A cross section of a parabolic mirror used in this type of parabolic solar collector can be modeled by where x and y are measured in feet. The oil-filled tube is located at the focus of the parabola as shown in the figure below Describe the graph of the collector with respect to three dimensions. If the collector is 18 feet long, determine the surface area of the collector and the equation of the focal line.

Q: It is known that the population of a certain country at time t is proportional to the people living ...

A:

Q: Please solve in steps. And highlight main equations.

A: The given curve is: σ(t)=sin(t) cos(t), 3t2, et

Q: Find the slope of the curve at the indicated point. 3 25) y=8+ X -x=7 A) m = B) m =- 75 C) m = D) m ...

A:

Q: If f(x) – 5 + 3x 5a, find f'(3).

A:

Q: Calculate the area of one petal of r = sin 40

A:

Q: Convert the equation to the standard form for a hyperbola by completing the square on x and y. a2 - ...

A:

Q: A thermometer indicating 18 degrees Fahrenheit is placed in a room with a temperature of 70 degrees ...

A: Given:- thermometer indicating 18 degrees Fahrenheit is placed in a room with a temperature of 70 de...

Q: Find the limit if it exists. lim (3x+ 8) X -4 ... Select the correct choice below and, if necessary,...

A:

Q: esin² 3y? dy csc 6y

A: The Value of the given integral is esin²3y²/6

Q: 2. (D³ + 3D² – 4)y = 0 -

A:

Q: Evaluate the indefinite integral (7t)cos(10t) dt %3D + C

A: 2 cos(A)sin(B) = sin(A+B) - sin(A-B)

Q: a? + 6x + 9 1. For the function g (a) answer each of the following questions. %3D x² + 3x (a) Evalua...

A: We need to find values of function at x values.

Q: 5. (D² – 4D + 4)y = 12x + 2e3*

A:

Q: xdx 3 —х

A:

Q: Find the standard form of the equation of the parabola with the given characteristic(s) and vertex a...

A:

Q: (») LLa (1-y? In(x² + y² + 1) dx dy 1-у2

A: Given: ∫-11∫-1-y21-y2    lnx2+y2+1dxdy

Q: Given functions m(x) = = VE and h(z) = z - 4, state the domains of the following functions using %3D...

A:

Q: Find the solution of the following initial-value problem d?y, dy dy + 4y = e", y(0) = 1, (0) = 2 dr ...

A: NOTE: Refresh your page if you can't see any equations. . for the homogeneous system, the auxiliar...

Q: d. At what ordered pair location does the tangent line make contact with h(x)? (Give your answer in ...

A:

Q: 3. The disk and cylindrical shell methods for calculating the volume of a solid of revolution always...

A:

Q: 2) The limit below represents the derivative of some function f(x) at some number a. limh→02(2+h)^6...

A:

Q: 7. Find the arc length of each curve (integrate by hand) a) x = -8y– 3 on [– 2,6] b) y = , 3 on [0,6...

A: Here we have to find the arc length of the given curves.

Q: V ? x -dx 1-31nsec cot x

A: ∫ tanx × (1-6ln Sec x)1/2 dx  

Q: Find the vertical shift of the sinusoidal function. fx 7- 5- 4 720 540 360° 180 081 360 540 72에 -2 -...

A:

Q: Whic of the following is NOT a solution of 2 sin? t – cost - 1 = 0 if 0 <t < 2n ?

A: Follow the procedure given below.

Q: Let f(z) = { - 4 + 9 if z 2 Find lim f(x), if it exists. 01 O DNE 00 02

A:

Q: A stone is thrown vertically upward with a velocity of 40 feet per second from the top of a tower 20...

A:

Q: Activity 2.Solve for the derivatives of the following functions. Write your answers on a separate sh...

A:

Q: 6. Statement 1: The number of students who are present in Filemon T. Lizan SHS for the first day of ...

A: discreate variable means countable variable and continuous veriable means uncountable variables. 

Q: The base of the solid is a square, one of whose sides is the interval [0, 4] along the the x-axis. T...

A: Explained below 

Q: Which of the following statements is/are TRUE? 1. The range of f(x) = tan a is (-o, +o0). %3D II. Th...

A: considering statement 1f(x)=tanxmin value of tanx is -∞ at x=-π2 and max value is∞ at x=π2Hence rang...

Q: 3. (D³ + 2D² + D + 2)y = 0

A: The given differential equation is; (D3+2D2+D+2)y=0  

Q: Let a = 3i – 6j + 4k and b = 2i + j – 2k. a Find c, the vector component of a perpendicular to b. b ...

A:

Q: nd the volume of a solid obtained by rotating the region underneath the graph of f(x) = 3x³ about th...

A: We have to find volume

Q: A particle starts at point (1, 0, 1) and moves 2 units along the curve defined by a vector equation ...

A: A particle starts at point (1, 0, 1) and moves 2 units along the curve defined by a vector equation ...

Q: xy dA, where D = {(x,y) | sin x <y < 1/2,0<

A:

Q: 1 lim ty1 + t

A:

Q: S(x5 + 10)®x*dx 4 X.

A:

Q: The parabola y + 2y + 8x –7=0 has vertex at O (-1, –1) o (-1,1) о (1,-1) о (1,1)

A:

Q: If f(x) 3. find f'(4).

A:

Q: Determine whether it is possible to express 1 as a liner combination of 1= m· 44 + n·91,. for some i...

A:

Q: Igure 3 below shows the region W bounded by the curve y x? and the line y = x. y dd or cre (6,6) rk ...

A:

Q: Find the area enclosed by the x-axis and the curve y= 9 – x². (A) 36 square units B 18 square units ...

A:

Q: 12. What is the graph of the absolute value equation |x| ≤ 2?

A:

Q: 8x+5<15

A:

Q: 5. After a new version of a certain type of computer is released, the total worldy profits (in billi...

A:

Q: Which angles have the same sine value? and 3. O T and 3 3 o 4T and 3 - 3 and 3 3

A: As we know that from the trigonometric identities; 1). sinπ+x=-sinx2). sinπ-x=sinx   And 3). sinπ3=3...

Q: Find the equation of the tangent line to the curve y 8 sin r at the point The equation of this tange...

A: Given query is to find the equation of tangent line. Since slope of  tangent is given by derivative ...

Q: Express the function below in rectangular form, (-1+i)-1+i

A:

Q: Evaluate the integral of * 4xV16 x2 using the new variable. а. 2/3 оБ. 256/3 c. 255/3 O d. 15/3

A: