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Questions in Grade College

[Jawaban] Show that if $a$ is a constant, (a) [tex]\frac{d}{dx}[\tan ^{-1}(\frac{x}{a})]=\frac{a}{a^2+x^2}[/tex] (b) [tex]\frac{d}{dx}[\sin ^{-1}(\frac{x}{a})]=\frac{1}{\sqrt{a^2+x^2}}[/tex]

[Jawaban] A new cylindrical brass bearing sleeve for a pump shaft is found to be a few millimetres too long for the housing and needs to be adjusted to the correct length. Which will be the best method to use to reduce the length of the sleeve to the correct dimension? A. Grind off the excess on a pedestal grinder for quickness B. Cut off the excess with a mechanical hacksaw C. Remove the excess length using the ship's lathe D. Manually hacksaw off the excess and dress the end with a file E. Saya Tidak Tahu.

[Jawaban] True or False? When lifting something that is over your head, you should always have your arms raised above your shoulders.

[Jawaban] A system of equations and its solution are given below. System A [tex]\begin{aligned} -x-2 y & =7 \\ 5 x-6 y & =-3 \end{aligned}[/tex] Solution: [tex](-3,-2)[/tex] Choose the correct option that explains what steps were followed to obtain the system of equations below. System B [tex]\begin{aligned} -x-2 y & =7 \\ -16 y & =32 \end{aligned}[/tex] A. To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by -5. The solution to system B will not be the same as the solution to system A. B. To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by 3. The solution to system [tex]B[/tex] will be the same as the solution to system [tex]A[/tex]. C. To get system [tex]B[/tex], the second equation in system [tex]A[/tex] was replaced by the sum of that equation and the first equation multiplied by 5. The solution to system B will be the same as the solution to system A. D. To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by -6. The solution to system B will not be the same as the solution to system A.

[Jawaban] You think a new job will pay you a higher salary and that you'll be able to get scholarships to pay for part of the tuition. Overall, it's a risk you're willing to take. Which of these personal factors could make you more willing to take financial risks to achieve your goals? A. Being a young adult B. Having aging parents C. Having a chronic illness D. Owning a house

[Jawaban] Use the exact values of the ratios and find the value of [tex]$\tan 45^{\circ}+\sin 30^{\circ}$[/tex].

[Jawaban] This question can be used to support a person better - When you were having a bad day, did anyone do something that made the day a bit better? A. True B. False

[Jawaban] Two students from a group of eight boys and 12 girls are sent to represent the school in a parade. If the students are chosen at random, what is the probability that the students chosen are not both girls? $\frac{12}{190}$ $\frac{33}{95}$ $\frac{62}{95}$ $\frac{178}{190}$

[Jawaban] Question 17 (5 points) Listen Which of the following is the inverse relation of the set? A) {(-2,5),(-3,3),(6,4),(-7,-1)} B) {(-3,5),(-2,3),(-1,4),(-7,6)} C) {(2,-5),(3,-3),(-6,-4),(7,1)} D) {(-4,10),(-6,6),(12,8),(-14,-2)} Question 18 (5 points)

[Jawaban] The height, [tex]$d$[/tex], in feet of a ball suspended from a spring as a function of time, [tex]$t$[/tex], in seconds can be modeled by the equation [tex]$d=-2 \sin \left(\pi\left(t+\frac{1}{2}\right)\right)+5$[/tex]. The ball is released from its lowest point at [tex]$t=0$[/tex] seconds. Using your knowledge of the general form of sine and cosine functions, which of the following equations can also model this situation? [tex]$d=-2 \cos (\pi t)+5$[/tex] [tex]$d=-2 \cos \left(\pi\left(t+\frac{1}{2}\right)\right)+5$[/tex] [tex]$d=2 \cos (\pi t)+5$[/tex] [tex]$d=2 \cos \left(\pi\left(t+\frac{1}{2}\right)\right)+5$[/tex]