Apply Gauss Divergence theorem for F = x2i+ y²j+z?k over the cuboid bounded by 0

Q: Evaluate the integrals.

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Q: Solve for y: Ax + By = Cy + D.

A: Given Data The equation is Ax+By=Cy+D.   Evaluate the equation Ax+By=Cy+D by rearranging the variabl...

Q: The value of the instantaneous velocity at t = 1 is

A: Consider the position function To calculate the instantaneous velocity  

Q: Consider the parametric equations x = 8 cos t and y = 8 sin t. (a) Describe the curve represented by...

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Q: 3. Consider 3x3 matrix A the 1 A て 1. レ Colculate the adjoint matrix

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Q: find the specific function values. ƒ(x, y) = x2 + xy6 ƒ(-3, -2)

A: Given function:

Q: Use the graph of f in the given figure to draw the graph of its inverse function ?

A: For the inverse function, the coordinates of f(x) will reverse.  So the coordinates on the inverse f...

Q: Evaluate the definite integral.

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Q: Fill in the blank/s: If sin 0.9695 ≈ 0.8246, then the solutions of sin x = -0.8246, 0 ≤ x < 2π, a...

A: We know that sin is negative in the third and the fourth quadrant.    Given that sin 0.9695 ≈ 0.8246...

Q: Computing the derivative of ƒ(x) = e−x

A: Given function is

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of...

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Q: Using vectorsProve that the diagonals of a parallelogram bisect each other

A: Using vectors we need to prove that the diagonals of a parallelogram bisect each other.  

Q: Explain how to find the least common denominator for denominators of x2 - 100 and x2 - 20x + 100 ?

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Q: Use substitution to determine whether the given x-value is a solution of the equation: cos x = sin 2...

A: We plug x=π/3.

Q: Calculus Question

A: Given: The concentration of a drug in bloodstream follows the function: (a). To find: The time when...

Q: Refer to image

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Q: Fill in the blank/s using the word sum, difference, product, or quotient : The formula cos * + cos *...

A: So, this formula changes the sum of two cosines into the product of two cosines.   

Q: Think About It WVhat is the minimum degree of the polynomial function whose graph approximates the g...

A: Given data:   a) As the graph of the polynomial function touches x at 0 then, it further moves in th...

Q: If f(x) = x' + 1, then (a) the value of f at x = -1 is f(-) = (b) the value of f at x = 2 is f() = (...

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Q: Find the derivative of h(x) = (3x − 2x2)(5 + 4x)

A: We first expand h(x)  

Q: The plane x + y + z = 1 cuts the cylinder x2 + y2 = 1 in an ellipse. Find the points on the ellipse ...

A: The plane x + y + z = 1 intersects the cylinder x2 + y2 = 1 in an ellipse. Find the points on the el...

Q: Use the attached graph to a. determine the x-intercepts, if any; b. determine the y-intercepts, if a...

A: a) The graph cuts/touches the x-axis at x=-2 and x=1  So, x intercepts are x=-2 and 1   Answer(a): ...

Q: Use a change of variables or Table toevaluate the following indefinite integrals. Check your work by...

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Q: Find f(g(x)) and g( f(x)) and determine whether each pair of functions ,f(x) = 4x + 9 and g(x) =(x -...

A: We find f(g(x)) and g(f(x))

Q: Derivatives with general logarithms Compute the derivative of the following function

A: We use the change of base property of log. Then we use the chain rule of the derivative. 

Q: Find the derivative of: 2sqrtx + 9/x^3

A: To Determine: Find the derivative:                                  

Q: Factor: x2 + 6x + 9

A:  We multiply the leading coefficient 1 with the constant 9. So 9. Then we factor 9 so that the sum o...

Q: Areas of regions Make a sketch of the region and its bounding curves. Find the area of the region.

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Q: Evaluate∫cos 6x dx without using the substitution method.

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Q: Find the standard form of the complex number 6(cos 17°26' + isin 17°26'). Round values to the neares...

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Q: Find the volumes of the regions. The tetrahedron in the first octant bounded by the coordinate plane...

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Q: Two straight roads diverge at an angle of 45°. Two cars leave the intersection at 2:00 P.M., one tra...

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Q: Use the graph of y = f(x) to graph the given function g : g(x) = f(2x)

A: Given that g(x)=f(2x). This means f(x) shrunk horizontally by 1/2.  

Q: Determine whether the following series converge absolutely, converge conditionally, or diverge.

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Q: Slant asymptotes a. Analyze lim f1x2 and lim flx2 for each function. b. Determine whether f has a sl...

A: Given equation,  

Q: Simplify √27 ?

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Q: The mad Dr. Frankenstein has gathered enough bits and pieces (so to speak) for 2-1 + 2-2 of his crea...

A: Dr. Frankenstein has gathered bits and pieces is,

Q: A car travels along a straight road, heading east for 1 h, then traveling for 30 min on another road...

A: Given, A car travels along a straight road, heading east for 1 h, then traveling for 30 min on anoth...

Q: Refer to the image

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Q: Refer to image

A: Use the partial fraction to separate out the terms, then integrate the terms separately.

Q: Use (a) the Trapezoidal Rule, (b) the Midpoint Rule,and (c) Simpson’s Rule to approximate the given ...

A: Given 

Q: for 1 < x < 3 f(x) = 16 for 3 < x <7 otherwise. Calculate the median value of X. Give your answer to...

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Q: Refer to image

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Q: Two integration approaches Evaluate ∫cos (ln x) dx two different ways:a. Use tables after first usin...

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Q: The graph of f -1 is a reflection of the graph of f about the line whose equation is_________.

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