7) An open-top box is constructed from a piece of cardboard 50 cm × 40 cm by cutting congruent squares from the corners and then folding up sides. A side of each square is x cm. Determine the values of x for which the volume is equal to 6000 cm³. Show all steps of your solution.

Q: If the brakes on a car can give the car a constant negative acceleration of 2k m/2 , where k is a po...

A:

Q: 6. f Vesx + etx dx

A:

Q: Given revenue and cost functions R(q)=80q−0.2q2 and C(q)=15q+500​, find the quantity that maximizes ...

A: This question can be solved using the concept of maxima and minima.

Q: Find the area of the region bounded by the curve y=1. and the x-axis.

A:

Q: sin-cos-sine de has the form --F(0). 2 The resulting integral of +C. What should be the value of e t...

A:

Q: F F) s an antiderivative of x-+x-, then what is the value of F(1)-F(-1)2 -1

A:

Q: cos2x sin2x cos2x For What is F(x)? -dr=-F(x) 3 +C: cosx - sinx (sinx – cosx) | (cscx – secx)3 есх 2...

A: This is the question of indefinite integration.

Q: S 10* dx may be written as lsecRx 1 tanR*+ C where A, B, and C are constants not equal to zero. Eval...

A:

Q: CHAIN RULE DERIVATIVES Directions: Differentiate the given fnctions 7) gx) = 13lbc" (5bt 4c t 9)s

A: Given function g(x) = 13bc3(5b+4c+9)5 Find:- Find differentiation with respect to 'x'

Q: Solve the initial value problems. 2. 2y" – 9y' + 9y = e3* y(0) = 0, y'(0) = - 8

A:

Q: Suppose the closed curve C in R? starts at the point (-1,1), goes along the parabola y = x2 to the p...

A:

Q: (cos(2x) – sin(2x) cos(2x)) cos(x) – sin(x) For -dx%3D +C. What is F (x)?

A:

Q: cos2x – sin2x cos2x F(x) +C. What is F(M)? For dx%3D cosx – sinx 3

A: A detailed solution is given below

Q: hat is the integrable form of J JcoE e sin sin(0) do cos 1– u² du sin 2 – 1 du s(u) du

A:

Q: Make a problem solving question with full solution regarding area of circle. Include a graph, diagra...

A: Let's  find maximum  area a  cow ? can graze  for above problem.

Q: What is the integrable form of sin e) de? sin (A du 2 cos(u)du (©) -2 © -2/sin(u) du D) | - u² du

A:

Q: Question 11 What sin A du du © 2 -2 / sin(u)du

A: To find integrable form of given integral. Using substitution by trigonometry.

Q: 6. The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3) is on th...

A:

Q: Which of the following is an improper integral?

A:

Q: The antiderivative of f (x), which is F (x), exhibits an odd symmetry, i.e., it satisfies the * prop...

A:

Q: sin-cos-sino dO? 2 2 21. What is the integrable form of А. sinu du -2 В. c. ?/. cosu du с. D.

A:

Q: dx - = In[F(x)]+C• What is f(/3) if C = 0? For (x+x³) (x Tan-!x+1) 3 6. V3 +

A:

Q: 10. a d The general antiderivative of (3x2 – 4) 2x2 can be written as -x" -x" + x" + C. What is the ...

A: On solving this we will get

Q: dx For - = In[F(x)]+C•What is F(/3) if C = 0? (1+x;_u®_L x)(;x+x) 6. + + -15

A:

Q: 8. W ( 10л 3 9. W W (–317) 22л 10. W 3

A: Since there are multiple questions the first question is answered as per our guidelines. kindly repo...

Q: 15. (ez + e-z)2 dx.

A: Given: I=∫01ex+e-x2dx As we know from the hyperbolic trigonometric identities; 1). sinhx=ex-e-x2 2)....

Q: dy (16) 2xy = x² + 2y² dx

A:

Q: A. Use the tabular method to evaluate the following limits. Set three values of x from each side. Ro...

A:

Q: S(3x* – 5xP +x=³)dx.

A: Given query is to find the integral.

Q: Find the area of the region bounded by the curve y2=4x and the lines x = 1 and x = 4. A 21/2 square ...

A:

Q: d?y (2) dx2 2dy + 4y = 0 No boundary conditions

A:

Q: A stone is thrown vertically upward from the top of a house 112 feet high. If it was thrown at 96 fp...

A:

Q: Question 8 d'y =6-9x and which passes through the points (0, -1) and (2, 3). dx2 Find the equation o...

A:

Q: sias The integral cost -e de may be written as me' +px+ ge" +C• where m, n, p, q. r, and C are const...

A:

Q: The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the propert...

A:

Q: Given cost and price​ (demand) functions C(q)=110q+43,000 and p(q)=−1.9q+880​, what price maximizes​...

A: Please see the below picture for detailed solution. 

Q: 1. Complete the following tables of values to investigate lim(x² – 2x + 4). f(x) f(x) 1.6 0.5 1.35 0...

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: What is the integrable form of sin-cos-sine de? 2 2 (A) - - B -2 sinu du (D cosu du

A:

Q: Complete the table to determine the effect of the number of compounding periods when computing inter...

A: topic - compound interest

Q: dx - = In[F(x)]+C•What is F(/3) if C = 0? For (x+x³)(x Tan-'x+ 1) + + +

A:

Q: Given

A:

Q: sec. sec A x2 + 1 x2 +1 2x Option 1 Option 2 x² – 1 x2 – 1 - 2x Option 3 Option 4

A: Given secA+tanA=x To find secA:

Q: sinx cosx - e sinx +x The integral -dx may be written as me"sinx + px + ge* +C, where m, n, p, q, r,...

A: The integration of the integral is (cosx-esinx+esinx+x)/esinx.

Q: What is the integrable form of / sin-c cos-sin@ do? 2 -2 | sinu du 2 | cosu du 1 – u² du u² – 1 du

A: In this question we have to find Integral form of the given Integral.  

Q: x2 and the x-axis. Find the area of the region bounded by the curve y=1-

A: SOLUTION-

Q: What is the integrable form of sin-cos-sin0 do 2 2

A:

Q: If cos? 0 – 3 cos 0 + 2 = sin² 0 and 0 an acute angle, then the value of (4 cot 0 + 2 csc 0) is V3 8...

A:

Q: Use implicit differentiation to find an equation of the tangent line to the graph of the function at...

A:

Q: The general antiderivative of (3x2- 4)2x² can be written as x" a m --x"+-xP +C. b n What is the valu...

A: We will find the general anti derivative. 

Q: Find the area of the region bounded by the curve y=1--x? and the x-axis. 8 square units 4 square uni...

A: