4. Find the point on the hyperbola xy 8 that is closest to the point (3,0). 10 pts. Find intervals of INC, DEC, CU, and CD, and points of inflection. 5. 10pts. y+3x-9x+ 4. Find the point on...
Please readable hand writing ✍️ 4. [10] Find the curvature intervals and inflection point(s). y = x4 – 2x – 12x² + x + 7 CU CD Infl.
Find the point on the line y - 3x + 5 closest to the point (1,3). The function giving the distance between the point and the line is 8 (Enter a function of 2) (Enter the coordinates of the point. Be The point closest to the line is sure to include commas and parentheses as required.
show all work please!! ((x-2)^2)/16 + ((y+4)^2)/9 =1 find the point closest to (3,0) Name 2 + 2 = 1 is closest to the point 10) What point on the graph (3,0)? Show transcribed image text Expert Answer o
2. f(x) = x? – 3x² +5. a) (5 pts) Find the (x, y) coordinates of the critical points. b) (5 pts) Find the (x, y) coordinates of the point of inflection (point of diminishing return) c) (5 pts) Over what interval is the function increasing/decreasing and over what interval is the function concave up/concave down? Analytically test for concavity. d) (5 pts) Use the 2nd derivative test to determine (x, y) coordinates of the relative max/min.
Question 5 1 pts Find the intervals where the following function is concave up (CU),concave down (CD), and find all inflection points (IP). f (x) = x4 – 4.03 © I.P.x=0, x=2, C.D.x<0, C.U.0<x<2, C.D.x>2 I.P.x=0, x=2, C.U.x<0, C.D. 0<x<2, C.U.x>2 I.P.x=0, x=3, C.D.x<3, C.U.x>3 I.P. x=0, x=3, C.U.x<0. C.D. 0<x<3, C.U.x>3 none of the above
1026) Find the derivative of y=(3x^(1/4) - 9x^(1/7)) ^8, when x-5. ans: 1 3 allchr 1028) Find the slope of the tangent to the curve y=6/(4-6x) at xi=4. ans: 1 3 allchr 1030) Find the slope of the tangent to x^2+y^2-11^2 at x1-5 in the first quadrant. This is the equation of a circle ans: 1 3 allchr 1032) y=(x2)/(x+3).Y A /((x+3) B). Find A,B. ans : 2 3 allchr
Final page 5 of 13 4. Let f(x)8+1 a) Find all the critical points. b) Find the interval(s) where f(x) is decreasing. List these intervals c) Find the r coordinates of all relative maxima. d) Find, if they exist, the s-coordinates of all points of inflection e) Determine the intervals where f is concave up. List these intervals Final page 5 of 13 4. Let f(x)8+1 a) Find all the critical points. b) Find the interval(s) where f(x) is decreasing....
1- 2- (10 points) Find the closest point to y in the subspace W spanned by vì and v2. -4 -2 у 0 -1 0 -1 2 3 1 1 1 1 (10 points) The given set is a basis for a subspace W. Use 0 0 0 the Gram-Schmidt process to produce an orthogonal basis for W.
6) a (15 pts) Find the derivative of (x,y,z-xy, + x3yz + z3yx in the direction of v -2 -4k at the function fix.y z) at the point vo Can you find any direction(s) where the surface is neither increasing nor decreasing? e point vo (2, 1, -3). What is the rate of maximal increase to the b. (10 pts) Find a normal vector and the tangent plane to the following level surface x'y t yz+2 3 at (1, 1,...
8. (4 pts) Find the equation of the line parallel to y = -2x + 1 that passes through the point (-4,6). 9. (4 pts) Find the equation of the line that passes through the points (-2,5) and (-1,8). OS 10. Multiply and/or divide as indicated. Give your answers in fully-factored form. 6x +30 (4 pts) 18 a b. (4 pts) 20x 18y 27y5 5x c. (3 pts) x2-36 x+7 x2-49 x+6 d. (3 pts) 3b+5 10b-5 6b2+7b-5 2b-1 4