Integrate ∫(3x2)dx
What is x3+C
Integrate ∫cos(3x-pi) dx
what is (1/3)sin(3x-pi)+C
evaluate ∫ (x2+3x) dx on [1, 3]
What is 62/3
The quadrant bearing N230E as a true bearing
and the true bearing 2620 as a quadrant bearing
what is 0230 and what is S820W
For the vectors u = [2, −2, 3], and v = [−2, −2, 1]
Find u * v
What is 3
Integrate and simplify ∫(4x5-4x)dx
What is (2/3)x^6 - 2x2+C
Integrate ∫[ sin3x cosx]dx
What is (1/4)(sinx)^4+C
evaluate ∫cos(x/2)dx on [0,pi]
What is 2
Express the vector FD in terms of u and v
(see additional image)
What is 2u-v
For the vectors u = [2, −2, 3], and v = [−2, −2, 1]
Find the angle between them.
What is 18.50
Integrate ∫x*sqrt(x)dx
What is (2/5)x5/2 +C
Find f(x) if f'(x) = 8e4x and f(0) = 5
What is f(x) = 2e4x + 3
evaluate ∫(secx)^2dx on [-pi/4,pi/4]
What is 2
Charlie walks 70 meters due west. Once he reaches the fountain, he turns down a street at a
bearing of S 33◦W, and walks another 80 meters to Mac’s house.
How far does charlie end up from his starting position, and at what bearing?
What is 131.9m at a bearing of S59.4W
For the vectors u = [2, −2, 3], and v = [−2, −2, 1]
Find a unit vector that is orthogonal to both of them
What is [1/3, -2/3, -2/3]
Find f(x) if f`(x) = x3-3 and f(2) = 1
What is f(x)=(1/4)x4-3x+3
Integrate ∫ sin2(4x) dx
What is (x/2)-(1/16)sin(8x)+C
evaluate ∫ xe-2x^2 dx on [1,2]
What is 0.0337
A painting that weighs 90N hangs in the middle of a single wire, so that the angle separating the two halves of the wire is 100◦, and so that the two halves of the wire have the same length. What is the tension in each wire?
What is 70N
Find the values of k so that u = [k, −3k, 2] and
v = [k2, k, 2] are perpendicular.
What is k = -1 and k = 2
Integrate ∫(6x5+4x3)(5x6+5x4)3 dx
What is (1/20)(5x6+5x4)4 + C
∫ x2ex dx
what is ex(x2 -2x+2)+ C
evaluate ∫ sin2(x/2) dx on [0, pi/6]
what is pi/12 - 1/4
A projectile is launched into the air with a velocity of 50 m/s such that the horizontal component of the velocity has double the magnitude of the vertical component of the velocity
Find the angle between the horizontal and the projectile, and the magnitude of the horizontal and vertical components of the velocity
What is 26.60
v h = 44.7 m/s
vv = 22.35 m/s
Find the area of the triangle ABC with vertices
A(3, 2, −1), B(−3, 1, 2), C(4, 1, 1)
What is 15.85 sq units