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Q: a)Solve the following system of equations. Let z be the parameter.   2x+3y−z =1 3x+5y+z =4

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Q: Determine the solution of the system of equations 2x1 1 -5x1 + x2 3x2 I? + + 13 x3 = 213 345 -5

A: Given system of linear equations are: 2x1-x2+x3=3x1-3x2+x3=4-5x1+x2-2x3=-5 We have to find the…

Q: A company makes three types of candy and packages them in three assortments. Assortment I contains 4…

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Q: Penelope travels 14 miles in 30 minutes. At what constant speed is she driving?

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Q: A dairy company gets milk from two dairies and then blends the milk to get the desired amount of…

A: suppose milk purchase by company from dairy I is x gallon and y gallon. according to question, dairy…

Q: Graph: y=10sin(3pi(t))+115. Please show intervals

A: Consider the given function, y=10sin3πt+115 So, it can be observed that, ampltude=10angular…

Q: 3. Consider the system of linear equations. ₁ + 2x₂ 3x3 + x₁ = -2 3x122x3 - 4x4 = 1 2x1 + 3x2 − 5x3…

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Q: Verify that the given functions y1(t)=t, y2(t)=t?^t are solutions to the homogeneous equation…

A: To verify the  functions is solutions we derivative the functions then we find value in given D.E…

Q: Begin by graphing ​f(x)=3x. Then use transformations of this graph to graph the given function. Be…

A: We have to graph function g(x)=3x9.To find: Domain, range, and equation of asymptote using graph.

Q: (d) P→ (RvQ) (e) (PvQ) ^ (R⇒S) (f) P (RVS)

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Q: 12. Shove that 53 103 39|53 1⁰ +103

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Q: Graph the following functions with a calculator and determine the Domain and Range. a) y = 2x − 1…

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Q: (d)Prove part (a) assuming that the domain D enclosed by the simple closed curve C' with positive…

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Q: x² + x = 13(mod17) X= * (mod17)

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Q: Determine whether the statement is true or false. If the statement is false, make the necessary…

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Q: 2 2 1+ 5+² µ² = (1 + 2/² ) E" - M+² = 2

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Q: Why can’t the nearest-neighbor method with a (4, 2) binary linearcode correct all single errors?

A: Let C be a binary linear code such that it can correct any single error with the nearest neighbor…

Q: Show that x is not a generator of the cyclic group (Z3[x]/<x3 +2x + 2>)*. Find one such…

A: Consider the given cyclic group, Z3x/x3+2x+2* It can be observe that x3+2x+2 has no zero in Z3. So,…

Q: (e) Verify Green's theorem for a vector field F(x, y) = y²i+z²j and a triangle bounded by the lines…

A: We are given vector field F(x,y)=y2i+x2j For a triangle bounded by x + y = 1 , -x + y = 1 and y =0

Q: 2 6² 1) △ 블+ov DA + 8√√√1+(8²/4) 름 + = girl cz 3) MS=+ㅍ 2

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Q: 1. P 2. P→Q 3. ¬QVR :.R 4. Q 5. Q 6. R 2,1 4 3,4

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Q: et A € Rnxn be a positive definite matrix. Prove that A-¹ and A² are also positive definite. Use the…

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Q: (2x + 3) + (2y - 2)y' = 0

A: Given differential equation  2x+3+2y-2y'=0 We know that the differential equation Mdx+Ndy=0 is exact…

Q: TASK 1: INTEGRATION Another application of integration is in probability. This task applies your…

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Q: 2. Let a, b and c be real numbers. Consider the system of linear equations that has augmented…

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Q: Application of Green's theorem I Assume that u and u are continuously differentiable functions.…

A: Given: u and v are continuously differentiable functions.   To Prove: ∬DuxvxuyvydA=∫Cudv using…

Q: Using your own intuition, develop fuzzy m the fuzzy number 5, using the following fu (a) symmetric…

A: A generalisation of the indicator function in classical sets is the membership function of a fuzzy…

Q: 6. if x C y. (a) (b) Let R = {a: a is a cut}.Let x, y, E R. We say that a <y if and only Prove that…

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Q: x² + 4x = 10(mod11) (mod11) X=

A: Given that x2+4x≡10 (mod 11)x2+4x+4≡10+4 (mod 11)x2+4x+4≡14 (mod 11)x2+4x)(x+2)2≡14+11 (mod…

Q: Exercise 6.6. Let the inductive set be equal to all natural numbers, N. Prove the following…

A: As per our guidelines only first three subquestions are solved. For remaining subquestions kindly…

Q: sinx, h(x) = x² f(x) = 3x - 2, g(x) = sin x,

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Q: 2x² + 3x = 14(mod19) X = * (mod19)

A: Given,            2x2+3x≡14 (mod 19).

Q: The domain and target set for functions f and g is the set R .f(x)=2x, g(x)=3x Select the correct…

A: Let f: X→Y and g: Y→Z be two functions then f∘g: X→Z Note: f∘g=f(g(x))

Q: C  is an arbitrary constant. The general solution of the DE dy/dx = 2x/y is…

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Q: 1 -2 1 Given A-54 4 -7 3 4-5 2 2 -1 -2 6-4 [1] Compute each of the followings if it is defined. If…

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Q: a. Write the statement in symbolic form. b. Construct a truth table for the symbolic statement in…

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Q: 10. The value of C(8,3) is 0 42 O 56 O 54 O 210

A: The combination is defined as an arrangement of objects where the order in which the objects are…

Q: If y = g(x) satisfies the initial value problem (IVP) 2-x = 1, y(1) = 4, dy dx then (a) the slope of…

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Q: Exercise 2 Let (An)n be a countable collection of subsets of R such that m*(An) n: x € Ang}. (2) Let…

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Q: A machine shop manufactures two types of bolts. The bolts require time on each of the three groups…

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Q: Find the cardinality for each of the following sets. > 10 D {0, 1, 5} x {1, 3} { x = Z x² < 8} Z+ -…

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Q: Exercise: A tank contains log of salt in 200 liters of water at t₂ = 0. Salt water (18/L) starts to…

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Q: A garden shop sells two kinds of mixtures for planting. A package of gardening mixture requires 2…

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Q: Let A be a 3 x 3 symmetric matrix given by A = 2 -1 0 -1 0 2 -1 2 -1 Find an upper triangular matrix…

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Q: 5x² + 3x = 3(mod17) X = (mod17)

A: Given that 5x2+3x≡3 (mod 17)x(5x+3)≡3 (mod 17)x≡3 (mod 17)  or   (5x+3)≡3 (mod 17)x≡3 (mod 17)  or…

Q: 5. Determine if the statements below are True or False. If it's True, explain why. If it's False,…

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Q: In Z[i], show that 3 is irreducible but 2 and 5 are not.

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Q: Consider the differential equation (DE) 5 j=4 xj+¹y(²j) + πx² (y(7))¹² + xy" + y' = cos(2x). a) Its…

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Q: Given the graph below state the x-values at which the function is a) not continuous b) not…

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Q: 12.F. The Cantor set F is wildly disconnected. Show that if x, y = F, xy, then there is a…

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