ACTIVITY: Given the points (3,5)(2,4)(9,0) and (?,6). What could replace the? to create a non -function? Give the domain and range. Tell if it is a function.

Q: 1) (x² + y² + 1)dx + x(x - 2y)dy = 0

A: A differential equation Mdx+Ndy=0 is called exact iff  ∂M∂y=∂N∂x The solution for the exact…

Q: If 200 students attending business class are subtracted from those who showed up on time and that…

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Q: 4.2 Related Rates (#differentiation) Solve the following problems using the related rates method.…

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Q: b. 1. find the total solution to the problems d²y 6dy + +9=te-t dt² dt

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Q: e. {xER|x≤1}mi ai tadv f. {ER-4 0) h. {ER|x0} i. {r ER | 3}

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Q: Solve the problem using algebraic and graphical solutions. The JCT Company manufactures two…

A: The JCT Company manufactures two Products  Let assume x=J1 and y=J2 The Data is  Name of Product…

Q: Identify and sketch the domain of f(x, y) = x - y In (1 + y − x²) *

A: For a function: z=f(x, y), the set of real values of x, y for which f(x, y) is defined is called the…

Q: Given the differential equation (4x²+ y² dx + x(x-2y dy=0-. 1. Verify that M(x, y) = (4x²+ y² and…

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Q: Solve the 1. following differential equation. (x + sin y) dx + (x cosy-2y) dy=0

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Q: Let L: R[t] → R[t] be given by Lf(t) = tf(t). Is 1 an eigenvalue of L? Does L have any eigenvalues?

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Q: [6] Use Hilbert's axioms of incidence and betweenness to complete the proof of the following…

A: Given: The theorem, "If A and B are any two distinct points, then there exists a point X between A…

Q: Obtain the inverse Laplace transform of G(s) = 2 6s² +17s +15 (s+2)² (s² +2s+5)

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Q: der the proce chamber at a rate of 10 liters per minute. A dye solution having a concentration of…

A: We will formed a differential equation for amount of dye and then solve it to get exact amount after…

Q: 10 0 -5- -(0-8) 5 Graph B 10 1. Consider the function f(x) at left. Will its inverse be a function?…

A: We shall answer first Que only as per the company guidelines for others kindly post again.    we…

Q: Take a look at the operator defined as follows: ★: 2 × 2 → Z x+y=x+3y 1) Does the operator have a…

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Q: 2. Estimate the area (in units of cm²) enclosed by the funny-looking curve shown below. Show your…

A: We have been given a curve. We have to estimate the area enclosed by the curve (in units of cm2).

Q: The charge distribution in a particular material is of the form p(x, y, z) = cos x cos y cos z. Find…

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Q: A successful beehive can have a minimum of 60,000 in summer. The negative effects of urbanization,…

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Q: determine all eigenvalues and corresponding eigenvectors of the given matrix.

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Q: Directions: Find the derivatives using the definition of limits (4-step Rule). Show each step from…

A: Given a function f(x) then f'(x) , the derivative of f(x) is,  f'(x)=limh→0f(x+h)-f(x)h Note: Limit…

Q: Use the 8 and € approach like we did in our class to prove the following lim (3x²-5) = -2, Assume 8…

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Q: B. Vectors and Systems Consider the following system of equations: x1 + x2 - 4x3 + 2x4 = 2 4x1 + x2…

A: Using row reduce echelon form we can get the answer

Q: (a) Does the plane r(s, t) = (2 – 28 – 2t) k – ((4 + s) i + tj) - - the point (-4,-3,-4)? ? (b) Find…

A: Solution:    Comparing the given form with r (x, y, z) = x i + y j + z k, we get,      x = - 4 - s…

Q: σ(F₁) = o(F₂) ⇒ F₁ ≤ 0(F₂) A F₂ ≤ 0 (F₁)

A: What is Sigma-Algebra: A σ-algebra (also σ-field) on a set X is a nonempty collection of X subsets…

Q: (3) Find the solutions to each of the following augmented matrices, if they exist. (In each case,…

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Q: K At the time of her grandson's birth, a grandmother deposits $10,000 in an account that pays 6%…

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Q: 1) Chela wants to determine which electrical company would be better for her household. The first…

A: The main objective is to compare the two companies charges.

Q: (12x+2z+5y-3w=-657 2w+3x+12y + 5z = 164 25z+4x+5y+14w=77 8z+5x+10y+25w = 88

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Q: WORKSHEET NO. 3 Find the differential equations of the following family of curves. 2. Circles with…

A: We have a family of circles with center at r and tangent to the y-axis Now, an equation of a circle…

Q: 10. x(x² + y²)²(y dx - x dy) + y dy=0_

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Q: Question 7: x2 - 4 - y = 0 x2 - 4 - y = 0 ㅋ

A: X2-4-Y=0...........................(1) X2-4-Y=0...........................(2) Here both equation are…

Q: Let V be a finite-dimensional vector space and let T: V -> V be linear. Show by Rank-Nullity Theorem…

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Q: Solve for the value of x in the equation: 3 logx x - log x a. 10 c. b. 12 d. (30-2x) = 2. 15 20

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Q: M₁ = o.fc².b.d² w. (1-0.59 w) 200-10=0.9.20.7.300-480² w-(1-0.59 w)

A: Solution :- Let…

Q: 44. A cannonball is shot into the air on an alien planet. The path of the cannonball is modeled by…

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Q: Name and sketch the graph of the following equations: Indicate the intercepts and the traces. 1.…

A: Given equation:   9x2+4y2+z2-36=0 Rewrite the given equation:   9x2+4y2+z2=36 Divide the whole…

Q: 4.2 Related Rates (#differentiation) Solve the following problems using the related rates method.…

A: Given: In this problem, the given details are, a) The spherical iron ball 6cm in diameter is coated…

Q: Every computer science student works harder than somebody, and everyone who works harder than any…

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Q: Q.2 Find the value of x when Z is a standard normal random variable and P{-3 < Z <-1} = P{1<Z <x}.…

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Q: 3. The population of brown trout in Lake Namigos, in thousands, t months after stocking it on May 1,…

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Q: A large tank is filled to capacity with 300 gallons of pure water. Brine containing 4 pounds of salt…

A: Tank has been filled to capacity with 300 gallons of pure water. Incoming rate of brine solution  is…

Q: Define a relation on Q by a b if a-b= for some k, n € Z and n > 0. (i). Prove that it is an…

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Q: 2 Prove that lim 3x² + 1 = 1 by using the squeeze theorem. 2-0

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Q: Solve the nonhomogeneous system of linear equations x₁ + x₂-x₂ = -1 x₁ + x₂ = 3 3x₁ + 2x₂ - x₂ = 1…

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Q: 12. Determine the particular solution of the following differential equation: y'= e3x+2y Where: x=0;…

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Q: Let a₁,..., an EC with |aj| < 1 for all j = 1,...,n and A₁,..., An ≥ 0 real numbers satisfying 1 j =…

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Q: (c) Let S be a nonempty subset of R that is bounded below. Prove that the greatest lower bound of…

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Q: a. A possible rule could be L(n) = b. A possible rule could be L(n) =

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Q: Let A be the 5 x 5 matrix whose entries are all 1, that is, [1 1 1 1 1] 1 1 1 1 1 A = 1 1 1 1 1 1 1…

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Q: For the following equation d²x + 9x = 0 dt² 3 ● given initial conditions x(0) = 0.01 and day 14 = 3…

A: Given:the diff Eqn given is d2xdt2+9x = 0initial conditionsx0 = 0.01 dxdtt=0 = 3Asked;i) max…