Question

Find the distance from the

a. x-axis to the plane z = 3.

b. origin to the plane 2 = z - x.

c. point (0, 4, 0) to the plane y = x.

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Calculus

Related Calculus Q&A

Find answers to questions asked by students like you.

Q: A company produces wooden tables. The company has fixed costs of $2900, and it costs an additional $...

A: Recall that: Profit = Revenue – Expense

Q: A 200-gal tank is half full of distilled water. At time t = 0, a solution containing 0.5 lb /gal of ...

A: Given that the size of the tank is 200 gallon. Half of it is full, that means 200/2=100 gallon is fu...

Q: A brief calculation shows that if 0<=x<= 1, then the second de-rivative of ƒ(x) = sqrt(1 + x4)...

A: The Given information is,

Q: Find the area of the region that lies between the curves y = sec x and y = tan x from x = 0 to x = p...

A: We need to find the area of the region that lies between the curves y = sec x andy = tan x from x = ...

Q: Mixtures 9. Suppose that a large mixing tank initially holds 300 gallons of water in which 50 pounds...

A: Let the amount of salt in the tank at any time t is given by A(t).So the rate at which the amount of...

Q: what Taylor series would you choose to represent the function near the given value of x? (There may ...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: Find the distance from the point (3, -4, 2) to the a. xy-plane b. yz-plane  c.xz-plane.

A: a) Distance of (3, -4, 2) from xy plane:On xy plane , z=0. So, This point is 2 units away from the z...

Q: What are the Direct Comparison Test and the Limit Comparison Test? What is the reasoning behind thes...

A: Direct comparison test:

Q: y′=2x/(1+2y),y(2)=0

A: To determine the solution of the initial value problem and determine its maximum value.

Q: A wheel of radius a rolls along a horizontal straight line without slipping. Find parametric equatio...

A: Click to see the answer

Q: Find the value of c so that ƒ(x) = csqrt(x)(1 - x) is a probability density function for the random ...

A: Write the given expression and simplify it using the definition of probability density function.

Q: Solve the initial value problem tdy/dt + 2y = t3 , t> 0, y(2) = 1

A: Click to see the answer

Q: In the function:  f(x)= (4x^2)/((x^2)+4)  When is the function in concave up and concave down using ...

A: Given:

Q: A reservoir shaped like a right-circular cone, point down, 20 ft across the top and 8 ft deep, is fu...

A: Given: A reservoir shaped like a right-circular cone, point down, 20 ft across the top and 8 ft deep...

Q: (3x2 − 2xy + 2) + (6y2 − x2 + 3)y′ = 0

A: Given that(3x2 − 2xy + 2) + (6y2 − x2 + 3)y′ = 0(3x2 − 2xy + 2) + (6y2 − x2 + 3)(dy/dx) = 0(3x2 − 2x...

Q: Solve the inequality. Write your answer in interval notation. 4x-1/x Greater than or equal to 0

A: The given inequality is,

Q: Obtain the Taylor series for 1/(1 + x)2 from the series for -1/(1 + x).

A: Recall the following fact.

Q: How close is the approximation sin x = x when|x |<10^-3 ? For which of these values of x is x &lt...

A: Given information:

Q: For Exercises 75-78, shade the area in the complex plane. 75. (z = a + bila < 3, b 2 2) 76. (z = a +...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: Find the volume of the solid generated by revolving the region enclosed by the ellipse 9x2 + 4y2 = 3...

A: Find the volume of the solid generated by revolving the region enclosed by the ellipse 9x2 + 4y2 = 3...

Q: Find the centroid of the region enclosed by the x-axis and the cycloid arch x = a(t - sin t), y = a(...

A: Given data:

Q: Condense the following log expression. -2log3(xy)+4/5log3(z)^10+log3(x+1)

A: Condensing the logarithmic expression.

Q: The parabola y2 = 8x is shifted down 2 units and right 1 unit to generate the parabola ( y + 2)2 = 8...

A: Given equation of parabola after shifting

Q: (9x2+y−1)−(4y−x)y′=0,y(1)=0

A: Click to see the answer

Q: ư (yũ + Vũ) du =

A: Click to see the answer

Q: Find the volume of the solid formed by revolving the re-gion bounded by the graphs of y = sin x + se...

A: The given graph of the functions are

Q: 10. A motorist drives on a toll road to and from work each day and pays $4.25 in tolls one-way. a. W...

A: (a)It is given that the motorist drives on toll road and pays $4.25 in toll one day.Multiply the num...

Q: Use the given transformation to evaluate the integral. lr a?dA, where R is the region bounded by the...

A: Given,

Q: Exercises 9–11 give equations of parabolas. Find each parabola’s focus and directrix. Then sketch th...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: Find the limit of the trigonometric function. (If an answer does not exist, enter DNE.) lim cos(60) ...

A: We need to find the limit of the given trigonometric function.

Q: give the eccentricities of conic sections with one focus at the origin along with the directrix corr...

A: Problem 1:Recall the following fact.

Q: Find the area enclosed by the y-axis and the curve x = t - t2, y = 1 + e-t .

A: Click to see the answer

Q: Which polar coordinate pairs label the same point? a. (3, 0) b. (2, 7pai/3) c. (-3, 2pai) d. (-3, 0)...

A: a) (3,0)If we add pi with the angle then the radius will change its sign. So, (3,0) becomes (-3,0+pi...

Q: The Cinema Center consists of four theaters: Cinemas I, II, III, and IV. The admission price for one...

A: Click to see the answer

Q: In a psychology experiment, a person could memorize x words in  f(x) = 3x2 − x  seconds (for 0 ≤ x ≤...

A: a person could memorize x words in  f(x) seconds where

Q: The estimate sqrt(1 + x) = 1 + (x/2) is used when x is small. Estimate the error when | x|&lt; 0.01.

A: Taylor inequality state that, M is a positive real number such that

Q: The “triangular” region in the first quadrant bounded by the x-axis, the line x = 4, and the hyperbo...

A: Given,

Q: Use this formula to find the slope of the tangent line to the curve at the given x-value. f(x) = 2x...

A: Click to see the answer

Q: Find an equation for the curve traced by the point P(x, y) if the distance from P to the vertex of t...

A: First find the vertex and focus of x^2=4y 

Q: What is the Taylor series generated by a function ƒ(x) at a point x = a? What information do you nee...

A: With Taylor series, possible to guess what a function will look like in the area around the chosen p...

Q: Find all real solutions of the ordinary differential equations: y''+4y=x

A: The general equation of the solution is,

Q: Evaluate the indefinite integral. +32 sin(x33) dx

A: Given:

Q: Find equations for the tangents to the circle (x - 2)2 + ( y - 1)2 = 5 at the points where the circl...

A: Click to see the answer

Q: Use the table to evaluate each expression. 3 х f(x) 4 4 4 1 g(x) 3 4 (a) f(g(1)) (b) g(f(1)) (c) f(f...

A: Given a table

Q: Suppose that a certain population satisfies the initial value problem dy/dt=r(t)y−k,y(0)=y0,dy/dt=r...

A: Calculation:

Q: Consider the region R in the ry-plane that is described by the intersection of the four lines: 6x – ...

A: Given integral and region R is,

Q: Consider the infinite region in the first quadrant bounded by the graphs of y = 1 /x2 , y = 0, and x...

A: Given : The infinite region in the first quadrant bounded by the graphs of y = 1/x2 , y = 0, and x =...