find the Langth of the are Ve Siesinzo from to o-52

Q: Let y = tan find the differential dy of the function.

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Q: L(sin 2t cos 2t)

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Q: 4. csc 2x cx

A: The integration of the integral is csc52x.

Q: le +e-x dx 10.

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Q: 6. Evaluate the following: (ey)dy dx 0. A. e-1 e-1 C. 2e +7 2. D. e?

A: Given: I=∫01∫0y3exydydx   As we know the basic integral formula; ∫eax+bdx=1aeax+b+C

Q: Suppose f(x, y) = x2 + y? where x = r cos 0 and y = r sin 0. Find and whenr = 1, 6 -: = 1, 0 =

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Q: : Find f(t) ( Inverse Laplace Transform )of the following functions s+1 1. F(s) 2.F(s) (s +2)+n?n2…

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Q: Entered Answer Preview Result 1 1 incorrect The answer above is NOT correct. 1.8 -2 1,0 18 The slope…

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Q: 7. Particular solution of (D³ + 12 D2 + 36 D)y = 0, when x = 0, y = 0, y' = 1, y" = -7

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Q: The volume generated when the region bounded by y = x , y = 1, x = 0 is rotated about x - axis is…

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Q: Find the radius of convergence and interval of convergence of the series. (r+8)" R = I = ?v

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Q: X+ 0.4Inx 04. limx→+o X+ 3lnx 05. lim, „(e* – 1)cosx e' – 1)cos> COSX 'x→0

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Q: Solution: Here * = Sin x The graph is Ine Shadded negion find i The required of we have to the area…

A: Let's find  area of given curves y=e^x from x=0 to x=1.

Q: 10) (-1

A: lets we take example 9 and 10   9 (-2) -3/2 here in 3/2 so we have to also make 2 in whole term…

Q: 1) Find the radius of convergence and interval of convergence of the series. Show All Your Work.…

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Q: x dx 1o. 8 x-X

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Q: Assignment On Integral of Exponential & Logarit Determine the integral of the ff. functions. 1. S -…

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Q: Problems for Accumulation: 2. Accumulate P20,000 for 3 years at 7% simple interest.

A: A detailed solution is given below.

Q: Consider the following initial-value problem. f'(x) = 6x2 – 8x, f(3) = 21 Integrate the function…

A: Given: f'x=6x2-8x, f3=21   As we know the Power rule: ∫xndx=xn+1n+1+C

Q: Consider the function. f(x) = x? - 2 (a) Find the inverse function of f.

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Q: 7. Evaluate the following. 2 erty? + 29)dy dz A. 30 5.4 B. C. 2.3 D. 4.9

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Q: Find the first derivative of y = (x – 1) √ (2x – x2) + arcsin (x – 1) and y = arctan [ (3 sin x) /…

A: y=(x – 1)(2x – x2)   +sin-1(x – 1) y'(x)=d(x – 1)2x – x2   +sin-1(x – 1)dx        =d(x – 1)2x – x2…

Q: Find S(-3e-3t + Vt)dt

A: Basic integration formulas are used. I have stated the used formulas in the solution.

Q: When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are…

A: Let's find rate of the increasing the  volume.

Q: cx+ln x Determine the equation of the tangent line to the graph of f(x) cosh (V2t – 1) dt at x = 1.

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Q: Find the dy/dx: Given e(x²-1) y =

A: Solution is done in step 2

Q: The matrix given is in reduced echelon form: 1  0  5  -2 0  1  4   1 0  0  0   0  Write the…

A: To write the matrix equations.

Q: x² – 2x – 1 dx (x – 1)2(x² + 1)

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Q: Homogeneou dinan Equati on Oblain the differemtial equation 1. y= 7-2x + e

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Q: Consider the R 2 − R function defined by f(x, y) = 3x + 2y. Prove from first principles that lim…

A: Given function F(x,y)=3x+2y Take path  Y=-x  X→1 then y→-1 Then function F(x)= 3x-2x=x

Q: For the first 10 days in December a plant cell grew in such a way that t days after December 1 the…

A: use derivative  to evaluate the volume

Q: The volume for solid of revolution between the curves y = v(49- x^2) and y = 0 around the x - axis…

A: Let's find volume of solid of given curves.

Q: Supply the missing integrand and the limits of integration - 2sin 0 r cos?0 dr d0 = _d®

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Q: Q1: Find The Fourier series for the function defined by 0 <x < 41 -4 <x< 0J f(x) = {* - %

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Q: The volume, when the curve y=v(3+ x^2 ) from x = 0 to x = 4 is rotated about x - axis is 100n 100/9…

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Q: •4 (ii) 2y dy dx.

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Q: 5. Solve the equation: (D² – 3D + 2) y = 2r² + 1 O y = cje* + c2e²« + 4x + 3x² + x³ O y = cje" +…

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Q: (Wh(2 - h)dh

A: To evaluate: ∫(h(2−h)dh Let I= ∫2h12−h32dh

Q: dy – e3x+2y . Find the general solution of dx

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Q: 1. Find the area bounded by the curves y?=2ax, y²=4ax-a? 2. By integration, show that the area of a…

A: As you have asked multiple questions so I have answered first question as per the guidelines

Q: Problems for Accumulation: 1. A businessman borrows P4,200 for 3 years at 5 1/2 % simple interest.…

A: To find out the amount that the business owner must repay.

Q: 17. If you know f(0) = 625 and f (4) = 16 then: %3D %3D (a) Find a formula for f(x) assuming that it…

A: 17.A function satisfies that f0=625 and f4=16

Q: Find the inverse laplace transform of the function

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Q: TE THE FOLLOWING (x5- 2x3-2x)dx x²+ 10

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Q: V. Determine all the relative minimum and maximum values, and saddle points of the function h…

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Q: 9. State whether each of the following functions is convex, concave, or neither. (a) fo -e (b) f) -e…

A: Note- as per our guidelines we have to answer only first three parts if multiple parts are posted in…

Q: 2. Find the equation of the normal line to the graph of y = x(1+ In x) at x = e. Write your answer…

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Q: Use calculus to sketch the graph of the given function. (a) f(x) = 3x* – 4x³

A: Given function: fx=3x4-4x3

Q: 1) и %3D Зх?у + xӀпу? — Inxy

A: 1.

Q: n² 2n-1 (-5)" n=]

A: Note :- These are multiple questions and according to our company guideline we can do maximum 1…