Sally can paint a room in 7 hours while it takes Steve 4 hours to paint the same room. How long would it take them to paint the room if they worked together? It would take hours (Simplify your answer. Type an integer or a fraction.)

Q: 38. g(t) = -2 cos t + 5 (л, 7) %3D 39. f(t) = že' (0. ) 40. g(x) = –4e* (1, – 4e) %3D Finding a Deri...

A:

Q: lim f(x) = +oo, lim f(x) = -2, lim f(x) = 2 and f(2) = 0 4. %3D x-3- lim f(x) x- 3+ = -00 3.

A:

Q: Consider the following sequence: (an) = nt1 to show that the given sequence (a,) is strictly increas...

A:

Q: 3 In two or more complete sentences, describe how to determine if the function f(x)=2cos⁡(x) is eve...

A: Given that: f(x)=2cosx

Q: 5. Let f(x, y) = x² + y? – xy + x. Find the critical point of f and determine if it is a local minim...

A: We will find the critical point for the given function.Also we will find that given function is loca...

Q: If R is the region bounded by the lines y = x,y=0,x= 1, evaluate the dxdy double integral S by chang...

A:

Q: 4. lim f(x) = +o0, x-3- lim f(x) = -o 0- x-3+

A: here we have to draw the graph which satisfies the given conditions.

Q: ОА. (х+82 + (у - 9)2 3 9 О В. (х+9)2 + (у -8)2 %3 3 OC. (x-9)2 + (y + 8)2 = 3 O D. (x-8)2 + (y + 9)²...

A:

Q: Step 3 Now we can conclude the following. y' Submit Skip (you cannot come back)

A: This question is related to deivative.

Q: A street light is mounted at the top of a 10 ft tall pole. A woman 6 ft tall walks away from the pol...

A:

Q: Suppose that the total profit in hundreds of dollars from selling x items is given by P(x)=5x-5x+7. ...

A: Average rate of change of f(x) as x changes from a to b is given by, A(x) = [f(b) - f(a)]/(b - a)

Q: (х+2)* x² – 4 dy 2y dx x? - 4 х —

A: Given  :        dydx+2yx2-4 = x+22x2-4

Q: 23. lim (1 + x)cotx

A: As you have asked for question 23 only. So I am solving that only.   Let f(x),g(x) be two functions ...

Q: The base of a solid is the region in the first quadrant bounded by the curves below. 25y = 25 – x2 x...

A: Given : Base of a solid bounded by the curves 25y=25-x2 , x-axis ,and y-axis. In the first quadrant ...

Q: 4. If ā= 3i - 2j and b=-5i- j, express 3 a -b in terms of i and j.

A: This is a vector problem

Q: 7. Let f(x, y) = In(x)+2 ln(y) – x – 4y. Find the critical point of f and determine if it is a local...

A: Let's find. 

Q: Find the DE of the family of plane curves described and sketch some of its members.

A:

Q: Find the slope of the function's graph at the given point. Function: f(x) = x² + 1 Point of the f(x)...

A: We have to find slope of function.

Q: wer -0.7 Find -7 sec (5x + 4) tan(5x +4) dx. Show the steps th -1.1 S-

A:

Q: Match the following items. On the unit circle with its center at (0, 0), an arc with central point P...

A:

Q: Determine if the given function is continuous and differentiable at the indicated values of x. Write...

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple questio...

Q: sec 2 2 O tan´y dx = secx dy

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: x+1 Let g(x) = Determine all values of x at which g is Enter your search term ach of these values of...

A: Function definition for critical points  and discontinues.     

Q: (+++)" В. y C. y = 2x/x² + I

A:

Q: Find the unit tangent vector T, and the unit normal vector N for r(t) = at t = 1. Simplify your ans...

A: We need to find the  unit tangent vector T, and the unit normal vector N for t=1.Below find the solu...

Q: You are given the graph of a function f. Determine the Intervals where f is Increasing, constant, or...

A: Given graph of a function f

Q: Graph the linear function f(x) = - 4x. Identify if it is a constant function. Give the domain and ra...

A:

Q: Evaluate the limit 5(y? – 1) lim y→4 8y2(y – 1)°

A:

Q: В. Transform the following equations into its general form. 1. 1)2 212 2.

A: Given that:

Q: Write the vector (-5, -9) as a linear combination of the vectors (-2, 3) and (1

A:

Q: 1. Let f(x, y) = x³y+ 12x² – 8y. Find all critical points of f.

A: As per our guidelines we are supposed to answer only one question at a time. So I am solving the fir...

Q: 3. Solve the system by Gauss-Jordan elimination: x+ y+z = 4 x-y-z =0 x- y+z =0

A: As per our guideline we are supposed to answer only one question you can repost other questions in n...

Q: Determine the value(s) of x for which the following function is discontinuous. Identify the type of ...

A: The given function,         fx=2x2+3x-2x+2 Removable discontinuous:    If a function f(x) has remova...

Q: 2. Solve the system by Gauss elimination: х-Зу+z%3D1 2х- у+2z %3D2 x+2y– 3z = –1

A:

Q: Express the repeating decimal as a fraction. 5.919191...

A:

Q: 10. Solve for the derivative of y IMPLICITLY 22 + Vx³ + 2y = y² %3D

A:

Q: Answer the following True or False: If h(r, y) is differentiable, then the slope of the tangent line...

A:

Q: The total cost (in dollars) of producing x coffee machines is C(x) = 2200 + 30x – 0.1x?. the exact c...

A:

Q: Consider the following function. Function Factors f(x) = 3x³ – x² – 9x + 3 (3x – 1), (x + v3) (a) Ve...

A:

Q: 3. Answer each question for the given polynomial function, f (x) = -2x² (x + 1)2(4x - 1). a. Find th...

A:

Q: 1. Using the definition of derivative, find the derivative of the follow HomeworK: functions: (a) y=...

A:

Q: For the geometric sequence, 9 27 81 3, 2 4 8 What is the common ratio? What is the fifth term? What ...

A: We have to find common Ratio,5th term and nth term for given sequence.

Q: Given the graphs of f(x) and g(x) below, determine the value of the expressions below. y = f(x) y = ...

A: Given that:                      

Q: с — с2 C - f(c): 1+c² Find f(tan c)

A: The given function is  f(c)=c-c21+c2

Q: f(x) = 2x2-x + 6 for all values of x %3D

A: Since you have asked multiple questions in a single request, we would be answering only the first qu...

Q: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the b...

A:

Q: dy Given the equation below, find dx 24x + 8x"y + y' 33 dy da Now, find the equation of the tangent ...

A: Given, the equation                             24x9+8x36y+y4=33 then diff. the above equation w.r. ...

Q: a) Find the center-radius form of the equation of the circle with center (4, -2) and radius 7. b) Gr...

A:

Q: E valuate sin" e cae de

A:

Q: "A Kite 65 feet above the ground moves horizontally at a speed of 6 ft/s. At what rate is the angle ...

A: