c) Sketch the grap 109. Hearing Impairments. The following function approximates the number N, in millions, of hearing-impaired Americans as a function of age x: N(x) = -0.00006x³ + 0.006x2 -0.1x+1.9. a) Find the relative maximum and minimum of this function. b) Find the point of inflection of this function. Sketch the graph of N(x) for 0 ≤ x ≤ 80.

Q: Please help on all asked questions. Please show all work and steps. Please circle the final answer.

A: Step 1: Step 2: Step 3: Step 4:

Q: Show all steps. Correct answer are: flow = 14pi/3; flux = 0

A:

Q: 3. Evaluate. Leave your answer in simplest exact form: 8 x²+x+1 √x dx

A: Step 1:

Q: Start with a circle of radius r=9. Form the two shaded regions pictured below. Let f(6) be the area…

A:

Q: Please help on all asked questions. Please show all work and steps. Please circle the final answer.

A: 1:  2:

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

A: We're tasked with approximating the area under the curve of the function f(x) = 2cos(x) from x = 0…

Q: 3. Consider the following system of equations, x(t) = (x, y), - x' = (3-1)x 5y y' = 2x+(3+ 1)y (a)…

A: C)D)

Q: 9. Consider the cardioid r = 1 + cos 0. a) Set up an integral to represent the area inside the…

A: Problem AnalysisWe are tasked to:Set up an integral to calculate the area inside the cardioid…

Q: The answer is About 7.2mm, help solve step by step to get this answer

A: Step 1: Identify the functionThe equation is a quadratic function L(t)=−0.01t2+0.788t−7.048. Since…

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

A: Simpson’s Rule is a numerical method used to approximate the definite integral of a function. It…

Q: In some urban locations, if one pollutant is found in the air, we often find others as well. Two…

A: a)To draw a scatterplot, we simply need to plot the points as an ordered pair on a 2D Cartesian…

Q: Solving the following Utt +Uxx = 0 U (x, 0) = -, U+ (x10) = 0 ②Ut + U U x = Uxx, u(x) = x Using…

A: Step 1:

Q: At what points on the given curve x = smaller x-value (x, y) = larger x-value (x, y) = 2t3, y=3+ 40+…

A: To find the points on the curve where the tangent line has a slope of 1, we first need to calculate…

Q: Evaluating the limit lim x³ sin x→0 1 49 using the Squeeze Theorem, it comes out that lim x³ sin x→0…

A: Step 1: Step 2: Step 3: Step 4:

Q: only part e needs an answer.

A: To find where the function f(x)=x4−9x3 is decreasing, we need to determine where its derivative,…

Q: 25 Given the following graph of the function y = f(x) and n = 6, answer the following questions…

A: Let's work through the solution step-by-step for estimating the area under the curve using both the…

Q: Find the Laplace transform of f(t).  f(t) = 8t6 + 3t4 - 2t + 5

A: The Laplace transform is an integral transform that converts a function of a real variable t (often…

Q: Please help on all asked questions. Please show all work and steps. Please circle the final answer.

A: Step 1:The given vectors are:- u=[3,2,−1]v=[−2,2,4]a)…

Q: Pls help me with step by step solution and accurate answer

A: Step 1: Identify the derivative rules that should be usedPower Rule:d/dx (xn) = nxn - 1 Chain…

Q: find the curvature when t = 0.5. round off to two decimal places. r(t) = <t, 1/2t^2, 1/2t^2>

A: The first derivative of the vector function r(t) = is given by r'(t) = .

Q: A. What is the scalar triple product? B. Determine the volume of the parallelepiped defined by the…

A:

Q: 5. Construct a (2 × 2) matrix that performs the following linear transformations, in order, at once:…

A:

Q: Consider the Boundary-Initial Value problem J²u и ди 4 0 0 მე2 It u(0,t) = 0, 0, u(6,t) = 0, t>0…

A: Working:1. Finding b_nInitial condition: The initial temperature distribution of the wire is given…

Q: With the first image attached, how can i answer question 5 ? thank you so much

A:

Q: Classify each of the following first order differential equations 1. is a linear equation 2. is a…

A: Step 1: *Identify the Equation Types*: Review each differential equation's structure to determine…

Q: f(x, y) = x² + y² − 2y + 1; R = {(x, y): x² + y² ≤ 4}

A:

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: Solving the integral Equasitin X Ⓒ u(x) = 1-xsinx + 5 = u(t) St by series sol-Moted- ☞ U (x)=2-2-x+)…

A: Step 1: Step 2: Step 3: Steps are given for solution of this.  Step 4:   If the solution was…

Q: The integral of x2 dx with upper bounds of 2 and lower bounds of 0. Compute the integral exactly

A: The integral we are trying to solve is:∫02x2dx

Q: Which of the following is a solution of the initial value problem √ y ln(y) dx + x dy = 0 \y(e) = e…

A: ANSWER :​

Q: Sketch the region of the integral √ √ dy dx. Write an equivalent double integral with the order of…

A: 1. Sketch and Reverse the Order of Integration Reversed Order:       3. Volume of the Region in the…

Q: I want the solution with all the details if L is of rank n

A:

Q: According to the method of undetermined coefficients, the differential equation y" + 4 y′ + 4y = 3…

A: Solution:

Q: #7 Using implicit differentiation, find the equation of the tangent line to the given curve at the…

A: Step 1:Step 2:

Q: 5. Submit answer Compute the surface area of the solid of revolution formed by rotating the bounded…

A: Step 1:Step 2: Step 3: Step 4:

Q: Construct 6X9 matrix with nullity 2

A: Here is the sample matrix:  Rank = 7 , Nullity = 2

Q: 2 D Question 3 D For the right triangle below, find the measure of the angle marked with question…

A: Explanation :  Question:  3Note: we assumed unknown angle ? as θ.  Question:  4

Q: Give equations describing the regions below in cylindrical or spherical coordinates.(a) The unit…

A:

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: 7. Consider the following parametric curve: x = sint, y = 2 cost, for 0 ≤t≤ a) Eliminate the…

A: Ans 7(a):Ans 7(b):Ans 7(c):

Q: 3) For the function: F(x) = x+2 = • (23) 2x-3 Sketch the graph by doing all the steps from question…

A: Detailed explanation: Let's analyze the problem step-by-step. The function given isThe tasks are…

Q: Consider the general series: Σ an = s; where an are the terms of the series n=1 and s is the sum of…

A: A.nth partial sum of the series is defined bysn​=∑k=1n​ak​B.Sum of the series is the limit of…

Q: 2) f(x) = 2x-1 x²-x-6 a) Find all intercepts. (3) b) Find all asymptotes. (3) c) Put all this…

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

Q: Show all steps. Correct answer is 37.6991118

A:

Q: Hyperbolic function - Home work show that: (sechu) = -sechu.tanu. Ju ax dx Prof that: (sechu) = du…

A:

Q: 36. Target Weight. The target weight w for an adult man of medium build is w(h) = 0.0728h² - 6.986h…

A: Step 1: Step 2: Step 3: Step 4:

Q: Calculate the arc length of y = 5x + 1 as a varies from 0 to 1. S Submit answer Next item Answers…

A: The problem is asking us to find the arc length of the function y = 5x + 1 as x varies from 0 to 1.…

Q: A right circular cone of height h and base radius r has total surface area S consisting of its base…

A: Step 1:Using law of sines we haveba​=sinBsinA​It is given that initially, A=4π​ and…

Q: Describe the regions whose equations in cylindrical or spherical coordinates are given below—either…

A:

Q: A sequence is given by the formula an = n/2n^2 +1 . Show the sequence is monotone decreasing for n…

A: StrategyTo prove the sequence is monotone decreasing, we need to show: an​ > an+1​  for all…