Question

find equations for the
(a) tangent plane and
(b) normal line at the point P0 on the given surface. x2 + y2 - z2 = 18, P0(3, 5, -4)

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

Other

Related Calculus Q&A

Find answers to questions asked by students like you.

Q: In Exercises 7-12, compute the derivative.a(0) = (cos 30)i + (sin2 0)j + (tan 0)k

A: Given that, aθ=cos3θi+sin2θj+tanθk      ...(1)

Q: Graph the function by hand, not by plotting points, butby starting with the graph of one of the stan...

A: Definition used -          For trigonometric function -                       y =sinx           Ampl...

Q: Derivatives Find and simplify the derivative of the followingfunctions

A: Click to see the answer

Q: Find the multiplicative inverse of:

A: Given  The matrix is A=2153.

Q: Find a  domain on which f is one-to-one and a formula for the inverse off restricted to this domain....

A: We have given  function fx=4-x This function is one-one and onto for all set of real number ℝ . For ...

Q: A vector with magnitude 10 points in a direction 295 degrees counterclockwise from the positive x ax...

A: Click to see the answer

Q: Evaluate ∫sin3 x dx by splitting off a factor of sin x, rewriting sin2 x in terms of cos x, and usin...

A: the given integral is: ∫sin3x dx we have to evaluate the given integral by splitting off a factor of...

Q: Evaluate the following integral. ∫(49 dx)/(x3 - 7x2)

A: Given integral is I=∫49x3-7x2dx

Q: Find the quotient z1/z2 of the complex numbers.Leave answers in polar form.Express the argument as a...

A: the given complex number are: z1=cos 70°+i sin 70°z2=cos 230°+i sin 230° we have to find the quotien...

Q: ΜΑΤΗ 11 The variables have been defined, the objective and constraints have been written. Now, you m...

A: Click to see the answer

Q: In Exercises 7-12, compute the derivative. 7. r( t) = ( t, t 2 , t 3 )

A: Given: r(t)=t, t2, t3 To determine: Derivative of given vector

Q: 4) f (x) = fiod the interval Cs) on which %3D graph of f(x) is Concave up (if any)

A: Click to see the answer

Q: Let S be the hyperboloid x 2 + y 2 = z2 + 1 and let P = (a, {3, 0) be a point on S in the (x, y )-pl...

A:   Given:           S be the hyperboloid x2 + y2 = z2 + 1 and P = (α, β, 0) be a point on S in the xy...

Q: Evaluate the following limits, lim

A: We have to find , a) limx→∞x2e-x

Q: Graph the line y= -3

A: The line y=-3 is a line parallel to x-axis.

Q: Fill in the blank/s:The behavior of the graph of a polynomial function to the far left or the far ri...

A: The behavior of the graph of a polynomial function to the far left or the far right is called its en...

Q: d. 3) [cos πx]4 %3D dx

A: 3) To find the derivative

Q: Determine the possible points of discontinuity of the following functions and the type of discontinu...

A: Click to see the answer

Q: Find the inequality

A: Click to see the answer

Q: Let å = . Find a unit vector in the direction of a

A: Givena→=⟨4,−3,−4⟩

Q: Bottled water and medical supplies are to be shipped to survivors of an earthquake by plane. The bot...

A: Given that, The bottled water weighs 20 pounds per container. Medical kits weigh 10 pounds per kit. ...

Q: The equation of a circle is given below. Identify the center and the radius. Then graph the circle. ...

A: Click to see the answer

Q: 5iV3

A: The expression given is -75 is,  Simplifying the given expression ,  -75=5×5×3 ·-1. The value of -1 ...

Q: 22. Rewrite the expression as an algebraic function of x and y: sin(co os'x - tany).

A: Given, sincos-1x-tan-1y

Q: Find the complex fifth roots of 32(cos 5π/3 + i sin 5π/3). Write roots in rectangular form. If neces...

A: Given: z=32cos5π3+i sin5π3.

Q: If a rock is dropped from a height of 258 ft, its poistion t seconds after it is dropped until it hi...

A: Click to see the answer

Q: Find a point on x axis which is equidistant from A(2,-5) and B(-2,9)

A: Click to see the answer

Q: 9-12 - nth Term of a Geometric Sequence Find the nth term of the geometric sequence with given first...

A: Click to see the answer

Q: write the partial fraction decomposition of the rational expression: (2x2 - 18x - 12)/(x3 - 4x)

A: We have to write in partial fraction decomposition of the rational expression: 2x2-18x-12x3-4x Rewri...

Q: find ()* (e) (f) 16-14

A: Given : e 23-2f 16-34

Q: Match functions (A)-{C) with their derivatives (I)–(III) in Figure 16. y (A) (I) (B) (II) (C) (III) ...

A: Part (A) - We see that there are three points where the curve is changing phase, in oter words where...

Q: Find the product. (3x + 2)2

A: The given expression is (3x + 2)2

Q: find dy. y = xe-x

A: Differentiation: y=xe-xProduct rule:ddx(uv)=u.dvdx+v.dudx

Q: Convert the rectangular equation x2 + y2 + z2 − 2z = 0 to an equation in (a) cylindrical coordinates...

A: (a) Convert to  cylindrical coordinates as follows: Substitute x=rcosθ,y=rsinθ,z=z. x2+y2+z2-2z=0r2c...

Q: A piece of commercial real estate is priced at $4.50 per square foot. Find the cost, to the nearest ...

A: Given: A piece of commercial real estate is priced at $4.50 per square foot. A triangular lot measur...

Q: Use the form of the definition of the integral given in the theorem to evaluate the integral. (x2 + ...

A: Click to see the answer

Q: Do as indicated.

A: Given function is, gx=x           if x≤03           if 0<x≤13-x2   if 1<x≤4x-3     if  x>4

Q: What is the half-life of a substance?

A:                                      The half life of a substance is defined to be the time required...

Q: Suppose that T is to be found from the formula T = x (ey + e-y), where x and y are found to be 2 and...

A: Click to see the answer

Q: Compound Fractions Simplify the compound frac- tional expression. y 60. 3 - 1 59. 2.

A: Given  The compound fractions are  59. 1+1x1x-2 60.1-2y3y-1

Q: Solve the following differential equations, where D ≡d/dx:(a) (D^3 − 3D^2 + 4)y = 0(b) (2D^3 − D^2 +...

A: Consider the given: a)D3−3D2+4y=0A linear homogeneous ODE with constant coefficients has the form of...

Q: A water sprinkler sprays water over a distance of 20 feet while rotating through an angle of 130. Wh...

A: Click to see the answer

Q: Evaluate

A: Click to see the answer

Q: Please answer with procedurement and explanation.

A: Click to see the answer

Q: Find the equation of the bisectiors of the obtuse angle between the lines x + y - 5 =0 and x – 7y +7...

A: Click to see the answer

Q: Find the Maclaurin series for the functions x4 - 2x3 - 5x + 4

A: Given Function f(x)=x4-2x3+5x+4 As we know, The general formula for a Maclaurin series : f(x)=∑n=0∞f...

Q: Improper integrals Evaluate the following integrals or state that they diverge.

A: ∫-∞0ex dx

Q: Solve the logarithmic equation ln(x - 4) + ln(x + 1) = ln(x - 8). Be sure toreject any value of x th...

A: Given:  ln(x - 4) + ln(x + 1) = ln(x - 8)

Q: Numerically estimate the slope of the line tangent to the graph of the function f at the given input...

A: We are given that f(x)=5x f(1)=5f(0.9)=50.9=4.743416 The slope of secant at x=0.9 is - 5-4.7434161-0...

Q: Differentiate.  g(t) = (t- sqrt t ) t 1/3

A:        Given:                g(t) = (t - t) t13                      = t1 + 13 - t12 + 13           ...