Accumulate ₱54,000 at 11.75% interest when compounded semi-annually for 3 years and 5 months

Q: 9. Given matrices a and B with appropriate sizes. Then. det(B) A. True B. False 10. [4 -3 2 Given A…

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Q: Q3 Assume that (M,d) is a Compact metric Space. Show that, f: (M,d) → (Y, 2) is Continous bjective…

A: f:(X, d) to (Y, d) is said to be homeomorphism if  1) f is continuous.  2) f is bijective.  3) f…

Q: • (d) Suppose a, b, c are non-zero vectors in R2, and a is perpendicular to both of b, c. Then b and…

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Q: 12a) n=l 3+1 22n-3 12b) M=1 1 'n' + 9n + 20

A: Part a) ∑n=1∞3n+122n-3By using series ratio test i.e. an ≠ 0 and L = limn→∞an+1anL =…

Q: Evaluate: (2) A5₁ Clearly showing your working

A: We need to evaluate i. The meaning of a5(2) is the present value of an immediate annuity of an…

Q: (a) Integrate x ln(x + 1)dx analytically; and numerically using (b) trapezoidal rule with iterations…

A: As per the rules we can solve only 3subparts per questions so I'm solving a,b,c

Q: Consider the linear transformation T: R³ → R³ that rotates vectors 90 degrees around the line (x, y,…

A: “Since you have asked multiple questions, we will solve the first 3 subquestions for you. If you…

Q: Q4) Consider the function f(x)= x³ -7x+3=0. Use Newton Method, find the positive root of…

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Q: ii. Let f: A → B and g: B → C be invertible mappings; that is, mappings such that f-¹ and g-¹ exist.…

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Q: Suppose that at each birth, having a girl is not as likely as having a boy. The probability…

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Q: 3. Emily is making a closed rectangular box with a square base from two different woods. The wood…

A: Given- Emily is making a closed rectangular box with a square base from two different woods. The…

Q: Question 2 Demonstrate the solution of the following system using Gauss elimination with partial…

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Q: 36. Prove that if λ is an eigenvalue of A and x is a corresponding eigenvector, then sλ is an…

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Q: Find the average rate of change of the function over the given interval. f(t) = 4t + 4, [1, 6]…

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Q: Prove (((LOM)-N) U(N-(LUM))) < (LU (MUN)) L, M, N are sets.

A: Follow the steps.

Q: 1. Given an array of strings, return another array containing all of its longest strings. NOTF: use…

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Q: See Handout 14. Let f(x) be a function of period 2 , where f(x) = 4x for 0<x< π and f(x)=0 for…

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Q: 9 The outward flux of the vector field F(x, y, z) = (+0 the boundary of the region E = {(x, y, z) =…

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Q: A mini zoo is engaged in animal breeding where the animals require three different nutrients…

A: We need to formulate a linear programming and then draw graph to find feasible region

Q: 1. Let : Z25→ Ss be a homomorphism such that o(1) = (12468). (a) Find (22). (b) Determine kero. (c)…

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Q: • Q2/ Using Lagrange multiplier method to find the maximum and minimum value of the function f(x, y)…

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Q: 1. Use the Modified Euler's method to find y when x = dy 0.1 to 0.2 given that = √√x + y for y(0) =…

A: Modified Euler's method uses the formula: ym+1=ym+hf(xm+12h,ym+12hf(xm,ym)) to perform the…

Q: Use variation of parameters to find a general solution to the differential equation given that the…

A: It is given that y1=6t-1 and y2=e-6t are the solutions of the given differential equation. We have…

Q: An outlier can reduce the accuracy of a linear model. True False

A: An outlier is a data point which lies away or differs from the rest of the data points. Removing an…

Q: and if the rectum AB-AC втс Sos LABSBC and Bстав 2 AB & B Cund BC CAB з авж вс 4AB-Вс 5 All of the…

A: Follow the steps.

Q: Your parents helped you buy a car. You were supposed to pay then back $2000 sixty days ago and $1800…

A: Solution:-

Q: 2. Use Euler's method to solve the O.D.E ý = y² + ex for 0≤x≤ 1, step = 0.1 with initial condition…

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Q: The dimensions of a cylindrical object are increased by a scale factor of 3. The volume of the…

A: The volume: V of a cylinder is calculated using the formula: V=πr2h, where r is the radius and h is…

Q: find the Inverse Laplace Transform 4s + 5 (s 1)² (s+2)

A: Solution :  Options (iv) is correct

Q: Using the Laplace transform solve ²+2 + 2q = tH (t-3), where q(0) = 0, q'(0) = 0.

A: 1l

Q: If n, k E Z. s. t. n is the square of an odd integer, then the perfect square of n must be of the…

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Q: 14a) 14b) f(x)= 2 4x-15 about the center x = 4 f(x) = ln(1+5x¹) about the center x = 0

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Q: 5. A = {0, 32, 62} where A-Z* 6. A = [5, 10-] where A = Z¹

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Q: The figure shows f, f', and f". Determine which is which. 2 y 0 -2 2

A: Solution :

Q: (0) = 6, y'(0)

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Q: 1. Evaluate 4 xdx 4+x³ ,by Composite Trapezoidal Method. n=7 fo(x) + 2 Σ1¹ f(xi) + f(xn) in-1 I = (b…

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Q: Use Euler’s explicit method to solve the ODE dy/dx= -1.4 + 8e^ -0.3x from x= 0 to x= 2.4 with the…

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Q: The dimensions of a cylindrical object are increased by a scale factor of 3. The volume of the…

A: A cylinder's volume is calculated using the formula: V=πr2h. Here, V, r, h are volume, radius,…

Q: 4. Assume that T: R² R³ is a linear transformation. Find the standard matrix of T if 1 0 T(e₁) = [].…

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Q: Sketch two periods of the graph of the function p(z) - tan (2-4). Identify the stretching factor,…

A: To find- Sketch two periods of the graph of the function px = tanx - π4. Identify the stretching…

Q: 1 Consider the diffe dy - y² +4y³ - 12y² a) What are the equilibria? b) On what intervale) is…

A: As per our guidelines we are supposed to answer only 3 sub part. Here first three subpart answered.

Q: solve the ode

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Q: You've decided to sell sweatshirts for the upcoming game. You project that at a price of $36.48 per…

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Q: O d) the height of corn in a field and the amount of precipitation during the growing season

A: Follow the answer.

Q: (D5-11D4+19D³ + 115D² - 200D - 500)y = 0 Ans: y = C₂e-2x + C₂xe-2x + C₂e³x + ₂x³x + C5x²e³x

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Q: Solve the equation and compare the roots using the five methods. Tabulate the data following 5…

A: Suppose the root of the function fx lies in the interval xn-1,xn. Use the following formulae, to…

Q: Find the Fourier series for the periodic extension given below: x(t): 0) = 1, (-1, te [0,2] te [2,4]

A: The given problem is to find the Fourier series expansion of the given periodic function over the…

Q: Find the interpolating polynomial of the following point and function using Newton's interpolation…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: 10+1 + 10 + 1 is divisible by 3 for n E N.

A: To prove the given statement we will use the method of mathematical induction in which first we…