b) Find the maximum volume that such a box can have.

Q: x3-x²+1 4. S (x²+2x+2)² xp

A:

Q: Write the first five terms of the sequence: 11 ln n) +oo Determine whether the sequence converges, a...

A: To write the first five terms of the sequence.11 ln nnn=1+∞To determine whether the sequence converg...

Q: Select all possible vector equations for the line through the points (1,1,1) and (3,4,5). OF (t) = (...

A: Note that the vector equation of the line passing through two points a→ and b→is given by: r(t)=a→+t...

Q: Evaluate the integral J x cot x² sin(in |sin x²l) dx.

A:

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

A: Given I=∫-π2π2x(3cos(x)+sin(x)) dx To evaluate the Integral I :

Q: Solve the following initial value problem for y as a function of x. dy x = /x? - 16, 3x dx x24, y(4)...

A:

Q: ie lollowing anclions 3 · y² = 6 – x %D

A: Topic = function

Q: Solve using the U-Technique Question 18 dx du The integral S; reduces to f ka", where u = f(x) and f...

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: As we know that the nth order Taylor's polynomials at x=x0 is given by; pn=fx0+x-x011!f'x0+x-x022!f'...

Q: If S(16x4 – 16x³ + 4x²)dx = F(x) + C, then F(x) ?

A:

Q: Solve the initial value problem. dy + 5xy = 8x, y(0) = - 6 dx y =

A: topic - differential equations

Q: (2x² +)x (x8 + 4x5 + 4x²)2 Using u-substitution and transformation of the integrand, then the power ...

A:

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

A: Solution is written in below steps.

Q: 8. Let /(x) -x +x + 1 and g(xr)-x-3. Find the following new functions. サー メェx-』 ( 3. f subtract WOLE...

A: As per bartleby guideline I can solve only one question.(8) if you want other solution pls reupload.

Q: Find a parametric representation for each of the following surfaces: (a) 36(x-1)² +25,y² +9(z+2)² = ...

A: As per our guidelines, we can answer only one question in a single request. Kindly re-post the other...

Q: 1+ In x Find f (x) so that when u = f(x) the integral dx can be rewritten as cot u du tan(f(x))

A: So our approach in this question by substitution method . We can assume a function u in terms of 'x'...

Q: The integral / 2/ (*) cos(2*) dx takes the form k cosu du when u=2* and f (x) =x – 5. what is the va...

A:

Q: If cotx = 12 find the other trigonometric functions

A: Given that cot (x)=12 -(i)Our Aim is to find the other trigonometric functions.

Q: - 2y : Sketch in one coordinate plane the circies 2x – 6y + 6 = 0. Then, find their points of inters...

A:

Q: Determine whether the series converges. Σ k=1 V8k – 1 The series converges. O The series diverges.

A: To determine: The convergence of ∑k=1∞ 18k-13.

Q: dx The integral S ex+1 reduces to f k au, where u = f(x) and for some constant k . Compute f (1).

A:

Q: Find the indefinite integral. sinh(2 – 7x) dx Step 1 First, let u = 2 - x. Now, differentiate u with...

A:

Q: 1+ In x Find f (x) so that when u = f(x) the integral dx can be rewritten as cot u du . I tan(f(x))

A:

Q: Plot and label the following polar point on the graph. Find the Cartesian coordinates of this point....

A: see below the answer and explanation

Q: u+1 Using u-substitution, the integral S f(x)dx reduces to a new integral f g(u)du. If g(u) evaluate...

A:

Q: Set up a definite integral with respect to x (dx) (set up only, do not evaluate the integral) to fin...

A: Question: Setup a definite integral with respect to x dx to find the area of the region enclosed by ...

Q: k + 1 2(- 1)k+1 5k + 1 k=1 The series diverges. O The series converges.

A:

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

A:

Q: Evaluate the integral x cot x² sin(in |sin x²l) dx.

A: LetI=∫ xcotx2sinlnsinx2dxSubstitute u=lnsinx2Differentiate du=1sinx2ddxsinx2du=1sinx2cos(x2)ddxx2du=...

Q: Solve using the U-Technique Question 1 Consider the integral 2nx g(x) dx . There is a function g(x) ...

A: Given

Q: landscaping

A: We will find a linear equation. 

Q: Use sigma notation to write the Taylor series about x = xo for the function. 4 In x; xo = 1

A: Taylor series of function fx at a is defined as:       fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x-a3+…=0+ddx...

Q: Given h(s, t) = s In t – t ln s. What is the value of h(e, 1)? %3D

A: topic - functions

Q: Determine Linear Functions Directions: Determine which functions are linear and then drag each into ...

A:

Q: 2 Find 22 + 42 + ... + (2n)². Hence find 12 – 22 + 32 – 42 + ... - (2n), simplifying your answer.

A:

Q: In a certain bank account, after 10 months, the amount of money is given by the function S(t) = S0e^...

A:

Q: Consider the following equation. log1/5 16*-3 = 14 Find the value of x. Round your answer to the nea...

A: Topic = Algebra As per guidelines , At  a time only one question can be answered.

Q: 2. (x + 2) dæ: (x + 3) sin y cos y dy In(a + 3) sin y %3D + C ans. x -

A: (x+2) dx = (x+3) sin y cos y dyUsing the method of variable separable;x+2x+3 dx = sin y cos y dy   ∫...

Q: Solve using the U-Technique Question 17 For f (-4х-12) dx (x+10)³(x-4)³ F(x) - 1. What is F(3)? ... ...

A: given that ∫-4x-12x+103x-43=Fx-1find F3

Q: x² + y? = r2 O y = - y' = - y

A: topic - differential equation

Q: Plot the following functions 1. y = - V2x +1

A: x y=-2x+1 -12 0 0 -1 1 -3 2 -5

Q: 1. S(z) = 64 –³ VI 2. -12r2 S(z) = 1+ 8x²

A:

Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say ...

A: This is a problem related to series calculation. Based on the ratio test we will determine the natur...

Q: Evaluate f (22 -1)(z2+3z+2) O a. 구미z+11+ + 흡nz-1-mlz + 21 +C ㅇ b. 글mle+11 + 1 + 습nz-11+ 옮mlz+ 21 +C ...

A: Solving the problem by finding the integration.

Q: Solve using the U-Technique Question 14 Let dx be given . If = e* + 1, then the resulting integral i...

A: Solving the problem by finding the value of f(3)

Q: Find two positive numbers whose product is 324 and whose sum is a minimum. List them in non- decreas...

A:

Q: (a) Plot the first four terms of the sequence Зn? - Зп +2 2 (b) (i) Write in bracket notation the se...

A:

Q: Given: 5x cos 3x dx. If u = 3x, then the resulting integral is f(u)du. Find f ): 5/2 18 18 5/2 12 5/...

A:

Q: Use the binomial series to find the Maclaurin series for the function. f(x) = V1 + x 1 f(x) = 1 + + ...

A: Let's find. 

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...