Calculate the simple interest due on a six-month loan of $800 if the interest rate is 2.2% per month. ​     $211.20     $105.60     $905.60     $10,560.00     $8.80

Q: () 4 -2 -1 4 1 3 If A = 3 -1 and B 5 1 find BA. -2 1 -5 6. -1 2 | na () ? ? ВА%3 ? ?

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Q: 1. Find the general solution of each of the following differential equations. If an initial conditio...

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Q: 3. Let d(x, y) := |2 - 2| for x, y E R. . is a metric on R. Show that (R, d) is not a complete metri...

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Q: P6.7 Simplify the following Boolean expression using Boolean algebra laws: [Y +(XY)]'+X

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Q: Use any method to determine whether the series converges or diverges. 00 k3 + 27 k=1 O The series co...

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Q: Use the inverse of a matri:

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Q: Note: F=9 K=1 F+9 2x-(4+F) 4. Let f(x) = h(x) = Vx + (k +3 + F) and g(x) . Answer V8x -(F+5) 8+K the...

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Q: Evaluate the given function ƒ sin*xdx sin(2x) 3x а. 8. sin(4x) + C 32 4 sin(2x) sin(4x) + C 3x b. 8....

A: Solution

Q: . Answer the following (show all solution steps) Note : m=0 n=0 a. Give the measure of your length i...

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Q: ve that the are lengh - loj secx from

A: Introduction: The formula for the arc length for the curve y=f(x) from a to b is given by, L=∫ab1+(f...

Q: mation to th- correct to thre

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Q: Rewrite the given triple integral in cylindrical and spherical coordinates and evaluate one of them ...

A:   Given integral ∫−22∫04−y2∫−4−x2−y24−x2−y2zx2+y2+z2dzdxdy  

Q: Problem 4: Define f: [0, 1] R by f(x) = 2x if x is irrational and f(x) =-1 if x is rational. Careful...

A: Given function f: [0, 1]→ℝ f(x) = 2x , when x is irrational-1 , when x is rational

Q: 1. Use the Wronksian to verify the given functions form a fundamental set of solutions of the differ...

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Q: 11. An analyst has timed a metal cutting operation for 50 cycles. The average per cycle was 10.40 mi...

A: Given : The observed time=10.40 minutes. Standard deviation=1.20 minutes. Performing rate=125% Allow...

Q: 1 converge ne series n3-7

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Q: The exponential form of 2 + 2V3i is Select one: none 4e 4e S 4e

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Q: Use the Laplace transform to solve the given initial-value problem. y" + y = 2 sin(V2t), y(0) = 11, ...

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Q: Relations and Mapping Diagrams Let A = {1, 2, 3, 4} and let B = {1, 2, 3, 4} a) Enumerate A × A b) L...

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Q: Only C and D

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Q: Least residue of 63^9 mod 10

A: Rational Numbers: All the numbers which can be written in the form of pq. Here, p and q are integers...

Q: dy 2- (a) Determine dx if y = V(3x2 + 2)3 – 8 . (b) State any values of x for which the function f(x...

A: Given that: y=3x2+23−8

Q: Consider the matrices 0 7 0 8 0 0 0 0 1 4 13 -1 7 1 0 3 1 2 -1 25 -3 -19 1 -2 -1 A = 3 -6 1 1 1 and ...

A: The main objective is to solve part a,cand d. In order to solve using the columns of A and using the...

Q: 10 13 (p). (d) 16 (b) (ii) i)

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Q: The following holds for the geometric sequence gn: the first term g1 is equal to 5, the sum of the f...

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Q: Simplify the followin

A: In this question, the concept of Boolean algebra is applied.Boolean algebra A boolean expression is ...

Q: The graph of an exponential f

A: Given,          

Q: Find a Rational number between 1/4 and 1/3

A: We will use basic knowledge of rational numbers to answer this question.  

Q: b, c e R such that abc

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Q: 2. /1+ cos² x dx dy = ? Isin¬' y -2/2 1 (a) 3 3 2/2 (b) 3 3 -2/2 (c) 1 3 3 2/2 (d) 1 3 3 V2 1 (e) + ...

A: Given is multiple definite integral.

Q: If P(n, 4) = 5P(n, 3) then n = %3D Select one:

A: Given we have P(n, 4) = 5P(n, 3) we have to find the value of n we know that P(n, a) = n!(n-a)! usin...

Q: 6. Solve the following Cauchy-Euler equation. (Section 4.7) x?y" + 5xy' + 4y = 0

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Q: n of the dif 1x² + c-

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Q: One solution of the given differential equation is given. Use the reduction of order formula to find...

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Q: Compute the inverse of the matrix A = -2 -9 7 or state 1 -9 nat A is singular. s the matrix A singul...

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Q: Question 2. Solve the following differential equations: a) 4 dy dx2 dy 42- 3y = cos 2x. - dx

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Q: Prove: " Show that the number of edges in a simple planar graph of order n is at most 3n – 6". Give ...

A: This is a problem of Graph Theory.

Q: There are at least 3 different ways to solve the equation (csc^2(2theta)-1)^2 = 9. Use at least 2 di...

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Q: Sketch the direction field of the differential equation y'=cos(xy); trace a solution through the poi...

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Q: 1. The Onato Company produces chairs, lamps and tables. Each chair requires 6 minutes in machine cen...

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Q: ralues are positive or zero

A: for the solution to be optimal, in the minimization problem for the simplex method, depends on the v...

Q: dy Solve dx y tan x = esin x

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Q: encryted using a shift cipher with C(x) = (P(x) – 12)( mod 26). Decrypt the The Ciphertext below was...

A: The given encrypt function is Cx=Px-12 mod 26. Decrypt the chiphertext  XIZWIGQOSGOF. From the encry...

Q: QUESTION 4 Solve the following integral by using substitution method. S(6- sin3x)' cos 3x dx.

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Q: 2 4 X' = -1 6/

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Q: prove that |x3 + 1| < 0.331. If |x + 1| < 10, • If |x + 1| < 8, prove |æ³ + 1| < 78

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Q: using beta function integration Show that: 1 dx = bu xu-1 В (и, т — и + 1) (1 + bx)m+1 By making the...

A: Introduction: The Beta function is one of the most important improper integrals. It is defined as Bm...

Q: a) Define a mapping T:R* → R³ by [2а — b] =|b+c c+d T i) Determine whether Tis a linear transformati...

A: i)Tabcd+efgh=Ta+eb+fc+gd+h=2a+e-b-fb+f+c+gc+g+d+h=[2a-b+2e-fb+c+f+gc+d+g+h]=[2a-bb+cc+d]+[2e-ff+gg+h...

Q: 2 1 31 Find the inverse of A = 4 -1 3 -2 51

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