QUESTION 2 If a company has a monthly fixed cost of $24,000 and variable cost of $5 each to produce toys they sell for $130, find their break-even quantity.

Q: 3. Find the equation of the plane through (-3, 8, -8) that is perpendicular to the plane 7x - y + z…

A: To Find : Equation of plane passing through (-3,8,-8) that is perpendicular to the plane7x-y+z=2 and…

Q: Find the simplified form of the derivative of y = 1+csc 3x %3D cot 3x O y = 3 csc 3x csc(3r)-1 O (E)…

A: We have to find the simplified form of the derivative of  y = 1+csc 3xcot 3x.

Q: Compute the partial derivatives shown for the given function. 5 ху f(x, y) = + ; find fy, fy, and…

A:

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

A: To Find : a) A vector oppositely directed to v=17,-8 and hal the length of vb) A Vector that as…

Q: (-1)" Given: In(1 + x) = if x < 1. n + 1 n=0 (-1)" (n +2) Σ 4. Compute the exact value of 2n+1(n +…

A:

Q: Convert the equation r = 4 csc (0) from polar coordinates to rectangular coordinates. (Express…

A:

Q: Using algebraic substitution, differentiate the following |2+ Vx dx

A: Note: Since, the student has made an typing error by writing "differentiate" in place of "integrate"…

Q: Approximate the area under the curve y=x^2 from x=1 to x=4 using a Right Endpoint approximation with…

A:

Q: = [] Given: h (t) Find h'(t). t² +2

A:

Q: 9. 8- 7- 6- 2 9-8 -7-6 -5 -4 -3-2 123456 789 -2- -3- -4- -5 -6 -7 -8 -9- 9786 654 32

A: Topic = Circle

Q: nony. i you skip a part of the question, you Tutorial Exercise Find the point of inflection and…

A:

Q: Find the vector component of v = (4, – 1, 7) along b = (6, 6, –7) and the vector component of v…

A:

Q: f the following graphs is continuous and differentiable at a and (x) if it is not…

A: We have to find the following given conditions according to the given

Q: Consider the following IVP: y" + 3y' + 2y = 12x2; y(0) = a, y'(0) = b Find the solution.

A:

Q: Consider e": for all æ E R. n! a. Determine the power series representation of f(x) = xe-5x² for all…

A: We have given the power series of ex  ex=∑n=0∞xnn!  for all x∈ℝ

Q: Given: h (t) = Find h'(t). t² +2 O (E) None of the choices -8t3 O h (t) (1²+2)* O h (t) = 8t° (1+t*)…

A: Use quotient rule for differentiating h(t)

Q: et +2e2t-et dt e2t +1 6.

A: Follow the procedure given below.

Q: Let a = ci + jand b = 6i + 24j. Find c so that a and bare orthogonal. C =

A: Given : a=ci+jb=6i+24ja and b are othogonal   To Find : value of c

Q: Find what is missing with complete solution

A: We know that ∫dx=x+c1. So,                 4∫dx=4x+4c1Let C=4c1.⇒4∫dx=4x+C

Q: Find the vector component of v = (4, -1,7) along b = (2, 3, –6) and the vector component of v…

A:

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j…

A:

Q: Let B and F be the following matrices. 3 -1 7 6 2 0 B = -9 -4 -10 9 -3 5 -9 -1 7 2 F = –10 0 -9 -5…

A:

Q: Use the Integral Test to determincwhether the scries In n n2 converges or diverges. Be sure to show…

A:

Q: Determine if the following statements are true or false. (a) A square matrix has an inverse if the…

A: Here,   We have given some statements about matrix now we have to determine whether they are true or…

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

A:

Q: 2. Use the Mean Value Theorem to show that f(x) = 2x sinh(r - 1) +2"- x has a critical number…

A: We prove that f'(c) =0 , here c is critical points.

Q: Find the cofactor of the element a13- -2 -1 0 5 4 2 3 5 O A. 3 О В. 19 ОС. -3 O D. 14 3.

A: Given a square matrix, the cofactor of aij is denoted by Aij=(−1) ^(i+j)M where Mij s the minor of…

Q: Q2: What is the value of second derivative of f(x)=3 sin((1-x)/t) *

A:

Q: A 1+ 2 + 3 + 4+ + 127 Σ > B, where .. n=1

A: First trace the rth  term then use the summation notation.

Q: Find the directional derivative of f(x, y, z) 2y at P(5, 2,-4) in the direction from P to Q(4, 3,…

A:

Q: Vx 3 1- evNīdy dx - 3 y3 e*y dx dy

A:

Q: 3. What is the limit x+5 а. lim х-2 х-4 X-4 b. lim X+4 x3-64

A:

Q: A follasng vector fiebdo are conserva hal function. c)

A: We have to find the potential function if the given vectors are conservative vector field

Q: Find parametric equations of the line through (-3,0, 4) that is parallel to 5i– 8j+k. x(t) y(t) =…

A: Parametric equations of a line passing through the point P(a,b,c) and parallel to the vector v→=…

Q: 20. a = }, b= 2,b 2

A:

Q: 39+ 5 dy (5y~7)2

A:

Q: how long will it take for 16200 to double if it is invested at 5.5% compounded quarterly

A:

Q: Find a plane through the points (-4,8,-8), (1,-5,-1), (-5,-1,5)

A:

Q: у %3D7 — х, у —D 0, х %3D 0, revolved at х ахis 2.

A: To evaluate the volume of the solid generated by revolving the plane region about an axis.y=7-x,…

Q: 1. Let p be a positive number. Express cos(x)dx as a series, if possible. If not possible, explain…

A: To solve the following problem

Q: Determine whether the planes are parallel, perpendicular, or neither. 2x – 10y – 8z – 1 = 0 (a) | -x…

A: Given problem:- Determine whether the planes are parallel, perpendicular, or neither.   (a) 2x…

Q: Solve triangle ABC if A = 24.7 degrees, C = 106.1 degrees and b = 34.0 cm   Show all work and…

A:

Q: 2. Find the second degree Taylor polynomial of g(x) = V1– 3x about 3, then use it to approximate the…

A: Find your answer below

Q: Ash buys 5 bunches of flowers. Each bunch contains 10 flowers. He gets 8 more flowers from his yard.…

A:

Q: Evaluate the indefinite integral as an infinite series. 1 13. COS X dx x2

A:

Q: x³ + x2 – 4 1. Consider the function f(x) 4.x = x +1+ Note that x² – 4 x² – 4 - x²(x² – 12) (x² –…

A: Solution is given below:

Q: Find the directional derivative of f at the point P in the direction of a. f (х, у) — 923 — 6у3;…

A:

Q: Let a ci + j and b = 12i + 16j. Find c so that the angle between a and b is . Round your answers to…

A:

Q: Given functions f and g are periodic. Identify whether the following functions are periodic. i. ii.…

A: Take the two examples of periodic functions and then solve.

Q: Part I x² -9 1. lim х>з х-3

A: