f'(x)=(x-2)(x+2)(x+4) Find the local max and min. Find the intervals of increase and decrease.  Graph.

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A: Properties of Similar triangle: Corresponding angles are equal Corresponding Sides are Proportional...

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A: If a point is on the y-axis, its x-coordinate must be 0. To determine whether the statement is true ...

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Q: y′′ + 2y′ − 8y = 2e-2x − e−x , y(0) = 1, y′ (0) = 0.

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Q: 3. For f(x) = /2x compute the slopes of the secant lines from 16 to each of 16± 0.01, 16 +0.001, 16 ...

A: When x = 16, f(x) = f(16) = √(2 x 16) = 4√2 =  5.6569  hence, slope of the secant line from (16,  5....

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Q: Define the six trigonometric ratios in terms of the adjacent and opposite sides and the hypotenuse.

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Q: Plot the point whose polar coordinates are given. Then find the Cartesian coordinates of the point. ...

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Q: please help me find the indefinite integral

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Q: Factor and simplify  algebraic expression. (x2 - 4)(x2 + 3)1/2 -(x2 -4)2(x2 +3)3/2

A: We first factor the terms with smallest exponents

Q: in the picture

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Q: Evaluate the iterated integral 1∫02∫1xydydx.

A: We first integrate with respect to y  

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Q: Graph the given square root functions,f(x) = √x (x = 0, 1, 4, 9) and g(x) = √x + 2 (x = 0, 1, 4, 9),...

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Q: (a) Show that $\Sigma_{n=0}^{\infty} x^{n} / n !$ converges for all $x$(b) Deduce that $\lim _{n \ri...

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Q: Calculus Question

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Q: Find the radian measure of the angle with the given degree measure. Round your answer to three decim...

A: Degree measure is,

Q: Find the indefinite integral

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Q: Use Poiseuille's Law to calculate the rate of flow in a small human artery where we can take n = 0.0...

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Q: 33 please

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Q: 2s - 88 7s - 28s + 280

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Q: In the picture

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Q: (x– 3)dx J (x² + 2x+ 4)²

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Q: Q3) The triangle ABC in a room as in the following sketch, which has the equation 6x + 8y + 3z = 15....

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Q: What are the real constants called?

A: Real Constant

Q: Find the limit

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Q: A man is lying on the beach, flying a kite. He holds the end of the kite string at ground level and ...

A: A man is lying on the beach, flying a kite. He holds the end of the kite string at ground level and ...

Q: Find the indefinite integral. ∫( (√1 − x2) / x4) dx

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Q: Activity 2: Use partial fractions to compute each integral. Must work the integrals out by hand and ...

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Q: For the function given  find (f(x+h)-f(x))/h f(x)=2x2+4

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