Explain how to write a linear system of three equations in three variables as a matrix equation.

Q: Use vectors to determine whether the points are collinear. (0, −2, −5), (3, 4, 4), (2, 2, 1)

A: A(0, −2, −5), B(3, 4, 4) & C(2, 2, 1) be the given points. Now vector joining the points A and B...

Q: a winch of radius 5 ft is used to lift heavy loads. if the winch makes 8 revolutions every 15 s, fin...

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Q: a) find the slope of the curve y=x^3-11x at the given point P(2,-14) by finding the limiting value o...

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Q: A 13 ft ladder leaning against a wall begins to slide. How fast is the top of the ladder sliding dow...

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Q: The question is attached

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Q: Let if x 3 - (a) Evaluate each limit, if it exists. (i) lim f(x) (ii) lim f(x) (iii) lim f(x) (iv) l...

A: Given function is fx=-x3-xif x<0  if 0≤x<3x-32   if x>3 (a) We have to evaluate limit of th...

Q: d a² – 2x Find dx

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Q: Explain the best way to evaluate 900!/899! without a calculator

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Q: Use the tabular method to find the integral. (Use C for the constant of integration.) 3x3 sin(x) dx

A: The given integral is ∫3x3sin x dx. ∫3x3sin x dx=3∫x3 sin x dx ddxxn=nxn-1∫sin xdx=-cos x+C∫cos xdx=...

Q: 7. et² -e-y² = }(e - e-1) lim %3D (x, y)→(1,1) x+y

A: To Determine: to prove  lim(x, y)→(1, 1)ex2-e-y2x+y=12(e-e-1) Given: we have a  problem based on lim...

Q: Find the horizontal asymptote, if any, of the graph of the rational function. 14x h(x)%D 4x2 +9 Sele...

A: The given function is hx=14x34x2+9.  

Q: Trigonometric integrals Evaluate the following integrals. ∫cot5 3x dx

A: Evaluate: ∫cot53xdx  

Q: zoom for a better view

A: Given  $2700 is deposited quarterly for 20 years at 4% per year.  

Q: the roots of 1000pi*cos(pix/6) from [0,12] i know its 3 and 9, but how do i calculate it

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Q: Find an equation of the line tangent to the graph of f(x) at the point (5,9): f(x) = e-3x-1o + 8

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Q: Use the Table of Integrals to evaluate the integral.

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Q: Consider the following. h(x) = x Vx – 7 - 7 Find the critical numbers. (Enter your answers as a comm...

A: Given function: h(x)=xx-73 To find out critical numbers, take derivative and then set it equal to 0 ...

Q: Calculus Question

A: Rt=25.395e-0.984t+5.42   14≤t≤6 a). To find the height, integrate the rate of growth function with r...

Q: Simplify : (2/7)0-32-2/5

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Q: A. Find the arc length of the curve c(t) = (x(t),y(t)) = (sin(3t), cos(3t)) for 0 les or equal to t ...

A: Given the curve we need to find the arc length in the interval 0 les or equal to t and less or equal...

Q: Calculus Question

A: The length of equal sides of the isosceles triangle  l=5cm angle between these two sides =θ+θ=2θ Are...

Q: A rectangle's length L(t) and width w(t) (measured in inches) are varying in time (?, in minutes). D...

A: A rectangle's length L(t) and width W(t) (measured in inches) are varying in time. Area of rectangle...

Q: Draw the angle -2π/3 in standard position.

A: To Draw: Angle -2π3 in a standard position. Concept: i. Co-terminal Angle: Co-terminal angles are an...

Q: Let f(x) = √x and g(x) =2-x/2 Find f(g(x)) and write its domain in interval notation.  a) f(g(x...

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Q: I need help with question 1 of the atachment thank you

A: Given that the domain of the graph is (-4,∞) limx->-4+f(x)=3 when x approaches from the right of ...

Q: Sketch the curve represented by the parametric equations x = 6 cos θ, y = 6 sin θ (indicate the orie...

A: The curve represented by the parametric equations x = 6 cos θ, y = 6 sin θ. We need to Sketch the cu...

Q: An irrigation system uses a straight sprinkler pipe r = 500 ft long that pivots around a central poi...

A: Area of a section of circle = R22θ Where θ is a subtended angle in radians, R is the radius. 

Q: d {e® + e=®} dx Find

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Q: dy d {-3xy} in terms of x , y , and dx y is a differentiable function of x . Write dx

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Q: Multiply: (7x + 5 + 4y)(7x + 5 - 4y)

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Q: Use the given graph to estimate the value of each derivative. (Round all answers to one decimal plac...

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Q: Evaluate lim f(x) and lim f(x) for the rational function. Then give the horizontal asymptote of f (i...

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Q: decide if the given statement is true or false,and give a brief justification for your answer.If true...

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Q: Evaluate ∫sec3 x dx.

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Q: We are standing on the top of a 1520 feet tall building and launch a small object upward. The object...

A: Given the vertical position of the object , measured in feet after t seconds is, ht=-16t2+224t+1520

Q: Express f(x) in the form a(x − h)2 + k. f(x) = − 3/4x2 + 15x − 77   f(x)=?

A: Given: f(x) = − 3/4x2 + 15x − 77 -------------------------------------------------------------------...

Q: Compute the following double integral over the indicated rectangle (a) by integrating with respect t...

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Q: The rate of change of the value of goods exported from a country between 1990 and 2001 can be modele...

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Q: Simplify exponential expression. (4x3)-2

A: According to the question, we have to simplify the exponential expression 4x3-2. As the expression i...

Q: Compute the quotient and the remainder of (3x – 8x² – 36x + 5) ÷ (x – 5)

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Q: From this graph, find the following intervals. (photo attached below)

A: Given:      

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.