4. The company uses wood and labor to produce tables and chairs. Recall that unit profit for tables is P6, and unit profit for chairs is P8. There are 300 board feet (bf) of wood available, and 110 hours of labor available. It takes 30 bf and 5 hours to make a table, and 20 bf and 10 hours to make a chair. Solve the problem graphically and determine the optimal solution.

Q: k If u = f (x), then f dx x4+2x2+1 +C for some constant k . Compute kf (1). x2+1 %3D

A: We have to find kf(1).

Q: Question 20 csc x du 3T If u = f(x), then dx = Compute f и sin x – cos x A B 1 D -1

A: We have to solve our question

Q: The manager of a large apartment complex knows from experience that 120 units will be occupied if th...

A:

Q: Q6) Evaluate the following integral by using Odd and Even Powers Method: y = | cos* (;x) dx

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) xp J xV81 - (In x)²

A: topic ,- indefinite integral

Q: Find the solution of the following Differential Equations 2) (xdy- ydx)/x 0 4) 2x In(y)dx+ y'r dy 0 ...

A:

Q: Evaluate ft da 22-r-6 O a. 4ln r 3+ In r+2 +C O b. 4ln r+3- In a+2|+C c. 4ln a-3- In r+2 +C O d. 4ln...

A:

Q: Determine whether the series is convegent or divergent. If it is Convergent, find its sum. If s an=l...

A:

Q: If the solution to ſe2* sec²(e²×+1)dx is equal to k tan(e2x+1) + C , find the exact value of k.

A: We know, ∫sec2(x)dx=tan(x) ddxemx=memx

Q: 2. Show your solution. The sample space that describes all three-child families according to the gen...

A:

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A: Given:

Q: Consider the curve y = V 2x – x² where 0 < x < 2. -

A:

Q: 1. Given: a2 = 12, a3 = 24 Find: ao =? a. 2 b. 4 с. 3 d.

A: Topic:- sequence and series

Q: 2:(y-x² )dx+ dy =0 1.

A:

Q: Determine whether the series converges. 2 +4 2 +9 O The series converges. O The series diverges.

A:

Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = xo and then find the nth Taylo...

A: Given problem:- Find the Taylor polynomials of orders n = 0, 1, 2, 3 and 4 about x = x_{0} and then ...

Q: The owner of a cattle ranch would like to fence in a rectangular area of 3000000 m² and then divide ...

A:

Q: Given A=3az +3ax -2ay, B=2ay -ax +5az, C=3ax +2az +2ay and D=-ay +3ax -2az. Find scalars a, b and c ...

A:

Q: Find A

A: A={4-1 22-4 21-2 1}Multiplying Row-3  by 2;A=12{4-1 22-4 22-4 2}[As multiplication by scalar effects...

Q: a. When Frank initially sees the coyote, the angle of depression for his vision is 6 degrees. Draw a...

A: Frank stands at the top of a cliff. On the ground 310 feet below, frank spots a coyote.

Q: A statue 3 m high is standing on a base of 4 m high. If an observer's eye is 1.5 m above the ground,...

A: Solution is written in below steps.

Q: m2+2m Consider f dm. If we let u = m + 1, what will be the resulting integral as a function of u? m+...

A:

Q: Current Attempt in Progress Use the ratio test to determine whether the series converges or diverges...

A:

Q: Use the ratio test to determine whether the series converges or diverges. If the test is inconclusiv...

A: This question is based on ratio test.

Q: Find the specified limit fCx)=(x+2,x>-1 lim, fa)=3 ×マー

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) sin x dx 3 + cos? X

A:

Q: Question 16 Determine f(x) so that | cos(In?x) f (x) dx = sin(In²x) + C ... 2ln(x) A) In(x) B 2In(x)...

A:

Q: 4. Fond theequation ofthe tangent line to the graph of the Function FCx)=R-JX at the point (1,0).

A:

Q: Evaluate the integral. 5 x2 e dx +C

A:

Q: A Plane flies 320km due West and then 240km due North. W- ►E 320 km 240 km

A:

Q: Evaluate the integral. In(9 x - 8) dx =| +C %3D

A:

Q: S(x) = Vī – 8 VF f "(x) =

A: Given, fx=x-8x3 We have to find f'x.  

Q: Question 2 If S(16x4 – 16x³ + 4x²)dx = F(x) + C, then F(x) 16 A 5 4 x3+4x4 3 B (4x² – 2x) 3 16 4 x3 ...

A: The given integral is 16x4-16x3+4x2.

Q: EXERCISES O soke the follwing linear syskems of equations: 4x -Ry +3z = -2 2x +2y + Sz = l5 8x-Sy-22...

A:

Q: 7. Read about the Integral Test in Section 11.3 and, specifically, through example 2 to see how the ...

A:

Q: т?+2m Consider dm. If we let u = m + 1, what will be the resulting integral as a function of u? m+1

A:

Q: landscaping

A: We will find a linear equation. 

Q: dx - 7y*; when y=1,x=-1 1. 2. (4+sine*)y' =e*(6sec e* -ycose");y(ln x) = 1/4

A:

Q: nd the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about = zo and then find the nth Taylor po...

A: Topic:- calculus

Q: ew PollCies Current Attempt in Progress Find the general term of the sequence, starting with n = 1, ...

A: Topic:- sequence and series

Q: Q5) Use the Chain Rule to express dy /dx in terms of x and y: y = csc t аnd x = sec-1t

A:

Q: (2х — Зу + 2)dx - (3x + 4у-5); У-3) %3 4 |

A:

Q: Find the radius of convergence and the interval of convergence. k +8 Radius of convergence: Interval...

A:

Q: What is the value of 7/2 r(3 cos(x) + sin(x))dr? 7/2 Give your answer as an integer or as a decimal ...

A:

Q: . 2:(y-x² }tx+dy=0

A:

Q: Q2) Show that y = 35 x* – 30 x² + 3 satisfies ( 1– x² )y" – 2xy' + 20y = 0 %3D

A:

Q: 3Tt of cSC X du If u = f(x), then dx cos X . Compute %3D 2 sin x и -

A: Given ,  u = f(x) 

Q: If f(16x*- 16x³ + 4x²)dx = F(x) + C, then F(x) %3D

A: Formula:∫ xn  dx  = xn+1n+1 + C   Integral:I=∫ (16x4-16x3+4x2) dxI=∫ 16x4 dx -∫16x3 dx +∫ 4x2 dxI=16...

Q: Q6) Evaluate the following integral by using Odd and Even Powers Method: y = cos* (;x) dx

A: y=∫cos412x dx

Q: Find the derivative of the function without using the Quotient Rule. y 63 8(x)10

A: