Use the Chain Rule to find dw/dt. W = In (√√ x² + y² + z² x = 2 sin(t), y = 9 cos(t), z = 7 7 tan(t) dw dt 14 (11 sin(t) cos³ (t) – 7 tan (1)) 4 -77 cos¹² (t) + 45 cos² (t) – 49 Need Help? Read It

Q: x²y" — x(x+2)y' + (x + 2)y = 0.

A: The ODE is given asTo answer for each part from a) to d).

Q: Student question Explain why 2^2*4^2*6 ^ 2 is not a prime factorization and find the prime…

A: The objective of this question is to understand why 2^2 * 4^2 * 6^2 is not a prime factorization and…

Q: paved walkway around a garden has an outer diameter of 80 ft and an inner diameter of 40 ft. A…

A: The objective of this question is to find the area of the paved walkway around a garden. The walkway…

Q: Consider a continuous function f : B₁ (0) → R with B₁ (0) CR². The function is C¹ on the interior of…

A: A function has critical points when it's derivatives at one of points in domain is zero.Since f here…

Q: Find the exact length of the curve. y = 1-ex 0 ≤ X ≤7

A:

Q: 2. Consider the region S bounded by the curves 1 1 y=x+ and y=x-for x≥1 x x" a. Is the area of S…

A: Given, Both the curves have the same asymptotes .The region  bounded by the curves will be

Q: 1. Determine if each set is linearly independent (in the natural vector space). a) {

A:

Q: 2) For x 0 solve the Euler equations a) 2" b) x²y" xy + y = x 5/² e³. --

A: The differential equation is :The aim is to solve the differential equation

Q: Min Z=12x + 184 St (subject to) x+2y=1 x+y=2 X+ 3y 23 Solue using big-m method. Min w 1a + 2 b + 3c…

A: Primal is x+2y≥1x+y≥2x+3y≥3subject tox+2y≥1x+y≥2x+3y≥3and x,y≥0;In primal, There are 2 variables and…

Q: branch offices to the computer at its main office using special phone lines with telecommunications…

A: ANSWER 1 :The problem fits network in a way that the management wishes to determine which pairs of…

Q: Need help with these two Intro to Elementary Number Theory Homework problems.

A: The simplified expressions for the herbal logarithm operations are as follows: 1. For ln(d^287 +…

Q: (2) Solve the difference equation Yn+1Yn + Yn+1 + 7yn + 16 = 0, with the initial condition Y1 = -7.

A: the solution to the given difference equation with the initial condition Y1=−7…

Q: D B E A G F Q Determine whether the graph is Eulerian or not. O The graph is not Eulerian. ○ The…

A:

Q: 1. Solve the following linear programmne using the 2-phase simplex algorithm. You should give the…

A: Given:The given LPP problem ismaximize  subject to

Q: 6.) Prove the following identities involving the hyperbolic trigonometric functions. cosh (21+22) =…

A: Please see the attachment Explanation:

Q: Find a recurrence relation satisfied by the sequence an = 3n-2n where n = Z+ a) The recurrence…

A:

Q: Consider the function f(x, y) = 2x² - y²+4x+6y subject to x + 2y = 20 a) Write down the first order…

A: Consider the function  subject to .Let .To find the extreme points of the function  subject to the…

Q: Solve the logarithmic equation. log 3x= -4

A: Given: We have to solve the given logarithmic equation.

Q: 1- Let f:X-Y and g:Y-Z are two mappings such that gof: X→ Z is bijective. Show that is one-to-one…

A:

Q: Bradley contributed $900 at the end of every 3 months into an RRSP fund earning 3.77% compounded…

A: The future value of the fund at the end of 8 years is approximately $1,283.80.The amount of interest…

Q: Exercise 5.- Calculate the mean value of the function f(x)=2(x-1)³ - 5(x − 1)² +6 in the interval al…

A:

Q: Simplify the logarithmic expression: 2-3 log4 p-log4 (d² - w) + hlog4y

A: Given expression: We have to simplify the given expression.

Q: T T T F F T Complete the truth table for the following proposition (db)<-((b~)<-d) (d<-…

A: We have to complete the given table .

Q: What is the row rank of this matrix? 2 -1 3 1 2 15 4

A:

Q: Find the instantaneous rate of change in the amount in the account at the time the amount is equal…

A:

Q: Assume the following information: Milling Department Cost of beginning work in process inventory…

A: Given information:Beginning Work in Process (WIP) Inventory Costs:Materials: $10,000Conversion:…

Q: In Problems 15–28  find the general solution of the given higher- order differential equation.…

A: find the general solution of the given higher- order differential equation. y'''' +y'''+y''=0.

Q: 3 π Find the area inside the curve defined by r = 2+2 sin (60). K|2 2 3 +m/~ 5 π Зл | 7π 4

A: Given, a polar equation: It is required to find the area enclosed by the curve defined by the given…

Q: Complex Analysis: Find the principal value of f(z) = z^z and then find the real and imaginary parts…

A: Final answer: f(z)=exln(r)×e−yθ×cos(xθ+yln(r))+i×exln(r)×e−yθ×sin(xθ+yln(r))This expression…

Q: Let G = Sn. Assume that H is a subgroup of G, that H contains atleast one odd permutation, and that…

A: I have provided a detailed answer in the Explanation section.Explanation:This is a fascinating…

Q: 5. Use the definition of the limit of a sequence to establish the following limits. n (a) lim n²+1…

A: According to the guidelines I am going to solve the first three subparts of the problem, please post…

Q: 10.2.5. Let G be a group, let N < G, and let H ≤ G. Draw a partial lattice diagram that includes G,…

A: FINAL ANSWER:  (H∩N)is a normal subgroup of (H).  Thank YouExplanation:STEP−1 To show that (H∩N) is…

Q: Robot Company franchises combination gas and car wash stations throughout the United States. Robot…

A: Given:Unit I: Washes cars at a rate of one every five minutes, lease cost $12 per day.Unit II:…

Q: (a) Show that a differentiable function f decreases most rapidly at x in the direction opposite the…

A: (a) The function f decreases most rapidly at point x in the direction opposite to the gradient…

Q: Refresh Your Math & Graphing Skills Jack Hardware sold 6 pounds of bolts yesterday at a price of…

A:

Q: (b) Consider the vector valued function r = (1 - t)i + (1 - t)i+ (1-t)k, 0≤t≤1. What curve does…

A: Given, the vector-valued function which represents a parametric equation in three-dimensional…

Q: Given a graph G = (V,E) its complement G is defined to be (V,E) where E = V{2} \ E. That is: a graph…

A:

Q: Let T:R3 -> -11-1 95 R³ be multiplication by 2 10-17 6 1 -1 1. The kernel of T is a line through the…

A: 1.⎣⎢⎡​51​−51​1​⎦⎥⎤​2. 7x+y−3z=0Explanation:

Q: Denote by Zm = {[0]m [1]m,..., [m - 1]m} the ring of integers modulo m. Consider the rings R = Z24…

A: Hi! Please refer to the attachment. Thank you!Explanation:

Q: f(x, y) = x(1+y) and D be the rectangle determined by the inequalities-15x S1 and 2 Sy≤4. Choose a…

A:

Q: Let ā = (−1, 1, 3) and 6 = (0, -4, k). a Find k so that a and b will be orthogonal. k =

A: k=34​Explanation:   Two vectors are orthogonal if their dot product is zero.   Therefore, k=34​   (…

Q: 3) Consider the ODE y"" — 3y″ +4y' – 2y = (x + 1)eª. - (a) Find the general solution to the ODE. (b)…

A: Firstly we find complementary function and then particular integral to solve given ordinary…

Q: Please show Mathematica code and output

A: Let's tackle this question step by step, starting with part a.Part a)We are given the Joukowsky…

Q: Mickey Rats claims that the particular to solution to the following differential e a > 0 y" + ay = 8…

A: The differential equation is :The aim is to tell whether the particular solution of the differential…

Q: A force of 15 Newtons stretches a spring 20 centimeters. After a 3 kilogram mass is attached to the…

A: a. Equation of MotionSpring Constant (k): Hooke's law tells us F = kx, where F is the force, k is…

Q: How many positive integers n less than or equal to 11,347 satisfy d(n) 1 (mod 2)?

A: We need to find a number of positive integers n≤11347 such that d(n)≡1(mod 2) i.e., , k∈Z.So, we…

Q: Identify any points at which the Folium of Descartes x = your answer to two decimal places, if…

A: The parametrization is given as.To find the point on the curve where it is not smooth.

Q: For general w with w 0 find the general solution of the ODES a) y" | w²y 0 b) y" w²y = cos(x)…

A:

Q: Please solve and show all work.

A: The matrix [A​I​] is ⎣⎢⎡​12−2​01−4​3−3−3​∣∣∣​100​010​001​⎦⎥⎤​.  The inverse of the given matrix is…

Q: 7. Given f(x)=√√x² + 3, determine p(x), q(x), and r(x) such that f(x) = p(q(r(x))).

A: Given that .We have to determine  and  such that .