##### Evaluate the line integral C F · dr, where C is given by the vector function...

Evaluate the line integral

 C

F · dr,

where C is given by the vector function r(t).

F(x, y, z) = sin(x) i + cos(y) j + xz k

r(t) = t5 i − t4 j + t k, 0 ≤ t ≤ 1

In: Math

##### find the general solution to the second order linear non-homogeneous differential equation (y"/2)-y' +y = cos...

find the general solution to the second order linear non-homogeneous differential equation
(y"/2)-y' +y = cos x

In: Math

##### Given: f(x) = x 2−36 x 2−7x+6 Find the following a. V.A. b. Domain c. H.A....

Given: f(x) = x 2−36 x 2−7x+6 Find the following

a. V.A.

b. Domain

c. H.A.

d. X-intercept

e. Y-intercept

f. Graph

In: Math

##### Find the tangential and normal components of the acceleration vector. ? (?) = ? ? ?̂+...

Find the tangential and normal components of the acceleration vector. ? (?) = ? ? ?̂+ √2 ? ?̂+ ? −??̂

In: Math

##### -Let O (0,0,0) be the origin and A(a+1,b,c) where a,b and c are the last three...

-Let O (0,0,0) be the origin and A(a+1,b,c) where a,b and c are the last three digits of your student ID. Find, describe and sketch the set of points P such that OP is perpendicular to AP

- Let u=<a , b+1 , c+1> find and describe all vectors v such that |u x v|=|u|

a=1 , b=1 , c=9

In: Math

##### For f(x)=x^2+x-2/x^2-4, determine the equation for any vertical asymptotes, the equation for any horizontal asymptotes, and...

For f(x)=x^2+x-2/x^2-4, determine the equation for any vertical asymptotes, the equation for any horizontal asymptotes, and the x-coordinates of any holes

In: Math

##### csc beta = 2/3. What is the beta to the nearest degree?

csc beta = 2/3. What is the beta to the nearest degree?

In: Math

##### Determine an example of a vector field that would yield a positive value for a line...

Determine an example of a vector field that would yield a positive value for a line integral around a circle that is traversed once clockwise for any nonzero radius and explain how you know your vector field is correct.

In: Math

##### Express the following systems of equations in matrix form as A x = b. What is...

Express the following systems of equations in matrix form as A x = b. What is the rank of A in each case (hint: You can find the rank of a matrix A by using rank = qr(A)\$rank in R. For each problem, find the solution set for x using R.

a. X1+5X2+2X3=5

4X1-X2+3X3=-8

6X1-2X2+X3=0

b. 3X1-5X2+6X3+X4=7

4X1+2X3-3X4=5

X2-3X3+7X4=0

X2+3X4=5

In: Math

##### . Let Π be a finite incidence geometry. Prove that, if every line in Π has...

. Let Π be a finite incidence geometry. Prove that, if every line in Π has exactly n points and every point in Π lies on exactly n + 1 lines, then Π is an affine plane. Come up with a similar criterion for finite geometries satisfying (EP) (those geometries are called projective planes).

In: Math

##### Explain how to solve the following problems step by step, andreason it should be solved...

Explain how to solve the following problems step by step, and reason it should be solved that way:

1) Find domain for each problem and explain in brief in each case. How do you find the domain of these problems without using a graph (don't state the problem only)?  Explain this: why is there a difference between in the domain of an even and an odd indexed radical? Why the domain of a function with a square root in the denominator IS different than the domain of a function with square root NOT in the denominator?

In: Math

##### Find the domain of the function g(x) = square root of 3x+3

Find the domain of the function g(x) = square root of 3x+3

In: Math

##### why are the domain and range of square root function restricted to [0,∞) ?

why are the domain and range of square root function restricted to [0,∞) ?

In: Math

##### Which option below provides the best description of the relationship between a quadratic parent function and a square root parent function?

Which option below provides the best description of the relationship between a quadratic parent function and a square root parent function?

A. The square root function is the quadratic function reflected across the y-axis.

B. The quadratic function and square root functions have no inverse.

C. The square root function is the quadratic function reflected across the line y = x, with a limited domain.

D. The square root function is the quadratic function reflected across the x-axis

In: Math

##### Graph the square root of the following function. State the domain and range of the square root of the function.

Graph the square root of the following function. State the domain and range of the square root of the function.

y = -2x + 4

In: Math