Test: Test 1: Chapters 1, 2, and 3 Use the Venn diagram to represent set A in roster form A= (Use a comma to separate answers as needed.) Next question THIS 1 6 A 8 10 B 14 16 20 23 26

Q: A group of 12 students have to decide among three types of pizza: sausage (S), mushroom (M), and…

A: Solution:By Hare System-3    3    2    2    2B  M   S    B   SM  B   M   S    BS   S   B   M   M

Q: Find a general solution of the linear system below. x"=-8x + 2y, y"=2x-5y Solve for x(t). Choose the…

A: Given system is x''=-8x+2y,   y''=2x-5y   To Find: x(t) and then y(t) so that x(t) and y(t) are a…

Q: x1 + x2 + x3 = 0 x4+x₂+2x3 = 0

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Q: Construct a kite ABCD having AB of length 50 mm, BC = 80 mm, and angle BAD = 55°. Measure BD and…

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Q: In this problem you will solve the nonhomogeneous system ✓ = [_3__3] + [3] y' -9 -3 A. Write a…

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Q: In what degree of homogeneity is the function x + 4y

A: The given function is x+4y To find: degree of homogeneity of the given function.

Q: 0.7 0.6 H.w1: evaluate fofo ex siny dx dy i) using the trapizodial rule in both direction, Ax = Ay =…

A: To evaluate the definite integral ∫abfxdx, use the following formulae. Trapezoidal Rule:…

Q: solve. (exy + e²) dx + (zey + e*) dy + (ey −exy - e'z) dz

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Q: Find the length of the curve X= -y², 1≤ y ≤9

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Q: Q/ if f continuous map Prove that f(B) = f(B), VBCY

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Q: Find the measure of the arc or angle

A: Suppose two chords intersects inside the circle, then the measure of angle formed by the chords is…

Q: Partial Derivative: Determine all the partial derivatives of the following unless otherwise…

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Q: A group of 12 students have to decide among three types of pizza: sausage (S), sushroom (M), and…

A: according to question, a group of 12 students have to decide among three types of pizza: sausage (S)…

Q: 8. Let f(x, y) be a cost function with two parameters: x and y, and f(x, y) = y³x²y² + y + 3. For…

A: Given the function  fx,y=y3-x2y2+y+3and xold=1, yold=0, ε=0.01

Q: Explain why the integral is improper. 49 1 dx 1.6 1.4 1.2 Y 0.81 0.6 0.4 0.2 10 20 O At least one of…

A: Improper integral and it's convergence

Q: Solve using Power Series Centred Around Zero. (x² − 1)x²y" — (x² + 1)y² + (x² + 1)y= - - = 0

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Q: Let D = {x² + y² ≤9, x² + y²-5 ≤z ≤ T= {0 ≤p ≤ 3, 0 ≤0 ≤ 2π, n

A: Introduction: The process of determining the area of the region under the curve is known as…

Q: the centroid z of the frustum of the right-circular cone.

A: The diagram is given as,

Q: The average number of classic comic books sold per week at your store is 28. What is the probability…

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Q: f(x)= 42+ kx +p is exactly divisible by x+2 and f'(x) is exactly divisible by 2x-1, find the value…

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Q: A rancher has 260 meters of fence with which to enclose three sides of a rectangular meadow (the…

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Q: Q5) Use Euler's method with h-0.14 to obtain a numerical solution of y = 1+ (y-x)² subject to…

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Q: Find

A: We use definition of Z-Transform.

Q: 2. Using the Fundamental Theorem of Arithmetic, prove that for all a, b, c E Z, if alc, blc and (a,…

A: Every integer can be factored uniquely into primes upto order of arrangement. (a,b)=1. Then there…

Q: * Consider the following matrices /1 1 1/2 3 4) ^ - (-: 2) - - († ;) -- ( 7² :¦ ¦) -- () --(:::;) A…

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Q: The particular solution of the differential equation y" + 2y′ − 3y = 5e²x (Select one) a) yp = e²x…

A: Here we can use operator method to find the particular solution of the differential equation. In…

Q: Explain why the integral is improper. 49 1 dx 1.6 1.4 1.2 Y 0.81 0.6 0.4 0.2 10 20 O At least one of…

A: We Know that  An improper integral is a definite integral that has either or both limits infinite or…

Q: Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli…

A: Introduction: A differential equation is an equation that contains the derivative of an unknown…

Q: . Use x,  y and z as variables to rewrite the following sentences to mathematical statements  A…

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Q: An invalid argument is given below. X (P(X) Q(x)) 3x (-P(X) A-Q(x)) EXP(X) The domain of x is the…

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Q: ne blanks and b = -2x+9y, write

A: Given: a⇀=3x⇀-5y⇀ and b⇀=-2x⇀+9y⇀ We should write the given vector5a⇀-8b⇀in terms of x⇀ and y⇀

Q: solve using laplace transform ૧ . y"+y = f(t) where: (0)=0, y'(0)=1 1 0, 0≤ t 2π y

A: The given differential equation is                    y''+y=f(t),  y(0)=0, y'(0)=1 where…

Q: In a certain Region, about 7% of a city’s population moves to the surrounding suburbs each year, and…

A: We have to Set up a difference equation that describes this situation, where x0 is the initial…

Q: The multiplicative inverse of x²+x-1 in Z5 [x]/ is: O x^3 O x+1 O x^4 O None

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Q: 3. Use the Laplace transform to solve the given differential equation. 2x - 4y = 4, - y' + 2x + 2y =…

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Q: QUESTION 1 A doctor prescribed his patient pills that must be taken twice a day. The pills consist…

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Q: Q4 Here are some vectors. -2 Now here is another vector: 4 Is this vector in the span of the first…

A: We have to check whether the vector v=14-2 can be written as the linear combination of the given…

Q: QUESTION 16 Three states have the following populations: State Population A 10,040 B 8000 C 2050 A…

A: Given the data is State Population A 10040 B 8000 C 2050

Q: 3) For f(x) = log2 x and (x)=√x-4, what is the domain of f(g(x)) and g(f(x))?

A: The function f(x)=logx is defined for x>0 The function f(x)=x is defined for x≥0 Note: If logba=c…

Q: Se²x s sin 2x dx 1. Solve (i) The integration by parts method. (ii) The tabular method. using the…

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Q: 1 Obtain a numerical solution of y-1 = using Euler's method with step size equal to (0.02) y and…

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Q: Find the complete solution of the following partial differential equations. (i) p²+q² = 4x + 4y (ii)…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: 1) Given F(x, y, z) = x³ i + 3yj - z4 k and the curve C parametrized by r(t) = (sint, cost,t), te…

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Q: 3-) (58+2) 32-8 (+2) (8+1

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Q: X = 1 + 6t y = 2 + 4t, t ER z = 2t A line is defined by the parametric equation L : If the point (a,…

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Q: Q3/Solve the non-homogenous equation 32 +1 = 3x³ cos(2x - 1)

A: We use linear differential operator to find PI.

Q: Express the polynomial f(x) = 2x² + 3x³x²+x-2 in the form f(x)=b₁(x - 5)¹. i=0

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Q: Let U= {1, 7, 6, 14, 5, 10, 20, 18) A = {1, 20, 18} C = {7, 6, 14, 5, 10} Find A U C'.

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Q: 4 The remainder when the expression x³ + x² - 5x-3 is divided by x-2 is 5 times the remainder whe…

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Q: Question 1 Calculate the acceleration for t=7.3. Table 1: Velocity and time table Time 1 2 3.25 4.5…

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