Test the function z = z(x, y) for local maxima and minima and saddle points. Find the values of function at these points. z = x³ + y³ +6xy-3.

Q: Use algebraic manipulations and limit laws to evaluate the following: (a) Find limx→∞ √x + 9-√√x…

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Q: Evaluate the double integral over the given region R. R yx sin x dA R: -2sy≤2, 0≤x≤*

A: Given that:R:

Q: 2 0 7 -2 to

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: A gasoline-driven lawnmower has a blade that extends out 2.0 ft from its center. The tip of the…

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Q: 6. x³dx=

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Q: For the following vector v, find |lull, the unit vector with the same direction angle as v. v = -i +…

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Q: Using the contour map, answer the questions that follow. (a) Estimate fr and fy at point B. (b)…

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Q: Find dy/dx by implicit differentiation. Then find the slope of the graph at the given point. tan(5x…

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Q: Find the derivative of y = 5.20 - x². dy dx - J

A: The Sum/Difference Rule:The Power Rule:And

Q: (1) 2x+4y+ z = -4 (2) 4x-2y+z= 6 (3) 2x - 4y+ 6z=13

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Q: What is h' (a) when h(x) = arccsc(-3x)?

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Q: Solve the following system of equations: (1) 2x-y+z=3 (2) 3x-²y+z=0

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Q: Find the second derivative, Provide your answer below da²' where y is related to a implicitly by the…

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Q: Find dy/dx by implicit differentiation. x2 − 7 ln y + y2 = 11

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Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by…

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Q: Which angle below is a right angle? O 3π 2 5T 4 KIT O ST

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Q: Starting with the formula for the difference of cubes, which pair of steps can be used to show that…

A: Formula for a3-b3 = (a-b)(a2+b2+ab)

Q: Using the definition of derivative (limit of a difference quotient), compute the derivative of the…

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Q: f'(x) = Differentiate f(x) = log₂ (1x).

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Q: Consider the function h(x) = 24x5-160x³ +5. Differentiate h and use the derivative to determine each…

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Q: Determine the corresponding ordered pair of the point on the unit circle for the following angle:…

A: We need to find coordinates.

Q: Solve the following set of equations by graphing. y²=16-x² y=4 O (0,4) O (0, -4) y cloudy Ono…

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Q: A ball is thrown vertically upward from a height of 6 feet with an initial velocity of 80 ft/sec.…

A: Given: The height (in feet) of the ball at seconds is given by To Find: (d) the find the…

Q: Find the derivative of f(x) = x³ + 3ª. ƒ'(x) = K

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Q: Use the shell method to write and evaluate the definite integral that represents the volume of the…

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Q: A motorcyclist being monitored by radar accelerates at a constant rate from 0 mph (v(0) = 0) to 50…

A: Initial speed, Final speed, Time of travel, To determine: The distance traveled by the motorcyclist…

Q: a) The cost of first-class postage stamp was 6¢ in 1961 and 66¢ in 2010. This increase represents…

A: “Since you have posted multiple questions we will solve the first three subparts for you. To get the…

Q: A -7.5 -5 -2.5 2.5 0 -2.5 2,5 75 Microso

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Q: Determine the corresponding ordered pair of the point on the unit circle for the following angle:…

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Q: amount corporation borrow at 8% interest? (round your answer to the nearest cent) 184°F O $81,481.48…

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Q: 20

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Q: Question sin r What is the first derivative of y(x) = logs (7²+4x Sorry, that's incorrect. Try…

A: The given function is y(x)=log8[x4sinx/(7x2+4x) ]Differenciate the given function.

Q: Type the equation of the given graph in the form y = A sin Bx or y = A cos Bx.

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Q: Find O dy dx' Select the correct answer below: O dy dx dy dx dy da where y is defined as a function…

A: See this solution in below

Q: Find lu x v. |u x v| = |v|=7 60° |u|= 6 i Determine whether u x v is directed into the screen or out…

A: First, hold up your right hand and make sure it's not your left, Point your index finger in the…

Q: Let f(x)=x²-3x³ + 4x + 2. Find the open intervals on which f is concave up (down). Then determine…

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Q: You use 'INF' for ∞o and And use 'U' for the union symbol. Enter DNE if an answer does not exist.…

A: A function concave up on the interval at which the second derivative is positive.A function concave…

Q: Is your answer to question 3 the real solution or an extraneous solution? Explain how you know

A: The equation to find the volume isAnd the volume is

Q: - Find a formula for the function T(x, y, z) of three variables that gives the square of the…

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Q: Determine the corresponding ordered pair of the point on the unit circle for the following angle: ¹…

A: Given angle:

Q: Which angle below is a right angle? O T 4 O 37 2 57 57 4

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Q: 12. James is standing 90 feet from a nearby river. He sees a fire in the distance and quickly…

A: According to the figurethe width of the river the required distance to put out the blazing fire

Q: Find the volume of the parallelepiped with adjacent edges PQ, PR, PS. P(3, 0, 2), Q(-1, 2, 8), R(6,…

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Q: The amount of carbon-14 present in animal bones t years after the animal's death is given by P(t) =…

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Q: Use Hooke's Law to determine the work done by the variable force in the spring problem. Nine joules…

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Q: 365 287

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Q: The lapse rate is the rate at which the temperature decreases in the atmosphere with respect to…

A: Let  be a continuous function on  and differentiable on . Then there exist some  in such that.

Q: (x - 2)² + (y + 1)² < 16

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Q: Determine if the point (4,-5) lies on the line whose vector equation is [x,y] = [2,1] + t[-1,3]

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Q: Find the vector v with the given length and the same direction as u. ||v|| = 8, u = (1, 1)…

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