Five years ago, you entered into a 10-year investment of principal P (in pesos) with simple interest of 4% per annum. Today, your bank announced that it will impose a new interest rate of 4.5% compounded quarterly. If three years from now the value of your investment is 150 .000 pesos find an expression for P and use the expression to anproximate P

Q: Prove that matrix Y is obtained from matrix X. Identify the property of determinants and prove |Y| =…

A: 2. Given  Y=4-984261-25 X=1-3-74261-25 We will prove that matrix Y is obtained from matrix X.

Q: 8. Let S be the surface {(x, y, 2) | a = y? + 22 + 1}. Find every point (ro, yo, zo) on S so that…

A:

Q: Question 9 Line 3 results from a valid application of Material Equivalence to lines 1 and 2. 1. (L…

A: Since you have posted a multiple question according to guildlines I will solve first question(Q9)…

Q: Classify all the critical point(s) of f(x, y) = 22 + 6x? – 3y3 – 150.x. Find maximum and minimum…

A:

Q: A department store opens at 9 am daily. Suppose customers of the store arrive at a steadily…

A: Sol

Q: View S' as the boundary of the 2-disk D² = {(x, y) E R² | x² + y? < 1}. Fix To E S', and let X = (S'…

A: Sol

Q: Is f(x) = x² uniformly continuous on (0,1)? Why or why not?

A:

Q: Assume aggregating the inventory in a single warehouse increases the by $45,000. If a CSL of 95% is…

A:

Q: d'y -2xy 0 dx Show that the power series solution of the above differential equation at x 0, y=1 and…

A:

Q: Let S be the upper half of the unit sphere x +y +=1 and take n as the upper unit normal. Use Stokes'…

A: Stokes theorem is used to find out the integration

Q: space of pölynömials öf degree less Let g1(t) = 1 and g2(t) = t. Find a ba he subspace of P3 spanned…

A:

Q: | (ах с) (2а+b—4c)| (αx b) . c If a = 2i + 3j – 5k,b = 3i + 7j - k and c = 5j – k. Calculate %D

A: Solution

Q: Find the arc length of r = cos? (0/2), 0 s 0 s 2n.

A:

Q: 2.52 Prove that Ca, b] is a vector space.

A:

Q: ) Let F(x, y) = (3x² + y²)i + 2xyj. (a) Test if F is a conservative vector field. (b) If F is…

A:

Q: 1. A man on a wharf, whose hand is 8.2 m above the level of the water surface is pulling a rope tied…

A:

Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: The volume of a solid rotated around the y-axis can be calculated using the "Disk Method" The disk…

Q: 16) Rewrite the integral 10 3(1 – z/10) 7(1 – y/3 – z/10) dx dy dz in the order dz dy dx.

A: We have to rewrite the given integral in the required order.

Q: The figure below open cylindrical can, S, standing on the xy-plane. (S has a bottom and sides, but…

A:

Q: 1.Prove that the product of two consecutive integers is divisible by 2.                   (Use…

A: Product of two consecutive integers is divisible by 2

Q: Classify the quadratic form below. Then make a change of variable, x= Py, that transforms the…

A:

Q: Consider the function defined by f(x, y) = 4x² + y². (a) Find the domain and range of f. (b) Draw a…

A: The given function is f(x,y)=4x2+y2, (a) To find: The domain and range of f. (b) To draw: contour…

Q: 1.) Set up the integral ||[ f (x,y,z)dV using a single triple integral where E is E the solid in the…

A:

Q: Elliptic curve . Calculate 2p y^2=x^3+4x+174 (mod257) p=(29,22)

A:

Q: Question 5. Consider n f (x) = exp (A;t;) i=1 where the A; are real numbers that are either positive…

A:

Q: H.W: Estimate the root of the equation for the following equation using Secant Method: 1. x3 - 5x =…

A:

Q: Solve for the Laplace Transform of f(t) = tsinh 2t a. F(s) = + %3D (s-4) (s+4) b. F(s) = 0-4) %3D…

A:

Q: By using shell method, find the following volume a. y = (x-3)2 and line y = -2x + 6 about x = 6 b.…

A:

Q: -2 SI24 %3.

A:

Q: Use Stokes' Theorem to find the circulation of F = 2yi + 3zj + 7xk around the triangle obtained by…

A: Here we have to solve the given problem using stokes' theorem.

Q: what is the spanning fuzzy subgraph ? And give examples

A: Given : Spanning of fuzzy graph is mentioned in given example. We need to tell that what if fuzzy…

Q: 4 + 10 + 18 + . . . . . + n (n + 3) =  [n (n + 1) (n +5)] / 3  for n ϵ Z+       (Use Mathematical…

A: The solution is given as

Q: Definition 7.1.1 Laplace Transform fit) 1 Complete the integral(s) that defines L{f(t)}. L{f(t)} =…

A:

Q: (1- a? f(x) = 1– x² if x E Q, if r ¢ Q. %3D p at which f is continuous. Prove your conclusion.

A:

Q: a sin(x) -dr. Jr (r² + 1)(x² + 16) R.

A:

Q: 2.60 Prove that fn(x) = - 0 pointwise on R but not uniformly on R. However, prove the convergence is…

A: We have to prove that the given sequence of functions is pointwise convergent on ℝ but not uniformly…

Q: You are considering two job offers: Job 1 is a full-time position that pays $58,000 annually and Job…

A: Concept: Gross income = net income - deductions.

Q: (b) - (1) Verify that the function g: C+C given by 8(2) = 22+1 satisfies the Cauchy-Riemann…

A:

Q: Solve the system of linear equations by graphing Sy=-3z 13x +y = 5 infinite solutions (0, 5) C (1, -…

A:

Q: Determine the 1st and 2nd degree Taylor polynomials L(x, y) and Q(, y) for f(x, y) cos(ry) for (x,…

A: Given function is fx,y=e−x2−y2cosxy. We have to find the first and second degree Taylor polynomial…

Q: Find an equation of the line tangent to the curve r = sin 30 at the point where 0 =

A:

Q: 1. Consider the curve C with parametric equations Sz(t) = t3 – 3t +1 ly(t) = t(t + 1) %3D defined…

A: Horizontal Tangent for Parametric Equations dydt=0, provided dxdt≠0 Vertical tangents will occur…

Q: solve for the laplace transform of f(t) =D {2,t < 플 {-을, 플 <t<ㅠ 6. -e + He i a. 2s 48 2/4 b.

A:

Q: cosh In(-3+ 2j)]

A: The expression of coshx is coshx=ex+e-x2. Break the given hyperbolic function into exponential form.…

Q: 公キW+メ+2 4 V+ 2W+メ+4+2=5 サキ Wt 2X +yキ V +W +X + y + 27 = 8

A:

Q: 4.2 Consider an image with spatial resolution of 1920 by 1080 and intensity resolution of 256. You…

A:

Q: Let R be the region bounded by the functions f(x) =-3x²+3 and g(x) = 3x2 - 3 as shown in the diagram…

A: Given: f(x)=-3x2+3g(x)=3x2-3 Concept: Here the area shall be given by: A=∫abgx-fxdx

Q: 5. Use a trigonometric solution to find the magnitude of the resultant of the following coplanar…

A: We have to find the magnitude of the resultant of given forces.

Q: Q4. (*) Let W be a Brownian motion without drift. Find the distribution for the following limits:…

A:

Q: Use a trigonometric solution to find the magnitude of the resultant of the following coplanar…

A: Solution