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Find the range of values of k for which x²+kx-3k<5 for some x, i.e. the curve y=x²+kx-3k goes below y=5

We know that x²+kx-3k-5&lt;0 for some x for the values the k that we are trying to find.This will only occur when the curve has two distinct intersections with the x-axis. There are two distinct intersection...
PS
Answered by Peter S. Maths tutor
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In regards to kidney function, describe the processes involved in an individual who is well hydrated.

The water potential of blood rises. This is detected by osmoreceptors in the hypothalamus in the brain. This detection stimulates less ADH to be released. ADH is Antidiuretic Hormone. It’s role is to alter m...
GT
Answered by Grace T. Biology tutor
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Estimate the radius of the moon based on a solar eclipse given the distances between the earth and the moon, the earth and the sun, and the radius of the sun.

A diagram showing the moon directly between the earth and the sun is key here. If we call the radii of the sun and the moon r s and r m and the distances from earth D s and D m. respectively, there are simil...
AM
Answered by Alastair M. PAT tutor
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Explain Anselms ontological argument for the existence of God.

Anselm's ontological argument holds that God must necessarily exist, by definition. This is an a priori argument, meaning that its conclusion is reached through purely deductive reasoning, not relying on any...
CB
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The equation of the line L1 is y = 3x – 2 The equation of the line L2 is 3y – 9x + 5 = 0 Show that these two lines are parallel.

Line 1 : y = 3x -2. Equation of a line general formula : y = m x + c , where m = gradient. Therefore, for y = 3 x - 2, m = 3 and therefore the gradient = 3. Line 2 : 3y - 9x + 5 = 0. Need to get into the gen...
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Answered by Emma M. Maths tutor
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