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Travel An approximate linear model that gives the remaining distance, in miles, a plane must travel from Los Angeles to Paris is given by

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- Let R be field and X= R³/s Vector space over R M=(a,b,c)labic, e Rra+b= 3- <3 Show that Ms and why with proof. 1) is convexset and affine set of botost ii) is blanced set and symmetirs set of x iii) is hy per space and hyper plane ofx or hot iii) find f:MR st kerf = M 18/103 and finnd fiM→R/{0} st M= {xEX, f(t) = x, texiαER? jiii) show that Mis Maxsubspace or not and Mis a max. affine set or not.arrow_forwardSolve the next ED: (see image)arrow_forwardWrite an equation for the polynomial graphed below. It will probably be easiest to leave your "a" value as a fraction. 8 7 + 9+ H 6 5 4 3 + 3 2 1 (-30) (-1,0) (1,0) (3,0) + -5 -4 -3 -2 2 3 4 7 2 -1 -2 3 (0,-3) f(x) = 456 -4 -5 -6+arrow_forward
- Write an equation for the polynomial graphed below 5+ 4 - 3 2 1 + + -5 4-3 -2 -1 1 2 3 4 5 -1 -2 y(x) = -3 -4 5 -5+ Qarrow_forwardWrite an equation for the polynomial graphed below 6+ 5 + -5 -4 3 y(x) = 4 3 2 1 -1 1 1 -1 -2 -3 -4 -5 2 3 4 5arrow_forwardWrite an equation for the polynomial graphed below 5+ 4 3 1 + + + -5-4-3-2 1 13 4 5 -1 -2 -3 -4 -5+ 4 5 Q y(x) =arrow_forward
- 1. Name the ongiewing) 2. Name five pairs of supple 3 27 and 19 form a angles 210 and 21 are complementary angies 4. m210=32 mal!= 5 mc11-72 m10= 6 m210-4x mc11=2x x= 7 m210=x m 11 =x+20; x= 12 and 213 are supplementary angles 8 ma 12 2y m13-3y-15 y= 9 m 12-y+10 m13-3y+ 10: y= 10. The measure of 212 is five times the measure of 13. Find the 213 and 214 are complementary angles, and 14 and 15 are supplementary angies 11 mc13 47 m/14- 12 m 14-78 m13- m215- m15 13 m15-135 m. 13- m.14arrow_forward3. Solve the inequality, and give your answer in interval notation. - (x − 4)³ (x + 1) ≥ 0arrow_forward1. Find the formula to the polynomial at right. Show all your work. (4 points) 1- 2 3 сл 5 6 -4 -3 -2 -1 0 2 3arrow_forward
- 2. Find the leading term (2 points): f(x) = −3x(2x − 1)²(x+3)³ -arrow_forward1- √ √ √³ e³/√xdy dx 1 cy² 2- √ √² 3 y³ exy dx dy So 3- √ √sinx y dy dx 4- Jo √² Sy² dx dyarrow_forwardA building that is 205 feet tall casts a shadow of various lengths æ as the day goes by. An angle of elevation is formed by lines from the top and bottom of the building to the tip of the shadow, as de seen in the following figure. Find the rate of change of the angle of elevation when x 278 feet. dx Round to 3 decimal places. Γ X radians per footarrow_forward
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