Describe the similarities and differences between the two curves \vec{\gamma}_{1}(t) = (3 + 3t)\vec{i} + (1 - t)\vec{j} + (3 + 4t)\vec{k}, -\infty\leq t\leq \infty and \vec{\gamma}_{2}(t) = (3 + 3t^{2 Determine whe...
Find the area of the region bounded by the x-axis and the curve y=x^2e^x between x=0 and x=1. 1. Find the area bounded by the curves y = x^2 + 1, y = 3 - x, the x-axis and the y-axis. Find the area bounded by the curve y = ex, the x-axis and ...
Given curves are (x^(2))/(9) - (y^2)/(16) = 1 and (x^(2))/(16) - (y^(2))/(9) = 1 therefore " " e(1) = sqrt(1 + (16)/(9)) = (5)/(3) and e(2) = sqrt(1 + (9)/(16)) = (5)/(4) Now , (1)/(e(1)^(2)) + (1)/(e(2)^(2)) = (9)/...
Find the equation of the tangent line to the curves at the point x = 3: (a) y = 8 - x^2. (b) y = 2 / {x + 1}. (c) Using graphing calculator verify it. Determine the equation of the tangent line to the curve defined...
(a... 08:42 Find the coordinates of the points of intersection of the curves y=cos... 05:27 If y=(sinx+cos e cx)^2+(cosx+secx)^2 , then the minimum value of y ,A... 05:23 A triangle A B C is inscribed in a circle with centre at O , The lines... 08:16...
We are given the funtion {eq}\displaystyle\, f(x)= 3x^2+2,\;for\,x\geq 1 , {/eq}.The graph of the this curves is shown below: a) {eq}\begin... Learn more about this topic: Limit of a Function | Overvie...
Find the marginal rate of substitution between x and y for the following utility functions: 1. Cobb Douglass: U = (Ax ^a) (y^b ) 2. Constant Elasticit What is the difference between indifference curves and marginal utility? The marginal rate of substitution is...
Answer to: If the line y = m x - 5 does not meet the curve y = 3 x^2 - 6 x + 7 then value of m is in the open interval (a, b). Find the exact value...
Find the volume of the resulting solid if the region under the curve y=1x2+3x+2 from x=0 to x=1 is rotated about the x−axis. Calculus: Volume Of The Revolved Region: To solve for the volum of the reg...
We will solve the double integral by first finding the limits of integration where the limits of y will be variable and the limits of x will be constant and then we will integrate using the standard result. Answer and Explanation: Shaded region shows the...