12. Discuss the continuity of the function g(x) x²-4 on the interval [-1,2].

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Q: 2) Suppose that f(3) = 2.5, g (3) = 5, f' (5) = 2.7, f' (3) = 6.2, g (3) = -4, and g' (2.5) = 8. Let…

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Q: Q2: Use the substitution x² = sing to show that 1 √ √ ² x dx = [] 4√2TE

A: See this solution in below.

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Q: 2. Divide 20 into two parts. Find the two positive numbers if: (a) their product is a maximum; (b)…

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Q: 4. y = log2 (5x³ - x² + 1)

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Q: Find the derivative of the function. q' = 3/ 7 q=√x + 3x

A: Solution

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Q: • The domain off is (-∞, +∞0) •f (5)=-2 • x intercepts are -7, -5, -3, 0, and 3 • limf(x) = 0 x+5 •…

A: To Find: Create a function that satisfies all the conditions.

Q: Find

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Q: What is the integral of x(x + 2) dx? A. x³/3 + x² + C B. x³/3 + x²/2 C. (x+2)2/2 D. x³/3 + x²/2 + C

A: Topic = Integration Correct option = A

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A: We need to find volume.

Q: Evaluate lim X-700 lim X-700 lim the limits 44X 1-5X 2x+5 10x²-3x+5 2x3-7x²-11X 11-10X-9x3

A: Since you have posted multipart questions i can do first three subparts as per our company…

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Q: Q3/ Use the l'Hopital's rule to find the limits 1) lim X-0 sinx-x x3

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Q: Find the General Solution G.S. 1. (cosx cosy - cotx) dx - sinxsinydy = 0

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Q: The adul dicts that the adult population of the town will increase by 4% each year, ming a geometric…

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Q: 1. Use separation of variables to find an explicit form of the solution to the following ODES. Do…

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Q: which of the following is a function? x2-(y/5)2 =12 9= cos y + 2sin2x cos 2x - y=7 |7-y| = 4y

A: A function is a kind of rule that, for one input, it gives you one output.An example of this would…

Q: Find the first derivative of the function f(x) = √√5-7x. A. 5 2√5-7x B. 6 2√5-7x C. 7 2√5-7x D. 8…

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Q: Use the theorem given below to find the curvature of r(t) = tj + tk. k(t) = Theorem: The curvature…

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Q: Find an equation of the line that passes through the point (-1, -2) and is perpendicular to the line…

A: Let's find equation of line.

Q: 3. A flag is raised vertically from a pole at a constant rate of 0.5 m/s. A point B on the ground is…

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Q: 31. n=1 1 Inn

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Q: efine the function f(x) = 3x + x 8x at 0 so as to make it continuous at 0.

A: Given function f(x)=3x3+x8x. Clearly it is not continuous as x=0

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Q: Find the equation of the tangent line to the curve at the given point (4,57) y= x3-2x+1

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