Show that the points A(8,-1,0), B(0, 1, 1), and C(2, 1, -3) are non-collinear.

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Q: If P(x) = 5x – 7, Q(x) = 3x² + 5x + 6, and R(x) = 7x² + 6, find the following: (a) R(x) + Q(x) = (b)…

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Q: 7. State the domain and range of each function. A) ƒ(x)=(x−1)²

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Q: 2-y If x = 32, find 2y 4. y+2 2y√ √2y B. dx B. Find y' if y = 4x-1 y-2 2y√ √2y (2x²-3)(3x+2)…

A: We can answer both the question in the below steps.

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Q: Consider f(x)=5x-3-41/x^2 c) Find the equatino of the tangent line at x = 2 to the graph of y =…

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Q: 1. The lim x² - 1 1 x 1 x 16 x = 1. GUI = 2. Justify why is this so even though the function is not…

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Q: when solving for the slope of the secant line how did you solve that ?

A: To be explained : Calculation of slope of Secant line

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Q: 9. Let P denote the line segment from (1, −3, 1) to (−5, 3, 8). Compute Sp xy - z dr.

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A: GIven function :- y=3ex+8x3

Q: Classwork. 4: Describe the sequence of transformations from the parent function f(x)=√x. g(x)=-3√x-2…

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Q: Subtract (4q - 8) from the sum of (3q² – 7q – 4) and (6q² + 6q − 2).

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Q: If y = sin(x - y) find y'. A. cos(x-y) 1+cos(x-y) B. cos(x-y) 1-cos(x-y) C. cos(x - y) D. -cos(x -…

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Q: If x= find dx y+2 2y/2y 4. B. B. Find y' if y = (2x2-3)(3x+2) 4x-1 48x³-2x²-8x+15 (4x-1)²…

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Q: iv. f/6(sec²(x)) dx

A: Integration

Q: 1. Three vectors in space are given as K = 3x + 2y + 42 L = 2x - 3y + 2 M = -x - 4y in cartesian…

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Q: A. dne 3x5-4x²+1 X-00-7x³+x2+2 B. 0 Evaluate lim A. R The domain of y log(1-2x) is B. (-00, C., +00)…

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Q: Evaluate the definite integral. [/4 sin(t) dt cos (t)

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Q: Find y' if y= 48x³+34x2-8x+15 (4x-1)² 48x³+34x²-8x+33 (4x-1)² If y = 3u² - 2u + 4 and u = x² + 3x -…

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Q: B. 10/3 square units

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Q: 2.  Evaluate the integral. 7 5 dx (x − 6)2   please hsow step by step clealry

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Q: show complete solution

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Q: If y = (5 + x5 +¹³, then y' is A. (5 + x² +¹³ (5x¹¹2) +3 B. (5 + x² + ²)² (5x+) c{(5+x+) (5x + a) D.…

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Q: Evaluate the integral using integration by parts with the indicated choices of u and dv. (Use C for…

A: A detailed solution is given below.