Find the critical points of the following function. 1 Inx f(x) =

Q: M. Vx? N. xe* O. 4 Р. cot x Q. cot?x R. 2 cot x

A:

Q: #13-Find the cost function for the morginad cost fixed cost of $6000 (for x -0) O** 70 X*-80 and

A: cost function = ∫ (dc/dx)dx cost function = ∫ x2/70 + 80dx cost function = x3/210 + 80x + k lets put…

Q: Q9. (a) The nth term of a sequence is 6- 2n Work out the first three terms of the sequence. (b) Here…

A: We can solve the given problem as follows:

Q: Find the particular solution determined by the initial condition. 2/3 f'(x) = 3x - 6x; f(1) = - 7…

A:

Q: b. g = f(t, v) = tv, t = In m v = m

A: We can solve this as follows:

Q: 3. f(x) = 3x² + 8 a. -6x b. 3x с. -3х d. 6x f(x) = x' -1 а. Зх b. Зx c -3x d. 3x2

A: Topic = Derivative Correct answers 3) d 4) d

Q: The critical point of the function f(x) = x³ – x? + 2x - 23 is (3,2) (금, -2) (음, -2) (금,2) |

A:

Q: Convert the Cartesian equation x 2 + y 2 - 6x = 0 to a polar equation.  r² = 6cosθ r = 6sinθ r =…

A: The given Cartesian equation x 2 + y 2 - 6x = 0 ................................... (1)

Q: Find the horizontal and vertical components of the vector with the given length and direction, and…

A: For a vector v with magnitude M in the direction of θ.The Horizontal comonent is given by…

Q: dx V5+4x-x²

A:

Q: Select the answer option that corresponds with polar coordinates (2, ). 90° 2 135° 45 150° 30 15° 12…

A: We can find the answer as below by naming the coordinate.

Q: Consider the surface F(x, y, z) = x°z³ + sin(y+z5) – 7 = 0. Find the following partial derivatives…

A:

Q: Of all rectangles with a perimeter of 33, which one has the maximum area? (Give the dimensions.) The…

A: perimeter of rectangle = 2(l+b) = 33 l+b = 33/2 l = 33/2 - b area of rectangle = l*b (33/2 -b)(b)…

Q: Find the area of the region in the xy-plane bounded above by the graph of the function…

A: Given  fx=711x-2111, x=3 & x=14 To find Area:

Q: Find the slope of the line 3x-4y-10=0 О а. 4/3 O b. 3/4 О с. 3 O d. 4

A: Solve the following

Q: Find the area. a. Inside one leaf of the three-leaved rose = cos30

A:

Q: Write the complex conjugate of the complex number. Then multiply the number by its complex…

A:

Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

A: Given problem:- D(x) is the price, in dollars per unit, that consumers are willing to pay for x…

Q: Follow the solution in the picture below and show checking.  348610  B2 B8 B16

A:

Q: d the area. de one leaf of the three-leaved rose r= cos30 red by the circle r=2 and the cardioid…

A:

Q: H.W 1. Test the convergence and divergence of the foll convergent series. a) L b) 3"51-n

A:

Q: x 3 Calculate the following values: n( – 6) = n( – 4) = - %3| п(3) — n( – 3) = n(4) = n(2) =

A:

Q: Find 2u, -3v, u + v, and 3u 4v for the given vectors u and v. (Simplify your answers completely.) u…

A:

Q: 15. Evaluate the given integral, V4 – 9x² dx: arc sin () A. x V4-9x2 2 arc sin () x V4–9x² В. + c 2…

A: Giiven: To evaluate the integral∫4-9x2 dxFormula: ∫a2-x2 dx=x2a2-x2+a22 sin-1xa+c

Q: If the terminal arm of an angle, x, in standard position passes through the point (-a, -2a) where a…

A:

Q: The x-intercepts of y = x2-4x-5 are: O a. (-5,0) and (1,0) O b. None O c. (-5,0) and (-1,0) O d.…

A:

Q: CSC* x dx cot² x

A:

Q: Given the following velocity function of an object moving along a line, find the position function…

A:

Q: A poster is to have an area of 240 in2 with 1 inch margins at the bottom and sides and a 2 inch…

A:

Q: Find the amplitude, period, and phase shift of y = 4 cos (2x). (Express numbers in exact form. Use…

A:

Q: If y = 5u² + 1; u= 2 , find dy %3D do O 21 O 20 O 11 O 10

A: Given : y=5u2+1 ; u=2x   To Find : dydx

Q: Sketch the graph of a function that has an absolute maximum, a local minimum, but no absolute…

A:

Q: Convert the polar coordinates (4, 315) to Cartesian coordinates. (2√3, -2) (2√2, -2√2) (2, -2√3)

A:

Q: Choose the point which shows the correct location for the polar coordinate (3, –-45°). 90° 2 WIN…

A: Option D

Q: 3t Using standard Laplace transforms, find Laplace transform F(s) for cos (G)

A: f(t)=cos23t2using:cos 2x =2cos2x-1f(t)=1+cos23t22f(t)=12+cos 3t2F(s)=L12+Lcos3t2

Q: Line L is perpendicular to the line 5x+2y-4=0. Find the slope of line L O a. 5/2 O b. -2/5 O c. 2/5…

A: We will use the concept If y=mx+c  is equation of line. Than m is slop of line.   If m1 and m2 are…

Q: Let a = (7, 10, 1) and b = (10, 3, 6) be vectors. Compute the cross product %3D ахЬ.

A:

Q: 20. Evaluate: 2x²Vx3 + 1 dx:

A:

Q: () x² cos ,2 dx 3.

A: Given problem:-

Q: Find f. f "(x) = 1//1- x?, () - = 2 f(x) =

A:

Q: If f(x, y) = 7xey + 7y Inx, then is given by: дудх O 49e5y + 7/x 35eby + 7/x O 25e5y + 7/x O 35e5y +…

A:

Q: y = (x-p)(x-r) and p+r=6. Find the x coordinate of the vertex of the parabola. O a. None O b. 6 O c.…

A:

Q: . A boat is being pulled into a dock by a rope that passes through a ring on the bow of the boat.…

A:

Q: 12. Evaluate the given integral, J x² sin x dx: A. - x2 cos x + 2x sin x + 2 cos x + c B. x2 cos x +…

A:

Q: A. Evaluate the following integrals: 1. Sx² e*³dx et3

A: To evaluate the given integral.

Q: Consider the following. u = i + 6j, v = 7i - j Find the angle between u and v to the nearest…

A:

Q: 1. Consider A = (0, 4, 2) , B =, (6, –1,0) and C = (3,0, 1). 1 (a) Find the unit vector having the…

A:

Q: 4. When the graphs of two functions intersect the angle of intersection is defined as the angle…

A: Slope of tangent

Q: Please, solve 1(d) & (e), 2 only

A:

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: The domain of a vector function is the intersection of domain of its components.