11. a) By solving some equations with some unknowns, determine whether it is possible to write [5, -10, 1] as a linear combination of [4, -8, 4] and [-3, 6, 3], and if it is indeed possible, write the linear combination. 11b) Explain what your result in a) shows about the coplanarity of the 3 vectors.

Q: a. Find the Jacobian of the transformation x = 4u, y = uv and sketch the region G: 4 s4us 8, 1…

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Q: |f''(x)| expresses the curvature x(x) of a [1 + (f'(x)) ²2] ³/² curvature function of the following…

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Q: 5-6 Sketch the area represented by g(x). Then find g'(x) in two ways: (a) by using Part 1 of the…

A: Sketch the area represented by g(x) . Then find g'(x) intwo ways: (a) by using Part 1 of the…

Q: determine convergence or divergence using any method covered so far.

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Q: 1 1 21. cos + cos + cos +.. 1 - 4

A: Use the nth Term Divergence Test to prove that the following series diverge.cos(1/2) + cos(1/3) +…

Q: dw Evaluate at (u,v)=(5,1) for the function w(x,y) = xy-y²; x = u-v, y= uv. ди OA. -1 OB. 9 OC. 4 O…

A: Put

Q: Determine the vector, parametric, and symmetric equations of the line passing through the point A(7,…

A: Given:We are required to find:

Q: b. SET-UP only the definite integral using cylindrical shell method that will give the volume of the…

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Q: Find of/ox and af/ay. f(x,y)=3x3 Зу ?x af ду 11

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Q: x Q2// Find the second derivative of y = (x³ +) 3 x

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Q: 3x²+6 lim *+-∞ 5-2x

A: Given data

Q: Use a graph or level curves or both to find the local maximum and minimum values and saddle point(s)…

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Q: S x cos 2x dx

A: We are required to find:

Q: |f''(x)| [1+ (f'(x)) 2] 3³/² function of the curve y = -9 sinx, 0≤x≤2. Then graph f(x) together with…

A: The function is

Q: any method to determine the selles converges or diverges. Give reasons for your ans (n + 2)(n+1) n!…

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Q: Define f(0,0) in a way that extends f to be continuous at the origin. -In ( 13x² - 2/2 + 13y²] x² +…

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Q: Solve the following. Identify any separate piece of paper to be tur x-(3)/(x+1)=(3x)/(x+1).

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Q: 1. Describe in words the region of R³ represented by the equation or inequalitie (a) -1<r<5

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Q: Analyze and Construct the graphs of the following functions: For each of them determine: The…

A: Given is the function and we have to table the values, plot it anddetermine domain and codomain.

Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y)= 6 Select the…

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Q: 1 n=3nln n-n K

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Q: Find the equation for (a) the tangent plane and (b) the normal line at the point Po(2,0,2) on the…

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Q: Compute the discriminant D(x, y) of the function. ƒ(x, y) = x³ + y4 − 6x − 2y² + 2

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Q: Change the Cartesian integral to an equivalent polar integral, and then evaluate. In 3 √(In 3)² - y²…

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Q: Find the equation of the tangent to the curve y = (x − 2)√√√x² +9

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Q: Integrate the function f over the given region. f(x,y) == over the square 5 ≤x≤7, 5 sys7 xy

A: The given function is:

Q: derive the formulas for the derivatives of the inverse trigonometric functions

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Q: Integrate the function f over the given region. 1 f(x,y) = over the square 6 ≤x≤ 10, 6≤ y ≤ 10 xy

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Q: 31. Σε n = 1 ern

A: The given series is summation of e-n, n from 1 to infinity. Find the series is converges or…

Q: (a) Find the center and radius of the sphere defined by x² + y² +2²-8x + 2y + 8 = 0. (b) Find the…

A: A sphere is object that is 3-D analogue to a 2-D circle. If its center at the point (a, b, c) and…

Q: option

A: Solving the problem

Q: (3) Compute the value of Ay and the value of dy for the function below; f(x). Let the variable x go…

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Q: Find the area between the parabola y = x² and the line y = 3x - 2. First calculate the intersection…

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Q: A function y = f(x) passes through the origin. If the second derivative y" = −sin (2?), determine…

A: Given function y=f(x) passes through origin.The second derivative y''=sin(2x)

Q: Assume that the recursively defined sequence converges and find its limit. a₁ = -4, an+1 = √√8+2an…

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Q: You will integrate the following rational function: 20x+5 da S (x-7)(x²-4x+8) To do this, start by…

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Q: Find the average value of the function

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Q: Express the area of the region bounded by the given lines as an iterated double integral. The lines…

A: To express the area of the region bounded by the given lines as an iterated double integral.The…

Q: Find the indefinite integral. (Use C for the constant of integration.) -7 (x? + +7)3/2 dx

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Q: To produce x units of a religious medal costs C(x)= 12x+63. The revenue is R(x) = 33x. Both cost and…

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Q: f(x) = X 2 (1 +4x) www

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Q: ¬ f(x, y) = −1+7x − 6x² - 7y+5y² -

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Q: 12) dx tanu dk 13) -6-2t+3K-Kt dt

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Q: 1. Classify the following as TRUE or FALSE. a. All integers are rational. b. If a number is…

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Q: The sales of a small company were $25,000 in its second year of operation and $55,000 in its fifth…

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Q: detremine a reduced fractions that has this deminam exapnsion  0.313131...

A: The given expression is:

Q: The decay constant of Fermium-100 is 2.47 inverse-years. What is its half-life?

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Q: 23// The curves y = ax² + bx+c and y common tangent line at the point (1, 0). Find a, b, and c.

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Q: 23. (In x)² dx

A: We are required to find: