swer of the following lim 2x²+6y² lim (x,y)→(0,0) x²+y²

Q: Sketch the graph of y=x+4 and give the exact coordinates for both the x-intercept and the…

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Q: Consider the following parametric equation. a. Eliminate the parameter to obtain an equation in x…

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Q: Question 1 f(x, y) = 4xy 2x²+5y² Consider the function a)!* s Find the domain of f. b) [₁ Show that…

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Q: If f(x, y) = A In (x² - y) -x+y+1 O {(x, y) x² > y, {(x,y)|x² ≥ y, ○ ○ {(x, y) x² > y, | then the…

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Q: Evaluate: cot¹ (+) -do None of the choices Ocot³ (1)-cot ()- tan³ () - tan() - ○ cot³ (1)- - tan() -…

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Q: Determine the derivative of the following function and simplify: tan³ (22) sin² (5x) - O 2 tan² (2x)…

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Q: a) Find an equation of the tangent plane to the surface at the given point. xyz = 15, (1, 3, 5) b)…

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Q: In reference to the following function:  f (θ) = (θ − 3) cos(θ) Write down an expression,…

A: use the polar curve to find the expression of the area.

Q: Use synthetic division to show that the number given to the right of the equation is a solution of…

A: Given :

Q: Find y': Oy: Oy = Oy' = O y' y cos(xy)+1 x cos(xy)-1 x cos(xy+1) y cos(xy)-1 y cos(xy)+1 x cos(xy)-1…

A: To find the value of y' for the given function.

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

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Q: For the limit, sin(x² - y²) x² - y² if we approach along y-axis, we will get 0. Select one: O True O…

A: We know :- If we approach along y axis the x=0

Q: Use Cauchy's Integral Formula and Cauchy's Integral Formula for Derivatives, when appropriate, to…

A: See this solution in below

Q: Present a second order differential equation. Identify the corresponding auxiliary equation.…

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Q: Evaluate f cosh² x dx đ (sinh 2 từ t + x) + C O 2r O2e² +42 + C 8 O None of the choices…

A: We have to evaluate  ∫ cosh2(x) dx

Q: Use the given information to find the exact value of the trigonometric function.  cos θ = 1/4 , csc…

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Q: f(x, y) = Find fx, fxy, and fxyx. 7 8x+5 + 8x³ e-8y

A: The given function is;  f(x,y)=7/(8x+5) +8x3/e-8y.

Q: •2 cy sỏ , (xy2 + x) dxdy.

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Q: The following limit lim Select one: 16 equals 1 3 equals 0. does not exist. None of them equals 2x²…

A: To evaluate the following limit.limx,y→-2,2 2x4+2y43x2-3y2

Q: Let Find fy. f(x, y) = x²y + √√x + 5y

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Q: If y = xcosx, what is dy if x = and dx = 0.2 ? 0-1/2 0-20 05/0 O EN T 10

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Q: Question 24 Which of the following statements is true about critical points? O It is a point in the…

A: We have to choose correct option for given question.

Q: then the / r(t)dt is equal to r(t) = (-2 cos (21), 3 sin (4t), In (2t)), Select one: True where C is…

A: Please see the below picture for detailed solution.

Q: Use the given information to find the exact value of the expression.  cos θ = 5/13 , θ lies in…

A: Given :cosθ=513

Q: Question a) b) C g(x, y) = (0,0). x³-4xy Let f(x, y) = x²-2y Find the first partial derivatives of…

A: Let fx, y=x5-4xy2x2-2ya To find the first partial derivatives of f.b To determine whether the limit…

Q: Evaluate √xdx f 1+x

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Q: The figure has a tangent line drawn at a labeled point. c(t) thousand chips 8 6 4 2 (1.95, 7.07 0.5…

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Q: Find concave upward and concave downward of 6x^2-x^3

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Q: Choose the correct answer for the following limit: Select one: Ο Α. 0 O B. Does not exist. OC. None…

A: According to question,Given Limit,Let l = limx, y→0, 0x3 + 6y25x3 + y2

Q: Evaluate: 12+3 2√x+3 ○1-3 ln (7/5) O2-3 ln(7/5) 2 O2+3 ln7 03-In()

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Q: Suppose your yearly demand for renting DVDs is Q = 20 − 4P.   If there is a rental club that charges…

A: NOTE: Refresh your page if you can't see any equations. . the demand function is where q=number of…

Q: a bush fire is burning a circular area whose radius is increasing at a rate of 3ft/min. how fast is…

A: A bush fire is burning a circular area whose radius is increasing at a rate of 3ft/min. its radius…

Q: The partial derivative of the function f(x, y) = 4x² – 3xy + 5y-e³+8y with respect to x is: Select…

A: To find out the partial derivative of the equation.

Q: Find the limit of the following sequence or determine that the sequence diverges. 2n² 1 6n² + 1 -…

A: Solve the following

Q: After successfully passing the Technical Written Examinations, you're now at the PRC Main Office ta…

A: Given: there are 5 registrations specialist on different windows faciltaiting registrations, the…

Q: The function w gives a person's weight t weeks after she begins a diet. Write a sentence of…

A: Since you have posted multipart questions. As per guidelines we"ll solve only first three parts.. If…

Q: Suppose that f is a differentiable function with f(2) = 5. If the tangent line to the graph of y =…

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Q: If f(x, y) = -x cos y, then fyx (1,0) = ? Select one: O -1 0 0 O-sin y 1 None of them

A: Given :fx, y=-x cosy

Q: Question a) b) 2xy Consider the function f(x, y) = 4x²+5²- Find the domain of f. Show that the limit…

A: To find out the domain

Q: Find the normal vector to the level curve f(x, y) = c at P. f(x, y) = 6 - 4x - 7y c = 6, P(0, 0)

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Q: if u=f(x,y), x=g(w) and y=h(w), using chain rule, what is ∂u/∂w?

A: Silution : Given that u = f(x,y)

Q: A road perpendicular to a highway leads to a farmhouse located a = 1.5 km away. An automobile…

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Q: Question 11 Find dy/dx of y = log₂ (x log5 x) In a alna ln 2 O y =

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Q: Given the system x + 3y = 10 2x - y = 6 a) Create the augmented matrix of the given system b) solve…

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Q: A square is increasing in area at a rate of 20 mm² each second. Calculate the rate of change of each…

A: topic- application of derivatives

Q: Evaluate the limit: lim, ∞ ○-6 00 ○ 6 e 10-00 최승

A: This question can be solved using the concept of L hopital's rule.

Q: The following limit Select one: O O equals 16 3 equals 0. None of them O does not exist. O equals 3…

A: This question is based on two variable limits.

Q: rface at the given point. mal line to the surface at the given point.

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Q: if g(x, y) = yln(x) - x²ln(2y + 1) then 9x (2,0) = 0 Select one: O True O False

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Q: Find the angle of inclination of the tangent plane to the surface at the given point. (Round your…

A: Find the angle of incidence of the tangent plane to the surface of the given point.