how to find deltaRx and deltaRy from these equations? R F F+ F2x X 1 x R,-F= F, + F2y 11 R F F+ F2x X 1 x R,-F=...
7. (-/1 Points) DETAILS LARCALC11 11.R.037. Find sets of parametric equations and symmetric equations of the line that passes through the two points. (For the line, write the direction numbers as integers.) (7, 0,5), (10, 11, 9) (a) Find sets of parametric equations. (Enter your answer as a comma-separated list of equations in terms of x, y, z, and t.) (b) Find sets of symmetric equations. *57 - 11 3+5 0 - 7x + 3 = 11y = -5z +...
- Let f be the function from R to R defined by f(x)=x2.Find a) f−1({1}). b) f−1({x | 0 < x < 1} c) f−1({x|x>c) f−1({x|x>4}). -Show that the function f (x) = e x from the set of real numbers to the set of real numbers is not invertible but if the codomain is restricted to the set of positive real numbers, the resulting function is invertible.
Question 12 11. Show that if F is continuous on Rn and F(X + Y) = F(X) + F(Y) for all X : in R", then A is linear. HINT: The rational numbers are dense in the reals. 12. Find F and JF. Then find an affine transformation G such that F(X)-G(Y) lim =0. T x2+y+2z (a) F(x, y,z)coxy. Xo- (1,-1,0) e*yz ex cos y (b) Fe*sin y 1, xo=(0, π/2) 13. Find F. g1 (x) 11. Show that if...
8) Find L10 for f(x) = 22 + 3x + 1 from r = 1 to 2 = 2.
(11) Does the function f(x) = 3x2 + 5x – 2, defined for r € (-1, 1), satisfy the hypotheses of the Mean Value Theorem? Find x = c such that f'(c) is the slope of the secant line passing through (-1,f(-1)), and (1, f(1)).
Find the dy/dx for the following equations (e) (y+1)= x +42 (f) x3 + y2 = 4.1 (g) xy = 3ry +3 (h) ya = r sin(1)
Find f(-1) and f(29). f(x) = x + 7 f(-1) = f(29) 11
Find all zeros. f(x) = x - 4x +11.r? - 14.1 - 30 .) Find all possible rational veros. b) Find two rational zeros. You must use a synthetic division twice. ) Use the quadratic formula to find two remaining zeros. You must show detail computations using the quadratic formula. Simplify your answers.
Ex. 1 Find all functions f : R + R given by f(x) = ax + b, a, b € R, with the property that f (x + y) = f(x) + f(y) – 2a, Vw, YER.
(1 - r)dr- (1/2)2 3.1.1 For a bar with constant c but with decreasing f-|-x, find w(x) and u(x) as in equations (8-10). 3.1.2 For a hanging bar with constant f but weakening elasticity c(x)-1-, find the displacement u(x), The first step w even at x - I where there is no force. (The condition is w - c du/dx-0 at the free end, and (1 -x)f is the same as in (9), but there will be stretching c=0 allows...