calculus

posted by .

I'm not sure where to start on these two problems, so any help is greatly appreciated.

1)4^x = x^2

2)5-x^2 = e^x

  • calculus -

    I suggest a numerical approach, namely graph each side of the equation, and from the intersection point(s), do successive approximation using Newton's or other methods.

    For (1), x=-0.64 approx., and for (2), there are two solutions, at x=-2.2 and x=1.3 approx.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. calculus

    I have to help teach this class tomorrow for my Senior Seminar Math class. The lesson is over Exponential and Logarithmic Functions and L'Hospital's Rule. I have all the problems needed to review this lesson, but i can not solve any …
  2. math

    evaluating functions For some reason I can't get these 3 problems correct: g(x) = x^2(x-5) g(3/2) g(c) g(t+2) Any help would be greatly appreciated. I contribute as much as I can and I don't seem to get any help. Maybe these are too …
  3. Calculus

    Show that f is continuous on (-infinity, infinity). f(x) = x^2 if x<1 and the square root of x if x is greater than or equal to 1. I'm not entirely sure how to start this. Help is greatly appreciated :)
  4. Statistics

    Two problems: 1. Find D sub 3 of the following data set: 60, 40, 26, 33, 23, 53, 36, 23, 28, 12, 30, 47 2. Find P sub 26 of the following 25 scores: 38.5, 41.5, 52, 52.5, 61, 63, 63.5, 68, 69, 69, 78.5, 79, 80, 83, 87, 88.5, 88.5, …
  5. another rotation

    A hollow cylinder (hoop) is rolling on a horizontal surface at speed v = 1.85 m/s when it reaches a 23.5° incline.How far up the incline will it go?
  6. calculus

    Write the complex number -4 x 3^1/3 - 4i in exponential form. I'm not sure how I use euler's formula to solve for this. A brief explanation would be greatly appreciated.
  7. Math

    I need help with two problems. Just want to make sure that the answers I put are correct. 1) Which of the following is an equation of a vertical line?
  8. Calculus I

    We're reviewing limits from the previous chapter, but I'm still having some difficulty with some problems: lim tan(pi(x/4)) as x-> -7 lim (x^2 - x^3(cos(1/x))/3x^2 as x-> 0 I know the answer to the first problem is 1 and to the …
  9. Math

    Convert the given exponential function to the form indicated. f(t) = 2.7(1.004)^t --> f(t) = Q0e^kt I'm not even sure where to start with this one - any help would be greatly appreciated.
  10. Calculus

    Hello! I need help with this problem, its been irritating me for days! Any help would be greatly appreciated! Here’s the question.. The minute hand on a watch is 8 mm long and the hour hand is 4 mm long. How fast is the distance …

More Similar Questions