+1 -dx. Evaluate:

A:

Q: Match the function on the left to its appropriate antiderivative on the right. Prompts Submitted Ans...

A:

Q: If Mesin(2x) dx = eSin(2M) + C, then the M is equal to Blank 1 (use small letter, no space) Blank 1 ...

A:

Q: 17. T'(v), where T(v) is the time, in minutes, that it takes to drive from Tucson to Phoenix at a co...

A:

Q: Problem 1 At a price of $40 for a two-hour harbor tour, a water-tour company attracts 200 customers....

A: We have to find demand function , revenue function ,marginal revenue function and profit function.  

Q: Assume that all variables are implicit functions of time t. Find the indicated rate. dx dy x+4y +4y ...

A: The given function,x2+4y2+4y=49; dxdt=2 when x=7 and y=-1

Q: x2-x+1 -dx Evaluate: A 2,2-2,2-2,24C

A:

Q: Find and sketch the domain of the function. f(x.y) = Vy – 4x – 5

A:

Q: Question 11 dx 4+e (A) 4+e* (B) e ot D 4e*+1 E) None

A:

Q: Which of the following integration expression can be transformed into integral of power (Choose 2) @...

A: To find out the integration expressions which can be transformed into the integral of power. 

Q: Instructions: Determine the derivative of the ff. functions 1. y = 6x4 + 7x³ - 8x² + 9x - 10 2. y = ...

A: According to guidelines we can solve only first 3 subpart. Please resubmit the others. Thank you.

Q: Compute the surface area of the cone generated by revolving the curve c(1) = (1, mt) about the x-axi...

A:

Q: Exercises 17–18 shows the distance, s(t), in feet of a scooter from home at time t seconds. Find its...

A:

Q: Question 7 The antiderivative of COS(3X) is 1/2 (use small letter no space) Blank 1 Add your answer

A: Given : Cos(3x)We will find the integration which is antiderivative of the Cos(3x).Below find the so...

Q: dx 5+ x2

A:

Q: Find the correct u and du then find the equivalent.

A: All option given is in terms of x only but i correct for variable u and t. 

Q: nd the derivative of f(x,y)=x^2+y^2 in the direction of the unit tangent vector of the curve r(t)=...

A: The derivative of f(x,y) in the direction of unit tangent vector r(t) is given by         D = ∇f(r(t...

Q: 1. Divide. Write the answer in simplest form. 4등+ 9 2. Write the decimal as a percent. 0.89

A: Given query is to perform indicated operation on the numbers.

Q: Find the solution of the differential equation that satisfies the given initial condition. (Write yo...

A: The given differential equation is; 5xcos(x) =[2y+e^(3y)]y', y(0)=0.

Q: x+ 2, x > 0 (-x-6, x < 0' 1. Consider the function f(x) = Use table of values to find the limit of t...

A: The given question has been solved in detail.

Q: 5e2*dx 9e4x – 6e 2× + 1 4х A 3e2 B 3e2x – 2 © 3e2* – 1 D 9e * – 6e2* + 1 E Е) None

A: We have to find indefinite integral and choose correct option

Q: 3. Below is the graph of y = f'(x), which is the derivative for some function f. Using the graph of ...

A:

Q: A function F (x) is called an antiderivative of a function f (x), if A F(x) =f (x) BF(x)=f (x) OF(x)...

A: Application of derivative and integration

Q: Find the maximum or minimum value of the function. h(x) = x2 + 6x – 2 h(x) = Is this a maximum or mi...

A:

Q: | esc2tdt = In|csc2t – cot21| + C A) True B) False

A: To find out that the given integration is true or false.

Q: II. Find the first derivative of the following functions. Simplify results. Use differentiaion formu...

A:

Q: Identify the location and value of any relative maxima or minima of the function. 7) 7) ++>

A:

Q: Find x' for x(t) defined implicitly by x +tx+t° - 5=0 and then evaluate x' at the point (- 1, - 3).

A: Follow the procedure given below.

Q: (3x5 - 2x - 1) dz. dx

A:

Q: A function F (x) is called an antiderivative of a function f (x), if (A F (x) =f (x) B F (x) =f (x) ...

A: A function F( x) is called an antiderivative of a function of f( x) .  If F'(x)=f(x)

Q: Question 18 Mesin(2x) dx = eSin(2X) + C_then the M is equal to Blank 1 (use small letter, no space) ...

A:

Q: Find the oiven denivative by finding the fiot fw denivals ond dbscning the pattern that occurs 106 d...

A:

Q: Mesin(2x) dx = eSin(2x) + C, then the M is equal to B %3D

A:

Q: cost and price​ (demand) functions C(q)=100q+44,500 and p(q)=−1.9q+880​, what is the marginal revenu...

A: We will find the marginal revenue. 

Q: tan (t) dt. cos (t)

A:

Q: For the function f(x) = 3x^4 + 4x^3 − 12x^2 + 7 (1) Find the intervals of increase/decrease (2) Fi...

A: