A plane flies at a speed 560 km/hr at a constant height of 15 km. How rapidly is the angle of elevation to the plane changing when the plane is directly above a point 140 km away from the observer? The angle of elevation is changing at radians/hr (enter a positive value). Round your answer to 3 decimal places.

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) h(x) =…

A:

Q: 3-1 D. Is the function k(x) = x2-1 2,x = 1 continuous at x = 1? %3D

A:

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

A:

Q: 1. f(x)= 5x+3 2. f(x)=-4x+2

A:

Q: Late dx sec2 x (b) [*. dx /1 – tan² x VT(x+4) |

A:

Q: A (4, 270°) (ounter= 909 120° 60° 150° 3.0° 180 0° 210° 330° 240° 300° 270°

A: We have to find the other  three coordinates.

Q: 3. Find the first 4 terms of the Maclaurin series expansion for each of the functions below. sin 2r…

A: We have to find the maclaurian series expansion.

Q: 8olve the tollowing paots By Pong division method @(2x+10x+12)÷ (x+3) D(4x²-7x²-11x+5) = (4x+) b. O…

A:

Q: If a point has polar coordinates r = -2 and 0 = , what are the Cartesian coordinates of the point?…

A:

Q: 2+w4 dw w3+9w

A:

Q: Determine whether the planes are parallel, orthogonal, or neither. 8x - 7y + z = 7 x + 2y + 6z = 1 O…

A:

Q: Given the following vectors ā = -1,–2),5 = (-3,-4),c = 2,-1),đ = (-4,3) %3D Use the dot product and…

A:

Q: What is the slope of the tangent to the curve x-y² -x = - 4'at (1,2)

A:

Q: Suppose f'(x) = sin(5a²). d dz F(8z) d f(7=*) = | dx

A: Given f'(x)=sin(5x2) which means ddxf(x)=sin(5x2). Now we need to findddxf(8x) and ddxf(7x8), now…

Q: 3n! 3n! Find lim State whether 2n=1 converges or diverges. n→∞ 4n!-1) 4n!-1

A:

Q: Find the unit vector of n = (4,-3) .

A:

Q: Q8. The general solution of the differential equation dy x-1 %3D -2 is dx y+2' Y #

A: Given query is to find the solution of the differential equation.

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

A: Here, the equation of the given plane is: -x+5y+z=6 Therefore, the normal of plane is (-1,5,1). Now,…

Q: 4. Find the general equation of the plane passes through the points (3,2,1) and (3,1,–5), and is…

A: We have to find the plane equation

Q: Determine the value of C in on the antiderivative of F(X) = sin (x)cos"(X) for x = 0.106 and y =…

A:

Q: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum…

A:

Q: A parabola with a negative latus rectum has endpoints at (5, 1) and (5, -11) Where is the vertex? *

A:

Q: dz dx dy 3 Assume x, y, and z are functions of t with z = x + y°. Find dt = 12, and y = 1. dt when =…

A:

Q: Differentiate the function In x f(x) = In 2x+3 %3D x>0

A: The given function is: f(x)=ln xln 2x+3,x>0

Q: Use the Ratio Test to find the radius of convergence of 2n= 10 (Use symbolic notation and fractions…

A: Solution of question is written in below steps.

Q: 2. f(x) = -7 tanx 3. y = 2 cscx 4. y= 4x cos x

A:

Q: B5: a) (10] Given the complex numbers z = 1- 21, zz = -1+ 31, 23 = 2+ i, z4 = -2 – 31. ) Plot all…

A:

Q: 1. Y = eee*

A: 1.Solution :y=eeexdydx=eeexddxeexdydx=eeexeexddxex

Q: 3. Find the interval fconvergence of the Sevies : 1-3(x-4) + 9 x-4)-..

A:

Q: 10x Find a power series for f(x) = |x| an. (x² + 1)² n=1 Hint: First, find the power series for…

A: To find the power s

Q: Differentiate the function In x f(x) = In 2x+3'

A:

Q: Determine the one-sided limit of the function f in the figure at the given point. 15 10- 5. (Use…

A: Given query is to find the Indicated limit.

Q: Let y 5x? + 4x + 3. If Ar 0.1 at I = 5, use linear approximation to estimate Ay

A:

Q: Consider the following. u = -6i – 2j – 4k, v = 2j + 2k %3D (a) Find the projection ofu onto v. (b)…

A:

Q: ential equation of the family of curves y B are arbitrary constants

A:

Q: Find the component form of v given the magnitudes of u and u + v and the angles that u and u + v…

A:

Q: Let y = 5x + 4c +3. If Ar 0.1 at z 5, use linear approximation to estimate Ay

A:

Q: Find the volume of the solid under the plane 9x + 3y – z = 0 and above the region bounded by y = x…

A: Solution: y = x y = x4

Q: Find the indicated partial derivatives. f(r, s, t) = r In(rs®r®); f fst rss' frss(r, s, t) = frst(r,…

A: Consider the function, f(r, s, t) = r ln(rs⁸t⁸). The objective is to find the partial derivatives…

Q: 4x-6z+5 2+3cosz sin z 9. Find dz.

A: Here we have to integrate the given Integral.

Q: Find the interval of convergence of n 2(-1)". 64" n=0 (Give your answer as an interval in the form…

A: This is a problem related to series and sum calculator. Based on the general formula we will solve…

Q: Given f - and 6 = - 4, 5 > , find 5ƒ + 66. 5f + 66 - <

A: Make a component wise addition and multiplication.

Q: Evaluate the iterated integral by converting to polar coordinates. V4 - x 2 x² - y² dy dx

A:

Q: (Use symbolic notation and fractions where needed. Enter DNE if the limit does not exist. Use the o…

A:

Q: The radius of a sphere is increasing at a rate of 5 mm/s. How fast is the volume increasing when the…

A: The radius of the sphere is increasing at a rate of 5mm/sits diameter is 80 mm

Q: Differentiate the function: a) f(x) = e10z–2» = el003-2x b) f(x) = Vª + 2 c) f(x) = (4x7 – 2x*)5

A:

Q: You are designing a dome house in the shape of a hemisphere with a 60.0 ft outside diameter. (Round…

A: Note: According to policy of our company we will solve the first 3 sun questions. If you need the…

Q: Use the definition of a normal subroup to prove Proposition 2.3.7: IfGis an Abelian group, then…

A:

Q: The linear approximation at r 0 to sin(2r) is A+ Br where A is: and where B is:

A:

Q: Match the integral expression on the left to an equal expression on the right. Prompts Submitted…

A: 1. =∫2sin(3x) sin(4x) 2 dx=∫12-cos3x+4x+cos(3x-4x) dx=∫12-cos7x+cosx dx=∫12[cos(x)-cos(7x)] dx