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study help
mathematics
precalculus 1st
Precalculus 1st Edition Jay Abramson - Solutions
For the following exercises, use a graphing calculator to sketch the graph of the polar equation.r = 2sin θ tan θ, a cissoid
For the following exercises, describe the graph of the set of parametric equations.Write the parametric equations of an ellipse with center (0,0), major axis of length 10, minor axis of length 6, and a counterclockwise orientation.
For the following exercises, use a graphing calculator to complete the table of values for each set of parametric equations. [x₁ (t) = t4 |y₁₂(t) = t³ +4
For the following exercises, plot the points.(−1, −π/2)
For the following exercises, use a graphing calculator to complete the table of values for each set of parametric equations.Find two different sets of parametric equations for y = (x+1)2.
For the following exercises, find the area of each triangle. Round each answer to the nearest tenth. 9 58⁰ 11 51%
For the following exercises, write the vector shown in component form.
For the following exercises, eliminate the parameter t to rewrite the parametric equation as a Cartesian equation.Parameterize the line from (−2, 3) to (4, 7) so that the line is at (−2, 3) at t = 0 and (4, 7) at t = 1.
For the following exercises, use a graphing calculator to sketch the graph of the polar equation. r = 2V1-sin 0, a hippopede
For the following exercises, plot the complex number in the complex plane.−3 − 3i
For the following exercises, find the area of the triangle. Round to the nearest hundredth. 8 12 17
For the following exercises, use a graphing utility to graph on the window [−3,3] by [−3,3] on the domain [0,2π) for the following values of a and b , and include the orientation.a = 1, b = 2 [x(t) = sin(at) y(t) = sin(bt)
For the following exercises, make a table of values for each set of parametric equations, graph the equations, and include an orientation; then write the Cartesian equation. [x(t) = 3t² [y(t) = 2t - 1
For the following exercises, plot the points.(3.5, 7π/4)
For the following exercises, find the area of each triangle. Round each answer to the nearest tenth. 40° 25 18
For the following exercises, use a graphing calculator to complete the table of values for each set of parametric equations.Find two different sets of parametric equations for y = 3x−2.
For the following exercises, write the vector shown in component form.Given initial point P1 = (2, 1) and terminal point P2 = (−1, 2), write the vector v in terms of i and j, then draw the vector on the graph.
For the following exercises, find the area of the triangle. Round to the nearest hundredth. 22 50 36
For the following exercises, use a graphing calculator to sketch the graph of the polar equation.r = 5 + cos(4θ)
For the following exercises, use a graphing utility to graph on the window [−3,3] by [−3,3] on the domain [0,2π) for the following values of a and b , and include the orientation.a = 2, b = 1 [x(t) = sin(at) y(t) = sin(bt)
For the following exercises, plot the points.(−4, π/3)
For the following exercises, make a table of values for each set of parametric equations, graph the equations, and include an orientation; then write the Cartesian equation. [x(t) = e¹ y(t) = -2e5t
For the following exercises, use a graphing calculator to complete the table of values for each set of parametric equations.Find two different sets of parametric equations for y=x2−4x+4.
For the following exercises, find the area of each triangle. Round each answer to the nearest tenth. 30° 115⁰ 30 50
For the following exercises, write the vector shown in component form.Given initial point P1 = (4, −1) and terminal point P2 = (−3, 2), write the vector v in terms of i and j. Draw the points and the vector on the graph.
For the following exercises, find the area of the triangle. Round to the nearest hundredth. 1.9 4.3 2.6
For the following exercises, plot the complex number in the complex plane.−1 − 5i
For the following exercises, use a graphing calculator to sketch the graph of the polar equation.r = 2 − sin(2θ)
For the following exercises, use a graphing utility to graph on the window [−3,3] by [−3,3] on the domain [0,2π) for the following values of a and b , and include the orientation.a = 3, b = 3 [x(t) = sin(at) y(t) = sin(bt)
For the following exercises, make a table of values for each set of parametric equations, graph the equations, and include an orientation; then write the Cartesian equation. x(t) = 3cos t [y(t) = 2sin t
For the following exercises, plot the points.(5, π/2)
For the following exercises, find the area of each triangle. Round each answer to the nearest tenth.Find the radius of the circle in Figure 18. Round to the nearest tenth. 145° Figure 18 3 لا
For the following exercises, write the vector shown in component form.Given initial point P1 = (3, 3) and terminal point P2 = (−3, 3), write the vector v in terms of i and j. Draw the points and the vector on the graph.
For the following exercises, find the area of the triangle. Round to the nearest hundredth. 8.9 12.5 16.2
For the following exercises, plot the complex number in the complex plane.3 + 2i
For the following exercises, use a graphing calculator to sketch the graph of the polar equation.r = θ2
For the following exercises, use a graphing utility to graph on the window [−3,3] by [−3,3] on the domain [0,2π) for the following values of a and b , and include the orientation.a = 5, b = 5 [x(t) = sin(at) y(t) = sin(bt)
For the following exercises, plot the points.(4, −5π/4)
For the following exercises, make a table of values for each set of parametric equations, graph the equations, and include an orientation; then write the Cartesian equation.A ball is launched with an initial velocity of 80 feet per second at an angle of 40° to the horizontal. The ball is released
For the following exercises, find the area of each triangle. Round each answer to the nearest tenth.Find the diameter of the circle in Figure 19. Round to the nearest tenth. 8.3 110° Figure 19
For the following exercises, use the given magnitude and direction in standard position, write the vector in component form. |v| = 6, θ = 45 °
For the following exercises, solve for the unknown side. Round to the nearest tenth. 20 60° 28
For the following exercises, evaluate each root. Evaluate the cube root of z when z = 32cis (2π/3).
For the following exercises, find the polar coordinates of the point. П Ela Эл 2 -0
For the following exercises, graph the polar equation. Identify the name of the shape.r = − 3θ
For the following exercises, use the table feature in the graphing calculator to determine whether the graphs intersect. [x₂ (t) = t² y₁ (t) = 2t - 1 and x₂(t) = -t+6 |y₂(t)=t+1
For the following exercises, find the area of each triangle. Round each answer to the nearest tenth. 16 30% 10
For the following exercises, describe the graph of the set of parametric equations.y(t) = t2 and x(t) is linear
For the following exercises, use the vectors shown to sketch u − 3v. H I IDIO
For the following exercises, eliminate the parameter t to rewrite the parametric equation as a Cartesian equation. x(t) = 3t-1 [y(t) = √t
For the following exercises, solve for the unknown side. Round to the nearest tenth. 16 30⁰ 10
For the following exercises, evaluate each root.Evaluate the square root of z when z = 32cis(π).
For the following exercises, use a graphing calculator to complete the table of values for each set of parametric equations. x, (t) = 3t² - 3t+7 y(t) = 2t+3
For the following exercises, find the polar coordinates of the point. 11 Эл 2 0
For the following exercises, eliminate the parameter t to rewrite the parametric equation as a Cartesian equation. x(t) = - cost ly(t) = 2sin² t
For the following exercises, use a graphing calculator to sketch the graph of the polar equation.r = 1/θ
For the following exercises, find the area of each triangle. Round each answer to the nearest tenth. 18 15 25°
For the following exercises, describe the graph of the set of parametric equations.y(t) = − t2 and x(t) is linear
For the following exercises, use the vectors shown to sketch u − 3v. III
For the following exercises, solve for the unknown side. Round to the nearest tenth. 22° 13 20
For the following exercises, evaluate each root.Evaluate the cube root of z when z = 8cis (7π/4).
For the following exercises, use a graphing calculator to sketch the graph of the polar equation.r = 1/√ θ
For the following exercises, rewrite the parametric equation as a Cartesian equation by building an x-y table. x(t)=4-t y(t) = 3t+ 2
Graph r = 3 − 5sin θ.
For the following exercises, graph the polar equation. Identify the name of the shape.r = 5 + 7sin θ
For the following exercises, find the magnitude and direction of the vector, 0 ≤ θ < 2π.Given u = 3i − 4j and v = −2i + 3j, calculate u ⋅ v.
For the following exercises, find the powers of each complex number in polar form.Find z2 when z = 4cis (π/4).
For the following exercises, find the measure of angle x, if possible. Round to the nearest tenth. 5.7 X 5.3 59°
For the following exercises, use the vectors shown to sketch u + v, u − v, and 2u. U V
For the following exercises, evaluate each root. Evaluate the cube root of z when z = 64cis(210°).
For the following exercises, graph the polar equation. Identify the name of the shape.r = 4sin(5θ)
For the following exercises, evaluate each root. Evaluate the cube root of z when z = 27cis(240°).
For the following exercises, find the measurement of angle A. 38.7 A 40.6 23.3
For the following exercises, graph the polar equation. Identify the name of the shape.r = −θ
For the following exercises, find the polar coordinates of the point. П+ FIN Зл 2 0
For the following exercises, use the parametric equations for integers a and b:x(t) = acos((a + b)t) y(t) = acos((a − b)t)If the parametric equations x(t) = t2 and y(t) = 6−3t have the graph of a horizontal parabola opening to the right, what would change the direction of
For the following exercises, find the measure of angle x, if possible. Round to the nearest tenth. 12 10 65° X
For the following exercises, use the vectors shown to sketch 2u + v. I u D▬▬▬▬▬▬
For the following exercises, parameterize (write parametric equations for) each Cartesian equation by using x(t) = a cos t and y(t) = b sin t. Identify the curve.Parameterize the line from (4,1) to (6,−2) so that the line is at (4,1) at t = 0, and at (6,−2) at t = 1.
For the following exercises, plot the complex number in the complex plane. 6 − 2i
For the following exercises, find the measurement of angle A.Find the measure of each angle in the triangle shown in Figure 11. Round to the nearest tenth. 10 12 Figure 11 B 7 A
For the following exercises, evaluate each root. Evaluate the square root of z when z = 16cis(100°).
For the following exercises, find the polar coordinates of the point. ㅠㅠ 플 3π 2 0
For the following exercises, graph the polar equation. Identify the name of the shape.r = 2θ
For the following exercises, describe the graph of the set of parametric equations. x(t) = − t2 and y(t) is linear
For the following exercises, use the table feature in the graphing calculator to determine whether the graphs intersect. x₁ (t) = 3t |y₁ (t) = 2t - 1 and x₂(t)=t+3 y₂(t) = 4t - 4
For the following exercises, solve the triangle. Round each answer to the nearest tenth. A 24.1 В 93⁰ 32.6 С
For the following exercises, plot the complex number in the complex plane.−1 + 3i
For the following exercises, use the vectors shown to sketch 2u + v. n II: LL
For the following exercises, convert the given polar equation to a Cartesian equation. Write in the standard form of a conic if possible, and identify the conic section represented.r2 = 4sec θ csc θ
For the following exercises, find the product z1 z2 in polar form.z1 = 10cis (π/6), z2 = 6cis (π/3)
For the following exercises, find the length of side x. Round to the nearest tenth. 22° 8.6 111°
For the following exercises, parameterize (write parametric equations for) each Cartesian equation by using x(t) = a cos t and y(t) = b sin t. Identify the curve.x2 /16 + y2 /36 = 1
For the following exercises, find the length of side x. Round to the nearest tenth. 50° 305 225 X
For the following exercises, given v, draw v, 3v and 1/2 v.〈2, −1〉
For the following exercises, find the powers of each complex number in polar form.Find z4 when z = 2cis(70°).
For the following exercises, graph the polar equation. Identify the name of the shape.r = 3sin(2θ)
For the following exercises, find the measure of angle x, if possible. Round to the nearest tenth. 1x 10 98⁰ 5
For the following exercises, use the parametric equations for integers a and b:x(t) = acos((a + b)t) y(t) = acos((a − b)t)Graph on the domain [−π,0], where a = 4 and b = 3, and include the orientation.
For the following exercises, convert the given polar equation to a Cartesian equation. Write in the standard form of a conic if possible, and identify the conic section represented.r = 4
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