Question

In Exercises 35–38,  find an equation for the line through P perpendicular to v. Then sketch the line. Include v in your sketch as a vector starting at the origin.

35. P(2, 1), v = i + 2j

36. P(-1, 2), v =-2i - j

37. P(-2, -7), v =-2i + j

38. P(11, 10), v = 2i - 3j.

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: Find the area enclosed by the ellipse x = a cos t, y = b sin t, 0<= t<= 2pai.

A: Given,

Q: lim tan^-1 x divided by x where x is 0 would that be considered undefined?

A: Click to see the answer

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 center, foci, vertices, asymptotes, and radius, as appropriate, of the conic sections in Ex...

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

Q: Under what conditions can you find the area of the surface gener-ated by revolving a curve x = ƒ(t),...

A: Click to see the answer

Q: I need to compute each limit. The limit is ... lim x -&gt; -3 x2 + x - 6 ————— x3 + 27

A: Given,

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: The hyperbola (y2/4) - (x2/5) = 1 is shifted 2 units down to generate the hyperbola ( y + 2)2 /4 - x...

A: Given:

Q: Substituting t=0 for the inital equation qoul get &lt;-1,02&gt;, and again with the derivative foem,...

A: Given

Q: What do you know about rearranging the terms of an absolutely convergent series? Of a conditionally ...

A: Click to see the answer

Q: I just need #20

A: Given,

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

A: Given information:

Q: Find an equation for the set of points equidistant from the point (0, 0, 2) and the x-axis.

A: To determine the equation for the set of the points.

Q: Find equations for the sphere whose centers and radii are given in center(0,-1,5) radius 2

A: Equation of sphere centered at (a, b, c) and having radius r is

Q: Find the first four terms of the binomial series for the functions in Exercises 1–4. 1. (1 + x)^1/2 ...

A: Since we only answer the first question, we’ll answer the first. Please resubmit the question and sp...

Q: 50. A tow truck drags a stalled car along a road. The chain makes an angle of 30° with the road and ...

A: According to the given information:Force = 1500 NChain makes an angle 300It is required to calculate...

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: The given equation is either linear or equivalent to a linear equation. Solve the equation. (If ther...

A: Given,

Q: Find an equation for the set of all points equidistant from the point (0, 0, 2) and the xy-plane.

A: Let any such point is given by (x,y,z)(x,y,z) is z units away from the xy plane.

Q: The autonomous differential equations in Exercises 9–12 represent models for population growth. For ...

A: Consider the provided autonomous differential equation,

Q: Find an equation for the set of all points equidistant from the planes y = 3 and y =-1.

A: Find an equation for the set of all points equidistant from the planes y = 3 and y = -1.

Q: Show that if the graph of a twice-differentiable function ƒ(x) has an inflection point at x = a, the...

A: Find the reason why the tangents lines fit well at the inflation points

Q: describe the given set with a single equation or with a pair of equations. The set of points in spac...

A: Let any such point = (x,y,z) So, (x,y,z) is 2 units from the point (0, 0, 1) .Express this using dis...

Q: Use the Euler method with dx = 0.2 to estimate y(2) if y′ = y/x and y(1) = 2. What is the exact valu...

A: Consider the provided differential equation with given condition,

Q: Find the point on the parabola x = t, y = t2, -infinity&lt;=t &lt;=infinity, closest to the point (2...

A: Consider the required point as (x,y)Consider the formula of distance between the two points. 

Q: dy/dx (y=x^2(4x+1)^3)

A: To find dy/dx we differenciate both sides with respect to x.On the right side use the Product rule.(...

Q: Find the limit analytically

A: Given, limit function is

Q: (y/x+6x)+(ln x−2)y′=0,x&gt;0

A: Consider the given differential equation.

Q: Find the volume swept out by revolving the region bounded by the x-axis and one arch of the cycloid ...

A: Given:

Q: y′=5−3√y

A: Consider the given differential equation.

Q: consider the product of 3 functions w= f x g x h. Find an expression for the derivative of the produ...

A: Given functions are f, g , hTheir derivatives are given by f ' , g ' , h '

Q: Can someone show me how to get to the answer in the problem?

A: Given integral

Q: Replace the Cartesian equations in Exercises 56–61 with equivalent polar equations. 56. x - y = 3 57...

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

Q: The wind passing over a boat’s sail exerted a 1000-lb magnitude force F as shown here. How much work...

A: The wind passing over a boat’s sail exerted a 1000-lb magnitude force F 

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: What substitutions are sometimes used to transform integrals in-volving sqrt(a2 - x2), sqrt(a2 + x2)...

A: Formulas for the given type of forms is shown below:

Q: The rectangles in the graph below illustrate a left endpoint Riemann sum for f(x)=(x^2)/(12)     f(x...

A: Given:

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: What is a Maclaurin series?

A: The Maclaurin series of f is the Taylor series generated by,

Q: Looking for help for all of the questions with lines next to them.

A: Since you have asked multiple questions, we will solve the first three questions for you. If you wan...