Let f(x, y) = 3x² - 2x + 8y + 5y² - xy List the critical point: The critical point is a Select an answer

Q: Find the first partial derivatives of the following function. s+ 3t s-t f(s,t)=-

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Q: We have determined that A = 36 and B = -6. Therefore, we have the following. A 6x + 1 30 (6x + 1)(x…

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Q: 6. The function f(x) is defined by the graph. State the value of each: c) lim f(x) = x →-1 d) f(4) =

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Q: Let R be the region bounded to the right by the graph of x = cos (9y)+6 , to the left by the y-axis,…

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Q: Calculate the definite integral by referring to the figure with the indicated areas. 0 0 ff(x)dx…

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Q: By considering different paths of approach, show that the function below has no limit as…

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Q: Suppose that f(2)=-4, g(2) = 3, f'(2) = -1, and g'(2) = 5. Find h'(2). (a) h(x) = 3f(x) 2g(x) h'(2)…

A: Given that  and .To find the derivative value of .Derivative formula:

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Q: For the following lines: L₁: x =− 3 + 3t, y =− 1 + 4t and L²: *3º = ³-2. a) Determine the point of…

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Q: -f=-9i+40j Find: -9f

A: Given vector: To find :

Q: dQ Let Q(t) denote the population of a certain country at time t. In 1970, the population was 2.5…

A: The first situation is represented as, (where growth factor=1.018 and growth factor=1+r, here r is…

Q: Use the Chain Rule to find dt where z = x cos y, x=t, and y = 6t²

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Q: 4. Show that 2y"-y'-y=0 when y=e* + e.

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Q: Express the function F in the form f o g. F(x)=√x + 6

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Q: List the points in the graph in the interval -2<x< 8 at which the function is not differentiable. -2…

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Q: 5. Which equation can be solved by referencing the graph below? -1/2 -11/4 3 cosx – 1 = sinx O…

A: The range of both cosine and sine function is .The value of the sine function is zero for all…

Q: Determine the speed of a particle with a given trajectory at a time to (in units of meters and…

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Q: It is theorized that a particular culture of bacteria increases according to the model P(t) =…

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Q: how do i do this problem ? find the real roots of cos(x) = x3

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Q: Evaluate the double integral J₂62 6xy dA, where D is the triangular region with vertices (0, 0), (1,…

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Q: Evaluate the following: To evaluate the limit of the expression lim(x,y) →(0,0) (xy + 1)/(x^2 + y^2…

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Q: 9. Evaluate f (2x − y)dA; D is bounded by the circle with center the origin and radius 2.

A: We have to evaluate  where D is bounded by the circle with center the origin and radius 2.

Q: Use the pair of functions f(x): = x² + 5, f(g(x)) = g(f(x)) = to find (g(x)) and g(f(x)). Simplify…

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Q: The statement 972 92=27 0/=log, 27 3 1027= log²/1 O9-108272 O 27=log, 9 translates into which of the…

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Q: Using the method of cylindrical shells, identify the volume of the solid of revolution obtained by…

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Q: The per capita growth rate of a population of cells varies over the course of a day. Assume that…

A: The per capita growth of a population of cells varies over the course of a day. Assume that time  is…

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A: given

Q: A particle moves along a coordinate axis. Its position at time t is given by p(t) = -t³ + 2t² - t -…

A: Solution-The position function is given by,We know velocity function is given by,

Q: Assume that F(x,y,z(x,y)) = 0 implicitly defines z as a differentiable function of x and y. The…

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Q: 8. Determine the derivative of f(x) = x² - 6x using the limit definition of the derivative.

A: f(x)=x2-6xFind the derivative using the definition of the derivative. Repost the next questions.

Q: sketch and find the area of the plane region bounded by the gi x = y², x = 2y²-y-2

A: x=y2 , x=2y2-y-2

Q: A well stirred tank originally contains 100 gal of fresh water. Then brine containing 1/4 lb of salt…

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Q: Find the first partial derivatives for f(x,y) = 3x cos (xy). =0

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Q: Compute the following integrals. b) √m² sin (√x) √x dx

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Q: Find the derivative of y = ln (5 cos¹0) O-4 tan 0 -4 cos³0 sin ○ 20 cos³0 O-4 cos²0

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Q: 3. Differentiate and simplify in fully factored form. a) f(x) = (1+x²2) 3 b) y = (3x² + 4)²(3 + x³)5

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Q: If you were given a conic section in general form, how would you determine what type of conic…

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Q: The weekly demand function for video game consoles is given by p=d(x) = 650 - 4x² where x is the…

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Q: Compute the surface area of the solid of revolution formed by rotating the bounded region formed…

A: To compute the surface area of the solid of revolution formed by rotating the bounded region formed…

Q: Find the derivative of y = (cos x)* y' - -x sin x y! = COS X + In (cos x)| (cos x)* y' = x(cos x)x−¹…

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Q: 9. Given f(x) = x³ - 5x and its derivative f'(x) = 3x² - 5, find the equation of the tangent line to…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: The Cobb-Douglas Production function for a certain company is given by P(L,K)= 1400L ^0.7 K^0.3…

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Q: Use the graph off to state the value of each statement if it exists. y = f(x)

A: The function of f(x) is given.As per guidelines, At a time only three sub-parts of a question can be…

Q: Suppose lim f(x) = = x→2 1/2 4 -5, find lim x→2 x²| ƒ(x) + 6 x - 1

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Q: 1. Use the graph off to state the value of each statement if it exists. a. lim f(x) C. X→-1- b. lim…

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Q: 27. cos5 x sin³ x 3 si dx

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Q: Find the Jacobian of the transformation a -3u+7v, yu²+ 4v

A: To find the Jacobin of the following transformation.

Q: 8. Determine the equation of the tangent line to the curve y = -x² − 3x + 4 at x = 2.

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Q: Consider the integral integrals: 3 -y ³³ f(x, y)dady. If we change the order of integration we…

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