3. We'd like to know the first time when the population reaches 7000 people. First, graph the function from part (a) on your calculator or Desmos. In the same window, graph the line y = 7000. Notice that you will need to adjust your window so that you can see values as big as 7000! Investigate the intersection of the two graphs. (This video shows you how to find the intersection on your calculator, or in Desmos just hover the cursor over the point.) At what value t> 0 does the line intersect with your exponential function? Round your answer to two decimal places. (You don't need to show work for this part.) (2 points)

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by x…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: IV. Consider the function f(x) = esin 2x 1. Find the second-degree Maclaurin polynomial of f(x). 2.…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: determine the final and initial value of the expression below: Help

A: Step 1:

Q: Find the one sided limit 2 lim Flx) where f(x) = (x²-4_x<l X73- 2 34-x² 1<x<3 3x-1 358

A:

Q: In the given figure, P = 51 lb. 65° 25° 35° 75 lb P B Determine the required tension in cable AC,…

A: Step 1: Understanding the ProblemWe need to determine the tension in cable AC so that the forces…

Q: || 8 Example: If ƒ (x + 2π) = f(x), obtain Fourier series expansion for the function given by 2x 1+…

A:

Q: Pls help me with the step by step solution  thank you

A:

Q: Use integration by parts to determine which of the reduction formulas is correct. O 6 sec (x) dx = 6…

A: To verify which reduction formula is correct using **integration by parts**, let's proceed step by…

Q: (b) For each of the following sets, 6 is an element of that set. (i) {x ER|x is an integer greater…

A: Let R denotes the set of all real numbers and Z denote set of all integers.If an element a is a…

Q: find the roots it may help to know b =1

A: Step 1: Define w Step 2: Compute p(w)Step 3:Roots of p(x) Step 4: Final Answer

Q: dx Y+2 h dy x + Z " dz X+Z find three Soultion indepared

A: Approach to solving the question: To solve the system of equations: y+zdx​=x+zdy​=x+ydz​ we equate…

Q: Show all steps. Correct answer is 37.6991118

A:

Q: Simpson’s Rule with n = 4 subintervals to estimate the integral of the squre root of x dx with upper…

A: We can estimate the error made using Simpson's Rule using the error bound formula for Simpson's…

Q: O Prove that the function f(x, y) = (x² + y²)e-(x²+y²) has infinitely many critical points and…

A: Prove that the function  f(x,y)=(x2+y2)e−(x2+y2) has infinitely many critical points and classify…

Q: Question 3 1 pts By changing to spherical coordinates, calculate A = SSS, e(x²+y²+z²)³/2/2 dV, = 2x…

A:

Q: Given the graph of f(x) below. Determine the average rate of change of f(x) from x = -2 to x = 2.…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: how do i estimate the area under the graph of f(x) = 2 cos(x) from x=0 to x= T / 2 using four…

A: Step 1: Step 2: Step 3: Step 4:

Q: Total marks 15 5. (i) Let f R2 R be defined by f(x1, x2) = x² - 4x1x2 + 2x3. Find all local minima…

A: 5 (i)(ii)6(i)

Q: 1 pts Let F and G be vector fields such that ▼ × F(0, 0, 0) = (0.76, -9.78, 3.29), G(0, 0, 0) =…

A:

Q: For the vectors a = {2, 8} and b = {4, 6}, find orthab.

A:

Q: 7. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.1.505.XP. Evaluate the integral. (Use C for the…

A: Detailed Explanation: Question 7: Question 8: Question 9: Problem3:∫ln⁡(7x+1)dx Question 4:…

Q: find the general soultion (D-DxDy-2Dx)Z = sin(3x+4y) + x²y

A: Approach to solving the question: We are tasked with solving the partial differential…

Q: Please find the power series representation of h(x) as well as the IOC. You can use table of…

A: Step 1: Power series of tan−1(x) From the Maclaurin series table:…

Q: 1 pts Let F and G be vector fields such that ▼ × F(0, 0, 0) = (0.76, -9.78, 3.29), G(0, 0, 0) =…

A:

Q: 8. Graph the polar equation r = 4 cos 30. Show work to fully justify your graph. 2 2 2 2

A: Step 1: Key Properties of the Rose CurveThe general equation for a rose curve is r=acos⁡(nθ) or…

Q: Find the (perpendicular) distance from the line given by the parametric equations (x(t) = 5+9t y(t)…

A: To find the perpendicular distance from the point P(−1, 1, −3) to the given line, we follow these…

Q: a C d 2 1 -1 0 1 2 3 -1 Graph of f'(x) (5) The graph of f'(x), the derivative of f(x), is shown in…

A: The question involves analyzing the graph of  f'(x) , the derivative of  f(x) , to determine which…

Q: 2) Drive the frequency responses of the following rotor system with Non-Symmetric Stator. The system…

A:

Q: Help me expand this fraction below.

A: If you have any help please let me know in comment box thankyou.

Q: Show that the Laplace equation in Cartesian coordinates: J²u J²u + = 0 მx2 Jy2 can be reduced to the…

A: Approach to solving the question: Detailed explanation:Examples: Key references:

Q: In the following exercises, evaluate each definite integral using the Fundamental Theorem of…

A: 170. To evaluate the integralget the antiderivative of each expressionx2 -&gt; x3/3-3x -&gt;…

Q: 1. (i) (ii) which are not. What does it mean to say that a set ECR2 is closed? [1 Mark] Identify…

A: Approach to solving the question:(i) Definition of a Closed Set in  (R2)A set (E⊆R2) is closed if it…

Q: 4 Consider f(x) periodic function with period 2, coinciding with (x) = -x on the interval [,0) and…

A: Step-by-Step Detailed SolutionYou are given a periodic function f(x) with period 2π, defined as:f(x)…

Q: k. 1. |_ 1/2 S 0 cos(x-2) x3 √1+ e¯x ex dx dx

A: First, we simplify the integrand. The term S is a constant and can be taken out of the integral. The…

Q: Find the Laplace transform of f(t).  f(t) = sin(2t)e-4t

A: Step-by-Step Solution: We will use the property of the Laplace Transform:L{e^(-at)f(t)} = F(s+a)…

Q: H.W Ex find the solution by using Bernoulli method of D.E? dy/dx4y = xy³/2

A: FEEL FREE TO ASK FOR CLARIFICATIONS

Q: 5 4 3 21 N -5-4-3-2 -1 -2 -3 -4 1 2 3 4 5 -5+ Write an equation for the function graphed above y =

A: — EXPLANATION —

Q: The integral of x2 dx with upper bounds of 2 and lower bounds of 0 is 8/3. The error bound is…

A: The problem is asking us to verify the given integral value and to confirm if the error bound is…

Q: Assuming tumor mass is proportional to its volume, the diameter of the tumor is related to its mass…

A: Solution:The tumor's growth and dynamics are modeled with:dtdM​=kM2/3−μMwhere  k  and  μ  are…

Q: Find the limit. (If the limit is infinite, enter 'oo' or '-o', as appropriate. If the limit does not…

A: If you have any questions let me know in the comment box thankyou.

Q: 4. Let F RNR be a mapping. (i) x ЄRN ? (ii) : What does it mean to say that F is differentiable at a…

A: ### (i)Definition of Differentiability:A mapping  F:RN→Rm  is said to be differentiable at a point…

Q: Find the equation of the line / in the figure below. Give exact values using the form y = mx + b. m…

A: Given the function  f(x)=10x and  Point : x=log⁡(9) Put the value of x=log⁡(9) in f(x),…

Q: Sketch a graph of f(x) = 2(x − 2)² − 3 4 3 2 1 5 ས་ -5 -4 -3 -2 -1 1 2 3 4 -1 -2 -3 -4 -5+ Clear All…

A: Key references:https://youtu.be/TxPDQfWeAUg?si=auU0w_nfOyr6mRyU

Q: Find the slope of the line secant to the curve F(x) = 13-x³ (from x=1 to x=2]

A: If you have any questions let me know in the comment box thankyou.

Q: For the planes described by 4(x+1)+y+10(z-2)=-18, and-8(x-2)+2(y+1)+3z=10Write the vector form of…

A: Step 1: Step 2: Step 3: Step 4:

Q: Pls help me asap pls pls

A:

Q: 1. Given the vector field F(x, y, z) = -zi, verify the relation 1 VF(0,0,0) lim +0+ volume inside S…

A: The vector field is given by F(x, y, z) = -zi. The surface S is the surface of a cube centered at…

Q: x(t) =2t2-t y(t) = 1-3 Find dy/dx when t = 0. Round off to two decimal places.

A: We are given two functions, x(t) = 2t^2 - t and y(t) = 1 - 3t, and we are asked to find the…

Q: Please help me with these questions. I am not understanding what to do. Thank you

A:

Q: write it down for better understanding please

A: Step 1: