Mathematics Quiz: Points, Integration, and Transformations

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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?

P8,200 Signup and view all the answers

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

1.92 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?

1.88 miles Signup and view all the answers

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

1.000 Signup and view all the answers

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

25.36 Signup and view all the answers

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

$y dx - x dy = 0$ Signup and view all the answers

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

3 Signup and view all the answers

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

$-12ab-6b$ Signup and view all the answers

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

(-2, -2) Signup and view all the answers

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

xA(3) + 3y^2 + 2 = 0 Signup and view all the answers

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

More than 170 miles 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?

56 Signup and view all the answers

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

526 Signup and view all the answers

A normal to a given plane is _________.

perpendicular to the plane Signup and view all the answers

Evaluate ∫(x dx) / sqrt(x^2 - 8x).

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