(1) | $ (4) | 0 (139) | 1 (35) | 2 (42) | 3 (26) | 4 (10) | 5 (6) | 6 (5) | 7 (19) | 8 (6) | 9 (1) | A (270) | B (43) | C (116) | D (224) | E (131) | F (153) | G (27) | H (57) | I (141) | J (6) | K (8) | L (47) | M (77) | N (35) | O (11) | P (537) | Q (18) | R (48) | S (573) | T (206) | U (6) | V (43) | W (86) | X (17) | Y (2) | Z (9) | [ (3)
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Factor and Remainder Theorems
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FgoE76U-0 Situation. A particle moves along a curve of parametric equations x = e^(-t), y = 2 cos 3t, z = 2 sin 3t, where t is the time.
FgoE76U-1 Find the position at t = 0.
FgoE76U-2 Find the velocity at t = 0.
FgoE76U-3 Find the acceleration at t = 0.
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Files for Download are Now Available to $\require{cancel} \xcancel{\text{Non-}}$logged-in Users
FINAL EXAM - Basic Algebra Review Course
Find $P(0 \lt z \lt 1.25)$, where $z$ has the standard normal distribution.
Find $x$ from $xy = 12$, $yz = 20$, and $zx = 15$
Find $y'$ if $x = 2 \arccos (2t)$ and $y = 4 \arcsin (2t).
Find $\displaystyle \sum_{n = 1}^4 (2k + 1)$.
Find $\displaystyle \sum_{n = 1}^5 S_n$ where $S_n = 2/n$.
Find $\ln A$ if $\log_5 A = 4$.
Find $\tan \beta$ from the given figure.
Find (5 + 4i) + 2(2 - 3i) - i(1 - 5i)
Find a number such that 2/3 of the number increased by one is 13.
Find C so that the line y = 4x + 3 is tangent to the curve y = x^2 + C.
Find d so that x + 6 is a factor of x^4 + 4x^3 - 21x^2 + dx + 108.
Find k so that the expression kx^2 - 3kx + 9 is a perfect square.
Find k so that x + 6 is a factor of x^4 + 4x^3 - 21x^2 + kx + 108.
Find the 4th term in the expansion of $(x^3 + y^2)^4$.
Find the 6th term of $1, ~ 2, ~ 5, ~ ... \, , ~ \frac{1}{2}(1 + 3^{n - 1})$.
Find the 7th term of the geometric sequence beginning with 6, 9, 27/2, …
Find the 8th term of the sequence $-3, ~ 4, ~ 5/3, ~ … \, , ~ \dfrac{n + 2}{2n - 3}$.
Find the angle between $2x - y + z = 10$ and $x + y + 2z = 11$.
Find the angle subtended by the line segment through (0, 0, 0) and (3, 8, 5) from the xy-plane.
Find the approximate amount of material in an open rectangular box whose inside measurements are 1.60 m long, 1.00 m wide and 0.60 m deep, if the box is made of lumber which is 1.75 cm thick.
Find the approximate height of a mountain by using mercury barometer
Find the area bounded by the y-axis and the lines y = 6x - 1 and y = 0.25x + 3.
Find the area enclosed by the curve $r^2 = 64 \cos 2\theta$.
Find the area of a sector of a circle of radius 6 cm and a central angle of 60°.