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Calculus

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Q: lim x→5 f(x) where f(x)= { 7x-10 if x<5; 25 if x>=5

A: To find the limit x->5 f(x), we have to find the right and left limit of x=5 first.

Q: a. find the critical points of f on the given interval b. Determine the absolute extreme values of f...

A: Given information:The given function is .

Q: Maximize f(x, y, z) = 2x + 7y +9z on the sphere x + y+z = 67. Additional Materials eBook

A: f(x,y,z) = 2x + 7y + 9z and g(x,y,z) = x2 + y2 + z2 Approach:We will make use of the method of Lagra...

Q: Activity 5 Inverse Functions and their Derivatives 10. When a camera flash goes off, the batteries i...

A: Given:The function is Q(t) = Q0(1−e−t/a), where t is the time in seconds and Q0 is the maximum char...

Q: Need help with D, E, and F. Anser A- h= 17.92/(pi)r^2 Answer B-S(r)= 35.84/r + (pi)r^2 Answer C- S'...

A: Given information:The surafce area of the baking powder is shown below:

Q: The beginning of the question is attached. How do I argue that f(x) is concave if and only if g(x)=...

A: A function is concave or ceonvex is defined by the sign of its double derivative.A function is conve...

Q: Help with #7

A: Given information:The equation of the curve is

Q: Fourier's Law of heat transfer (or heat conduction) states that the heat flow vector F at a point ...

A: Given that,

Q: 13. The cost of producing x ounces of gold from a new gold mine is C= f(x) dollars. (a) What is the ...

A: Given cost function is:Cost of producing x ounces.