Find the cost of 526 square meters of cloth at #18 per square meter?

Q: The power set P(A) of a set A is the set containing all subsets of A, including itself. Let A = {a, ...

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Q: t-up the definite integral(s) equal to the arc length of the curve defined by the parametric uations...

A: We have to set up the integral for arc length.

Q: Find the volume of the region bounded below by z = x² + y°, laterally by the cylinder x² + y? = 1, a...

A: Given the region bounded below by z=x2+y2  laterally by the cylinder x2+y2=1  and above by z=x2+y2+1...

Q: 10 5- (-5, 3) -10 (-7,0 -5 5 10 (1, –1) (-1, –4) ▼ -5 -10 A city planner laid out a small town on a ...

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Q: 3. Let f(x) = x² and for each real number n > 1, define the function 1- || In(x) = 1 – n (i) Find th...

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Q: Find a general solution to the given equation fort<0. 9. y"(t) -y'(t) 29 y(t) = 0 The general soluti...

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Q: Statements Use the statements defined below to write the sentences in symbolic form. Note that the w...

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Q: CALCULATE I = 2² + y² + z*dædydz, WHERE "T" IS THE CILINDER 2² + y? < 1,0 < z < 1.

A: A scalar function f(x,y,z) is a rule that is used to associate a number or quantity with a particula...

Q: A tricycle runs 50 kilometers per hour while a car runs 4/5 faster. What is the speed of the car?

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Q: graph. Find the area common to the circle r = 3 and the cardioid r = 3(1 – cos 0).

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Q: min 4a1 + 5xз subject to 2x1 + x2 – 5x3 -3x1 = 1 + 40з + х4 — 2 x; > 0, i = 1, 2, 3, 4.

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Q: min -5x1 –- x2 + 12x3 subject to 3x1 + 2x2 + x3 = 10 5x1 + 3x2 + +x4 16 X; > 0, i = 1, 2, 3, 4. for ...

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Q: Solving. A. For each figure given below, find all six trigonometric ratios for all angle 0. 8. 1. 2....

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Q: Consider the function f (z) = ²-sin z z3 The Laurent series of f (z) around 0 is : 1 z2 a) 3! 5! 7! ...

A: Given: f(z)=z-sinzz3

Q: 3. How many integer solutions are there to the equa- tion X1 + x2 + x3 = 9, with x; > 0? How many so...

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Q: • Consider the differential equation 2y" + 7y' – 4y = sin 3x + 4e*/2, _ a) Determine the form of a p...

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Q: For Valentine's Day, you decide to make your own vase to hold the flowers for your significant other...

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Q: Let T : V → W and S : W → V be two linear transformations satisfying T ST = T and ST S = S.   Fix V...

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Q: (3) If today is Thursday what day of the week will it be 31 days from today? (4) If it is currently ...

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Q: a The population of Kenya was 30.7 million in the year 2000 and 38.3 million in 2010. a) Find the gr...

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Q: 1. A softball is hit by a batter when it is 3 feet off the ground. Its height off the ground is give...

A: Given that ht=-16t2+80t+3 where h is in feet and t is in seconds. We have to draw the graph h(t).

Q: Consider the function h : Z x Z → Z ×Z defined by h(x, у) — (2ху, 7x — Зу). (a) Is h injective? (b) ...

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Q: =-rگت( (1+ V5) )(n- 2) < fn (п— 2) Use induction to prove that 2 ((1+ |(n–1). for all n 2 3.

A: Introduction: One of most important sequences in mathematics and number theory is Fibonacci sequence...

Q: 2. Let the rref of a matrix A be, 1 0 2 0 -2) 0 1 -5 0 -3 0 0 1 6 Determine A if the first, second a...

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Q: Bipartite graphs Consider the following graph G1 edge set of G1 is E = {(v1, v5), (V1, V6), (v2, v3)...

A: Let G = V , E is bipartite graph.  We know that , bipartite graph is a graph whose vertices can be d...

Q: Let Ax = b be a linear system whose augmented matrix has a reduced row echelon form given by: 1 0 -1...

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Q: 2. j - ÿ + 4ÿ – 4y(t) = t; y(0) = ÿ(0) = 0, y(0) = 1 %3D

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Q: Solve the following Differential Equations using Laplace Transforms: 1. ÿ+ 6ÿ + 11ỷ + 6y(t) = 0; y(0...

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Q: Glven A = and B=. Determine the components, magnitude, direction angles of the vector 3B + A. Sketch...

A: We have to find the components, magnitude and direction angle of the vector.

Q: How do you find the inverse of Q=250-0.5p? I know the answer is P=500-2Q, but how did we get that? ...

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Q: Consider the simplex tableau given below. X1 X2 X3 S1 S2 S3 1 2 22 1 - 5 27 - 4 2 4 1 19 P.

A: The basic variables gives the identity matrix Therefore the basic variables are as follows  

Q: 3 4 2 -1 6. | Find all eigenvalues for the matrix D = 5 0 -2 5 76 N

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Q: Quantifiers and Symbolic form Given the following definitions, write the following sentences using s...

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Q: Q7

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Q: Convert V21 + i/7 into polar form 8. 47 Convert 2 +i sin 3 to rectangular form.

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Q: Using Pappus theorem, find the volume formed by revolving about the x - axis the area bounded in the...

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Q: The distance from C to D is 250 kms. The distance from B to C is 3/5 the distance from D to C. The d...

A: The complete solution is in given below

Q: Find the length of the curve y = In sin x from t = -2 to t = 0.

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Q: Find all eigenvalues for the matrix E and, for each eigenvalue A, find -10 -8 a basis for the eigens...

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Q: +y²)dx + (x² – y²)dy where C is the triangle with vertices (0,0), (2,1) and (0,1).

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Q: Winter Temperature The temperature T in degrees Fahrenheit on a cold night x hours past midnight can...

A: 133. T(0) = 03 - 6.02 + 8.0 = 0          T(4) = 43 - 6.42 + 8.4 = 0     Therefore, T(0) = T(4)      ...

Q: dT/dt = -k(T – Ta) where T = the temperature of the body (°C), t= time (min), k= the proportionality...

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Q: Let L be the line with parametric equations x =-1+2t y = 1+t z = 3 Find the shortest distance d from...

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Q: Exercise 3. Prove that a relation R on A is antisymmetric if and only if RNR-' C {(a, a) | a E A

A: We know that , A relation R on set A is antisymmetric  if either x , y∉ R  or (y , x) ∉ R whenever x...

Q: 20 3 -1 1 -7 X1 14 1 -3 1 8. X2 -2 12 2 1 X3 7. -3 -1 18 -4 8. X4 18 1 -3 -3 17 -1 X5 4 -1 2 10 -1 X...

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Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) Y1...

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Q: Let A = {x | 5x + 1 E Q} and B be the set of all even integers. Prove that A and B have the same car...

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Q: Consider the curve C defined by the parametric equations x = cos t and y = cos(2t), where te [0, T]....

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Q: Cade put a total of 90 books on 6 shelves. On 5 shelves, he put 14 books each. The remaining books w...

A: A linear equation is represented as y=ax+b, where a, b are constants and x, y are variables.  Formul...

Q: A mother is now three times as old as her daughter. In 4 years, the mother will be four times as old...

A: Let Mother's age now is M years Daughter's age is D years Given mother is now three times as old as ...

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.