5. Find the amount due on P 40, 000 in 4 years and 4 moths a. 10 % % converted semi-annually b. 11% converted quarterly 179 converted annually

Q: dy Use Picard's method to solve dx -xy, y (0) = 1 Find y3(1)?

A: Given :dydx=-xy =f(x,y)y(0)=1

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A:

Q: 6. Let A = {x € R | x² = 64 }. Then, |P(A)| = 16. 7. Let D = {x € Q|x² = 5 }. Then, D is singleton.…

A: This is a problem related to set theory. Based on the general formula and concept we will answer the…

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A: A detailed solution is given below.

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A:

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A:

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A: Given query is to find the value of the integral.

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A: the given problem is solved below in detail.

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A: To find out the integration.

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A:

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A:

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A: Given;  Radius=9cm dr/dt=0.4 cm/min

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

A:

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A:

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A: Let's find partial derivative of given function.

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

A:

Q: end of 35 years and 9 months, if the interest raté is 6% compounded quarterly. 4. Accumulate P 1,100…

A: Given problem:- Accumulate P 1,100 at 8% compounded monthly for 25 years and 5 months.

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A: Answer :- We have to write T if the given statement is true with respect to the underlined term ,…

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

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A:

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A:

Q: B. Direction. Find a counterexample for each of the following statements. Show your solution. Write…

A: Solve it

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A:

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A:

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A:

Q: C. Find y" for the following functions a. y-3y-x = 0 b. x + 4y2 = 12 C xy COs y

A:

Q: steel

A: Please refer to the image below

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A:

Q: 4. S cotx csc'x dx

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

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A:

Q: Evaluate the following integrals. 1.) Sdv csc 3v 2.) S cot 9x dx

A: ∫5csc(3v)dvSubstitute u=3v→dudv=3→dv=13du=∫53csc(u)du=53∫sin(u)duWe know that…

Q: 3. Jy

A:

Q: Using Wallis formula, find the integral of the expression. Answer in fraction form, no units, no…

A: Follow the procedure given below.

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

Q: 34 Find the measures of both angles a and b in the 41 following figure:

A:

Q: 3. (a) Calculate sinh (log(5) – log(4)) exactly, i.e. without using a calculator. Answer:

A: Solution is given below:

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A:

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A:

Q: -2 2 7e" + dy -5

A:

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A:

Q: A company selling widgets has found that the number of items sold z depends upon the price p at…

A: A company selling widgets has found that the number of items sold x depends upon the price p at…

Q: 1) Find the Taylor series for f(x) = ln x centered at 3. Show All Your Work.

A:

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: 8. If y = (x³ + 2x²)e2* determine an expansion for y(5). [y(5) = e2*2*(2x³ + 19x² + 50x + 35)]

A:

Q: Find the distance from the point (3, 5, 1) to the line æ = = 0, y = 5 + 2t, z = 1+ 3t.

A: Given line x=0, y=5+2t, z=1+3t Therefore line passing through the point (0,5,1) and direction ratio…

Q: What is the definite integral representing the area of the given region below? A. A= (1,1) В. А-D…

A: Area of a region bounded by two curves y=f(x) and y=g(x) is given by, A=∫ab |f(x)-g(x)|dx where a,b…

Q: An inner city revitalization zone is a rectangle that is twice as long as it is wide. The width of…

A: Let the width of rectangular region be ' w '

Q: 2x° dx x2-4

A: ∫2x3x2-4dxSubstitute u=x2-4→dudx=2x→dx=12xdu=12∫u+4udu=4∫1udu+∫1du

Q: g³ + x² + 2x+1 d.x (x² + 1)(x² + 2)

A: Explanation of the answer is as follows

Q: 4. J 5 5. S 12 7 in 3x dx 6. S (10 x - 40) dx x 2 - 8 x + 15 8. S

A: