Vector A = <8, -21, 21> in spherical coordinate system at P(-24, 16, 4). What is the magnitude of vector A in the "z" direction in the rectangular coordinate system at P? (Compute up to 4 decimal places)

Q: f(x) = '(x) = - 15 √√x

A: Given query is to find indicated derivative.

Q: X XP zX - 18

A:

Q: If y = ln(x√x² + 1), then A) 1 + X x² +1 B) 1 + dy dx 1 x√x² +1 C) 2x² +1 x√x² +1 D) 2x² +1 x(x² +1)…

A:

Q: e the Special Integration Formulas (Theorem 8.2) to find the indefinite integral. (Use C for the…

A: This is a problem related to integration. Please follow the procedure given below.

Q: D Question 5 let g(x) = 1/(x³+x²)3 find g'(x) O(x³+x²)3 O (x³+x²)-3 O-3 (x³+x²)-4(3x²+2x)…

A:

Q: Find the horizontal and vertical asymptotes of the curve. X = y = y x2x24x43 x² - 4x + 3

A:

Q: 5. Find dy by implicit diffe ? dy = ? 7y Sin (x²) = Sx Sin (4²)

A: 7ysin(x2)=5xsin(y2)d dx(sinx)=cosxddx(xn)=nxn-1d dx(a.b)=a×dbdb+b×dadx

Q: Question 5 Classify each differential equations as separable, linear, homogeneous, or Bernoulli…

A: Given: xdx+ydy=0

Q: Calculate the integral below by partial fractions and by using the indicated substitution. Be sure…

A:

Q: Find an equation of the tangent line to the curve at the given point. y = 4x²x³, (1, 3) y =…

A: Given query is to find the equation of the tangent line.

Q: The sum of the perimeters of an equilateral triangle and a square is 19. Find the dimensions of the…

A: Need to find out the dimensions of triangle and square that will product minimum total area.

Q: Compute the Taylor polynomial T5(x) and use the Error Bound to find the maximum possible size of the…

A:

Q: 3. Consider function f from Exercise 1 and function h: [0, π] → R defined by h(x) = sin(3x). A. Use…

A: As per your request (3) The function is given as , fx=x2 , f:3,6→R and hx=sin3x , h:0,π→R

Q: The variable a is jointly proportional to the cube of b and the square of c. If a=70 when b=5  and…

A:

Q: The following graph shows the weight measurements of the average infant from the time of birth (t =…

A:

Q: əz dz Express and as functions of u and v both by using the Chain Rule and by expressing z directly…

A:

Q: Find the definite integrals of the following. 4. 7 sin 2xdx 2

A:

Q: Given lim f(x) = 6, lim g(x) = -4 and lim h(x) = -1, use the limit properties to compute lim [f(x) +…

A: To find the limit of the function

Q: Determine if the sequence converges or diverges. If it converges, state the limit. n arctann Inn…

A: The given sequence is an=arc tannln n, n≥2. We have to find the limit of the sequence.

Q: Solve the given initial-value problem. y(x) = y" + 4y = -3, y(m/8)= y(n/8)= 2

A:

Q: 1 f(x) 2 3 4 5 6 8

A:

Q: lim_ f(x) and f(1). x-1- 4) Say f(x) = 15(x-3)2(x-4)² 6x(x-2)(x+5)² Find lim f(x). X18 5) With f as…

A:

Q: Graph the rational function. Graph any asymptotes as dashed lines and accurately plot at least two…

A:

Q: 25. h" (1), h(w)=√we"

A:

Q: Given the plane segment 2x+y+2z=8. How would i set up a double integral to calculate the volume…

A:

Q: Compute the surface area of revolution about the x-axis over the interval [0, 1] for y = 3x³. (Use…

A: Given equation:- y=3x3

Q: 3. y=x²-25x² + 2x

A: To find the second order and third order derivatives of given function

Q: 5) Ir b) a) O Consider the functions z = -e lnx, y = ln(u sin v), x = usin v. Draw a dependency…

A: We can solve the above question as follows,

Q: Question 9 The given differential equation (x−y) dx + xdy=0 is a homogeneous equation. Is xln(x) + y…

A:

Q: Given lim f(x) = -9, lim g(x) = 2 and lim h(x) =4, use the limit properties to compute lim[2f (x) -…

A:

Q: (b) π/4 (sin(x) = cos(x)) (sin(x) + cos(x)) dx

A: M=∫0π4(sinx-cosx)(sinx+cosx)5dx ∫xndx=xn+1n+1+cd dx(sinx)=cosxd dx(cosx)=-sinx

Q: Find an equation of the tangent line to the graph of y = g(x) at x = 6 if g(6) = -3 and g'(6) = 2.…

A: Equation of tangent to the graph y=g(x) at x=a is given byy-g(a)=g'(a)×(x-a)

Q: Integrate the given function. 4 √x 1 √x √√x -dx dx = 1 √√x (Do not round until the final answer.…

A:

Q: a varies directly as the cube of b and inversely as the cube of c. If a=129 when b=8 and c=5, find a…

A:

Q: 8. Let r(t) = (-13 cos (t) +9,5 sin(t)-9, 12 sin(t) + 12). Compute (2), the curvature eval- uated at…

A:

Q: Question 9 Determine the open intervals on which the graph of y=-2x³+x²+x-3 is concave downward or…

A: We have given function  y=-2x3+x2+x-3 y'=dydx y'=-2ddxx3+ddxx2+ddxx-ddx3 y'=-23x2+2x+1-0…

Q: Consider the volume of the region shown below, which shows a right circular cone with top radius 2…

A: Here is your solution

Q: 4) belanjmited 10/1036 a) b) upy of awob Find ALL of the first and second partial derivatives of the…

A:

Q: Draw the region D between the parabolas y = x² and x = y²,and calculate the x-coordinate of its…

A: Solution is given below:

Q: Which of the following integral can be used to find the volume of a solid on the first octant…

A:

Q: The sum of the perimeters of an equilateral triangle and a square is 19. Find the dimensions of the…

A:

Q: Calculate the Taylor polynomials T₂ and T3 centered at x = a for the function f(x) = 13 ln(x + 1), a…

A:

Q: 1. ƒ ln x dx x

A: According to bartleby guidelines we supposed to do the first one of multiple questions  kindly…

Q: Find the horizontal and vertical asymptotes of the curve. 3x² + x - 5 x² + x - 42 X = X= y = y =…

A:

Q: Find the Taylor polynomial T₂(x) for the function f(x) = 2e²x at x = 0. (Use symbolic notation and…

A:

Q: x t g(x) = f 2te dt. Find x so that g(x) = 2. 0

A:

Q: 2) Evaluate using long division first to write f (x) as the sum of a polynomial and a proper…

A:

Q: Find all relative extrema of the function f(x)=x²+2x+4. Use the Second Derivative Test where…

A:

Q: Solve each triangle. Round your answers to the nearest tenth. m/A = 115°, c = 13km, a = 29km O m/C=…

A:

Q: The function f(x)=√5-x is continuous at (-∞, 5]. True False

A: