Find u (v x W). u = (3,3,3) (5,9, 0) V = w = (0, 0, 3)

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Q: Find two positive numbers x and y such that xy = 162 and 6x + 3y is minimized. X = y =

A: Given:          xy=162         s=6x+3y

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Q: 1- Compute dy/dx, tan x a) y = xt

A: Note:Since you have posted multiple questions we will solve the first question for you. If you want…

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A: The projection vector p of vector v onto vector w is given by ..........(1)Now,

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Q: FIND dy/dx of y = ln(arccosx)

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Q: Problem 16. Find all CP of f(x) = arcsin x-2x. Note that

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Q: 1 If sin(x) = and x lies in quadrant I, find tan(). Esc 70 O 2-√3 82°F Windy tomorrow F1 7 O √2 الله…

A: Given: sun(x)=1/2 and x is in first quadrant.We have to find the value of tan(x/2)

Q: 5 Calculate XKYK for the n = 5 data points (X₁,Y₁ ) = (2,4), (×2,Y₂) = (3,5), (×3,√3)= (4,8),…

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Q: Find the eigenvalues of the symmetric matrix. (Enter your answers as a comma-separated list. Enter…

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Q: Determine whether the matrix is orthogonal. P = 2 I ~/3 2/3 ~/3 ا ~/31/32/3 ~/3 ~/3 N/M 2 1 12 2 3

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Q: Show that the function f(x) = x + 5x + 1 has exactly one zero in the interval [-1, 0]. Which theorem…

A: Given functiin is f(x) =x4+5x+1.Now to check there is any zero in the interval [-1, 0] we use…

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Q: 4 (6) Find the derivative y' for the Following function 2x 1) Y = √₂²² sin (e²-1)dt 2y=1-cos (x ²-2)…

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Q: how did you get x=100 and y=300 at the end

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Q: Let f(x) = 2x² + 8x − 5. a. Find the values of x for which the slope of the curve y = f(x) is 0. b.…

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Q: Find the standard matrix for the linear transformation T. T(x, y, z) = (5x - 7z, 7y - z)

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 1. (1)"zin n! 2. 3. ∞ Se 5. 8,888 n=0 n=0 -0 A. er B. e4 4c" n! 4.2 (1) n0 S n=0 (-1)"4x2n+1 2n + 1…

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Q: for part b for the partial derivatives, how did you get 6K–1/2 L1/4 – 1.2 and 3K1/2 L–3/4 – 0.6,…

A: The solution is shown below-

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Q: 3 The slope of the tangent of the function f (x) = + 3x at x=2 is I 9/4 -5/4 -5 5

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Q: Use derivatives to determine where f(x) = 2x^3 - 9x^2 + 12x - 3 (a) where the function is increasing…

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Q: Use the Law of Cosines to solve the triangle. Round your answers to two decimal places. a = 75.8, b…

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A: we need to draw a sketch of the equation

Q: (a) x® (d) 2x7 ex (b) e¹ (c) x² √√x³ (e) x+1

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Q: 17. r(t) (te, 2 arctan 1, 2e¹), 1-0

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Q: 3. Find an equation for the tangent line at the given point. x+x²) ¹⁰, y = (1 + x + (0, 1)

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Q: Find the intervals on which f is increasing and the intervals on which it is decreasing. f(x) =…

A: The given function is,

Q: X The function f is defined by f(x) = +2 What points (x,y) on the graph of f have the property that…

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Q: 38. Find the derivative of the function: f(x)=√x5-11

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: Find all solutions to the equation: csc²(x) - 6cot(x) = -4.

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Q: Solve the following equation for c. 11-c-x-1-x²-y 0 0 C dx = dz dy dx = 4 15

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Q: 2x If ƒ (x) = e²x (x³ + 1), then ƒ¹ (2) =

A: If , then to determine .

Q: Find A. A = (4A)−¹ = || 28 [²8] =

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Q: Use the following function and its graph to answer parts (a) through (d) below. Let f(x) = 5-x, x3.…

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Q: 5 True or falce: F F(x) = f(g(x)) and f'(2) = -1³ 3 given that (9): 2, g'(a)=3, f'(9) = 3 こ

A: The given values are  and .We have to determine whether the statement is true or false.

Q: Use the Law of Sines to solve the following triangle for a . Approximate your answers to the nearest…

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