person planning for her retirement arranges to make continuous deposits into a savings account at the rate of $3400 per year. The savings account earns 4% interest compounded continuously a) Set up a differential equation that is satisfied by f(1), the amount of money in the account at time t. ) Solve the differential equation in part (a), assuming that f(0) = 0, and determine how much money will be in the account at the end of 16 years.

Q: 4. Use Laplace Transforms to solve the following initial value problem (IVP): 1, 0<t< —1, л<t < 2л…

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Q: Evaluate the triple integral | zdV, where E is bounded by the cylinder y? + z? = 16 and the planes E…

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A: Given ,point : P1, 4, 5and plane : 2x+4y + z = 0 We know that equation of the plane parallel to…

Q: Q5) Find volume of body bounded by z = 0 from below and z = 4 - y from above inside y = x? ,y = 4.

A: Volume of the solid (V) =∫∫∫dxdydxGiven solid bounded by z=0, z=4-x, x=y2 and x=4 Limits of…

Q: For each problem, use a left-hand Riemann sum to approximate the integral based off of the values in…

A: We can solve this using formula of left Riemann sum

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Q: Use the vectorized Euler method with h = 0.25 to find an approximation for the solution to the given…

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Q: Question 2! value problem Solve the boundary y" – 16y' + 64y = 0, y(0) = 1, y(1) = 0 %3D %3D

A: The solution is given as

Q: A continuous random variable X has the distribution function F(x) = 0 if x 3 The value of k is

A: Given distribution function is  F(x) = 0ifx&lt;1k(x-1)4if1&lt;x&lt;31ifx&gt;3

Q: 6. Find the temperature distribution in an infinite bar with c= 1 and initial temperature 4 f (x) =…

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Q: Q4) Find plane area inside the polar function r = 2 and outside polar function r = 2 sin ( + 0) in…

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Q: Q1) Evaluate the integral S dx dy using polar coordinate y 2-y

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Q: Problem 5 Solve Cauchy Euler equation r'y" +ry -y =r'e

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Q: What is the chromatic number of the graph K33, the graph with 33 vertices each connected to each…

A: We have graph K33 with 33 vertices connected to each other. So, we have a complete graph K33

Q: Q1/ Estimate f (1.72) from the given data using Newton's Backward Difference Formula: 1.7 1.8 1.9 2…

A: Given: x f(x) 1.7 0.397 1.8 0.339 1.9 0.282 2 0.224 To find: f(1.72) from the given…

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Q: Continue the two sequences of numbers below and find an equation to each of the sequences 1 2 3 4 5…

A: 1. In first. 1+1=2 2+3=5 5+4=9 9+5=14 14+6=20 20+7=27 Hence the eqution is  an=an-1+n

Q: Q1) Evaluate the integral Sdy dx using polar coordinate

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Q: Instructions: • Write the GIVEN with their respective symbols and units. • Do not skip the…

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Q: Example 1.2 (i) Determine if the following series converge or diverge. a) k+3 (-1)*-1 k k(k+1) k-1…

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: How Fnd the Goneral soluhomfor dhe following %3D

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Q: 7. D is bounded by the surface (r2 + y² + z²)² = a²(x² + y² – 22). %3D

A: We have to find volume where D is bounded by the surface (x² + y² + z²)² = a²(x² + y² — z²).

Q: Find T(t) and N(t) at the given point. x = e' cos t, y = e' sin t, z = e*; t = 0 T(0) = N(0)

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Q: Given 4x –9y =1. Find by implicit differentiation. dx

A: Given equation is 4x2 - 9y2 = 1

Q: mplex numbers are 5 + 5/3i) and z2

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Q: Solve the equation Ax = b by using the LU factorization given for A. 4 -4 4 1 0 0 4 - 4 4 - 4 A = –…

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Q: Q5) Find volume of body bounded by z2 + y2 + x2 = 9.

A: Given equation is x2 + y2 + z2 = 9

Q: For each natural aumber a, the sum 1(2) + 2(3) ++ R(n + 1) is equal ta None of the choices This…

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Q: Problem: Chris left his home at past 3 o'clock PM as indicated in his wall clock. Between two to…

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Q: Let the characteristic equation of a 3 X 3 Matrix A be X3 + ad² + 47) – eigenvalue of A is 4 and a…

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Q: How many times did the ride run during that hour?  What was the highest rider count?  What was the…

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Q: Find volume of body bounded by z 0 from below and z 4- y from above inside y = x ,y = 4.

A: We have to find volume of region.

Q: Solve the equation Ax = b by using the LU factorization given for A. 4 - 4 4 1 0 0 4 - 4 4 - 4 A = -…

A: Let us consider the system of equation in matrix form Ax=b To solve the system of equation using LU…

Q: Let V = R?. For (u1, u2), (v1, v2) e V and a e R define vector addition by (u1, u2) # (v1, v2) :=…

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Q: Q Use Newton methad to find f(s), f'ca) 9. 8. to 8. 10

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Q: dges does a graph have if it has vertices of

A: Introduction: A graph is a structure consisting of a collection of objects, some of which are…

Q: Donio, Nidilyn (Faculty) 3:29 PM 4. 89 is decreased by 12% Donio, Nidilyn (Faculty) 3:30 PM 5. How…

A: 4. Decrease 89 by 12%. This means we have to find 88% of 89, Hence, 88100×89=78.32

Q: Solve the following IVPS using LT method. y' – 4y = 8u(t – 3), y(0) = 2;

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Q: (1) (2x – 3)* dx (2) 1 dx 0 *+5

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Q: Q4/ solve the equation by Newton -Raphson Method: F(x) = x* - 5x³ + 65 , start at x =2 , accuracy…

A: Follow the python script.

Q: Question 6 The tangent to the curve y = 1/x intersects the r-axis at (v2,0). What is its…

A: Solution

Q: 1 |9 4|15 7 I| 8 78 63 5 17 4 | 3 5 |7 6 9 8 5 | 7 |9| 3| |1 4 7 4 5 6. 1 1953 4 2

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Q: Fine the 17th,19th and 21st terms of the Fibonacci sequence using this formula fn=fn-1+fn-2

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Q: Q18: Select the incorrect step while evaluating J x2-7x+10 dx. x-8 I: Let I = S- dx = S dx - S dx…

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