Use logarithmic differentiation to find the derivative of y with respect to the given independent variable. y= 91+1 dy dt

Q: (14 points) Let S = {(x, y, z) | z = e−(x²+y²), x² + y² ≤ 1}. The surface is the graph of ze(+2)…

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Q: A factorization A = PDP 1 is not unique. For A= 7 2 -4 1 1 1 5 0 2 1 one factorization is P = D= and…

A: Given A=PDP−1 with:   P=[1−1​1−2​] D=[50​03​]Because the columns of P are eigenvectors corresponding…

Q: solve this question, step by step, quick

A: Step 1:This problem involves a second-order linear differential equation that models a damped…

Q: A Content MindTap - Cengage Learning × Function Evaluations * + c/nb/ui/evo/index.html?elSBN…

A: Step 1:   Step 2: Step 3: Step 4:

Q: Apply the Chain Rule

A: ## SINCE THERE IS NO QUESTION SPECIFICALLY MENTIONED I AM ANSWERING ALL ABOUT THE CHAIN RULE IF YOU…

Q: Find and classify the critical points of z = (x² – 8x) (y² – 6y). Local maximums: Local minimums:…

A: STEP 1 ​​ STEP 2 ​​ STEP 3 ​​  STEP 4 ​​  STEP 5 ​​  Conclusion​​

Q: 16. The appropriate form for the particular solution yp(x) of y^(3) − y′′ − 2y′ = x^2 + e^2x isA.…

A: Step 1:

Q: 18. Using the method of variation of parameter, a particular solution to y′′ + 16y = 4 sec(4t)…

A: Step 1:Step 2:Step 3:Step 4:Compare with yp​(t)=u1​(t)cos(4t)+u2​(t)sin(4t)u2​(t)=g(t)=t

Q: pls help

A: Approach to solving the question:Please see attached photos for detailed solutions. Thank you.…

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A: 📌 Detailed Explanation To determine how many times more intense one earthquake is compared to…

Q: i need help with this question i tried by myself and so i am uploadding the question to be quided…

A: Part A: Telescope Series (i) Partial Fractions: First, we need to decompose the fraction 3 / n(n-1)…

Q: K x3 +216 complete the table and use the results to find lim k(x). If k(x) = X+6 X-6 X -6.1 -6.01 -…

A: We have given function, k(x)=x+6x3+216​  Step 1: Simplify the expression, k(x)=x+6(x+6)(x2−6x+36)​…

Q: In the graph to the right, the equation of the parabola is x = (y-3)² 3 and the equation of the line…

A: Given: Parabola: x=3(y−3)2​  Line: y=9−x Goal:Find the area of the shaded region bounded by the…

Q: Explain the key points of 11.3.2

A: Theorem 11.3.2 Iflimn→∞​an​=L and limn→∞​an​=M,  then  L=M. Proof:By definition of the limit of a…

Q: Suppose that one factory inputs its goods from two different plants, A and B, with different costs,…

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Q: Find the effective rate corresponding to the given nominal rate. (Round your answers to three…

A: To find the effective annual rate (EAR) from a nominal annual rate (APR) compounded multiple times a…

Q: Let the region R be the area enclosed by the function f(x) = ln (x) + 2 and g(x) = x. Write an…

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A: We need to solve the third-order differential equation y''' - 3y'' - 9y' - 5y = 0 with the given…

Q: Find the interest earned on $10,000 invested for 6 years at 6% interest compounded as follows. a.…

A: Given:Principal (P): $10,000Time (t): 6 yearsAnnual Interest Rate (r): 6% or 0.06 Compound Interest…

Q: exam review please help!

A: Question 4: Graphing the functionsYou are asked to sketch three functions:(a)f(x)=x4−2x2+3Steps:Find…

Q: Let R be the region bounded by the following curves. Let S be the solid generated when R is revolved…

A: Step 1:Step 2:Step 3: Step 4:

Q: (10 points) Let f(x, y, z) = ze²²+y². Let E = {(x, y, z) | x² + y² ≤ 4,2 ≤ z < 3}. Calculate the…

A: Step 1:Step 2:

Q: Explain why these limits hold in 11.4.1

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Q: quick solve this

A: StepSteStepStStepSteStepS Step 2: Step 3: Step 4:

Q: Find the volume of the solid that is generated when the given region is revolved as described. The…

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

Q: let θ = 17π over 12 Part A: Determine tan θ using the sum formula. Show all necessary work in the…

A: Part A).  tan(1217π​) =tan(45π​+6π​) Using the sum formula, =1−tan(45π​)tan(6π​)tan(45π​)+tan(6π​)​…

Q: 5. Suppose that a mass of 5 stretches a spring 10. The mass is acted on by an external force of…

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Q: ۳/۱ +① العنوان I need a detailed drawing with explanatic Le R2X2 2) slots per pole per phase = 3/31…

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Q: use Cauchy Mean-Value Theorem to derive Corollary 12.6.2, and then derive 12.6.3

A: GivenWe want to derive:Corollary 12.6.2 (Lagrange Form of the Remainder)Rn​(x)=(n+1)!f(n+1)(c)​xn+1,…

Q: pls help!

A: Let's solve the problem step-by-step to find the point of intersection between the…

Q: The graph of f' is below. Use it to determine the intervals where f is increasing. f'(xx) 4- -5 -3…

A: Step 1:

Q: use Corollary 12.6.2 and 12.6.3 to derive 12.6.4,12.6.5, 12.6.6 and 12.6.7

A: Okay so let's use Corollary 12.6.2 and 12.6.3 to derive the four formulas:(12.6.4) General Maclaurin…

Q: + Find the first five non-zero terms of the Taylor series for f(x) = sin(2x) centered at 4π. + + +…

A: We find the first five non-zero terms of the Taylor series for  f(x) = sin(2x) centered at a = 4π as…

Q: 2. Consider the integral √(2x+1)dx (a) Find the Riemann sum for this integral using right endpoints…

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Q: : +0 1 R2X2 العنوان I need a detailed drawing with explanation L L 2) slots per pole per phase =…

A: Series 1: Step-by-step Recheck:   Apply Limit Comparison Test:  Since the limit is finite and…

Q: Explain the key points of 11.3.6 and prove it

A: Monotonic Convergence Theorem Statement:A nondecreasing sequence that is bounded above converges to…

Q: Please solve 14 and 15

A: Problem 14. Vector fieldF(x,y)=⟨2x,  3y⟩.Step 1: Write down the componentsFx​=2x,Fy​=3yStep 2:…

Q: Determine whether the Law of Sines or the Law of Cosines can be used to find another measure of the…

A: Step 1:Step 2:

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Q: Two ships leave a port at 9 a.m. One travels at a bearing of N 53° W at 10 miles per hour, and the…

A: Step 1:Step 2: Step 3: Step 4:

Q: 15. A spring-mass system is governed by the differential equation 2x′′ + 72x = 100 sin(3ωt) .For…

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Q: Pls help asap pls.

A: Answer : ( a )​  Answer : ( b )​For II quadrant :  For IV quadrant :

Q: A boat is sailing due east parallel to the shoreline at a speed of 10 miles per hour. At a given…

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Q: Evaluate the following integrals as they are written

A: ANSWER :​

Q: (10 points) Let S be the upper hemisphere of the unit sphere x² + y²+2² = 1. Let F(x, y, z) = (x, y,…

A: Let's solve the surface integral  ∫S​F⋅dS where: S  is the upper hemisphere of the unit sphere…

Q: Find the values of p for which the series is convergent. P-?- ✓ 00 Σ nº (1 + n10)p n = 1 Need Help?…

A: Part 2: Estimating the Sum(a)Theseriesis∑(1/n⁶)fromn=1to∞.S₁₀=1+1/2⁶+1/3⁶+...+1/10⁶≈1.101734(rounded…

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A: Detailed explanation: Question 8:Given Information:Concentration as a function of population: C(P) =…

Q: Q6. A fossil piece has been found in Alberta that contains 34% of C14 in it. What is the age of this…

A: Detailed explanation:Understanding radiocarbon datingIn archaeology and geology, radiocarbon dating…

Q: i need help please . and please dont use chat gpt i am trying to learn and see the mistake i did…

A: Issue (A): Confirmation of the Trial Function y(x)=xr Given DE:x2y′′+xy′+y=0(x&gt;0)Suppose the…