I believe there should be a given figure in the problem...?
If you mean, 5^(2-x) = 7^(5x + 7) Then, we take the ln of both sides (2-x)*ln(5) = (5x + 7)*ln(7) 1.609*(2-x) = 1.946*(5x+7) Solving for x, x = -0.9174 Hope this helps :3
y varies directly with x: y = kx where k is some constant. To find this k, substitute the given x and y: 64 = k(16) k = 64/16 k = 4 To find x, substitute y = 288 and k = 4: 288 = 4x Now solve for x. Hope this helps :3
Go to wolframalpha. com and type the given.
If you draw this one, you would actually form a right triangle, where the hypotenuse is the length of the ladder (15 ft), and one of the legs is the distance from the wall to the bottom end of ladder (9 ft). What we're looking for is also the length of the other leg. Recal...
Yes, it's correct.
Recall the chain rule. If two expressions which are functions of x are multiplied, we do the following: h(x) = f(x)*g(x) h'(x) = f'(x)*g(x) + f(x)*g'(x) As we can see, the derivative of h(x) is the derivative of f(x) multiplied by the original g(x), plus the deriva...
If you mean f(x) = x^8√(5-3x), then f'(x) = (8x^7)*√(5-3x) + (-3/2)*(x^8) / √(5-3x)
Yes, they are all equivalent. To prove, assume a real value of x, for instance, x = 2. Then we substitute this value to each expression. The answers must be equal since the expressions are equivalent: 1800(x+20) ; x=2 1800(2+20) = 1800(22) = 39,600 1800x + 20(1800) ; x=2 1800(...
(a) To get the maximum profit, we differentiate the given function with respect to u. And then equate everything to zero (because at maximum, the slope is zero): P = -0.032u^2 + 46u - 3000 dP/du = -0.064u + 46 0 = -0.064u + 46 0.064u = 46 u = 718.75 (this is the number of unit...