Find all points (x,y) where f(x,y) has a possible relative maximum or minimum. Then, use the second-derivative test to determine, if possible, the nature of f(x,y) at each of these points. If the second-derivative test is inconclusive, so state. f(x,y) = 5x² + 10xy + 7y² + 10x + 14y+9

Q: 5. • lim x-1 • lim x-0 Use the definition of derivative to evaluate the following limits. x²x+1 +x-2…

A:

Q: 2-10x+10 -2 perform the division. Express your answer in the Division Algorithm.

A:

Q: Let F(x) = √4x7 √4x75x+2 5) Find f'(x) for f(x) = 2x³+ 3x - 5e² 3 -ax 7) find the deriative 4х2-…

A:

Q: Find all values of x for which the series converges. (Enter your answer using interval notation.) ∞…

A: To find all values of x for which the following series converges. For these values of x, to write…

Q: The tangent line to the graph of function f at x = 0 is given by y = 3x + 2. Find g'(0) if g(x) = F

A: the tangent line to the graph of function f at x=0 is gievn by  y=3x+2

Q: Find possible values of a and b that make the statement true. 6 6 [₁ 1 ºf - [ ° F(x) dx = [₁ F(x) dx…

A:

Q: Maximizing Profit The total weekly revenue (in dollars) of the Country Workshop realized in…

A:

Q: A pot of boiling soup with an internal temperature of 100° Fahrenheit was taken off the stove to…

A:

Q: Solve the equation for exact solutions over the interval [0°,360°). 2√3 co cos 20= -3 ...

A:

Q: converges or diverges. Give reasons for your answer. e answer box to complete your choice. it used…

A:

Q: (x, y) = ¹ +r³y - 2y' find fz (z,y), fy(z, y), and evaluate them at (1, of Find fa(, y) = da Answer…

A:

Q: A closed rectangular box with a square base and a volume of 10 ft3 is to be constructed with a…

A:

Q: Find the average rate of change of g(x)=-³-5 from z= -3 to 4.

A:

Q: Antiderivatives Definition: A function F is an antiderivative of f on an interval I if F'(x) = f(x)…

A:

Q: 7. Find the instantaneous velocity and acceleration at the given time for the straight-line motion…

A: Given: To Find: To find the instantaneous velocity and acceleration at the given time.

Q: Find F'(x). F'(x) = F(x) = X + 5 D Need Help? (4t+ 8) dt Read It

A: Explaination of the answer is as follows

Q: x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item, and…

A: To find the equilibrium point, consumer surplus, and producer surplus, you need to set the demand…

Q: b) Fully factor the following polynomial expressions. Clearly show all your steps. 6x²x2 16a²9b²…

A:

Q: Find the absolute extrema of the function on the closed interval. Use a graphing utility to verify…

A: f(x) =x^3-27x to find the absolute extrema on [0,

Q: Use a(t) = -32 ft/sec² as the acceleration due to gravity. (Neglect air resistance.) A ball is…

A: A ball is thrown vertically upward from a height of 4 feet with an initial velocity of 88 feet per…

Q: cosx=1+ b) Numerically (accurately to two decimals): lim-

A: Given Expression is as follows

Q: Find the right match for the following ODEs in the dropdown menu = x y y' = 5+ sin(y/x) Choose...…

A:

Q: 12) A rectangle has its base on the x-axis and its upper two vertices on the parabola y = 3-x². What…

A:

Q: Find f(, v) = of 11

A:

Q: Find the area between the curve and the x-axis over the indicated interval. y= [1, 10] == X The area…

A:

Q: Sketch an odd function with a negative leading coefficient having all of the following features:…

A: We have sketch the odd function with a negative leading coefficeint having all of the following…

Q: please complete the last one

A: (x+8)3

Q: Find g(x) if g'(x) = (75x2 − 100x) · 95x^3 − 10x^2 and g(0) = 9.

A: given function

Q: The population of a herd of deer is represented by the function A(t) = 217(1.11), where t is given…

A: The population of a herd of deer is represented by the function , where t is given in years. To the…

Q: 2. a) Multiply the following polynomials and simplify the answer (express in standard form): (3x −…

A: To multilply the following polynomials and to simplify the answer.

Q: Calculate the following limit, use L'Hopital's Rule where appropriate lim x sin 8个8 ㅠ X

A:

Q: ∞ Σ 9(0.8) – 1 n = 1 (a) Find the sum of the series. Sn = 45 (b) Use a graphing utility to find the…

A: The series is given as,

Q: (e) f(x, y, z) = 2xy²-5ryz. Calculate fr. fy. f. fry. faz.

A: given function

Q: A doctor prescribes 100 milligrams of a therapeutic drug that decays by about 25% each hour. To the…

A: A = A0(1-r)t

Q: A company estimates that the marginal cost (in dollars per item) of producing x items is  C'(x) =…

A: The given marginal cost function is .The aim is to find the cost of producing items.

Q: 9) Find dy dx for y = 8 sec () X 7

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Determine whether the series is convergent or divergent. 00 Σ 1+4π n = 1 9n convergent O divergent…

A: To determine whether the series is convergent or divergent.If it is convergent, then to find its…

Q: A rectangular plot of land is to be fenced in using two kinds of fencing. Two opposite sides will…

A: The cost of two opposite fencing is per foot and the other two sides are  per foot.The total cost…

Q: Solve 45x = 53x+1 for x. Round your answer to four decimal places

A: use log propertyln(x)^m =mln(x)

Q: 1) Using Intermediate Value Theorem prove that the function f defined by 6 f(x)==-3x²+2 X has a zero…

A:

Q: Two sides of a triangle are 8 and 4. Find the size of the angle 0 (in radians) formed by the sides…

A: We use second derivative test to find the value of  for which A is maximum.

Q: 59. 60: 61. ft+1₁ - dt 62. [² 63. t² - e²t :) 65. t + et dx ex+2 68. 10t5 3 e2w - t - -dt ew - 1 64.…

A:

Q: The demand equation for your company's virtual reality video headsets is p =  2,000 q0.3  where q…

A:

Q: 1) Given that y(x) = cos 2x, y₂(x) = 1, and y, (*) : equation, use the Superposition Principle to…

A: Given that are solution to a differential equation

Q: Consider the functions f (x) = cot² x and g(x) = csc² x. If you take their derivatives, you'll…

A:

Q: 13. A light is located 20.0 ft above the ground. A person 6.00 ft tall walks away from the light at…

A:

Q: 39. Find a and b given that ƒ(x) = ax/(x² + b²) has a local minimum at x = −2 and f'(0) = 1.

A: To find  given that  has a local minimumat .

Q: find the value of k given that both points lie on a line passing through the origin (k,-24) (5,40)

A: Determine the value of k given that both points lie on a line passing through the origin (k,-24)…

Q: Given two functions f(x) = x² - 6x and g(x)= x + 4 find the following. a) (fog)(12) = b) (gof)(12) =…

A:

Q: If f(x) = 3 cos(x), 0≤x≤ evaluate the left Riemann sum with n = 6, taking the sample points to be…

A: Where .