Math Answers

Find the percent gain or percent loss when a car bought for PhP 925 000 is sold for

PhP 850 000.

ABCD is a quadrilateral with coordinates A (-5,2), B (6,2), C (1,-5), and D (-2,-3). Find the verticals of A'B'C'D under the translation (X+3,y - 6).

Alfred buys an old scooter for PhP 14 700 and spends PhP 1 800 on its repairs. If

he sells the scooter for PhP 15 800, what is his percent gain or percent loss?

2. We take a random sample of 250 Maryland police officers and find that their average annual salary is $42,500, with a standard deviation of $6,000. Construct a 98% confidence interval around your point estimate. Interpret your results.

3. a) Define tangent and normal of a curve with figure. Also find the equation of tangent and normal of the ellipse (x ^ 2)/4 + (y ^ 2)/16 = 1 at the point (- 1, 3) .

b) Explain maximum and minimum value of a function with graphically. Evaluate maximum and minimum value of the function f(x) = x ^ 3 - 3x ^ 2 + 3x + 1

R^3 is a inner product space over the inner product

<(x1,x2,X3),(y1,y2,y3)> = x1y1+ x2y2 - x3y3

True or false with full explanation

what is the equation of a circle passing through (6,2) and tangent to the line x-4y-15=0 at (3,-3)

 Evaluate "\\intop"x²(1 + 2x³)³dx.

2. Evaluate "\\intop"xe^7x dx.

3. Find the volume of the solid of revolution when the curve y = 1 + x2 is revolved around the x-axis on [−2, 2].

Show that the curve with parametric equations

x = sin t and y = sin(t + sin t) for 0 ≤ t ≤ 2π

For any two subspace W1,W2 of R^3 of dimension 2, W1+ W2 is a direct sum . True or false with full explanation