The derivative of the [Select] of two functions is the first times the derivative of the second, plus the second times the derivative of the first.

Q: (C) Calculate the limits (1) lim 1-cos(x) (2) lim sin(x) x-0 x X1X x

A:

Q: Given is the graph for the second derivative of some function f(x) which has the domain of (-co, co)…

A: We have given a graph of as shown below:Now use the above description of in the graph, which has…

Q: refer  to  image  below.

A: null basis is ⎣⎢⎢⎢⎡​3100​⎦⎥⎥⎥⎤​Explanation:Step 1:

Q: Find x and x2 -2-4 X1 19 9 -2 3 X2 3 17

A: Given,              To find the values of

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

A: Ans: The real part of f(z) is, rzcos(zθ) and the imaginary part of f(z) is rzsin(zθ).…

Q: Which graphs are bipartite?

A: We have to identify the Bipartite graph.

Q: Provide details/explanations of your solutions,indicate any formulas you are using and clearly show…

A: a) The supply and demand equations are  Qs​​=10P−60 andQd​​=−10P+160b) The market price is $11.c)…

Q: n investment of $10,000 earns interest at an annual rate of 6.7% compounded continuously. Find…

A: Given that an investment of $10,000 earns interest at an annual rate of 6.7%…

Q: f(x) = ln(2⋅ x + 1), x € (1, 3). 1. The Taylor polynomial T2 (x) at the point a = 2 is

A:

Q: Prove that this sequence is / is not Cauchy. Χη xn+1 = axn+b 1 + xn

A: Proof is explained in the explanation section.Explanation:Solution:A sequence xn​ is Cauchy if for…

Q: a Prove that if ged(a, m); 1 and gcd (a-1, m)=1 then 1+a+a² + ... + 1) = 0 (mod m). (Hint: What do…

A:

Q: Find a Particular solution of y″ + y' − 2y = et. -

A: We have to find particular solution of the differential equation.

Q: Convert the following Volterra integral equation into an initial value problem  y(x) =  integral of…

A: Let ϕ(x)=∫a(x)b(x)f(x,t)dtWhere both a(x),b(x) are differentiable functions.Then the derivative…

Q: 1) Let A = {1,2,3,4,5} Determine whether the statements are true or false. a. 2ЄA b. A is a subset…

A: A = {1, 2, 3, 4, 5}a. 2  A   This means 2 is in the set A.    Obviously this is True. b. A is a…

Q: Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it…

A: Answer:  α=( 1 4 6 5 3 2 )Explanation:Step 1:

Q: 3. Prove that 6">5"+9 for any integer n ≥2.

A: To prove that 6n>5n+9 for any integer n≥2, it will use induction.Basis Step:First, will verify…

Q: Suppose f(x,y) = (x-y)(9-zy). Answer the following. Each answer should be a list of points (a, b, c)…

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Q: Use the Chain Rule to find the indicated partial derivatives. z = x² + x²y, Əz az az as at au x = s…

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Q: . Evaluate the surface integral JSF dS where F = (5x, 3z, -3y) and S is the part of the sphere x²+…

A:

Q: Question The speed, V (km/h), of a car at time t (seconds) is given by. where 0 ≤t ≤ 150. 75 + 30sin…

A: I can answer only one question according to Q&A guidelines. So I answered part (a).

Q: CEXPEAVI 解決 SOLVE STEP BY STEP IN DIGITAL FORMAT 1. Find the transform of Laplace L{cos²(t)}.

A: Given that L(cos2(t)).We know that cos2⁡(t)=1/2[1+cos(2t)]Also we know that L(1)=1/s…

Q: Let f: RR, f(x) = -2x+5 and g: RR, g(x) = − x Find (gof) -¹(x) (select the correct answer) ○ x+5 2…

A:

Q: A clothing distributor in Ajax, Ontario sells a designer suit for $1,505 less a discount of 35.00%.…

A: (a) Ajax seller(b) 10.83%Explanation:Note that the discounted price is,SP=LP(1−d)where,SP = selling…

Q: Prove the second part of each law: AU (BNC) (AUB) (AUC) Distributive laws An (BUC) = (ANB) U (ANC)…

A:

Q: Principle: $2,800.00 Interest Rate: 5% Date Borrowed: 4/9/2024 Date Repaid: 5/28/2024 Days…

A:

Q: (1) Define the function f : RR by f(x) at a = 1. 2 X x2 x <1 x≥1° Show that f is continuous

A: অতএব, f a=1 এ অবিচ্ছিন্ন।Explanation:

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: Both part (a.) and (b.) please.

A: Refer the below solution for given question, if any doubt please comment Explanation:Solution…

Q: Crop nd the average rate of change on the given interval. 63 10 5 0 3 -2 4 12 4 -7 5 7. 0≤x≤12 8.…

A: As per our company's guidelines we are supposed to answer only ist question.kindly repost other in…

Q: The eigenvalues of the coefficient matrix can be found by inspection or factoring. Apply the…

A:

Q: v. Σn=3 1 n=3 ln(ln(n))

A: Using comparison test e have to determine whether the series  is convergent or divergent.

Q: Find the exact value of x² dx Find the error of approximation between the exact value and the value…

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Q: Problem 2-32 (Algo) Required: Find the after-tax return to a corporation that buys a share of…

A: To calculate the after-tax return for the corporation, we need to consider both the capital…

Q: (Feb 21—27) Projected Actual Difference Food Cost $6,971 $7,842 +$871 (over)…

A: The objective of the question is to determine the adjustments that need to be made to the Food and…

Q: Needs Correct and complete explanation.     Don't use chat gpt or  ai i definitely upvote you

A: The objective of the question is to find a unique solution to the 1-D heat diffusion equation for a…

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: ou are thinking of making your home more energy efficient by replacing some of the light bulbs with…

A: Explanation- Let us assume that,The total number of compact fluorescent light bulbs purchased = xThe…

Q: 2) a) A table of values of a function g is given. Use Simpson's Rule to estimate f₁1.6 g(x)dx. x…

A:

Q: Provide details/explanations of your solutions,indicate any formulas you are using and clearly show…

A: Production and supply is directly related to cost and profit as a percentage of cost.  Demand is…

Q: (Feb 21—27) Projected Actual Difference Food Cost $6,971 $7,842 +$871 (over)…

A: The objective of the question is to determine the adjustments that need to be made to the Food and…

Q: (a) Let f(x) = 2 sin x. Write down the Taylor polynomial approximation of degree 2, p2(x), for the…

A:

Q: Find the inverse Laplace transform f (t) = L¯¹{F(s)}. 3 2s a. F(s): = - b. F(s): = 2s-5 s²-4s+13…

A: ​(a) L−1{F(s)}=23​e25t​−(34sin(3t)​+2cos(3t))e2t​​(b)L−1{F(s)}=−e−2t+tet+2et​Explanation:Step 1: a.…

Q: Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it…

A: Question is solved below Explanation:(i) To determine if (R,τ0​) is a Hausdorff space, we need to…

Q: Q1\ Answer (A) If y = sec(x), prove that y" + y = 2 y³ lo

A:

Q: 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)…

A: The value of dw/dt is:dtdw​=−77cos4(t)+45cos2(t)−497(11sin(t)cos3(t)−7tan(t))​Explanation:Let's…

Q: Study the maximum and minimum points of the function f defined below

A: Given Differentiating partially,

Q: tions. Find the General solution of y" - 2y' + 5y = 4tet with Real valued func-

A: We have to find the general solution of the differential equation.

Q: Find a basis for the plane x-2y+3z = 0 in R³. Then find a basis for the intersection of that plane…

A: Given equation of the plane We have to find the basis of the plane in .Then calculate the basis of…

Q: Verify that each of the sets {1,3,7,9,11,13,17,19}, {1,3,7,9}, {1,9,13,17} forms a group under…

A: We can verify if each set forms a group under multiplication modulo 20 by checking the following…

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