Mathematics Quiz: Points, Integration, and Transformations

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Questions and Answers

What must be the value of 'y' in the equation [ y- square root of (x + y)]dx + xdy = 0?

  • Square root (x + y) = C
  • Square root (x + y) + y = C (correct)
  • Square root (x + y + y) = C
  • Square root (x - y) + y = C

If a square has a side length of $2b^3$, what is its area?

  • $a^2b^6$ (correct)
  • $4b^6$
  • $a^2b^3$
  • $ab^3$

What is the result when $5(7+3)$ is divided by the quantity of 2 minus the sum of -7 and 6?

  • 15 (correct)
  • -21
  • 21
  • 57

If a computer costing P21,000 is fully depreciated over 5 years, how much will it have depreciated after 2 years?

<p>P8,200 (D)</p> Signup and view all the answers

If 1 cm is equal to 0.39 inches, how many centimeters are there in 0.75 inches?

<p>1.92 (C)</p> Signup and view all the answers

Florenzo walks to school at a steady rate of 4.5 miles/hr. If he leaves home at 7:32 A.M. and arrives at school 15 minutes later, what is the distance between his home and school?

<p>1.88 miles (D)</p> Signup and view all the answers

What is the probability that all 20 children recognize their mother's voice in the given test?

<p>1.000 (A)</p> Signup and view all the answers

What is the radius of curvature of the parabola $y^2 - 4x = 0$ at point (4,4)?

<p>25.36 (A)</p> Signup and view all the answers

Which differential equation represents the family of lines passing through the origin?

<p>$y dx - x dy = 0$ (D)</p> Signup and view all the answers

What are all solutions to the logarithmic equation $\ln(x^2 - 1) - \ln(x - 1) = \ln(4)$?

<p>3 (D)</p> Signup and view all the answers

What is the result when $6ab + 3b$ is subtracted from $-6ab-3b$?

<p>$-12ab-6b$ (C)</p> Signup and view all the answers

Which point on the line $3x + y + 4 = 0$ is equidistant from points (-5, 6) and (3, 2)?

<p>(-2, -2) (A)</p> Signup and view all the answers

What is the equation of the curve passing through (1, 1) if dy = x^2 dx?

<p>xA(3) + 3y^2 + 2 = 0 (B)</p> Signup and view all the answers

For what range of miles will Plan B be more cost-effective than Plan A for a customer?

<p>More than 170 miles (C)</p> Signup and view all the answers

If a candidate must answer 70% of 70 questions correctly to pass an exam, how many questions must be answered correctly?

<p>56 (B)</p> Signup and view all the answers

What was the total score for Jake and his friends at the bowling tournament?

<p>526 (B)</p> Signup and view all the answers

A normal to a given plane is _________.

<p>perpendicular to the plane (C)</p> Signup and view all the answers

Evaluate ∫(x dx) / sqrt(x^2 - 8x).

<p>Square root of (x^2 - 4x + 4) ln(x - 4 sqrt(x^2 + 8x) (C)</p> Signup and view all the answers

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