Question 8: Is the fuction f(x, y) = - x²y x²+y² if (x, y) = (0, 0), if (x, y) = (0,0) Continuous? Explain why.

Q: Find a polynomial of degree 2 that has two irrational zeros. Explain how you created this…

A:

Q: Solve. Six(x+1) ( + 1) dx 288 10 를 16 5 43 10

A: To evaluate the given integral

Q: Find the inverse of the relation {(7.8), (4,6), (², 4), (0, 3), (8, -3)}

A:

Q: A waste management company is designing a rectangular construction dumpster that will be twice as…

A:

Q: A continuous function y = f(x) is known to be negative at x = 5 and positive at x = 8. Why does the…

A:

Q: Use the (a) y = quotient rule to differentiate e4x x² + 2 (b) y et In x

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 1. Given the function f(x) = 4x3 + 12x² 15x + 2, a) Find the first derivative and the critical…

A: Given function:- f(x) =4x3 +12x2 -15x + 2

Q: solution

A:

Q: (Multiple Choice) Let h(x) be a polynomial with 3 real zeros and two imaginary zeros. Which of the…

A:

Q: Find an equation for the hyperbola described. Graph the equation. Foci at (3,7) and (9,7); vertex at…

A: The Solution is given below:

Q: Consider the equation: |x+1| +5=3x a) Solve to find all potential solutions. b) Verify each…

A:

Q: Suppose that f is a function with f'(6) = 0 and f''(6) = 2. O Then f has a relative maximum at x =…

A:

Q: Find a function that satisfies the given conditions and sketch its graph. lim f(x)= 1, lim f(x) =…

A: To find a function that satisfies the given conditions and to sketch its graph.limx→±∞ fx=1, limx→4-…

Q: f(x, y) = xy², R = [0, 6] × [−1, 1]

A: The given region is R=[0,6]×[-1,1] The given function is f(x,y)=xy2 Let A= The area bounded by…

Q: Re-write the given expression in the form of pªn³. - 2 р (n-5) √P A B = -

A:

Q: Determine where the function is concave downwar h(t) 125 #l

A:

Q: → Use the Table of Integrals to find the following antiderivatives. Be sure to cite the Formula…

A:

Q: The integral in this exercise converges. Evaluate the integral without using a 00 Ĵ -∞ S -8 2x dx 6…

A: Given query is to find the value of the integral.

Q: 4. The volume of a certain gas is given by V = 207 where T is temperature in degrees Celsius and V…

A:

Q: x²-x-6 x² + 4x+4 x +5 +6 + 6-2x a) Factor and determine the non-permissible values of x. 2. Consider…

A: Solve the quadratic equations to find the roots.

Q: Find three positive numbers whose sum i 21 and the sum of whose squares is as small as possible. Be…

A: I am attaching image so that you understand each and every step.

Q: E. DE with Linear Coefficients (x+2y-1)dx - (2x + 4y + 1)dy = 0

A:

Q: Use the Limit Comparison Test to determine the convergence or divergence of the series. lim 718 00…

A: We have to determine if given series converges or diverges.

Q: Evaluate the following iterated integral. 2 16 SS 9y 09 √x+y² dx dy 2 16 SS 9y 09 √x+y² dx dy =…

A:

Q: 8 5k Σ k² 4k+1 k=1

A: By using the root test to analyze whether the given series converges or diverges. If the root test…

Q: Given the function f(x) = x³ + 3x² − 45x + 8 over the interval -10 ≤ x ≤ 5, answer the following…

A:

Q: 7.2. Use the definition to find f'(z) when =14 (z‡0), (b). f(z) = z² - z. (a). f(z):

A: The objective of the question is determine the derivative of the given functions.

Q: 1. a.Determine the equation of the function that has zeros (roots) at 2, 2, 5 and the yint = -10. b.…

A:

Q: Let f(x) = 4x + 1 f¹(x)

A: Given query is to find the inverse of the function.

Q: Find T-4 2-4

A: We have to find  limx→4- x-4x-4.

Q: Find a function that satisfies the given conditions and sketch its graph. lim f(x)=1, lim f(x) = oo,…

A:

Q: The base of a railing for a set of steps leading up to the front door of a house makes an angle of a…

A: I am attaching image so that you understand each and every step.

Q: Find the exact value of each expression. Your answer should be either a fraction or an integer.…

A: NOTE: Refresh your page if you can't see any equations. . now the range of the sine inverse…

Q: 11. Graph of the derivative f'(x) The graph of the derivative f' of a continuous function f is…

A: Consider

Q: Determine whether the function g(x)=√x+1 is invertible, and find the inverse if it exists.

A: Given query is to find the inverse of the function.

Q: Let B={b₁,b₂} be the basis in R2 pictured below. b₂ 0 If the coordinate vectors [11] b₁ a

A:

Q: > Use the Table of Integrals to find the following antiderivatives. Be sure to cite the Formula…

A:

Q: ch of the following functions satisfies the given conditions? A. f(x) = - c. f(x)= -x-2 +4 1 (x-2)²…

A: Given query is to find the function which has indicated properties.

Q: Determine where the function is concave upwa f(x)= x² 2 x²-1

A:

Q: Verify Green's Theorem by evaluating both integrals [ 1² dx + x² dx = √ √ √ (²-8²) CA dy - /…

A: Given data÷ ∫cy2dx+x2dy Now we need to find the value of integral along C1,C2,C3,C4   1) For the…

Q: Use the given graph of f to find a number 8 such that if 0 < |x - 3| ≤ & then [f(x) − 2| < 0.5. y 8…

A:

Q: Use the relation lim 0-0 lim X-0 tan (6x) X Select the correct answer below and, if necessary, fill…

A:

Q: 4. A container has the shape of an open right circular cone. The height of the container is 10 cm…

A:

Q: (c) y = 2 (f) y = sin ¹ r (i) y = x ¹⁰ 10

A:

Q: Define f(10) in a way that extends f(s) = 3 s³ - 1000 S 2 S-100 to be continuous at s = 10.

A:

Q: Use the relation lim 0-0 lim X-0 tan (12x) X sin 0 0 Select the correct answer below and, if…

A:

Q: For the function f(x) = 2 tan(2x − 2) + 5, find the following. a. The stretching factor: b. The…

A: NOTE: Refresh your page if you can't see any equations. . here coefficient of the tan function is 2…

Q: 1. Let f(x) = x² and g(x)=√x+1. (a) Find f g and its domain. (b) (c) Find and its domain. 9 Find f +…

A: Given functions are fx=x2, gx=x+1 We need to find the following using the given function, f·g and…

Q: The graph of the derivative f' of a continuous function f is shown. y 2₁ 0 -2+ 2 y = f'(x) (b) State…

A:

Q: QUESTION 10 Let W (s, t) = F(u(s, t), v(s, t)) where u(1,0)=-4,u,(1,0) = -7, u₂(1,0) = -4 v(1,0) =…

A: Here  ⇒wss,t=∂w∂u×∂u∂s+∂w∂v×∂v∂s ⇒wts,t=∂w∂u×∂u∂t+∂w∂v×∂v∂t