At what interest rate will a principal of P9,500 accumulate to P15,000 in 2 years noounded semi-annually?

Q: Let Р and q be points in R³, then p∙q ≤ ||p||||q||. Hint: (a1, a2, a3) · (b₁,b2, b3) = a1b₁ + a2b2 +…

A: This is a problem of functional analysis.

Q: of determinants with respect to operations -4 3 0 0 6 1 2 70 -3 -2 1 1 -4 0 2/ Use the properties…

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Q: Use the Divergence Theorem to find the flux of F(x, y, z) = 3x³i + 3x²yj + 24xyk across the surface…

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Q: 2 -3 -5 5 2 -2 Let A = အားကြည့်ကြပါ 5 B - 1 -3 -5C - 3 4 Find: -3 -4 -1 3 5 -3

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Q: b) Adam walks in a straight line form the point A(-1, 4) to the point Q (4, 16) with constant speed.…

A: We will use position vectors of points to find equation of path . To find t use dot product of two…

Q: Question The following differential equation represents a logistic growth model. What is the…

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Q: Orthogonal Trajectories: The trisectrices of Maclaurin (a + x) y² = x² (3a − x)

A: Given the trisectrices of Maclaurin (x+a)y2=x2(3a-x). We have to find the orthogonal trajectories of…

Q: 6. What is the probability that a bit string of length 5 contains exactly three 1's? (Note a bit…

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Q: In Exercises 1-4, apply the Jacobi method to the given system of linear equations, using the initial…

A: Q6 asked and answered.

Q: Let V be a complex vector space and f a form on V

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Q: Let f a function that allows second derivatives: Vf(x, y) = (a²x-a²x², y² + ay) With a <0, it can be…

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Q: Select the prime numbers. 71 1 61 4528

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Q: 7. Polly purchased a car. She paid P150,000 as down payment and pays P5,500 at the end of each month…

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Q: Consider the system of equations: (a +1)x+ (2c-4)z = 2 -2by +z = 0 (-a - 1)x+ (1 - c)z = 1 Determine…

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Q: Consider the following function. F(x) = e3x² a = 0, n = 3, 0≤x≤ 0.1 (a) Approximate f by a Taylor…

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Q: transform

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Q: Prove or disprove if x2-1 is odd, then x is even

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Q: -3 -5 4 5 -3 2 Let A = -1 1 3.) (AB) C 4.) CTC 5.) 3A + 4B - 5C -4 B -1 1 -1 3 -3 3 5 -5 5 C = 2 -1…

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Q: Suppose A is the matrix for T: R³ R³ relative to the standard basis. Find the diagonal matrix A' for…

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Q: Prove or disprove For every integer m, m(m+1) is even

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Q: Which ones are composite numbers? 51 111112 1 71

A: We answer this based on prime factorization.

Q: 25-1 s2-6s+18 L-¹ {=

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Q: L {e²tsinh t}

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Q: Using Cramer's rule find the x, y and z 2x-y+3z=-3 3x+3y-z=10 -x-y+z=-4

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Q: Suppose that the point P can be placed anywhere on the line segment AB in order to change the angle…

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Q: 29. The maximum area of the parabola inscribe in a right circular cone having a diameter of 24cm is…

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Q: 2 -3 -5 -1 3 Let A = 400- 4 5 B = 1 -3 1 -3 -4 -1 3 3.) (AB) C 4.) CTC 5.) 3A + 4B - 5C 5 -5 5 C = 2…

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Q: b) Calculate the inclined angle λ and orthogonal rake angle yo, when yx =10°, yy =8°, qs=15°.

A: Solution :-

Q: Let p, f, and g be polynomials over the field F. Suppose that p is a prime polynomial and that p…

A: Given  F is field  Let p(x), f(x), g(x) be polynomial over the field F in an indeterminate x Suppose…

Q: 3) Solve for y'" (1): " - 4y' + 3y = 6t - 8, y(0) = 0, y'(0) = 0

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Q: . Prove that the series is divergent. Σ(-1)" n=1

A: We need to prove that , ∑n=1∞ -1n  is divergent. We know that , a sequence of partial sums of series…

Q: 7. Show that (a). (Z, +) # (Q, +). (b). (Q,+)# (Q\{0},.). (c). (R\{0},-) # (Q\{0},.). (d). (R\{0},-)…

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Q: S ¹{1²5²+7²7²}; Land n are constants

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Q: [17] For each of the following equations, find general solutions; ● solve the initial value problem…

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Q: - Find the laplace transform of the 1VP: y''' — 4y = et + t, y = y'(0) = y"(0) = 0 Find the lanlace…

A: Laplace transform of the given differential equation

Q: 6. Consider the system: | | dt = 2.r y(8 + 2y) + 2ry

A: Given: Let us consider the given system, dxdt=14xy-2x⇒Fdydt=y8+2y+2xy⇒g

Q: a. sketching the traces on the proper planes; b. identifying the type of quadric surface; c. (if…

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Q: Consider z as function of the variables x and y, it is defined by :

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Q: Suppose the pentagon below represents the base of a pentagon prism that has a height of 8 inches.…

A: We need to find area of pentagon and then multiply it by height to get volume of solid .

Q: 16) 10 yd X 79⁰ 18 yd Z

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Q: 5. Let a, b, n be integers with n >0 such that a % n = b%n. Which of the following statements is not…

A: Solution:     a%n = b%n     =&gt; n divides (a - b), or in other words (a - b) is a multiple of n.…

Q: 1. Iff: [0, 1] R is defined as f(x) = x if x is rational, 1-x if x is irrational, discuss the…

A: Given :  f: [0, 1] →ℝ  is defined as     f(x) = x,if x is rational1-x,if x is irrational To find :…

Q: Given a basis B = {(1, -2, 2), (2, 2, 1), (2, -1, -2)) for R³, - Use the Gram-Schmidt…

A: As you ask multiple different questions so I have to solve only the first one , but for you I solve…

Q: 3. 4. 6 5 8 4 9 58 4 3 2 5 9 4 7 26 5 93 7 8 8 9 2 9 2 7 4 9 8 2 5 5 2 6 3 6 3 7 9 7 1 5 8 7 3 9 8 4…

A: We need to solve the SUDOKU puzzle.  The number cannot be repeated in any row or column. And in the…

Q: Refer to the following vectors below. A = 3i6j+2k B = −8ż −4j – 10k C=2i 3j9k D = -9i3j - 7k 1.…

A: Since you have asked multiple questions here, we will solve the first question for you. To get the…

Q: Verify the initial value theorem of f(t) = 3 + 4 cos 2t. 7

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: A "bead" is formed by removing a cylinder of radius r from the center of a sphere of radius R (see…

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Q: Determine the Laplace Transform of the following functions. Show your detailed solutions. 6. f(t) =…

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Q: A line, passing through point (6, 3, 2) and is perpendicular to the yz-plane. Find a point on this…

A: We answer only one question at a time , so we will answer the first question since the exact one…

Q: If the distribution of the population is bimodal, then the sampling distribution for the sample…

A: Solution :-