What is the general solution to the differential equation =xy+4x? dx dy_y+4 dx 1-x y=e²-4+C +C y=e2 y=e 4x+c -4

Q: nd the length of the arc, s, on a circle of radius r intercepte Radius, r = 20 inches; Central…

A: The formula on solving for the arc length of a circle is given by s = rθ, where r is the radius and…

Q: Find ther critical point ✗* 2 * of f(x) = 5x1² + 2 x1 x2 - 4x1 x3 +7x2²+5x3 ²+5x1+5x2 +5 x3 − 2…

A: Step 1:To find the critical point x of the function f(x) subject to the constraint g(x), we can use…

Q: 10) The depth of water in a harbor varies with the tides. The depth is measured at the same location…

A: A.B.For this graph the code used is-import numpy as npimport matplotlib.pyplot as plt# Define the…

Q: 3) To estimate the height of a building, two students find the angle of elevation from a point (at…

A: Step 1:Step 2:

Q: QUESTION 5 (3 points) Find dy/dt. y= cos(/10+12) 5 -sin 10+12 5 sin(10t+12) 10t+12 1 sin(10t+12)…

A: Kindly see attached photo for your guidance.

Q: Below is a list of al Consta List Use the following function for problems 6-7 f(x) = 4x³-x4 on the…

A:

Q: Determine the following indefinite integral. Check your work by differentiation. S(+2 5+2 sec ec2r)…

A: Given indefinite integral is ∫(5r4+2sec2r)dr  Simplifying, we get =∫5r4 dr+∫2sec2r dr =5∫r4…

Q: Find LL² (3x+2y)³ dxdy JO

A:

Q: For the regions bounded by y = 6cosx and y= Part A: Find the limits of integration. Part B: Write…

A: Step 1: Step 2:Step 3: Step 4:

Q: 3) (a) Eliminate the parameter of the parametric equation x = 4 sin and y =1+ 2 cos (b) Write…

A: Step 1:Step 2: Step 3: Step 4:

Q: Question 11 > Write an equation (any form) for the quadratic graphed below 5 4 3 2 1 -5-4-3-2 -1 2 3…

A: Here's the task:- Write an equation (in any form) for the quadratic graphed below. Now, what should…

Q: use vectors

A: The objective of this question is to determine whether the given vectors lie on the same plane. In…

Q: QUESTION 3 (5 points) Evaluate the following limit. Use L'Hopital's Rule when it is convenient and…

A: Step 1:​L=x→elim​2e2−2x2ln(x)−1​​Step 2:​ (a) L'Hopital's RuleIf 00​ or ∞∞​…

Q: Consider the function: f(x)=4(-3x² + 12)² + 10 Step 1 of 2: Find the critical values of the…

A: Approach to solving the question:To find the critical values of the functionf(x)=4(−3x2+12)2+10we…

Q: Consider the functional (a) S[11, 12] = [ dr [7y/² + 24yy⁄2 + 21y2² + 4y{ + 12y192+9y²] . two…

A: (a) The Euler-Lagrange equations for the given functional are:For y₁:d/dx(∂L/∂y₁') - ∂L/∂y₁ = 0⇒…

Q: Find the total area bounded by the x-axis and the curve y = f(x) on the indicated interval. f(x) =…

A: Step 1:Given curves are:y=f(x)=x2−2x−15,x-axis i.e., y=0First find the intersection points of the…

Q: Suppose an airline policy states that all baggage must be box-shaped with a sum of length, width,…

A: For us to have an easier understanding of the problem, we will first draw the figure.The airline…

Q: Use the Integral Test to determine whether the infinite series is convergent. n² n=24 (n³ +9) To…

A: Step 1:

Q: Consider the graph and determine the open intervals on which the function is increasing and on which…

A: Given graph of a function is   We know that, The function is increasing, if the graph is going up…

Q: Find the radius of convergence and the interval of convergence of the series. n=1 x" '8n-1

A: Step 1:Step 2: Step 3: Step 4:

Q: C. Use the results from part b to estimate the total sales after 6 months: after 6 months the total…

A: Step 1:Step 2: Step 3: Step 4:

Q: Use the Product Rule or Quotient Rule to find the derivative. g(u) = (7+) (u² + 4² + 5)

A: I hope this can help you.

Q: 1:18 PM Mon May 6 AA Jordi Altamir webassign.net => 0/8 Questions Answered gradescope.com Submit…

A: Step 1: calculate n Step 2:find normal vector Step 3: Step 4:

Q: Can Someone help me with the math question in the picture?

A: The objective of the question is to find the result of the scalar multiplication of a vector. Scalar…

Q: Differentiate the given series expansion of f term-by-term to obtain the corresponding series…

A: Step 1:​Given a power series:f(x)=1+9x1​=n=0∑∞​(−1)n9nxn​Step…

Q: The total cost (in dollars) of manufacturing x auto body frames is C(x) = 60,000 + 200x. (A) Find…

A: (A) To find the average cost per unit when 500 frames are produced, we need to divide the total cost…

Q: 4. Find the area of the shaded region. y = x²+9 y = 2x²

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

Q: QUESTION 8 (7 points) Let f(x)=2x³-3x²-12x-6 a. (3 pts) Find all points on the graph of f at which…

A: Step 1:Step 2: Step 3: Step 4:

Q: It is known that f(-2) = 12, f'(-2) = -9, f"(-2)=-7, f(3)(-2) = 6, and = 9. ƒ(4) (-2) = Find P(x),…

A: The formulas used for expansion…

Q: Given F(x) = calculate the matrix JF 3 [2x1³ x2 x3³×4² [3x1 x2x3* x4 -3 25

A:

Q: 4. Find all the values of the indicated roots a) √4 | b) √√-1-i

A: Step 1:Step 2: Step 3: Step 4:

Q: K A stock analyst plots the price per share of a certain common stock as a function of time and…

A: Step 1: Step 2: Step 3: Step 4:

Q: 12t At the end of t years, the future value of an investment of $10,000 in an account that pays 9%…

A: Given data : Final amount (S) = $ 30000 Rate of interest (r) = 9 % = 0.09 Initial amount (P) = $…

Q: Given that center 6. ∞ 1 x 1 = ∞ x with convergence in (-1, 1), find the power series for n=0 n=0…

A: Step 1:​Given:1−x1​=n=0∑∞​xn with convergence in (−1,1)To find: power series for x1​ with center 6 .…

Q: Determine the eccentricity of the ellipse. Express numbers in simplest form using integers,…

A:

Q: Find the Laplace transform of ƒ (t) = u(t)e" directly from the definition. Do not use the table!…

A: Step 1: Step 2: Step 3: Step 4:

Q: Do only question 8

A: To find the equation of the plane tangent to the surface  f(x,y)=x+yx​ at the point (1, 2), we need…

Q: The series Σ(1)" n2 √√√8+n7 Absolutely Convergent O Conditionally Convergent Divergent Cannot Be…

A:

Q: Given the function below f(x) = 80x³- 16 Find the equation of the tangent line to the graph of the…

A: Step 1: Given function is 380x3−16​The equation of the tangent line to the given function at x=a…

Q: If f(x) f'(x) = ƒ'(5) = = √√x-6 Ꮖ , find: Question Help: ✓ Video Submit Question

A: Step 1: Given functionf(x)=x​+6x​−6​We can differentiate f(x) by u/v…

Q: The winner of a lottery is awarded $2,000,000 to be paid in annual installments of $100,000 for 20…

A: To compute the present value of the installment plan we will discount the annual installment amounts…

Q: A population follows a logistic DDS given by Pn = 1.755pm 1-0.0002p-1 a) Determine the growth rate…

A:

Q: Consider the following matrices: -7 M = -1 (4-2) and (NM) - (34) 2 7 T = 1 a) Find matrix N. b)…

A: Step 1: Step 2: Step 3: Step 4:

Q: Can you write the sum as a product: sin(19.1r) - sin(2.3r) ? Please give simplified decimal values.

A: The objective of the question is to express the given sum of sine functions as a product. This can…

Q: Find the graph given the following table. x f'(x) a b C does not exist 0 -8 Choose the correct graph…

A: Based on the given table, at x = a, the function's derivative does not exist. A function is not…

Q: 1 = Given that 1 X n Σ x" with convergence in (-1, 1), 1 with center 5. x n=0 find the power series…

A:

Q: The purchasing power (real value of money) decreases if inflation is present in the economy. For…

A: The problem is asking us to find the time t it will take for the purchasing power of a $34,000…

Q: 7

A: When looking at a graph, you can identify the intervals where the function is constant by looking…

Q: Given g(x) = 2x² +3. Express S(n) = 1-1 (A) · Evaluate lim S(n) = 11-78 n n as a rational function…

A:

Q: The quadratic Taylor series polynomial approximation at the point (1, 2) to the function f(x,y) 2x +…

A: Step 1:Step 2:Step 3: Step 4: