Let r(t) = (3t², sin(t) – tcos(t), cos(t) + tsin(t)), t > 0. (a) Find the vectors unit tangent vector T and unit normal vector N. (b) Find the curvature. (c) Find the binormal vector B. (b) Find the torsion.

Q: Show that the equation x+y* : integer. 100 has no solution when each of x and y is a positive

A: To show x4+y4= 100 has no solution when each of x and y is a positive integer.

Q: Solve. ET + 16y-2y² - 32 = 0

A: We have given an equation  y3+16y-2y2-32=0 yy2+16-2y2+16=0 y2+16y-2=0 y2+16=0 or y-2=0 y2=-16 or y=2…

Q: find the solution set 8x/x+9 is greater than or equal to 0

A:

Q: (e) lim f(x) does not exist. (lim F = 00 is a valid limit) lim Sina =DNE

A: our objective is to find some examples and draw it

Q: Show

A:

Q: Graph y >1- 3z. 24

A: y > 1 - 3x  In all four graphs, line y = 1 - 3x is there.  ∵  In the given inequality, no…

Q: Taika invested a total of $ (a+b+c+ 900) x 1,000 into three investment accounts, paying 3%,4%, and…

A: Let us form the system of linear equations for x, y and z using the given information in the problem…

Q: Give equation

A:

Q: a) x= 2 sin() - sin) - 1 b) 117 6 x = 2 sin:(11) – sin(27) - 6 %3D

A: we have to find the value of 2sin2(x)-sin x -1 at x=π2…

Q: (v+2) +3

A:

Q: Graph the intersection of x−y3.

A:

Q: find the vertex 4==.28x2-1LOX+2.1

A:

Q: Solve 1-x +1 2-x 2 without the use of a graphing calculator. Show all work. x + 6

A: we find all value of x

Q: 7. y =x y =x+2 8. y = x- 4 y =-x- 2 9. y =x- 2x+2 y = 2x-2

A: In the given question we have to solve the equations given in 7,8 and 9 for the values of x and y.so…

Q: 2 cos (3xtZl) = VZ 0°EX Ę 360 2(05

A: 2cos3x+21=2

Q: Find the solution to the problem 5x + 2y =12 - 6x-2y=-14 (__,__)

A:

Q: Solve  equation. (√x +√ 5) - (√x - √3) = 2

A: Given equation:

Q: Graph the functions in the grids  2y + 5 = x

A:

Q: -7 4 3+y 2 1 -6 -5 -4 -3 -2 -1 -1 -2 -5 1 2 4 X 5

A: To write the equation of the following graph.

Q: x2 - 49 4x-28 2x - 16 x2 - 6x – 16 | %3D -

A: 4x-282x-16÷x2-49x2-6x-16=4x-282x-16×x2-6x-16x2-49      (Reason : ab÷cd=ab×dc)…

Q: Solve for x. state non-permissable values of the variables 1/x-2 = 1/4x+10

A:

Q: (a) Use the given information to write a system of linear equations for x, y, and z. (b) Convert…

A:

Q: how to graph P(-1,3) and y=4x-7

A: Given equation:-  y=4x-7

Q: Do I have to use x and y to represent a problem’s variables?

A: We can use any English alphabet to represent the variables in the problem.

Q: Use a graphical method to find the solution(s) to the equation x³ - 4x² + x + 2 = 0

A:

Q: crystal completed 6 rows of math problems. There were th same number of math problems in each row.…

A: Cystal completed 6 rows. Every row had same number of questions. She has completed a total of 48…

Q: What would be the solution to #2 and #4 with steps included?

A: We have to find the value of the given trigonometric function.

Q: Find the equation of the geometric location of the points where the sum of 9 times the square of…

A: