A company produces two different grades of steel, A and B, at two different factories, 1 and 2. The following table summarizes the production capabilities of the factories, the cost per day, and the number of units of each grade of steel that is required to fill orders. Factory 1 Factory 2 Required 2 Units 2 Units $8,000 Grade A Steel 1 Unit Grade B Steel 3 Units Cost per Day $7,000 The minimum cost is $ 80 Units 140 Units How many days should each factory operate to fill the orders at minimum cost? What is the minimum cost? Use graphical methods. when factory 1 operates days and factory 2 operates days.

Q: Rewrite the integrand in terms of u so that the integral f(u) = x √ (32²² -da takes the form…

A: To rewrite the integrand in terms of u so that the integral ∫x3x2+64 dx takes the form ∫fu du.

Q: 5. Find the arc length of the spiral r=0 from 0=0 to 0=27.

A: Arc length for a function of the form r=rθ from θ=θ1 to θ=θ2 is given by ∫θ1θ2rθ2+r'θ2  dθ.

Q: 6. What is the volume generated by revolving the shaded region around the x-axis? Use disks. y 3 2-…

A:

Q: ted to follow the model C = 60+ 0.1t2, where t is the t

A:

Q: The improper integral (2-3 dx equals Select one: O None of the others 00 ○ In 2 O -∞

A: Given integral: ∫0312(x-3)dx The given integral is an improper integral because the function 12(x-3)…

Q: Use the indicated method of solution for the following. ㅠ 1. Solve: sin x cos² y dx + cos² x dy = 0,…

A: *Note – As per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: Y Where, approximately, does the function f(x) have a local maximum or local minimum? x = -2.5, x =…

A:

Q: Determine the sum of the infinite geometric series 1 1-1/+ 27 the sum cannot be determined 0-1/1 200…

A:

Q: 1. Sketch the following curves on separate number planes. (i) y=2x² (ii) x² + y² = 4 (iii) (x-1)² +…

A: since you have posted multiple questions i can do first question( with three sub parts) as per our…

Q: 2) Find the point of intersection of the plane x - 5y + 3z = -127 and the line r(t) = (-2,-8, 7)t +…

A:

Q: The figure below shows a 120-turn square coil rotating about a vertical axis at at w = 1,520…

A:

Q: Find dx dt dx dt at x = -2 if y=-2x² - 4 and dy dt = -2.

A:

Q: find the following: sec0=?

A: sec0: As the angle is between 0 and 90 degrees, it is located in 1st quadrant, where the value of…

Q: Evaluate the line integral, where C is the given curve. Sex xy¹ ds, C is the right half of the…

A:

Q: Evaluate the following integral. S16 16 sin x sin 2x dx

A: Evaluate the integral  ∫16sin(x)sin(2x)dx

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to Then…

A:

Q: The decay of a radioactive substance can be represented by more than one exponential model. explain.

A:

Q: Find the surface area of the part of the plane z = 7+ 5x + 2y that lies inside the cylinder r² + y²…

A: The surface  area of the of the part of the plane z=7+2x+6y that lies inside the cylinderx2+y2=1

Q: Chapter 7. Find the LaPlace transform. L {t6 + e-6t} 6! A) / + C) - / + -|- S+6 1 s+6 B) 6! gl + D)+…

A: Given that ℒt6+e-6t

Q: The table below shows values from the function f(x) = bº. Identify b.

A:

Q: + x² − 5e³, find ƒ'(x). If ƒ(x) = 4eª + x² 4eª

A:

Q: dP dx = -30x + 290 P(x) =-15x² +29x - 445 P(5) = $630

A: dPdx=-30x+290    P=∫ -30x+290dx =-30x22+290x+C  =-15x2+290x+C

Q: Find the volume of the region bounded a above by the elliptical paraboloid z = 10 + x² + 3y² and…

A: Since you have posted multiple questions, as per guidelines, we are supposed to answer only first…

Q: Determine the equation of the tangent to f(x): 1 tan²x (7›1). at the point

A: Determine the equation of tangent to f(x) = 1/tan2x  at the point( π/4,1).

Q: Determine whether the series converges or diverges. n = 1 converges Odiverges Vi+n 3+n

A: To calculate the convergence and divergence of the series

Q: 2. Determine whether the vector field F = 3x²yz4i+x3³z4j+4x³yz³k is conservative and explain your…

A: F= 3x2yz4i+x3z4j+4x3yz3k

Q: find slope of tangent line to f(x)=x² +1 at x= -1 O 1 O-2 02 non e of these answers

A: To find the slope of the tangent line to fx=x2+1 at x=-1.

Q: Use the matrices below. D = >- [86] 19 F = -1 3 7 11 Perform the indicated operation. F + 2D 8 1

A:

Q: Find the derivative of the function: O f(x) 0 17 16 0-17 4 17 4 O-17 16 2x - 7 3x - 2 at x = 2

A:

Q: A 120-foot tall monument is located in the distance. From a window in a building, a person…

A:

Q: Find the equation of the line tangent to the graph of f(x) = -x³-4x²-1 at x = -1. Provide your…

A: given  f(x)=-x3-4x2-1,  at x=-1

Q: Encuentre la solución general pa dy = 4 cos(e²× )sin (e²x )e²x doc Para la barra de herramientas, p

A:

Q: Evaluate the limit. limx→2 O-10 O -1 02 05 (−x³ + 2x² − 1)

A:

Q: Find the unit tangent vector T(t) for r(t) = 2ti + 3tj + 6tk at t = −2. ○-4i-6j-12k ○_1 O 3 :- i- 49…

A: To find the unit tangent vector T(t), we first need to find the derivative of r(t): r(t) = 2ti + 3tj…

Q: Evaluate the following indefinite integral. tan(arccos(3t)) /1 − (3t)² dt = help (formulas)

A:

Q: The area of the surface generated by rotating the curve y = 2 = cos(4x), - where 0≤x≤ T/3, about the…

A:

Q: Let F(x) = f(x) and G(x) = (f(x))³. You also know that a = 3, ƒ(a) = 3, ƒ'(a) = 11, f'(a³) = 9 Then…

A:

Q: Let f(x) = 2x -4, g(x) = 3x² + 4x, Find this composition: f(x) o g(x) =? Hint: Note: f(x) o g(x) =…

A: Given: f(x)=2x-4g(x)=3x2+4x We are required to find: f(x) o g(x)

Q: 1. Evaluate each integral by first making an appropriate substitution. 9x² 16x3 (a) fx(x² - 1)¹ dx…

A:

Q: Use the like-bases property and exponents to solve the equation 2n+1 2³n-3 n = =

A:

Q: 15) Let f(x) = f In (t² – 5)dt. Find f'(x) and then also find f"(x).

A:

Q: Evaluate fry³dx + a²dy, where C is the rectangle with vertices (0,0), (3,0), (3,5), and (0,5)

A:

Q: estigate whether the function u(x, y, z) = e^(3x+4y)cos(5z) is a harmonic function, where harmonic…

A: ux,y,z=e3x+4ycos5z

Q: Determine the product of inertia with respect to the x and y axes for the area bound between the two…

A:

Q: 6. Use the disk washer method to set up the integral which calculates the volume of the region…

A: The region bounded by y=x+1,y=0,x=0 and x=2 Graph

Q: A square-based, box-shaped shipping crate with a volume of 16 cubic feet needs to be constructed at…

A: A square based box  Cost of material used for side $p per square feet  Cost of material used for…

Q: Use Green's theorem to evaluate the line integral along the given positively oriented curve. √2x³…

A:

Q: Use a graphing calculator to graph f near xo and use Zoom and Trace to estimate the y-value on the…

A:

Q: 3. Find the area inside one petal of r = sin(30)

A:

Q: Solve the right triangle shown in the figure for all unknown sides and angles. Round your answers to…

A: