Start your trial now! First week only $4.99!*arrow_forward*

Question

**Area of a roof over an ellipse** Find the area of the surface *S* that lies

in the plane *z* = 12 - 4*x* - 3*y* directly above the region *R* bounded by the ellipse *x*^{2}/4 + *y*^{2} = 1.

Tagged in

Math

Calculus

Find answers to questions asked by students like you.

Q: Line integrals Use Green’s Theorem to evaluate the following line integral. Assume all curves are or...

A: Click to see the answer

Q: Let f(t) be the piecewise linear function with domain 0 <t < 8 shown in the graph below (which is de...

A: Given the piecewise linear function f(t) with domain 0 to 8 So we are given with the graph of the d...

Q: For the following exercises, use the given values to find (f-')' (a).

A: Click to see the answer

Q: If Eº, ax – -2 and E2, bx – 25 Find the value of

A: We first expand the given sum

Q: Explain the meaning of the integral ∮C F ⋅ dr in Stokes’ Theorem.

A: Let S be a piecewise smooth oriented surface with a boundary that is a simple closed curve C with po...

Q: Tests of a bone discovered in a dig at Saint Joseph’s University contained 27% its original amount o...

A: Click to see the answer

Q: * In (x)dx

A: Click to see the answer

Q: Evaluate the integral ∫log2xdx.

A: Click to see the answer

Q: Determine the diameter of a hole that is drilled vertically through the center of the solid bounded ...

A: Click to see the answer

Q: convert the indefinite integral into definate integral using the interval [0,1]

A: To determine the value of definite integrals.

Q: Assume that two cities lie on the same north-south line and that the radius of the earth is 6400 km...

A: Click to see the answer

Q: Find functions f and g such that h = go f. (Note: The answer is not unique. Enter your answers as a ...

A: Given

Q: Volumes of solids Use a triple integral to find the volume of thefollowing solid. The solid bounded ...

A: Click to see the answer

Q: Jada deposited an amount of money in a bank 5 years ago. If the bank had been paying interest at the...

A: Initial amount= P =? Final amount=A=12000 Interest rate= r=4%= 0.04 Time= t= 5 years Number of time...

Q: (2.) The population of a certain breed of rabbits introduced onto an isolated island is given by 63 ...

A: Click to see the answer

Q: Electrical generation from wind turbines (large "windmills") is increasingly popular in Europe and t...

A: Click to see the answer

Q: A supplier of portable hair dryers will make x hundred units of hair dryers available in the market ...

A: Click to see the answer

Q: Find the derivative of the function. y = ln(ln x)

A: Click to see the answer

Q: Find lim tanx-x x2 sinx X

A: Click to see the answer

Q: convert the above indefinite integrals into definate integrals using the intervals [0,1]. please i n...

A: Click to see the answer

Q: Use the guidelines of this section to sketch the curve. y = x-1/x2

A: For denominator equal to 0 we get vertical asymptote So, x=0 is the horizontal asymptote There is ...

Q: find the largest and smallest values of f(x) = 2x³ + 3x² – 12x on [1,1.5]

A: Click to see the answer

Q: ketch the graph of the function f. Sx - 6 f(x) = if x s 3 1-2x + 3 if x > 3 y 1아 1아 -10 10 -10 10 -1...

A:

Q: 1

A: Click to see the answer

Q: Sketch the graph of the function f. (-2x + 4 if x 1 (x) = 3 x2 + 1 y 1아 1아 -10 10 -10 -5 10 -1아 -1아...

A: Given

Q: A weight is attached to a spring and reaches its equilibrium posi- tion (x = 0). It is then set in m...

A: a)

Q: Maximum Profit A corporation manufactures digital cameras at two locations. The cost of producing x,...

A: Given: Cost of producing x1 units Cost of producing x2 units Profit function is

Q: 2 3 The graph of the function f is above. At what x= a value(s) in the interval (-2, 5) does a. lim ...

A: Click to see the answer

Q: Find the derivative, r'(t), of the vector function. r(t) = (e-t, 4t - t, In(t) r'(t)

A: Click to see the answer

Q: Find an equation of the tangent line to the graph of y = f(x) when x = 2 if f(2) =-6 and f'(2) =5.

A: Click to see the answer

Q: Calculus Question

A: Click to see the answer

Q: Find the point on the line 6x + 2y –1 = 0 which is closest to the point (-7, –7).

A: Click to see the answer

Q: or formula (**). (Answer: (a) Let f(x) = x² – 3x + 2. Find f'(4) using either formula (*) 5)

A: Click to see the answer

Q: If f(x) = 6x'n (=), find f'(2).

A: We first take ln on both sides and expand the right side

Q: 6

A: We take limit n approaches infinity.

Q: Of the infinitely many lines that are tangent to the curve y= -Sinxand pass through the origin, ther...

A: Click to see the answer

Q: Cone and sphere The cone z2 = x2 + y2, for z ≥ 0, cuts thesphere x2 + y2 + z2 = 16 along a curve C.a...

A: Click to see the answer

Q: 7.3 [Essay] Find the monotone intervals and local extreme values. 7. [Package] Let f(x)=x² + ! * sig...

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3.Please resubmit the question and sp...

Q: find the center of mass of a thin plate of constantdensity d covering the given region. The region b...

A: Click to see the answer

Q: Evaluate the integral ∫ dx x4−1.

A: C=integrating constant

Q: Parametric descriptions Give a parametric description of the form r(u, v) = ⟨x(u, v), y(u, v), z(u, ...

A: Click to see the answer

Q: y"' – 3y" + 4y = 6+80cos(2x)

A: Click to see the answer

Q: series bind the limi t use to Siny limit tary y?cosy

A: Click to see the answer

Q: A function y(x) is given by the differential equation dy/dx=1/x+2x with the initial condition y(1)=0...

A: We separate the variables and then integrate C= integrating constant

Q: Find the point P on the graph of the function yY = /x closest to the point (11, 0) The x coordinate ...

A: Click to see the answer

Q: Find the critical points and the intervals on which the function f(x) = x* – 2x2, (x > 0) is increas...

A: For a critical point, we solve f'(x)=0

Q: How do you add two vectors geometrically? How do you add them algebraically?

A: To add the vectors we position them to head to tail Then we connect the loose end points of them T...

Q: Can you help me ,please ?

A: Click to see the answer

Q: Find the length of the curve. Vzti + etj + e-tk, Osts 3

A: Click to see the answer

Q: Find the derivatives of the functions ƒ(s) =√s - 1/√s + 1

A: Click to see the answer

Transcribed Image Text

z = 12 – 4x – 3y S is directly above R. 12 -- R is bounded by the ellipse + y? = 1. Area of S = V26 x area of R. Figure 17.53