Question # 4 a) Modify the quadratic form Q(x) = -3xỉ + 5x – 2x1x2 into one with no cross-product term. Also, find the maximumum value of Q(x) subject to the constraint x + x = 1.

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A: Given, g(w)=(e2w+ew)(ew) First of all simplify the given expression, g(w)=ew(ew+1)ew=ew+1   ...........

Q: Evaluate the definite integral. 3. Vx2 dx

A:

Q: Evaluate the integral.  integral  t  3sin 2  t dt

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A: Given:           ∫θsec2θdθ

Q: A particle moves along the x-axis so that at time t\ge 0t≥0 its position is given by x(t)=t^2-5t-49....

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Q: Convert the polar equation r cos (θ + π/6) = 8 to a rectangular equation. Then determine the graph’s...

A: Consider the given: rcosθ+π6=8rcosθcosπ6−sinθsinπ6=8rcosθ32−sinθ12=8rcosθ32−rsinθ12=8Let rcosθ=x​​ a...

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A:

Q: True or false? if f'(x)&gt;0 for all real x values, then the limit as x goes to infinity of f(x) = i...

A: Definition used -          Point of inflection -           At the point of inflection f''(x)=0      ...

Q: Consider the following system of equations. X1 - X2 + 3x3 = -4 2x1 + -2x1 X2 + 2x3 = -10 2x2 + X3 = ...

A: the given system of equations is: x1-x2+3x3=-42x1+x2+2x3=-10-2x1-2x2+x3=15 (a) we have to write a ma...

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Q: Use the definite integral to find the area between the x-axis and f(x) over the indicated interval. ...

A: Area=∫ab(upper curve-lower curve)

Q: Find (a) (f + g)(x), (b) (f – g)(x), (e) (f · g)(x), (4) (4) (x). What is the domain of (d)? 1) f(x)...

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any ...

Q: In your own words, state the Division Algorithm ?

A: To state: Division algorithm.

Q: A right triangle XYZ is shown above where ∣XY∣ = z and ∠X = θ. Line segments are continually drawn t...

A: Given image,  XY=z∠X=θ now, ∠XYY1=90-θ YY1=zsinθ from this length we can calculate all distance. x1y...

Q: Differentiate.

A: we have to differentiate y=tan-1sin-1x

Q: Two 2 x 2 invertible matrices can have a matrix sum that is not invertible.Determine whether the sta...

A: ''Two 2 x 2 invertible matrices can have a matrix sum that is not invertible''. We have to determine...

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A: 1) Given, f(x)=x2 at x=3 Use the definition of instantaneous rate of change: The instantaneous rate ...

Q: The formula gives the viewing angle, θ, in radians, for a camera whose lens isx millimeters wide.Fin...

A: The given formula for the viewing angle is θ=2tan-121.634x where, θ is the viewing angle and 'x' is ...

Q: A rectangle has a length of 7 inches and a width of 8 inches whose sides are changing. The length is...

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Q: Convert the polar equation r = 3 to a rectangular equation. Then use your knowledge of the rectangul...

A: Given r=3 To graph  the polar equation in a polar coordinate system.

Q: A rectangular field is fenced off, an existing wall being used as one side. If the area of the field...

A: Suppose that the length of field is “L”, and width of field is “W” then, The total area of the is 72...

Q: Solve the rational inequality: (x + 3)(x - 2)/(x + 1) ≤ 0and graph the solution set on a real number...

A: To solve the inequality: x+3x-2x+1≤0. Finding the points where function is zero or undefined. x+3=0⇒...

Q: Inverse laplace transform of the attached image

A: The given function is  F(s) = 16/s5 - 3/(2s2+1) +1/(3s+4)

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A: It is known that the function is concave up if f''x&gt;0 and concave down f''x&lt;0. Also when f''x&...

Q: Fill in the blank by writing the letter of the technique (a through g) for factoring the polynomial....

A: Given polynomial is 4x2+8x+3. To factorise the given polynomial. Factorising the given polynomial. 4...

Q: What is the magnitude of a vector joining two points P(x1, y1, z1) and Q(x2, y2, z2)?

A: The two points  are : P(x1, y1, z1) and Q(x2, y2, z2). As the vector is directed from point P to Q ,...

Q: Calculus Question

A: The interval indicated by the table is, x 3 4 5 6 8 11 f(x) 12 4 3 2 1 2

Q: Use the Leading Coefficient Test to determine the end behavior of the graph of the polynomial functi...

A: Consider the provided function, fx=-11x4-6x2+x+3 Use the Leading Coefficient Test to determine the e...

Q: x2 – 16 This Graph of f(x) = %3D x – 4 4, but the function is undefined at x = limit as x → 4 exists...

A: Given function is fx=x2-16x-4. We know that a rational function is defined if it's denominator is no...

Q: Find the derivative of the function by the limit process. f(x) = x3 − 2x + 1

A: Given function is fx=x3-2x+1. From the definition of derivative, we have f'x=limh→0fx+h-fxh Using th...

Q: 29-) A(-d3,1)

A:

Q: A decimal approximation for π is 3.141593. Use a calculator to find 23, 23.1, 23.14, 23.141, 23.1415...

A: A decimal approximation for π is 3.141593. Use a calculator to find 23, 23.1, 23.14, 23.141, 23.1415...

Q: The line graphs show the percent body fat in adult women and men as they age from 25 to 75 years.The...

A: Given that, the percent body fat p(x) is represented by the following equation: p(x) = -0.002x2 + 0....

Q: Use substitution and partial fractions to find the indefinite integral.

A: To Determine: Use substitution and partial fractions to find the indefinite integral. Given: we have...