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Calculus

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Q: Suppose that a gallon of paint that covers 250 square feet of wall costs $32.50. For each paint orde...

A: The cost of paint covering 250 sq feet wall = $32.50 The cost of covering 1 sq feet of wall = $32.50...

Q: Let f (x) = x - e² *. Use f'(x) to find the following: (a) all critical points (b) the intervals on ...

A: Given that the function: fx=x·e2x Differentiate the given function with respect to “x” To apply the ...

Q: Not sure if I did this right and how do I solve for the rest?

A: Given functions are fx=-x2+3x+4 and gx=-5x-6. (a)To find f0, put x=0 in fx f0=-02+3·0+4=4 (b)Now put...

Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) 15e30r...

A: Let, z=e15xdz=15e15xdxdx=dz15e15x Then we substitute it in the given integral ∫15e30xarctan(e15x)dx=...

Q: question attached. Thank you in advance

A: Given vector is U=-4i+3j+7k The magnitude of the given vector is U=-42+32+72 =16+9+...

Q: How am I suppose to find the derivative of this?

A: g(x)=ex2sin-1x We need to find the derivative of the given function.

Q: Calculate the derivative by expanding or simplifying the function s(t) = 1 - 2(7t) / (7t)^1/2 ds/dt ...

A: Given:s(t)=1-2(7t)7t

Q: Graph the shown function. Then use your graph to find the indicated limit, or state that the limit d...

A: The graph of the function is shown below:

Q: Use the definition of continuity to determine whether f(x) = 2x + 5 at a = 1.

A: Given function is fx=2x+5.