32. Packaging. A parcel delivery service will deliver a package only if the length plus girth (distance around) does not exceed 108 inches. (A) Find the dimensions of a rectangular box with square ends that satisfies the delivery service's restriction and has maximum volume. What is the maximum volume? (B) Find the dimensions (radius and height) of a cylin- drical container that meets the delivery service's requirement and has maximum volume. What is the maximum volume?

Q: Activity 2. Instantaneous Velocity The velocity of moving object at a point during its motion can be...

A:

Q: Find an equation of the sphere that passes through the origin and whose center is (1, 2, 3).

A: I have appended the formula used in the solution part.

Q: Use the shell method to write and evaluate the definite integral that represents the volume of the s...

A:

Q: Verify that the two lines are parallel, and find the distance between the lines. (Round your answer ...

A:

Q: A school wishes to enclose its rectangular playground using 160 meters of fencing. Suppose that a si...

A:

Q: Let f(x)= x/x-2.Show that there is no value c ∈ (1, 4) such that f'(c) = f(4)−f(1)/4−1.Why is this n...

A: Given: f(x) = x/(x - 2) Show that there is no value c ∈ (1, 4) f'(c) = f(4) − f(1)/(4 - 1) If f(x) i...

Q: Slope of the Tangent The rate of change at any point on a function is the slope of the tangent line ...

A: Rate of change

Q: x2 + x+1 x -1 Find all the asymptotes of f(x) = O No slant aymptote Horizontal asymptote y=0 Vertica...

A:

Q: The function implieity detimed by the equation x² +yZ =36 Is a solution tor the following differenta...

A:

Q: I xydxdy 11.

A: To solve the given double integral.

Q: earctan(x) -dr x² +1 0-

A: Find your answer below 

Q: 14 Find [3f(x) – g(x)]dx if 14 14 | f(x)dx = 3 and g(x)dx = 9.

A: Topic = Integration

Q: Next que Does the sequence (a,) converge or diverge? Find the limit if the sequence is convergent. a...

A:

Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not un...

A: Given,           u=-94i+12jTo find : Find two vectors in opposite directions that are orthogonal to ...

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with ...

A:

Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not un...

A:

Q: A. Determine whether the graphs of the following are continuous or not. Write yes if it is. Otherwis...

A: 6. Yes because exponential function is always differentiable.  7. Yes because it is everywhere diffe...

Q: You would like to have $550,000 when you retire in 35 years. How much should you invest each quarter...

A:

Q: USing Inverse DiPfecren tial ofera tor to find Particular Solution of 9 -4Y = Cosh (2x -1) + 3 %3D

A: Based on the general formula of particular integral we will solve the question.

Q: 3x² – 7x + 9 at a = –1

A: Find first derivative that is the slope of curve at given point.

Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does...

A:

Q: Complete the interval table (you can do this in your notes) for the continuous function, then determ...

A: Find your answer below 

Q: Find u x v, v x u, and v x v. u = 3i + 7k v = 5i + 9j – 3k. %3D (a) u x v (b) (c) V X V

A:

Q: Find the angle 0 between the vectors in radians and in degrees. u = (2, 2), v = (4, –4) (a) radians ...

A:

Q: 1) Suppose that you are headed towarda plateau S0 meters high. If the angle of elevation to the top ...

A:

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given ...

A: The equation of the plane P which is normal to the vector n and passes through the point R is given ...

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with ...

A:

Q: 3x Find the limit: lim,→7 I+2

A: This is a limit problem of the function. Please follow the procedure given below.

Q: Find u v, u u, ||v||², (u · v)v, and u (3v). u = (3, 10), v = (-4, 3) %3D (a) (b) (c) ||v|

A: Since you have asked a question with multiple parts in a single request we would be answering only t...

Q: Use the definitions of the hyperbolic functions to find each of the following limits. (If the limit ...

A:

Q: Activity 1. Slope of the Tangent The rate of change at any point on a function is the slope of the t...

A: We want to find rate of change of the function at the given point. 

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

A: Topic = Vector

Q: evaluate the given double integral. (1– y)x² dxdy

A:

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

A:

Q: Find the dot product of u = u=(-4,-9) and v=(3,-2)

A: Given: u=(-4,-9)v=(3,-2)

Q: onsider the following planes. 3x + 6y – z = 84 X - 12y + 2z = 0 (a) Find the angle between the two p...

A:

Q: Find w such that 2u + v- 3w = 0. %3D u = (0, 5, 7, 2), v = (-3, 4, -8, 1) W =

A: vector

Q: State the order of the given ordinary differential equation. (sin 8)y" - (cos 0)y' = 9 Determine whe...

A: Find your answer below 

Q: 5. Solve the following Inhomogeneous Differential Equation 1 y" + +y = x² – 2x 4

A:

Q: 6 Convert your original pair of complex numbers to polar form. D= 1-j2 A = 2+ j3

A: To convert the complex number to polar form.

Q: write the equation for the function graphed below. Use smallest degrees possible. 9. 7. 4 10-9 -8 -7...

A:

Q: The value of the integral T/2 sin x dx cos(x)e- sin Jo is: Оа. 1-е-1 O a. O b. e- sin 1 O C. С. cos ...

A:

Q: Find the interval of convergence of the series k(x+ 2)* 5k+1 k=1

A: The given series is: ∑k=1∞k(x+2)k5k+1...(1) Let, ak=k(x+2)k5k+1; k≥1

Q: Exponential Functions Logarithmic Functions Absolute Value Functions (Basic) Sine function . (Basic)...

A:  A function is continuous if there is no absurd jump in its domain i.e., a continuous variation (tha...

Q: d²y dy y = e * is a solution of dx2 = 0 dx

A:

Q: f(x) : ²+4x-5 a+5 c = - 5

A: The objective of the question is checking the continuity of the given function at given point.

Q: A 75 L gas tank has a leak. After t hours, the remaining volume, V, in litres is 2 V(t) = = 75( 1 ,0...

A:

Q: 1- Find the vector P P2 and P2P1 a - P.(3,2,3) , Р.(5,7,-1) b- P1(-2,-1,0), P2(4,-5,2) P1(0,3,3), P2...

A: To find the vector P1P2 & P2P1

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

A:

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given ...

A: