For the points P(3.4) and Q(3,5), find (a) the distance between P and Q and (b)...
Use a polar coordinate system to plot the point with the given polar coordinates. Then find another representation (r,θ) of this point in which: Use a polar coordinate system to plot the point with the given polar coordinates. Then find another representation (r,0) of this point in which: (b) r< 0,0 <θ<2x. Choose the correct graph below. O A O B O C. O D. ピ -5 (a) What are the coordinates of the point for which r > 0,...
Please show work on how to get the answers. Thanks in advance! :) 7. Let P(-3,1)and Q(5.6) be two points in the coordinate plane. (a) Find the distance between P and Q (b) Find the midpoint of the segment Po. (c) Find the slope of the line that contains P and Q d) Find an equation of the line in standard form that contains P and 0 (e) Find an equation of the line in standard form that is perpendicular...
For the following function, a) give the coordinates of any critical points and classify each point as a relative maximum, a relative minimum, or neither, b) identity intervals where the function is increasing or decreasing: c) give the coordinates of any points of infection, d) identity intervals where the function is concave up or concave down, and e) sketch the graph. 9x) x²64 a) What are the coordinates of the relative extrema? Select the correct choice below and, if necessary,...
or the point given (0,1) in rectangular coordinates, find equivalent polar coordinates (re) that satisfy the conditions a) > 0,0° so< 360° b)r<0, - 180° <0s 180° (a) (,0)=0 (Type an ordered pair. Type your answer in degrees. Do not include the degree symbol in your answer. Type exact answers for each coordinate using radicals needed. Use integers or fractions for any numbers in the expression)
Find the distance between (2, -4) and (1,-6). Give the exact distance. midpoint of the line segment that joins points P(2,3) and Q(-2,5).
/ 5.6.12 For the folowing function, find the roots, increasing and decreasing intervals, concave up and concave down intervals, along withh the b graph. 2-8 xeR y a +8 BALa aUID J any nurues a i dl tawer, usN 1aua ds Teeueu Use aeyers u opy yuur aiswer. Type a MA B. vis never decreasing Find any local maxima. Select the correct choice below and, if necessary, fil in the answer box to complete your choice (Type an ordered pair....
s points) Given the two points P2,4) and Qu,-5) (a) Find the distance between P and Q (b) Find the midpoint of the segment joining P and Q. (c) Find the slope of the line through P and Q. (d) Determine an equation of the line through P and Q (e) Find an equation of a line perpendicular to the line in part (d) through (5,7). (f) Find the equation of a horizontal line through P.
Solve the age Round to two decimal places as needed) Round to one decimal place as needed) - Round to one decimal place is needed) Write the vector in the form al + b], given its magnitude Iv and the angle a it makes with the positive x-axis. IV = 18, a = 120° (Simplify your answer. Type an exact answer using radicals as needed. Type your answer in the form ai + bj.) Find the direction angle of v...
Carefully draw the line segment PQ that connects P=(4, 5, -3) and Q=(0, -4, 2) . Include dotted vertical lines from the xy-plane to P and Q to show perspective. Find the distance between P and Q, from the previous problem. Then find the coordinates of the midpoint of the line segment PQ . Let u= -3i+5j+7k and v= 10i+j-2k . Show that u × v is orthogonal to the vector v .
The rectangular coordinates of a point are given. Find polar coordinates (,0) of this point with expressed in radians. Letr>0 and -2x << 2x (4. - 473) One possibility for the polar coordinates of this point is (Type an ordered pair. Type exact answers for each coordinate, using it as needed. Use integers or fractions for any numbers in the expression Simplify your answer.)