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mathematics
basic technical mathematics

Questions and Answers of Basic Technical Mathematics

Solve the given equations algebraically and check the solutions with a graphing calculator. √3x + 4 = x
Solve the given equation.2t + 7 = 15√t
Solve the given problems algebraically.Solve for x:log(x4 + 4) − log(5x2) = 0.
The edges of a rectangular piece of plastic sheet are joined together to make a plastic tube. If the area of the plastic sheet is 216 cm2, and the volume of the resulting tube is 224 cm3, what are
Solve the given equation. 2 (47)² + 2x x + 1 = 8
The power developed in an electric resistor is i2R, where i is the current. If a first current passes through a 2.0-Ω resistor and a second current passes through a 3.0-Ω resistor, the total power
A 4.60-m insulating strip is placed completely around a rectangular solar panel with an area of 1.20 m2. What are the dimensions of the panel?
Solve the given equation. √3x + √√3x + 4 = 4
A triangular sail has sides of 10.5 m, 8.5 m, and 5.0 m. Find the height of the sail to the 10.5-m side.
Solve the given equations algebraically and check the solutions with a calculator.2x + 32(2−x) = 12
A helicopter travels east at 45 mi/h, then turns north at 40 mi/h. If the total trip takes 5.0 h, and the helicopter ends at a point 150 mi north of east of the starting point, how long was each part
Solve the given equation.2(x + 1)2 − 5(x + 1) = 3
Solve the given equation. √x - √2x = 2
One face of a washer has an area of 37.7 cm2. The inner radius is 2.00 cm less than the outer radius. What are the radii?
A 2-kg block collides with an 8-kg block. Using the physical laws of conservation of energy and conservation of momentum, along with given conditions, the following equations involving the velocities
Solve the given equation algebraically and check the solutions with a calculator.(log x)2 − 3log x + 2 = 0
Solve the given equation. √√x + 10 √x - 2
A rectangular security area is to be enclosed by fencing and divided in two equal parts of 1600 m2 each by a fence parallel to the shorter sides. Find the dimensions of the security area if the total
Solve the given equation.ex + e−x = 2
Solve the given equation algebraically and check the solutions with a calculator.3x2/3 = 12x1/3 + 36
By drawing rough sketches, show that a parabola and an ellipse can have 0, 1, 2, 3, or 4 possible points of intersection.
Solve the given equation.4(ln x)2 − ln x2 = 0
Solve the given equation. √x - 9 36 √x - 9
A rocket is fired from behind a ship and follows the path given by h = 3x − 0.05x2, where h is its altitude (in mi) and x is the horizontal distance traveled (in mi). A missile fired from the ship
Solve the given equations algebraically and check the solutions with a calculator.x + 2 = 3√x
Solve the given equation. √5x4√x = 2
Solve the given equation.6x − 9√x − 15 = 0
Solve the given systems of equations graphically by using a calculator. Find all values to at least the nearest 0.1.ex2+y2 = 20ху = 4
For what value of b are the two solutions of the system x2 − 2y = 5; y = 3x + b equal to each other? For this value of b, what is true of the graphs of the two functions?
Solve the given equation. √6x - 5 - √x + 4 = 2
Solve the given equations algebraically and check the solutions with a calculator.x−2 − x−1 − 42 = 0
Solve the given equation.D−2 + 4D−1 − 21 = 0
Solve the given systems of equations graphically by using a calculator. Find all values to at least the nearest 0.1. y = In(x - 1) sin+x y =
Solve the given systems of equations graphically by using a calculator. Find all values to at least the nearest 0.1.10x + y = 150y = x²
Solve the given equation. √x - 7 = √x - 7
Solve the indicated systems of equations algebraically. Solve for x and y: x2 − y2 = a2 − b2 ; x − y = a − b.
Solve the given equation algebraically and check the solutions with a calculator.x4 − 20x2 + 64 = 0
Solve the given equation. √5x +11 3√x
Solve the given equation.x1/2 + 3x1/4 − 28 = 0
Solve the given systems of equations graphically by using a calculator. Find all values to at least the nearest 0.1.y = cos xy = log3 x
Solve the given systems of equations algebraically.x² + y2 − 4x − 2y + 4 = 0x² + y² − 2x − 4y + 4 = 0
Solve the equations algebraically.102x − 2(10x) = 0
Solve the given equation.x3/2 − 9x3/4 + 8 = 0
Solve the equations algebraically. (x + ²)² - 6x - ¹2 = -9 12
Solve the given systems of equations algebraically.x² + y² + 4x = 1x² + y² − 2y = 9
Solve the equations algebraically. 1 s² + 1 2 + s 2 +3 = 1
Solve the given equation. √√√x −1+√√√x + 2 = 3
Solve the equations algebraically.e2x − 3ex + 2 = 0
Solve the given equation.t6 − 26t3 − 27 = 0
Solve each of the given systems of equations algebraically. + X 36 X 3 y 36 y 4 13
Solve the given systems of equations graphically by using a calculator. Find all values to at least the nearest 0.1.2x² + 8y² = 32y = 2 ln x
Solve the equations algebraically. x²-3x = √√x² - 3x + 2
Solve the given systems of equations algebraically.5x² − 4y² = 153y² + 4x² = 12
Solve the given equation. √3-2√x
Solve the given equation.x4 − 20x2 + 64 = 0
Solve the given systems of equations graphically by using a calculator. Find all values to at least the nearest 0.1.x² − y² = 7y = 5 log x
Solve the given equation. √3-2√x √x
Solve the given systems of equations algebraically.x² + 3y² = 372x² − 9y² = 14
Solve the given systems of equations graphically by using a calculator. Find all values to at least the nearest 0.1.y = 2x+1x² + y² = 4
Solve the equations algebraically. 1 (x - 1)² + 1 x - = 12
Solve the given systems of equations algebraically.3x² − y² = 4x² + 4y² = 10
Solve the given equation, explain how the extraneous root is introduced. √13 + √√x = √√x + 1
Solve the given systems of equations graphically by using a calculator. Find all values to at least the nearest 0.1.y = e−x y = x2/3
Solve each of the given systems of equations algebraically.4x2 + 3xy = 4x + 3y = 4
Solve the given systems of equations algebraically.x² + y² = 25x² − 2y² = 7
Solve the equations algebraically. x - = -3√x 2 6 (Let y = √x - 2.)
Solve the given equation.x − 3x√x = 0
Solve the given systems of equations graphically by using a calculator. Find all values to at least the nearest 0.1.y = 3 + 2x − x²y = 2 cos2x
Solve each of the given systems of equations algebraically.s − t = 6√s − √t = 1
Solve the given equation. √5 + √√x = √√x - 1
Solve the equations algebraically.x6 + 7x3 = 8
Solve the given equation. √√√x²-x-4 = x + 2
Solve each of the given systems of equations algebraically.4x2 − 7y2 = 21x2 + 2y2 = 99
Solve the given systems of equations graphically by using a calculator. Find all values to at least the nearest 0.1.y = x2/4y = sin x
Solve the given systems of equation algebraically.D² − 1 = RD² − 2R² = 1
Solve each of the given systems of equations algebraically.x2 + 7y2 = 562x2 − 8y2 = 90
Solve the given systems of equations graphically by using a calculator. Find all values to at least the nearest 0.1.x² + y² = 4y² = x + 4
Solve the given systems of equations algebraically.s² + t² = 8st = 4
Solve the given equation, explain how the extraneous root is introduced. √x + 4 + 8 = x
Solve the given equation algebraically.(x2 − 1)2 + (x2 − 1)−2 = 2
Solve each of the given systems of equations algebraically.4u2 + v = 36u + 9v = 3
Solve the given systems of equations graphically by using a calculator. Find all values to at least the nearest 0.1.x² + y² = 7y(x + 2) = 3
Solve the given equation. t² = 3√√21² - 3
Solve the given systems of equations algebraically.x² − 3y = −8x² + y² = 10
Solve the given equation algebraically.(x2 − 2x)2 − 11(x2 − 2x) + 24 = 0
Solve each of the given systems of equations algebraically.y = x22x2 − y2 = 1
Solve the given systems of equations graphically by using a calculator. Find all values to at least the nearest 0.1.x² − 3y² = 22x² + y² = 16
Solve the given equation. √√x²-11 5 =
Solve the given systems of equations algebraically.M = L² −12L² − M² = 2
Solve each of the given systems of equations algebraically.3R = L2R2 + L2 = 4
Solve the given equations algebraically.(C + 1)−2/3 + 5(C + 1)−1/3 − 6 = 0
Solve the given systems of equations graphically by using a calculator. Find all values to at least the nearest 0.1.2x² + 3y2 = 19x² + y² = 9
Solve the given systems of equations algebraically.y = x²y = 3x² − 50
Solve the given equations algebraically.(x − 1) − √x − 1 = 20
Solve each of the given systems of equations algebraically.x = y = 12xy = 20
Solve the given systems of equations graphically by using a calculator. Find all values to at least the nearest 0.1. y = 2x² − 4xx²y = −4
Solve the given systems of equations algebraically.xy = −42x + y = −2
Solve the given equation. 4/5x2
Solve the given equations algebraically.3x4/3 + 5x2/3 = 2
Solve the given equation.6√x + 4 = 4x

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