er of cars produced when a dollars is spent on labor and y dollars is spent on capital invested by 1 2 turer can be modeled by the equation 55x3y = 660. formula in terms of x and y for 7/ 2x Y √-100 e value of of ork dy dx dy dx xo-y/(2x) at the point (27,8). 0 x Round to 4 decimal places.

Q: Find the center and radius of the sphere with equation (x + 2)2 + (y - 3)2 + (z + 6)² = 16 Center:…

A:

Q: esc Consider the vector field F = O The vector field is not conservative O The vector field is…

A:

Q: Q-5: a) Find the area of the region enclosed by the two graphs y = e²x and y = 1 -x, on [0,1]. Find…

A:

Q: Use L'Hopital rule, find the following limit? lim (4x + 1) cotx x→0+

A:

Q: SEND IN 20 MINUTES PLEASE !!!! Find all extreme points (maxima, minima, saddle points) of…

A: Extreme points of the function fx, y=2x3 + 2y3 - 9x2 +3y2 - 12y

Q: Let the line PQ pass through the points P = (-4,-4, -6) and Q = (-2, 1, - 16). The line will pass…

A:

Q: Let w(x, y, z) = x² + y² + z² where x = sin(7t), y = cos(-3t), z = e-4t. dx dy dz dw dt dt' dt dt…

A: Given problem:- wx,y,z=x2+y2+z2,x=sin7t,y=cos-3t,z=e-4t Find dwdt

Q: I ― √co COS X lim x 0 1 cos x

A:

Q: 4. If ricost cosh t+j sint sinh t, where i and j are constant orthogonal vectors prove that (a)…

A: Given r = i cost cosht + j sint sinht

Q: Find the domain and range for the function f(x) = LO T 5 3x 1- e

A: Find the domain and range of the function fx=51-e3x

Q: 60° IIPII=23 Q Find the EXACT components of the vector above using the angle shown. P Check Answer…

A:

Q: 1. A particle moving along in a straight line with a uniform acceleration covers 72 cm displacement…

A:

Q: Solve the differential equation xdy]=0 xdx +sin? (%) [yde 4x ln || - 2y + x sin ( ² ) = 0 2x a. 2y…

A: Given :   xdx+sin2yxydx-xdy=0

Q: Find the Taylor series generated by f(x) = 6 sin 5 at x = 0.

A: Answer is in next step.

Q: Find the linearization of the function f (x) = x6 at x = 1. L (x) = Using this linearlization, f…

A:

Q: Find the acceleration vector for the position vector r(t) = (sin(11t), 4tº, e -2t). x component = y…

A: We need to find acceleration vector.

Q: Evaluate the following integral over the Region R." (Answer accurate to 2 decimal places). S S 4(x +…

A:

Q: Evaluate the integral by interpreting it in terms of areas. 4 to −9(1 − x) dx

A:

Q: 16. Given the graph of g(x), Draw the graph of g-¹(x). Show your strategy for drawing the graph of…

A:

Q: 2022" + n 2022 (d) lim sin 2022! + n!

A: Apply the limits to solve

Q: ³ [*₁ (32²¹ +42²) dz Find

A:

Q: 1 Given the differential equation dy = y³xex² уз хеха dx a. find the general solution

A: The objective of the question is evaluate the differential equation.

Q: Find fxx (x,y), fxy(x,y), fyx (x,y), and fyy(x,y) for the function f. f(x,y) = 5x e 5xy fxx (x,y) =…

A: The given function is: f(x,y)=5xe5xy

Q: 2 (2y² + 5xy 4 Ο α. χ' (y² + 2xy = y + 2) = C O b. x4 (y² O 2y + 4) dx + x (2x + 2y − 1) dy = 0 - -…

A: The given differential equation is; 2(2y2+5xy-2y+4)dx+x(2x+2y-1)dy=0.

Q: Find the indicated value. f (2,3) if f(x,y) = 4x²y - 2xy³ f (2,3)= (Type (Type an integer or a…

A: fx represents the partial derivative of the function f(x,y) with respect to x. Also fx(a,b) is the…

Q: Find the area S of the shaded region in the figure if ƒ (0) = 0² + 30. Note that 0 varies from 0 to…

A: To find the are S of the shaded region in the figure if fθ=θ2+3θ Note that θ varies from 0 to…

Q: Use spherical coordinates to evaluate the triple integral e-(x²+y²+z²) x² + y² + z² where E is the…

A:

Q: Find the area of region A in the figure if the equation of the boudary is r = 4 cos (0). r=1 A A = X…

A:

Q: The function f is shown below. What is the value of nswer in simplest form. -8 -3 N 3 H N W 4 in -5…

A:

Q: Let a = -17 +83 +9k and b = -87-23 + 3k. Find a b Check Answer

A: Given vectors are a = -1i+8j+9k and b= -8i-2j+3k Find:- a.b

Q: Find the area enclosed by the lemniscate with equation ² Choose your limits of integration…

A:

Q: i) lim cos x-0 7 πCOS²x x²

A:

Q: Evaluate (² + y2) ds, C is the top half of the circle with radius 2 centered at (0,0) and is…

A:

Q: Which function has Maclaurin series (-1)"2""? n:o OAI OB 8. 2/7/2 Oc O D. TIZE D.E. 2

A: The given series: ∑n=0∞-1n2nxn

Q: = Approximate the area under the curve y with 4 subdivisions. x³ from x = 2 to 4 using a Right…

A:

Q: How do I find tangential and normal components of the acceleration, from question 5b

A: Let's find tangential and normal components of acceleration.

Q: This is all one question. I really need help on this. Thank you so much

A: Given: peter goes on a ferris wheel that has a diameter of 36 feet and the distance fro the bottom…

Q: Solve the differential equation -1 (x + 3)¯¹ cos (y)dx cos (y)dx O a. cos (y) In b. cos (y) In -…

A:

Q: Evaluate [/FO f(x, y, z) ds. f(x, y, z) = xy Z S: z = x² + y², 9 ≤ x² + y² ≤ 81

A:

Q: What is the general solution to the the differential equation3y "'-y'- 2y = 10e? A B v=C₂₁e (²/³) x…

A:

Q: 14. Given the graph of g(x), Draw the graph of g-¹(x). Show your strategy for drawing the graph of…

A:

Q: Find the curvature of the curve r(t) = (5 + 4t, 4 - 4t, 1 - 3t) at the point t = -6. Check Answer

A:

Q: Find the Taylor Series generated by f(x) = (7 · X) ² at X=6 : f'(x) =__9 (7-X) 10 90 ƒ"(x)= (7-x)"…

A: The given function is fx=17-x9 centered at x=6

Q: Find the average value of the following function where 9 ≤ x ≤ 11: f(x) = X C 81 dx

A:

Q: Q6. Evaluate S¹, S₂ Sp dz dx dy.

A:

Q: In the below series find the missing noumber  2 , 3, 6, 11, 20, 37, 68, 125, 230, __ , 778,1431

A: Given data:- The below series is given, 2 , 3, 6, 11, 20, 37, 68, 125, 230, __ , 778,1431

Q: Write the following expression as one integral. 5 7 5 I from S₁ •Sf(x) dx - - f(x) dx + - f(x) dx -7…

A:

Q: 5) each k=1 (- series, find the sum. k - 1 6) k=1 +1) (k+2)

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: A company manufactures mountain bikes. The research department produced the marginal cost function…

A:

Q: Evaluate the definite integral. 1³ sin (4t)dt

A: