1.  Create a system of linear equations with three equations and three unknowns.     Solve the system of equations you created using matrices     Analyze the situation i.e. pretend that the person has some knowledge of lines and planes      but that isn't knowlegable and wants you to explain to him what is happening.

Q: 4. Determine if the following lines intersect. If the lines do intersect, state the solution. If the…

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Q: 4.z=(y'-2) 3/4-2y ;z= dz dy

A: See the details solution in below

Q: Solve the equation | +6 - 4. The solutions are 1 = and 2 = where ₁ ≤ x2. This means x₁ is the…

A: Given,  |x+6|=4

Q: f(x)= √x-2x √√x X ; f(x)

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Q: Which one of the following is the domain D for f(x, y) = ln (2²-(y-2)²) ? Select one alternative:…

A: The given function: fx,y=lnx2-y-22.We need to find the domain.

Q: 5. Identify and sketch the graph of y = x² + 1 in R³. M

A: y=x^2+1 x=0 y=1 x -3 -2 -1 0 1 2 y 10 5 2 0 2 5

Q: Let y = f(x), where f(x) = 7x³ + 3x. Find the differential of the function. dy = X

A: The differential of y is the derivative of the function times the differential of x,

Q: 5|2 X 1 If f(x) = X A. f(x) is continuous at x = 2 B. f(x) is discontinuous at x = 2 C. lim f(x) = 1…

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Q: Solve the given differential equation by separation of variables. dP = p - p² dt P ||

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Q: Solve the given differential equation by separation of variables. dp = P - p² dt et+c P = _t+c X

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Q: Prove that For all A ∈ A, we have 0≤ P(A) ≤ 1

A: Concept: Probability: Probability signifies the possibility of something happening. It's a…

Q: What is the limo+x².In(x) For answers that are fractions infinity negative infinity write... in…

A: L' Hospital Rule  :   If limx→a f(x)g(x) = 00 and ±∞±∞ form , then               limx→a f(x)g(x) =…

Q: Find an antiderivative for each function when C = 0. a. 1 b. 2√x 1 c. ²{√x + 7/7 C. a. The…

A: Formula ∫ xn dx=(x(n+1))/(n+1) +c

Q: x-2x +x= 15; x (0) = 7, x (0) = -16

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Q: 3. Consider the vectors X and Y in R³ where X = -i+3j and Y = 4i - 2j + 2k. Find the unit vector…

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Q: The speed of sound traveling through ocean water with salinity 35 parts per thousand has been…

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Q: C

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Q: A person standing close to the edge on top of a 48-foot building throws a ball vertically upward.…

A: To find the maximum hight of the ball.

Q: What is the derivative of y = √x? 1 1 X 2 2 1 √x X 2 1 2 X 22

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Q: Find a particular solution of the indicated linear system that satisfies the initial conditions x₁…

A: Please see the below picture for detailed solution.

Q: A particle is moving with velocity v(t) = t2-9t + 18 with distance, s measured in meters, left or…

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Q: The radioactive isotope of lead, Pb-209, decays at a rate proportional to the amount present at time…

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Q: Question 2b. Consider the differential equation dy dx ex yee with initial condition y(0) = −1. b)…

A: We use the variable separable method to solve the given differential equation.

Q: aw C. If w=f(x,y) and x=r. cose, y=1. sing. Prove that ar 1 (dw r² 20 = fix² + fy²

A: Let's prove.

Q: Z = 5 X 4 2 -7x+8 d²z dx2

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Q: Given a function, Based on the function, S-3 F(s) = 2 S² +6s+13 a) Determine ƒ(t). b) Based on…

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Q: What is the derivative of y = sin (x³ sin (x³ – 3x)? dx = cos (x − 3) dy dx = cos (2x - 3) dy = cos…

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Q: If a person's temperature after x hours of strenuous exercise is T(x) = x³ (7- x²) + 98.6 degrees…

A: We have to calculate the rate of change after 1 hours

Q: 1. Let A = 24 12 -40 20 and consider the linear system = AY. Let Y(t) be the solution 5 What is the…

A: answer is in next step.  i can answer only one  question as per guideline thank you.

Q: Using the graph of the exponential function below, what is the limx→12 (3x)? 8 0 2 6

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Q: 3 s) Suppose that the direct demand and direct supply functions are q = - - 1 and q = 1 respectively…

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Q: dx X २ Assume that x and I are differentiable functions of t, and 3xx -x ³² + y² = @ 3 Find dx (xc)…

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Q: The equation of a surface in spherical coordinates is given by p= 6. Rewrite this equation in…

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Q: 4. | Give the general equation of the plane containing the point (3,-1,4) and 2-2 perpendicular to…

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Q: 2- Find xyz dV where D is the region with -1 ≤ x ≤1, x ≤ y ≤ 1, above z = x, and below z = y + 2. D

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Q: ART 1 Differentiate the following items below by completing the table. Copy the table and write your…

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Q: temperature function satisfies Tx(2, 3) = 1 and T,(2, 3) = 3. How fast is the temperature rising on…

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Q: 3. fe+tanx+(tan²x)+taxdx

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Q: 2. Find the Taylor series expansion of f(x) = ln(3-2x) about a = 1. 2

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Q: The 7th derivative of ƒ(x) = 3ñx³ – 12x4 + 7x³ − 11x² + √5 with respect to a is

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Q: Solve the following initial value problem using Laplace transforms. y"-9y=3e¹; y(0) = 0, y'(0)=1

A: Explanation of the answer is as follows

Q: WEEK 8 LESSON 3: Finding Circumferenc 0 LEARNING TASK 1 Ma'am Rona, Reese's teacher saw Piolo and…

A: Given Diameter=4m  Radius=2m  Solve the learning task

Q: Consider the initial-value problem y' + exy = f(x), y(0) = 1. Express the solution of the IVP for…

A: Given:- y'+ex y =f(x) , y(0) =1  Find:- Express the solution of the IVF for x>0 as a non…

Q: Let y = f(x), where f(x) = 5x² + 5. Find the differential of the function. dy = X

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Q: 2) Find the oneer bounded by x = 3y²-9, x = 0, y = 0, y = 1 a) 8 b) 6 c) 4 d) wone of the above

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Q: The profit in dollars from the sale of x expensive watches is P(x) = 0.04x² - 5x+6x0.3 |_ -4800.…

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Q: Given the piecewise function f(x) = = Why is f not differentiable at x = 0? f is discontinuous at x…

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Q: To say that x + 5| ≤ 3 is the same as saying is in the closed interval [A, B] where A is: and where…

A: The objective is to find A and B.

Q: Instruction: Evaluate the following Integrals. Write your COMPLETE solutions neatly and organized.…

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Q: Find y' y = e2x - e3x e4x

A: This question is based on diffrentiation of exponential Function.