Chapter Four d'y df² and y'(0) = 3. 2. 9. dy 24 +16y=0, dt given y(0) = 3 y =(3-1) e3

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A: Given that     F(x,y,z) = x2i+y2j+z2k ,  We have to evaluate ∫∫sF.dS , where S is the boundary of…

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A: I am attaching image so that you understand each and every step.

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A: Shortest distance between two curves are always along the common normal.

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A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

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Q: P3: Calculate the volume of solid of revolution when the region bounded by y = sin 2x and x²-y-2 = 0…

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Q: Vector A) Prove that: V × (F×G) = (GV)F- (FV)G+ F(VG) - G(V-F). m) Find all of the second…

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A: First I have written some Laplace transform formulas then taking Laplace transform to the given…

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A: I am attaching image so that you understand each and every step.

Q: The doubling time of an investment with continuous compound interest is 12.4 years. If the…

A: Topic:- algebra

Q: A Prove that 1 B) Find all of the second derivatives for f(x, y) = (3xy² + 2xy + x²) In x²+y²…

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Q: Consider the function Step 2 of 3: Find lim f(x). x6+ f(x) = lim f(x) = x→-6+ x² + 12x + 22 19x +…

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Q: Let A, B, C be arbitrary finite sets from the same universal set U. - (a) Is it true that A - B C (A…

A: SOLUTION-

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Q: provide a step by step solution to the following DE (2x+3)y' = y + (2x+3)1/2 when x=-1 and y=0

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Q: Use the Laplace transform to solve the given initial-value problem. y" + y = √2 sin(√2t), y(0) 13,…

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A: Given problem:- Find the area of the surface generated when the given curve is revolved about the…

Q: Can the Squeeze Theorem be used to determine lim f(x) when I(x) ≤ f(x) ≤ u(x) on (7,8) U (8,9) and…

A: In this question, we will see the properties of squeeze Theorem.

Q: use your calculator. 3 -2 7 8 -2 2 - 4 -12 7 0 4 3 4 7 4 7 2 8 7 -2 3

A: det3-2478-2-2047444-247-1237-2874-23Reduced echelon form is,=det…

Q: Find the ordinary interest on a loan of $850 at 11% annually made on February 10 and due May 31

A: Given, P= $850 I=11% T=(May 31) -(Feb 10) =110 days,

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Q: 2log, x-log, y+log, z

A: Follow the procedure given below.

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Q: dr. T About OX -2 2 y=√16-1²

A: I am going to solve the problem by using some simple calculus to get the required result of the…

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A: To find out the integration.

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Q: Evaluate the six trigonometric functions (the unit circle). a) t= 5 corresponds to the point (x, y)…

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Q: Homework Estimate the following definite integrals using the Trapezoidal rule and Simpson's rule.…

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Q: (Q3:- prove the Cose =(A.B/AB Q4:- Find the angle between along diagonal and an adjacent face…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: 2. Evaluate x sin xdr using integration by parts.

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Q: 3x52x³ +5x² - 2 2³ +1 4. ·[3.25 da

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Q: A fruit farmer finds that if she plants 50 trees per acre, each tree will yield 75 boxes of fruit…

A: I am attaching image so that you understand each and every step.

Q: 5. Find the limit, if it exists. If the limit does not exist, explain why. sin x - cos x (a) lim…

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A: Given;  h(x)=f(x)/g(x).

Q: The Taylor series for f(x) = e at a = 3 is cn (x - 3)". n=0 Find the first few coefficients. Co= C1…

A: Given problem:-

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A: Here we will use the substitution method

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A: Area

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Q: find ℒ{f(t)}. (Write your answer as a function of s.) f(t) = (4t − 1)3 ℒ{f(t)} =

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