WebMay 25, 2024 · I've work out the cartesian equation for C1 to be y=3x/2 + 1/2 and I know that to answer the question I must show the cartesian equation for C2 to be the same. However, I am not getting the same cartesian equation for C2 and cannot figure this question out at all Webthen y=0,4. x 2=4y. we get x=4,0. So, the points of intersection are (0,0) & (4,4) Area =∫04∫ 2 xx 2/4dydx=∫04[y] 2 xx 2/4dx. =∫04[ 4x 2−2 x]dx. =[12x 3− 34⋅x 3/2]04. =[124 3− 34(4) 3/2] = 316 sq. units.
JEE MAINS 2024 Consider two curves `C1:y^2=4x`; …
WebSep 19, 2024 · The two curves are: #y_1(x) = x^2-c^2# and . #y_2(x) = c^2-x^2# We can note that for every #x# we have: #y_1(x) = -y_2(x)# so the two parabolas are symmetric with respect to the #x# axis.The two curves thus intercept when #y_1(x) = y_2(x) = 0#, that is for #x=+-c#. Given the symmetry, the area bounded by the two parabolas is twice the … WebIf the rational function y=r (x) has the horizontal asymptote y=2, then y as x. Estimate the limit numerically if it exists. (If an answer does not exist, enter DNE.) lim x→+∞ 6e−6x. Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim x→0 3x2 − 2x x. locking outlet box cover
Mat1322 test1 AM ver1 2024 draft 2 - Wednesday, February 8, …
WebThe given curves C 1 : y 2 = 4 x and C 2 ; x 2 + y 2 − 6 x + 1 = 0 intersect if x 2 + 4 x − 6 x + 1 − 0 ⇒ x 2 − 2 x + 1 = 0 ⇒ (x − 1) 2 = 0 ⇒ x = 1, 1 equal real roots ∴ given curves touch. For x = 1, y 2 = 4 ⇒ y = ± 2. Thus the given curves touch each other at exactly two points (1, 2) and (1, − 2). WebOct 19, 2024 · Q2. [2 points] Let R be the region bounded between the curves y = x 2 and y = 12 − x 2. Let S be ... 9 + y 2 ∆y. (b) [2 points] Again, consider a thin horizontal strip of this door, of thickness ∆y m, and located about y m from the bottom of the tank. ... y 2. dy = ∫. 2 x 4 x 2 + 10. dx u = 4x 2 + 10 =⇒ du = 8x dx WebOct 22, 2024 · Consider the two curves c 1: y 2 = 4x, c 2: x 2 +y 2 –6x+1 = 0. Then. a. c 1 and c 2 touch each other only at one point. b. c 1 and c 2 touch each other only at two … india\\u0027s share of world population