Question

Given the components of the vectors, A, B, and C

Ax = 5 Bx=4 Cx =10

Ay = -3 By=6 Cy =6

Az = 10 Bz=-2 Cz =0

Find (a) AiCiBx, (b) AiAyBi, (c) AiBiCj , and (d) AiBiCjAk

Answer #1

Add the two vectors to find the resultant vector C which is
equal to A +B
A: 120
feet at 33 degrees North of East
B: 150
feet at 40 degrees South of East
Find the component vectors:
Ax:
Ay:
Bx:
By:
Find the components of C
Cx:
Cy:
Put C back together
Add the vectors:
A: 124
miles at 5 degrees North of South
B: 88
miles at 82 degrees North of South
Components:
Ax:
Ay:
Bx:
By:
Cx:
Cy:
Final Answer: give...

Add the vectors A and B to find the resultant vector C
A: 124miles at 5 degrees North of East
B: 88 miles at 82 degrees North of East
Find the component vectors
Ax:
Ay:
Bx:
By:
Cx:
Cy:
Give the magnitude and direction of vector C.

Problem 3.12
Each of the following vectors is given in terms of its x- and
y-components.
Part A vx = 16 m/s , vy = 31 m/s . Find the vector's
magnitude.
Part B vx = 16 m/s , vy = 31 m/s . Find the vector's
direction.
Part C ax = 20 m/s2 , ay = 10 m/s2 . Find the vector's
magnitude.
Part D ax = 20 m/s2 , ay = 10m /s2 . Find the vector's
direction

Suppose you have a function of the general form e(x) = ax^3 +
bx^2 + cx + d
a, b, c, and d are real numbers.
Find values for the coefficients if
-there is a local maximum at (6,6)
-there is a local minimum at (10,2)
-there is an inflection point at (8,4)
Please show how you solve and explain.

1) find a cubic polynomial with only one root
f(x)=ax^3+bx^2+cx +d such that it had a two cycle using Newton’s
method where N(0)=2 and N(2)=0
2) the function G(x)=x^2+k for k>0 must ha e a two cycle
for Newton’s method (why)? Find the two cycle

Vector A⃗ has components
Ax = 1.21 cm , Ay = 2.22 cm ;
vector B⃗ has components Bx =
4.00 cm , By = -3.76 cm .
1)Part A
Find the components of the vector sum A⃗ +B⃗
.?
2) Part B
Find the magnitude of the vector sum A⃗ +B⃗
.?
3) Part C
Find the counterclockwise angle the vector sum A⃗
+B⃗ makes with the +x axis.?
4) Part D
Find the components of the vector difference B⃗
−A⃗ ....

Suppose E⃗ =2A⃗ +
3B⃗ where vector A⃗ has
components Ax = 5, Ay = 2 and
vector B⃗ has components Bx =
-3, By = -5.
What is the x-component of vector E⃗ ?
What is the y-component of vector E⃗ ?
What is the magnitude of vector E⃗ ?
What is the direction of vector E⃗ ?

Consider the two vectors, A and B, for which the length and
angle are given below. What would be the x and y components of the
the vector sum C = A + B? length of A = 3.606, angle A makes with
respect to x-axis = 236.31 degrees length of B = 4.243, angle C
makes with respect to x-axis = 45.000 degrees
Cx=
Cy=

Given r_1 and r_2 are the roots of the quadratic equation ax^2 +
bx + c = 0,
express (b^2?4ac)/2a in terms of r_1 and r_2. Re-write the
quadratic formula in terms of r_1 + r_2 and
and r_1 ? r_2.

Suppose that f(x)=ax^3+bx^2+cx+d cubic polynomial.. Show that
f(x) and k(x)=f(x-2) have the same number of roots.(without
quadratic formula)

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