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Olivia
What's the tangential component of acceleration for an object with position function r(t) = t^2 i + t j + t^2
these are the possible answers to choose from in the back of the book.....
a. 8t/(1 + 8t^2)^1/2
b. 4t/(1 + 2t^2)^1/2
c. 10t/(1 + 5t^2)^1/2
d. 32t/(1 + 32t^2)^1/2
e. 68t/(1 + 68t^2)^1/2
f. 4t/(4 + 2t^2)^1/2
g. none of these
3 AnswersMathematics1 decade agoWhat's the unit tangent vector T(t) for curve given by the vector-valued function r(t)= t^2 i + t j + t^2 k
these are the possible answers from the back of the book....
a. (1 + 8t^2)^-1/2(2t i + j + 2t k)
b. (1 + 2t^2)^-1/2( i + t j + t k)
c. (1 + 5t^2)^-1/2(t i + j + 2t k)
d. (1 + 32t^2)^-1/2(4t i + j + 4t k)
e. (1 + 68t^2)^-1/2(8t i + j + 2t k)
f. (4 + 2t^2)^-1/2(t i + 2 j + t k)
or is it none of these?
3 AnswersMathematics1 decade agoWe're given vector function r(t)= t i - t^2 j - t^3 k, how woud u lfind [r'(1)] X [r''(1)] . (cross product) ?
these are the possible answers to choose from.....
6 i - 6 j + 2 k
6 i + 6 j - 2 k
12 i - 16 j + 6 k
18 i - 36 j + 4 k
24 i - 96 j + 18 k
24 i - 64 j + 48 k
or none of these
2 AnswersMathematics1 decade agoVector function F(x,y,z) = (e^3yz) i + (e^2xz) j + ( e^xy ) k. How would you calculate curl F at (1,1,1)?
these are possible answers that the response can be checked with....
a. (3e^3 - 2e^2)i + (e - 3e^3)j + (2e^2 - e)k
b. (3e^3 - e)i + (2e^2 - 3e^3)j + (e - 2e^2)k
c. (e - 2e^2)i + (3e^3 - e)j + (2e^2 - 3e^3)k
d. (2e^2 - e)i + (3e^3 - 2e^2)j + (e - 3e^3)k
e. (2e^2 - 3e^3)i + (e - 2e^2)j + (3e^3 - e)k
f. (e - 3e^3)i + (2e^2 - e)j + (3e^3 - 2e^2)k
g. none of these
2 AnswersMathematics1 decade agoEvaluate the line integral of F(x,y)=(xy) i - (7x^2y) j, where C is given by r(t)= (t^2) i + (t) j, for 0<t<1
possible answers to choose from....
a. 1/15
b. -1/10
c. -4/15
d. -13/30
e. -3/5
f. -23/30
g. -14/15
h. none of these
2 AnswersMathematics1 decade agoHow would you go about solving this problem below?
An open top rectangular box has a volume of 729/2 cubic feet. If the dimensions are calculated so as to minimize the outside surface area (bottom and four sides), then the height of the box will be how many feet?.
possible answers....
1.5
2.0
2.5
3.0
3.5
4.0
4.5
5.0
or is it none of these
3 AnswersMathematics1 decade agoI'm struggling with this question below...?
How could you find a point in the x-y plane where the function listed has a local minimum.
f(x, y) = 4x^2 + 3xy + 5y^2 + x + y + 1
If there is such a point but it is not listed, choose answer I. If there is none, answer J.
these are the solutions to choose from in the back of the book...
a. (-9/79, -7/79)
b. (-2/19, -3/38)
c. (-7/71, -5/71)
d. (-3/32, -1/16)
e. (-1/11, -3/55)
f. (-1/11, -1/22)
g. (-3/31, -1/31)
h. (-1/8, 0)
i. There is a local minimum but it is not listed.
j. There is no local minimum for this surface.
3 AnswersMathematics1 decade agoHow would you go about solving this problem below?
Acme Power has an order for 6800 emergency power plants that can be produced at Acme's plant in Lincoln, Nebraska or at its plant in Tucson, Arizona. If L is the number of units produced in Lincoln and T is the number of units produced in Tucson, find the number of units that should be produced at the Lincoln plant to minimize the total cost if the cost function in dollars is given by C= 0.25L^2 + 0.3T^2 + 16L + 160T.
a. 1460
b. 1960
c. 2040
d. 2460
e. 2640
f. 2960
g. 3240
h. 3840
or is it none of these?
3 AnswersMathematics1 decade agoFind d^2y/dx^2 for the curve given by x = t^2 and y = t^2 + t.?
these are possible answers to choose from....
a. -1/(4t^3)
b. 1/(4t^3)
c. 1/(2t^3)
d. -1/(2t^3)
or None Of These?
6 AnswersMathematics1 decade agoAn equation (from the chooses) for an ellipse with center at (1, 1) and major axis parallel to the x-axis.?
equations to choose from....
a. 4x^2 + 9y^2 - 8x + 18y - 23 = 0
b. 9x^2 + 4y^2 - 18x + 8y - 23 = 0
c. 4x^2 + 9y^2 + 8x - 18y - 23 = 0
d. 9x^2 + 4y^2 + 18x - 8y - 23 = 0
e. 4x^2 + 9y^2 - 8x - 18y - 23 = 0
f. 9x^2 + 4y^2 - 18x - 8y - 23 = 0
g. none of these
1 AnswerMathematics1 decade agoHow would you go about solving this physics question?
Imagine a rectangular grid with the x-axis on level ground and the y-axis vertical. With distances in feet and time in seconds, an object moves from the origin according to the parametric equations
x = 1500 t,
y = -16t^2 + 144 t .
How far, in feet, from the origin will the object be when it hits the ground?
a. 9600
b. 10,800
c. 12,000
d. 13,500
e. 14,400
or none of these?
4 AnswersMathematics1 decade agoCan someone help me with this problem??
Find the surface area of the paraboloid z = x^2 + y^2 below the plane z = 10 .
possible solutions....
a. (π/6)(5^3/2 - 1)
b. (13π)/3
c. ( π/6)(13^3/2 - 1)
d. (π/6)(17^3/2 - 1)
e. (π/6) (21^3/2 - 1)
f. (62π/3)
g. (π/6) (29^3/2 - 1)
h. (π/6) (33^3/2 - 1)
i. (π/6) (37^3/2 - 1)
j. none of these
1 AnswerMathematics1 decade agoHow would you use Green's Theorem to compute the integral below?
Using Green's Theorem to compute
∫ x^2y^3 dx- xy^2 dy
C
where C is the boundary of the square centered at the origin and with vertices (3/4, 3/4), (-3/4, 3/4), (-3/4, -3/4), and (3/4, -3/4) and the closed path is oriented counterclockwise.
a. -17/3072
b. -5/48
c. -675/1024
d. -8/3
e. -351/16
f. -320/3
g. -18,125/48
h. -1080
i. -37,375/96
or is it none of these ?
1 AnswerMathematics1 decade agoMultivariable Calc. problem. How would you use the Green's Theorem to evaluate the line integral below...?
Using the Green's Theorem to evaluate the line integral
∫ P(x, y) dx+ Q(x, y) dy
C
where C is the path from (0, 0) to (1, 0) along y = 0; then from (1, 0) to (1, 1) along x = 1; then from (1, 1) to (0, 0) along y = x^1/2, given that P(x, y) = y^8, and Q(x, y) = 6xy.
This are the possible answers in the back of the book....
a. 1
b. 11/10
c. 7/6
d. 17/14
e. 5/4
f. 23/18
g. 13/10
h. 29/22
i. 4/3
or is it none of these?
3 AnswersMathematics1 decade agoHow do you solve this difficult calculus problem?
You have to let C be the path counterclockwise around the circle given by x^2 + y^2 = 16.
Then if f(x, y) = (sin x)(cosh y) and g(x, y) = (-cos x)(sinh y), how would you evaluate the integral...
∫ f(x, y) dx + g(x, y) dy
C
which of these is the correct response?
a. 4π
b. 6π
c. 8π
d. 0
e. -4π
f. -6π
g. -8π
h. none of these
2 AnswersMathematics1 decade agoHow would you solve this double integral below?
Using a double integral to find the volume of the solid bounded by the the coordinate planes and by the surface given by the equation 3x - 2y - 3z = 18 .
it could be one of the following below
2
12
54
64
96
100
124
or none of these?
2 AnswersMathematics1 decade agoCan someone help me with this problem?? and differentiate if p is pi?
Find the surface area of the paraboloid z = x^2 + y^2 below the plane z = 10 .
I think p ='s pi but I'm not sure
possible solutions....
a. (p/6)(5^3/2 - 1)
b. (13p)/3
c. ( p/6)(13^3/2 - 1)
d. (p/6)(17^3/2 - 1)
e. (p/6) (21^3/2 - 1)
f. (62p/3)
g. (p/6) (29^3/2 - 1)
h. (p/6) (33^3/2 - 1)
i. (p/6) (37^3/2 - 1)
j. none of these
1 AnswerMathematics1 decade agoHow would you use Green's Theorem to compute the integral below?
Using Green's Theorem to compute
∫ x^2y^3 dx- xy^2 dy
C
where C is the boundary of the square centered at the origin and with vertices (3/4, 3/4), (-3/4, 3/4), (-3/4, -3/4), and (3/4, -3/4) and the closed path is oriented counterclockwise.
a. -17/3072
b. -5/48
c. -675/1024
d. -8/3
e. -351/16
f. -320/3
g. -18,125/48
h. -1080
i. -37,375/96
or is it none of these ?
1 AnswerMathematics1 decade agoHow would you use the Green's Theorem to evaluate the line integral below...?
Using the Green's Theorem to evaluate the line integral
∫ P(x, y) dx+ Q(x, y) dy
C
where C is the path from (0, 0) to (1, 0) along y = 0; then from (1, 0) to (1, 1) along x = 1; then from (1, 1) to (0, 0) along y = x^1/2, given that P(x, y) = y^8, and Q(x, y) = 6xy.
This are the possible answers in the back of the book....
a. 1
b. 11/10
c. 7/6
d. 17/14
e. 5/4
f. 23/18
g. 13/10
h. 29/22
i. 4/3
or is it none of these?
1 AnswerMathematics1 decade agoHow do you solve this difficult calculus problem?
Let C be the path counterclockwise around the circle given by x^2 + y^2 = 16.
Then if f(x, y) = (sin x)(cosh y) and g(x, y) = (-cos x)(sinh y), how would you evaluate the integral...
∫ f(x, y) dx + g(x, y) dy
C
which of these is the correct response?
a. 4π
b. 6π
c. 8π
d. 0
e. -4π
f. -6π
g. -8π
h. none of these
2 AnswersMathematics1 decade ago