Choose the point which shows the correct location for the polar coordinate (-3, 315°). 90° WIN 150° 4 45° T -7 radians 30° 3 radians- 6 15° 180° 12 0°27 360° B -6 radians 210° D 330 11 T 6 315° 6 4 radians- 270° A -1 radian 57 17 45 ř o09 2 radians 120° 135° 300° 57 _5 radians 225° 240°

Q: The range of the function f(x,y) =16-4x-9y is equal to. [0,1] [0, 16[ This option O This option [0.…

A:

Q: Water is fallins on a surface vettins A Greuer arca that is expanäns at a rate of 9/S. hov fost is…

A:

Q: complete

A:

Q: If y = a³ + e*, find y(4) when a = 0

A: Given: y=x3+ex   As we know that; The sum/difference rule: f±g'=f'±g' The Power law: ddxxn=nxn-1 And…

Q: A particle moves vertically (in inches) along the yoxis according to the position equation s(t)=> -…

A: We are given position equation of a particle moving vertically (in inches) along y-axis : s(t) =…

Q: Find a power series for the following function and determine the center and the radius of…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: The altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the…

A:

Q: graph for the function arctan(x).

A: f(x)=tan-1(x)

Q: If f'(x) =e*- 3 sin (x) und fco) = 4,what fcx)?

A: Topic = Integraion

Q: Set up integrals for both orders of integration. Use the more convenient order to evaluate the…

A:

Q: Find the maximum rate of change of the function f(x,y) = sin(xy) at the point (0,1) and the…

A:

Q: Let g(x) = :| f(t) dt, where f is the function whose graph is shown below. What is the value of g'…

A: Let gx=∫0x ft dt, where f is the function whose graph is shown below.To determine the value of g'8.…

Q: 3. Using the definition of the limit, and given that -7 lim x-2+ x – 2 - 0o, for any N > 0, there is…

A: Given that         limx-->2+{-7/(x-2)} = -∞

Q: tch the vector field with its graph. F(x, y) = yi y 事 5 -5- -6+ y 1信 I 5 5 -5+

A: Given  F(x,y)=yi Option (1) is correct by given graph

Q: Use the cylindrical shell method to calculate the exact volume of the solid formed by rotating the…

A: Given problem:- Use the cylindrical shell method to calculate the exact volume of the solid formed…

Q: Eliminate the parameter to find a Cartesian equation of the curve with parametric equations x = e^t…

A: Just put the exponential term value from one equation into the other and easily eliminate the…

Q: Find the area of the surface given by z = f(x, y) that lies above the region R. f(x, y) = Va2 – x2 R…

A:

Q: Set up and evaluate the integral for finding the area and moments about the x- and y-axes for the…

A:

Q: Just set up the integral. A spring has a natural length of 20 cm. A 40 Newton force is required to…

A:

Q: Find the gradient of the function at the given point. Function Point F(x, Y, z) = Vx + y² + z? (8,…

A:

Q: Set-up the integral for the area A(R) of the region R bounded by the circles y2 + x² = 4, and y2 +…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A:

Q: A lacker 20 feet lon3 is Kanin3 azainst th Wall of a house, The base Of the ladder iS PUICA allay ot…

A: According to the question diagram will be as below Given: dxdt=3 ft/sec To find: dydt

Q: A ball is launched straight up in the air from a height of 6 feet. Its velocity (feet/second) t…

A:

Q: Use the cylindrical shell method to calculate the exact volume of the solid formed by rotating the…

A:

Q: Find an equation of the tangent plane to the surface at the given point. h(x, y) = In Vx2 + y², (6,…

A:

Q: Simplify arcsec2.

A: Given,             arcsec2To find : Simplify

Q: 6n+5 is Ln=1 5n+1 Determine whether the series convergente or divergente.

A:

Q: 4. Ln=1 By the series test: 3n-2

A:

Q: 6. (Section 4.3) Find the area under each curve over the indicated interval. (a)y = 6- x2, (-2, 1]…

A:

Q: Simplify tan(arccot0).   undefined 0 pi/2

A: Topic = Trigonometry

Q: Use the cylindrical shell method to calculate the exact volume of the solid formed by rotating the…

A: Using shell method volume is estimated.

Q: (a) Suppose that f is differentiable, positive and decreasing on (a, b] and has no critical points.…

A: Given problem:-

Q: Find the volume of the solid that results when the region enclosed by y = Vx, y = 0, and x = 1 is…

A: Given problem:- Find the volume of the solid that results when the region enclosed by y = √x, y = 0,…

Q: Express the given equation in polar coordinates. 144xy = 121 121 p² sin? 0 = 144 121 ? cos 0 sin 0 =…

A:

Q: Find the directional derivative of the function at P in the direction of f(x, y, z) = xy + yz + xz,…

A:

Q: 1150 15" 26" The total length of a windshield wiper arm is 26" The wiper blade itself is 15" The…

A: shaded area = total area - mechanisum area shaded area = θπR2/360 - θπr2/360 where R = 26 r= 15 θ =…

Q: 1. Find D„f at P: f(x,y) = sin(8x – 5y); P (5,8)); u=((i)

A:

Q: Set-up the integral for the area A(R) of the region R bounded by the circles y2 + x² y2 + x² = 16,…

A:

Q: 2X

A:

Q: Use polar coordinates ( and double integrals ) to find the volume of the solid that is below the…

A:

Q: Use APQR, as needed, to complete the given parts. Part 1: Let h be the height of APQR. Find the…

A:

Q: Solve the following differential equations of (3x'y+2xy + y' )dx+(x² +y² )dy = 0

A: Given

Q: Find the volume of the solid generated if the region bounded by the parabola y2 = 4px (p > 0) and…

A: Given

Q: The r.m.s. value of f(t) = v2x – 1 across [-2,1] is Answer:

A:

Q: Simplify arccot1. 4 no solution

A:

Q: F(cotx + tanx)² dx

A:

Q: За - 2 lim x3 - 1 O 2 O does not exist 13 8.

A: lim      (3x-2)/(x3 -1) x -- ∞ here ∞/∞ form so we use la hospital rule we differentiate above and…

Q: after t hours is given by v(t) == 3t"+2t. Find the distance the particle travels during the first 4…

A: Given query is to find the distance in first 4 hours.

Q: Find the gradient of the function at the given point. W = x tan(y + z), (3, 7, -3) Vw(3, 7, -3) =…

A: Given;  w=x tan(y+z), (3,7,-3).