You save 500 each month by depositing into an account earning 7% monthly. After 15 years you stop making deposits and the account now earns 5% annually. How much money will you have at the end of 30 years?

Q: Prove (2b +1 , 7b + 3)=1

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Q: Iz, where * and C is the cu se. Then the valu

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Q: B. Find the area of the region bounded by the following:

A: Introduction: A polar curve is a shape made with the polar coordinate system. Polar curves are…

Q: 1. Let q-p" be a prime power. Show that X+ 1 is irreducible in F [X] if and only if q=3 mod4. (Hint:…

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Q: 22 Describe how we would prepare the following 22 solutions: (a) 250 mL of a 3.6% w/v solution of…

A: (a) Given  Volume of thesolution to be prepared = 250 mL Concentration of solution in water to be…

Q: luate the integral by making an appropriate change of variables. /| 3(x + y) cos (x? - y²) dA, where…

A: Introduction: The formula for the double integration is given by,…

Q: o integrals are equivalent and (b) calculate 2. | sin(t) dt = sin(x + 1) dx %3!

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Q: Simplify the expression by converting to rational exponents. Assume that all variables represent…

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Q: 2. Solve the differential equation (3x2 – x3 + 3y – 3.xy – y°)dx + 3(x + y²)dy = 0, - by determining…

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Q: Let X be the collection of all functions f : IR→ IR Show that there exists a one-to-one function G:…

A: It is given that X is the collection of all functions f:ℝ→ℝ. Prove that there exists a one-to-one…

Q: y dx — (х + бу?) dy %3D 0

A: Exact differential equation: The equation P (x,y) dx + Q (x,y) dy = 0 is an exact differential…

Q: Using the table

A: Introduction: Chinese Numbering System The Chinese numeration system uses characters to represent…

Q: -4 -11 25 16. Without formally showing that there is a nontrivial linear combination of x-2x, x++x³…

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Q: x = 4+5 sine and y = 1+4 cos e Part 1 of 2 (a) Eliminate the parameter and write an equation in…

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Q: 2. For ba constant, use results of the recursion relation andSr,(7)dr to derive formulas in terms of…

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Q: 2. Solve the differential equation (3x2 – x³ + 3y – 3.ry – y°)d.x + 3(x + y²)dy= 0, - -

A: Disclaimer: Since, you have requested for a handwritten solution and currently we are not providing…

Q: Solve the IVP y" + 4y/ + 5y = 38,(t), y(0) = 0, y'(0) = 1. %3D %3D

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Q: Problem 12.2.7. Let S be an infinite set. Prove that S contains a countably infinite subset.

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Q: 2. Let A:= {1,2,3, 4} =: B and T:= {(a, b) € Ax B | e Z}. (a) Find A x B. (b) Find T (c) Check what…

A: Given: A=1, 2, 3, 4=B and T=a, b∈A×B : a+b+12∈ℤ To find: a) Find A×B b) Find T c) Check what…

Q: sin(x/k) 9. Let f(x) = k k=1 (a) Prove that f(x) is continuous on R. Hint: use a well known…

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Q: A graph w function ir

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Q: 15 F 11 Use Kruskal's Algorithm to find the minimum spanning tree for the weighted graph. Give the…

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Q: Find the area enclosed by one loop of the lemniscate with equation r2 = 49 cos 20 shown in the…

A: To find the area enclosed by one loop of the below polar curve. r2=49cos2θ

Q: In Problems 7-12, solve the matrix games using a geometric linear programming approach. 2 -3] 2] 2…

A: Given that for the (10) problem the matrix is given as 4-6-23 converting above matrix into a…

Q: Z1 = 3 + 4i Z2 = 5 – 31i Z3 = 8+ 2i Reduce to a + bi form 1. z1 + Z2 + Z3 2. Z1 * Z2 Z1 * Z2 Z3 3. –…

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Q: Consider surface S of the cone S : z = 2V2 +y at the point P(1, , V5). (a) Determine the vector…

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Q: 5 (1). Consider the following optimization problem: "It is desired to construct a rectangular box of…

A: For the solution of the problem follow the next step.

Q: Let y = sin(4x). If Ax 0.4 at z 0, use linear approximation to estimate Ay Ay 2 - Find the…

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Q: Problem 12.1.6. Show that each of the following sets countable. (a) {2,3, 4, 5, ...} = {n}2 (b) {0,…

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Q: Calculate the circulation of the field F around the closed curve C. Circulation means line integral…

A: Please check your options.

Q: L {lostt sin ţ t}

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Q: (b) Determine the following Laplace transforms: (i) L{cos² 3t}. (ii) L {cos t sin t}. (iii) L{e'…

A: As per our guidelines we are supposed to solve only one problem. For the solution of the first…

Q: (c) Show that the differential equation æy" - 3y + ry = 0 has a general solution of the form y(x) =…

A: Given differential equation is xy''-3y+xy=0       (1) Let the solution be y=∑n=0∞anxn+m be the…

Q: Consider the following initial-value problem. -1 -2 X' = + X(0) = (:)- Find the eigenvalues of the…

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Q: . Let G1 be the solid enclosed by the xy-plane, yz-plane, and the planes x+ 2y + z = 4, and x – y +…

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Q: Use mathmatical induction to prove that for all intergers n is greater than or equal to 1.…

A: For n = 1,       LHS = 4 [only 1 term]      RHS = 2.12 + 2.1 = 2.1 + 2.1 = 4 Hence, LHS = RHS.  So,…

Q: Let -4 -6 4 6. A = 6. 2 -2 -6 Find an orthonormal basis of the kernel of A.

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Q: divisors

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Q: Consider the surface 2? - y + z? + 2az = 9. (a) Parametrise the surface in terms of two scalar…

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Q: valuate the region S: { S € C 4≤|z|≤8:π/4 ≤ arg(z) ≤ 7π/4} under the mapping f(z)= 3iz^1/2 +1+i

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Q: Find the work done by F over the curve in the direction of increasing t. Work means line integral F…

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Q: son method, find eration, assuming Correct upto 2 deci

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Q: 2. Solve the differential equation (3x? – x³ + 3y – 3.xy – y°)dx + 3(x + y²)dy = 0, - by determining…

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Q: 1 Solve the following integral differential equation y (t) - f (t- B)?Y(8)dB = t, y(0) = -1 Select…

A: Using laplace transform of convolution product f*g. L{f*g}=L{f} L{g}

Q: „ROC: |2| < 1. The Z-Transform of signal x[n - 1)is Let xlz] be the Z-Transform of a sequence x/n)…

A: Introduction: The Z-transform converts a discrete-time signal, which is a sequence of real or…

Q: y=x? , y=x+6 , 2y+2= 0 (1,9) (0, x-intercept : (-6,0) y=0 zy = -2 y= -| A (-6.0) 10,0) y-intercepti…

A: The region is bounded by the curves,y=x3 , y=x+6 , and 2y+2 =0 Finding intercepts,y=x3  (passing…

Q: Consider surface S of the cone S : z= 2 + y at the point P(1, , V5). (a) Determine the vector normal…

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Q: Solve x, y, z, w using Matrix Inversion 3X +5Y+92 =13 54-92+3W =50 = -50 3D13 3W - 2X -5y

A: To solve x, y, z and w using matrix inversion.

Q: If f(x, y) = -x - y* + 3xy - 2x - 5y, then in the process of obtaining its critical points the…

A: Introduction: The critical points of the two variables' function f(x,y) is given by solving the two…