Find the dimensions of a rectangle with area 1521 metres squared whose perimeter is as small as possible. List the dimenions in non-decreasing order.

Q: 8) The vertices are (2,4) and (2,8). Foci are (2,3) and (2,9).

A:

Q: Find the dimensions of the rectangle with maximum area that can be in- bed in the ellipse x²/a² + y²…

A:

Q: th Use the ri"-term test to find wether the fottowing Sexies exe divergent or not- n+2

A:

Q: Let A = (-1,2, 0) and B = (2, – 1, 3). Determine the following: (а) 2A В (b) angle between A and B…

A:

Q: Given a function f(x,y) = x* + 2y+ 8xy - 7 The critical points of f(x,y) occur at the points P(0 ,…

A: Let's find.

Q: For the function f, use composition of functions to show that f 1 is as given. 7x -7 f(x) = =x+1, f…

A:

Q: f(x)

A: We will find the equation of tangent.

Q: For the function f, use composition of functions to show that f 1 is as given. 6. 7x-7 f(x) = =x+ 1,…

A:

Q: 29. What is the lim f(x)? 2 В. DNE С. -2 D. -4 A. O A O D 30. At which value of x is the graph…

A: Solved below

Q: Let yu + 3v+7 =2. Complete parts (a) through (c) below. du (a) Find the derivative dv du dy

A: Note: As part (a) is only attached solved that for you.

Q: C. Find the derivative of each function. x' - 2x 3. h(x) = 4. F(x)=sin x- cos x- tan x tan x D.…

A: Follow next step

Q: x2 (a) Find a power series representation for f(x) = 1 + x3 °

A:

Q: 1 x* – 1 4 1 a) -arctan - 2 1. - In 3 + 3 4 1 8 b)arctan 3 - in 2 + 1 1 -In 2+ 4 8 1 c) - arctan 3…

A: After calculating the definite integration use the concert of inverse trigonometric ratios to…

Q: Use the graph of f(x) to determine whether the function is one-to-one. If it is, find a formula for…

A: Here we have to find the inverse of the given function.

Q: A manufacturer has a steady annual demand for 12,000 cases of sugar. It costs $8 to store 1 case for…

A:

Q: Find the derivative of g(x) = 6 + 8x4 at x = 1. ANSWER: g (1) = (Again, your final answer should be…

A:

Q: 24 How many 3 letter codes can be formed from the word PROJECT if letters cannot be repeated? 7C3 7!…

A: Number of m letter codes from an n letter words without any repetition can be formed in = nPm ways.…

Q: 25. Find the constant(s) c for which the function f(x) is continuous on (-∞,+ ∞) (c? — х2 , х<2 12…

A:

Q: For the following demand function, find (a) E, and (b) values of q (if any) at which total revenue…

A:

Q: For numbers 26-30,consider the graph at the right. 3+ -4 -3-2 -1 1 -2+ -3+ 26.What is the lim f(x)?…

A:

Q: A police car is located 60 feet to the side of a straight road. A red car is driving along the road…

A: The police car and the red car are at the twovertices of a right angle triangle with legs of200 feet…

Q: Find the derivative of the function y = xta{z) y =

A:

Q: Question 3: Find A-!, using “super-augmneted ma- [3 1 1 -17 A = 5 2 1 1 -1

A:

Q: At the beginning of an experiment, a scientist has 268 grams of radioactive goo. After 180 minutes,…

A: We have to determine the equation for G(t) and remaining amount after 32 minutes.

Q: dy Differentiate implicitly to find dx 2x+7xy + 9y + 19y- 8 = 0 + dy %3D dx

A:

Q: x2 dy dx2 d²y dy + 2y = 5x° cos(x) 2x Jx - dr solve the equation by undetermined coefficients method

A:

Q: Vx+5-3 lim X→4 х—4

A:

Q: Integration by Trigonometric Subshtunon SxCx?- ax+4) $12 XP

A:

Q: Find the dimensions of the rectangle with maximum area that can be in- scribed in the ellipse x2/a²…

A:

Q: Suppose f has absolute minimum value m and absolute maximum value M. Between what two values must…

A:

Q: n-1 £(- Given the series 8 n=1 Does this series converge or diverge? O diverges converges 6 If the…

A:

Q: Find the limit. Use l'Hospital's Rule if it is appropriate. If there is a more elementary method,…

A:

Q: A study of the demand for air travel between two cities depends on the airfare according to the…

A: Given query is to find elasticity of the demand.

Q: Graph the function and its inverse using a graphing calculator. Use an inverse graphing feature, if…

A: To solve the following problem

Q: Let f(r) = 2.4x – 5.4x. Use the difference quotient and h = 0.001 to estimate the slope of the…

A:

Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = x³ - y, P(6,…

A: The given function is: f(x,y)=x3-y3 Now,  ∇f=∂f∂x,∂f∂y=3x2,-3y2∇f(6,5)=(3(6)2,-3(5)2)=(108,-75)

Q: d) L{e f, sin dr}

A:

Q: Determine whether the planes are parallel, orthogonal, or neither. 2x - 10y - 2z - 1 2x - 10y - 2z =…

A:

Q: Vn3 + n2 + 1 Determine whether the series converges or diverges. E1 n2 -n+3

A:

Q: Find the average value TEX of the function f (x) =4sin cos on - 2 the interval [1,4].

A: Given problem:- f(x) =4 sin(πx/2) cos(πx/2)  To find:- Average value of the function over interval…

Q: Estimate the area under the graph of y = x2 + 2x for x between 0 and 2. Use a partition that…

A:

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

A:

Q: Let F(x) = f(f(x)) and G(x) = (F(x))² . You also know that f(6) 7, f(7) = 2, f'(7) = 13, f'(6) = 6…

A:

Q: Let f(x) =- a) Use the concept of limits to determine the equation of the horizontal asymptote of…

A: Consider the function  f(x)=xx-1

Q: with the limit definition of a derivative find the derivative of g(x) = (x-1)^2 + 1

A:

Q: 1 is 1+a A power series representation for za+1 for | – z| <1 а. n=0 Ob. Σ 22n for |– a| < 1 Oc. z"…

A:

Q: x – 2 Let g(x) = x + 3 (a) Find the third degree Maclaurin polynomial of g.

A: Solution: So what we need to do to get the desired polynomial is to calculate the derivatives,…

Q: 5. Compute the volume of the region outside of the cylinder r² +y² = 16 and inside the sphere x2 +…

A:

Q: 16 A scientist found the number of bacteria (y) after (t) minutes can be estimated by the following…

A: We can solve as follows

Q: The consumer demand curve for Professor Stefan Schwarzenegger's dumbbells is given by g = (95 -…

A: Given,  q=95-2p2 Recall: Revenue=p*q