Q7. If a beam of light that has intensity k is projected vertically downwards into water, its intensity I(x) at a depth of x metres is given as I(x) = ke-14x. At what rate is the intensity changing at a depth of 3 metres? What does the sign of the solution represent?

Q: -f=-9i+40j Find: -9f

A: Given vector: To find :

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Q: f = -9i+40j Find: -9f f=i-j g=12i+ 3j Find: -4f-10g u = -9i+4j Find: -5u

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

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A: The expression given is,

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A: Given:We are required to find:

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A: To find the formula for the total distance traveled by an object with a velocity  on the interval .

Q: Compute the first partial derivatives of the following function. f(x,y)=4- tan¹ (9x² + 2y²) x=0

A: GivenTo calculate first derivative for the function   f(x,y)=4-tan^-1(9x^2+2y^2)

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A: In this question , we will integrate .

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