Civil Engineering Online Review

The sum of two numbers is K. The product of one by the cube of the other is to be a maximum. What is one of the numbers?

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Find the volume of the spherical wedge having a radius of 2m. and a central angle of 1.25 rads.

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Round off to 4 significant figures 102.48876

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A closed traverse of a triangular lot is tabulated as shown:

LINES      BEARING           DISTANCE

AB            N. 60° E.               1000 m.

BC          Due South               ——

CA            N. 60° W.                ——

An area of 280000 m² is cut from point A to the line BC. Find the length of the dividing line from A.

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Find the length of curve defined by the polar equation r = 4 (1 – Sin θ)

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From the given cross-section notes of an earthworks having an area of 33.1 m², compute the value of x if it has a side slope of 2:1 Width of roadway is 10m.

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A right circular cone has a surface area of 386 sq.cm. Its daim. Is ½ of its altitude. What is its altitude?

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In triangle MNO, MN = 4.25cm, NO = 961cm. and OM = 8.62cm. A rectangle is inscribed in it such that its shorter side is on the 4.25cm. side of the triangle. Find the max. area of the rectangle.

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What is the area bounded by the curve y = 6 Cos x and the x-axis from x = π/2, solve by integration.

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Compute angle A if B =81°50’, C = 94°30’ for a spherical triangle whose side c = 90°.

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When the expression x⁴ + ax³ + 5x² + bx + 6 is divided by (x – 2) the remainder is 16. When it is divided by (x + 1) the remainder is 10. Find the value of constant b.

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A machine bought at P420,000 has an economic life of 6yrs. with a salvage value of P50,000.00. Cost of money is 12% per year. The first year depreciation is found to be P105,714.00. What method of depreciation is used?

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A 15kg. block is pushed by an upward force P = 40N making an angle of 50° with the horizontal surface. What is the coefficient of friction between the horizontal surface and the block, when the block impends to slide.

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Find the difference between the sums of an annuity due and an ordinary annuity for the following data:

Periodic payment = P10,000.00

Payment interval = 1 year

Term = 20 years

Interest rate = 12% compounded annually

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A horizontal force of 250 N pushes a flat bottomed 600 N block on a horizontal surface from rest to a velocity of 22 m/s after traveling 120m. What is the coefficient of friction between the block and the surface.

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The sides of a triangle are a = 23.9 m., b = 36.3m. The angle opposite side b is 102.7°. Determine the length of side c.

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If DE = 5.745 cm., and the coordinates of D and E are (2, 5, 4) and (x, 3, 6) respectively, what is the value of x?

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A horizontal platform with a radius of 2.5 m. rotates about its center at a constant angular speed of 10 rad/min. Find the normal acceleration in m/s² of a point at the edge of the platform.

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What is the area of the hexagon inscribe by a circle having an area of 170 sq.m.

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The distance between points A(2, 10, 4)and B(x, 3, 6) is 9.434. What is the value of x.

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A particle moves along a path whose parametric equations are x = t³ and y = 2t². What is the velocity when t = 2 sec?

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Find the surface area generated by rotating the first quadrant portion of the curve x² = 16 – 18y about the y-axis.

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A nominal annual rate of interest rate of 6% compounded continuously is equivalent to an effective annual interest rate of:

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Solve for Ø if versed Sin Ø = 0.148.

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What is the magnitude of the vector F = 2i + 5j + 6k

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What is the equivalent value of 630 degrees in centisimal system.

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What is the altitude of a tetrahedron having a surface area of 140 sq.m.

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A nominal annual rate of interest rate of 6% compounded continuously is equivalent to an effective annual interest rate of:

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The horizontal axis of a transit was inclined at 4° with the horizontal due to non=adjustment. Te first sight had a vertical angle of 50°, the next had -39°. Determine the error in the measured horizontal angle.

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A structure used to prevent scouring and erosion and the carrying away of river banks.

a) dikes

b) levee

c) jetty

d) revetments

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If log_x 12 = 2.262. find the value of log_x 3.

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Using Pappus Theorem, determine the volume generated by revolving the area in the first quadrant and second quadrants bounded by the ellipse 4x² + 25y² = 100 and the x-axis, about the x-axis.

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Find the value of x in the equation (x + yi) (1 – 2i) = 7 – 4i

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The sides of a triangle ABC are AB = 18cm., BC = 10cm. and CA = 24 cm. Find the length of the median to the longest side.

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