What are the rare earth metals impacts on the human environment?

Q: 3. Biologists stocked a lake with 400 fish and estimated the carrying capacity to be 10,000. The…

A:

Q: Let u= (1, 1, 4, 5), v = (1,4, -4,9) and w = (3, 1, 2, 3). Evaluate: a) dx2 dx3dx4(u, v, w) = b)…

A: Step 1: Step 2:

Q: When estimating distances from a table of velocity data, it is not necessary that the time intervals…

A: Lower estimate of distance traveled…

Q: H.W. solve the following D.E. dy 1. a x + 2y = e−x dx

A:

Q: Find the equation of the plane containing the points P = (-3, 0, 2), Q = (-1, -1, 2), R = (-5, 3,…

A: The objective of this question is to find the equation of the plane that contains the three given…

Q: Evaluate the integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary…

A: Step 1:To evaluate the integral , we can use the integration rules for exponential functions.First,…

Q: 2. Use the method of Lagrange multipliers to find the maximum and minimum values of the function…

A:

Q: 4. Solve the following differential equation by separation of variables. dy dx = yo 8x

A:

Q: Express cos 2 sin cos(2 sin-1(+)) in terms of x.

A: The objective of the question is to express the given trigonometric expression, cos(2 *…

Q: Write the appropriate rotation formulas so that, in a rotated system the equation has no x'y'-term x…

A: The objective of the question is to find the rotation formulas for the given equation x^2 + 4xy -…

Q: 22) Does the point D(7.-1, 8) lie on the line with symmetric equations - 4 2-69 *3=1+2=20? Explain.

A: To check if the point  D(7, -1, 8)  lies on the line with symmetric equations 3x−4​=1y+2​=2z−6​, we…

Q: Resuelve esto y el resultado elevarlo a la 2

A: Approach to solving the question:We have to use rules of exponents Detailed explanation: Examples:…

Q: 51. Check that the four points P(2,4,4), Q(3.1,6), R(2,8,0), and S(7,2,1) all lie in a plane. Then…

A: Steps

Q: 5x f(x) = 3x²+4 Draw or add images here н Question Details Done 23. Find an equation for the…

A: To find the derivative of the function (f(x)=3x2+45x​), we'll use the quotient rule, which states…

Q: To test this series for convergence ∞ 2n +4 4n n=1 You could use the Limit Comparison Test,…

A: Step 1: Step 2: Step 3: Step 4:

Q: Given: An = 8n 8n +1 For both of the following answer blanks, decide whether the given sequence or…

A: Step 1 (a) The series  ∑n=1∞​An​  from n = 1 to ∞: Given: An​=(8n)/(8n+1) Rewrite the general term…

Q: By inspecting the graph of the function, find the absolute maximum and absolute minimum on the given…

A: The objective of this question is to find the absolute maximum and minimum values of the function…

Q: Find the area of x²/³ + y²/³ = 1 using a line integral.

A:

Q: I am needing assitance with the problem in the attached image, 5.8.

A: Step 1: Step 2: Step 3: Step 4:

Q: I just need you to answer question g.) using the graph.

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

Q: Find the general solution of y' = 5 (y — 17). y(t) = c. e5t +17 c·e+17 A Note: Use C for the…

A: Solution

Q: Let h(t) = tan t. Find the maximum and minimum values of h on the interval I = [0, π/3]. Then use…

A: The objective of this question is to find the maximum and minimum values of the function h(t) = tan…

Q: find the following for the function given: - Domain and range - Intercepts - Critical Points and…

A: Step 1: Step 2:Step 3:Step 4:Step 5: Intervals of Increase and Decrease:              f(x) is…

Q: Suppose a person wants to travel D miles at a constant speed of (60+x) mi/hr, where x could be…

A: Step 1:Step 2: Step 3:

Q: cos 5 t dt Find the indefinite integral. (Use C for the constant of integration.) sin t ×

A: Step 1:Step 2:

Q: Please help me with these question. SHow all you work. Thank you 1. Prove that∀k ∈ N, 1k + 2k + · ·…

A: The first question is asking us to prove that the sum of the kth powers of the first n natural…

Q: (3 and 4) Explain how to solve these question in detailed steps.

A:

Q: Please help me with this question. I am having trouble understanding what to do. Please show all…

A: The objective of question 3 is to find the largest set of values n for which 2^n < n! and prove…

Q: The graph of the acceleration a(t) of car, measured in ft/s², is shown below. Use Trapezoid rule…

A: We extract following values from graph ixi=a+ih=0+i*1.5f(xi)00011.52231034.512460

Q: Using the attached theorms, Solve dx/dt =2x+3y , dy/dt=6x+5y with initial conditions x(0) = 8, y(0)…

A: The given system of differential equations is a linear homogeneous system and can be written in…

Q: Consider the differentiable function f(x) = ln x-x+8 on the closed interval 1 ≤x≤2.9. What is the…

A: To apply the Mean Value Theorem (MVT), we need to check two conditions:Continuity: The function f(x)…

Q: (a). a² + b² + c² Δ In a AABC, cot A+ cot B+ cotC = 2 +C (b) a + b + c 4A (c) a² + b² + c² (d) a² +…

A: Step 1:

Q: Answer question number 1 on photo.

A: Question 1: Given function y=(​16−(x−5)2+3)The four trapezoids are…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A:

Q: Use the square root method to solve the equation. 3x²=45 A. 22.5 B. 16 C. ±√1 OD. ±15

A:

Q: Use known Maclaurin series and operations on power series to nd Maclaurin series for the following…

A:

Q: Using the attached theorms, Solve dx/dt =10x-20y , dy/dt=8x-18y

A: solution to the given question is like this;first find eigen values and check they are real distinct…

Q: dy 3. By hand, sketch the slope field for = xe where x = [-3, 3] and y = [-—3,3]. dx Then sketch a…

A: i have plotted the graph using a tool please give helpful rating. im sorry i dont have pen and…

Q: Please review the screenshot attached to this request and solve the problem :)

A: Step 1:​(1) f(x,y)=2x2−x4+3y2at(2,3)Using the Power…

Q: I need help on question 5.

A: The objective of this question is to analyze the given parametric equations, find the derivative…

Q: Question 4 The traffic flow rate past a certain point on a highway is q(t) = 3000+ 2000 - 300t² (t…

A: Step 1:In this case, we want to find the number of cars between t = 0 (8 AM) and t = 2 (10 AM), so…

Q: Question 6 Evaluate the following Integrals. (a) |√1-de dr 422 (b) 25 √1+x² dx (c) s sin (1/x) -da…

A: Step 1: Step 2: Step 3: Step 4:

Q: 3 4 33. Determine the vector equation, parametric equations, and, if possible, symmetric equation of…

A:

Q: 1. A Challenge on Implicit Differentiation dy Assuming that y is function of x, calculate for the…

A:

Q: Calculate and simplify the wedge product A. = 3dx1 ^ dx 2 + 9dx₁ / dx4, =-9dx2 dx3 + 5dx3 ^ dx4. ΦΛΕ…

A: f=(3.dx.1Λdx.2+9.dx.1Λdx.4)g=−9.dx2Λdx.3+5dx3Λdx4Now wedge product…

Q: typing

A: In analyzing electrical circuits, particularly three-phase systems, understanding how power is…

Q: Find the parametric equations for the tangent line to the curve defined by r (t) = at the point (1,…

A: Step 1: Step 2: Step 3: Step 4:

Q: Consider the function f(x) = 2x³- 6x² - 48x + 5 on the interval [-6, 7]. Find the average or mean…

A: I rounded off the final answer to three decimal places. But, there is also the exact answer on the…

Q: Evaluate the iterated integral (49-x^2)^1/2 dydx going from 0 to x and from 0 to 7.

A: Step 1:​I=∫07​∫0x​49−x2​dydxUsing the Power…

Q: 1ASC Nom parfait :..... ASC Exercice 5 Ahmed a 26 ans et sa sœur Sana a 8 ans. Après combien…

A: Pour résoudre ce problème, nous pouvons définir x comme le nombre d'années après lesquelles l'âge…