If P100,000 is invested for 6 months at 1.5% per annum, what is the maturity value? O P100,750 P100,739.73 P739.73 O P750

Q: 2 3. Let A be an invertible matrix such that A-¹ = 0 L-1 213. 010 Solve the system (2A2)x= b, where…

A:

Q: 1. True or False: a). b) Every basis of R³ has 2 vectors The standard basis of P4, polynomials of…

A: a. False. Because standard basis of R^3 will have vectors in the form (1,0,0),(0,1,0),(0,0,1). So…

Q: (e) ze+iz z² + a²

A:

Q: Use Lagrange multipliers to find the minimum distance from the curve or surface to the indicated…

A:

Q: 6. If u = given by x = +2, where x+y+z= 1, prove that the stationary value of u is y b a+b+c' a…

A:

Q: Another model for a growth function for a limited population is given by the Gompertz function,…

A: Given the differential equation is                   dPdt=clnKPP Where 'c' is constant and 'K' is…

Q: 4. Graph the surface 1 = y² + z² by first sketching at least three cross sections in each of the 4…

A: We have to graph the surface 1=y2+z2-x24 by sketching at least three cross-sections in each of the…

Q: Determine the nature of the singularities of each of the following functions and evaluate the…

A:

Q: The substitution y = xv(x) transforms a homogeneous equation into a separable equation. The latter…

A:

Q: If the density of the frame element (shown in the figure) is given as u(x, y) = b + cy where a=9,…

A: Given that  μx,y=b+cy where a=9, b=1.2, c=3.1 and x=acos3t, y=asin3t

Q: (a) Find the radius of convergence of the power series 8 Σ(4" + 5") an. n=1

A:

Q: Solve the following initial value problem: y(t) = = +0.6ty = 6t, y(0) = 1

A: *By Bartleby policy I have to solve only first one as these are all unrelated problems.These are all…

Q: Use the mean-value Theorem to prove 1 1 - < ln(x + 1) − ln x < - X x +1

A: Consider the function f(x)=ln(x) So, f(x) is continuous on 0,∞ and f(x) is differentiable on 0,∞.…

Q: 8-1) Assume that two surfaces to create a curve : 炉 x² + x²-x²3² = -7 are intersectiong 3x₁² + x₂ +…

A: Introduction: In three dimensional Euclidean geometry, the directional derivative of a surface is…

Q: Use Lagrange multipliers to find the indicated extrema of f subject to two constraints, assuming…

A: Given Maximize f(x, y, z) = xyz Constraints: x + y + z = 12,  x - y + z = 8

Q: The height of a rectangular box is increasing at a rate (2m/s) while the volume is decreasing at a…

A: Use the following formulae, to obtain the solution. Volume of the cuboid is given by the formula…

Q: (a) Find the series' radius and interval of convergence. Find the values of x for which the series…

A: Given  ∑n=0∞x-3n7n

Q: 6. Let a = (1, 0,3) and u = (2,-1,5). a.) (5 pts.) Evaluate projau. b.) (5 pts.) Find a vector that…

A:

Q: 4) Find the value of cos(1.74) from the following table oot x y = sin(x) Hint: dy dx 1.7 0.9916…

A: The given problem is to find the value of cos(1.74) by using newton divided difference method from…

Q: Question a) b) Let f(x, y) x²+2y Find the first partial derivatives of f. Determine whether the…

A: Please find the answer in next step

Q: Consider Jackson network 1 as shown in Figure below. The external arrival rate is 25 per hour. The…

A: Given that: External arrival rate=25/hour The probability of returning to the fast station from last…

Q: Find the inverse laplace of ( s + 18 )/( s^2 + s - 6 )

A:

Q: Consider the following initial value problem. Determine the coordinates tm and ym of the maximum…

A: First we'll find the general solution then using initial conditions, we'll get solution containing β…

Q: The price p (in dollars) and the demand x for a particular clock radio are related by the equation x…

A: Given that x=2000-20p. Where p is price of radio and x is demand of the radio. (A)Then  20p= 2000-x…

Q: Convergence can be achieved faster in Newton-Raphson Method. O True O False compared to the Secant

A: Convergence can be achieved faster in Newton Raphson compared to secant? True or False.

Q: Two hunters have set off to get food from the forest. They have two possible games that they can…

A:

Q: The probability that a couple will havenbaby boys in a row is given by the formula the probability…

A:

Q: Determine the nature of the singularities of each of the following functions and evaluate the…

A:

Q: Ethan sold exactly eight TVs this quarter. Frank sold exactly twice as many TVs as Gina. Gabriel…

A: 3. Given are few statements as: (i) Ethan sold exactly eight TVs this quarter. (ii) Frank sold…

Q: f(x, y) = -(x - 7)² In² (y + 4)−(4x + 7y)². a) the function f(x, y). b) Find all the first partial…

A: a) When we do partial differentiation with respect to x, we consider y as constant. Similarly, when…

Q: How much money should you invest now in order to have $9,000 in 4 years if interest is compounded…

A:

Q: The false-position method may have difficulty in finding the root of f(x)=x²- 7.4x + 13.69 = 0…

A: According to false position method if roots lies between x1 and x0 Then next approximation will be…

Q: Let A be an invertible matrix such that A-¹ = NOT 2 0 l-1 213 01 1 Solve the system (2A2)x= b, where…

A:

Q: Determine the inverse Laplace transform of F(s) =+ O le^(-9t)] + [5e^(-4t)] ● (e^(9t)] + [Se^(4t O…

A: We find required inverse Laplace Transform.

Q: SC 1 places. MED WIE Part 1 of 2 BC= 22° Part 2 of 2 # FI 6,474 @ 2 W D 23° (a) Find the lengths of…

A:

Q: The false-position method may have difficulty in finding the root of f(x) = x² − 7.4x + 13.69 0…

A:

Q: Write an equation for the function graphed below. The y intercept is at (0,-0.5) y = Rut 2- 1 2 5 6…

A: To find- Write an equation for the function graphed below. The y intercept is at 0, -0.5

Q: 8 4+n Does the series Σ (-1 1-104² n=1 5 n converge absolutely, converge conditionally, or diverge?…

A:

Q: Rewrite the rational expression by using division. Choices for 4-9: A) 6x - 2 C) 2x² +3x+5+ E) 6x3 +…

A: I have given the answer in the next step. Hope you understand that

Q: 1. Find the numbers for x where the function below is not continuous. Explain what type of…

A: Introduction: When the one-sided limits aren't equal, the two-sided limit doesn't exist, resulting…

Q: 6. If u = given by x = +2, where x+y+z= 1, prove that the stationary value of u is y b a+b+c' a…

A:

Q: 3. Given S: (1, 2, 3, 4, 5, 6, 7, 8, 9), A = {2, 4, 6, 8), B = {1, 3, 4, 5, 7) and C = {7, 8), find:…

A:

Q: If the number of equations in a linear system exceeds the number of unknowns, then the system must…

A: We have to determine whether the following statement is true or false : If the number of equations…

Q: solve the equation 10(+1)(3x+4) - 2 × 10(x+1)(x+2) 1-x-x² = 10¹-

A: The equation is of single variable function solution. We have to solve this for x.

Q: 15. Find the volume of the solid generated by revolving y-axis, the area enclosed by the parabole y²…

A:

Q: 3. The number (in millions) of employees working in educational services in a particular country was…

A:

Q: Check here for instructional material to complete this problem. Plot the two given points and then…

A:

Q: zetiz 2²+ a² etiz 2²-a² Hint For the point at (e) 18.0

A:

Q: b) Find the limit, if it exists, or show that the limit does not exist. 3x4 - 3y4 lim (x,y) (0,0)…

A:

Q: a. Show that the Bessel equation of order one-half 1 x²y" + xy' + (xª¹ − ¹²¹)y=0, x>0, can be…

A: