If lim f(x) = ·∞ then which of the following is true?

Q: dx What is where dy' x³ + y³ = 3xyusing implicit differentiation?

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Q: X-2 lim = 2 a. By L'Hopital's Rule, x→² X²-1 1 1 lim = x→2 2x 4

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Q: 1) Find any relative(local) extrema and saddle points of f(x,y)=x+y^-4xy+1.

A: The given multi-variable function is f(x,y)=x^4+y^4-4xy+1

Q: Question 2 (a) Find the derivative of the function. x3 F(x) = sin(u²) du (b) Find the area of the…

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Q: (a) [In(4) - 2e¹³] dx d b) dx d (c) [2²² - 1 (2²)] = 4e³x In(x [sec (12r) + tan-¹(2x)]

A: NOTE: Refresh your page if you can't see any equations. .

Q: On the graph of the function f(x), shown below in blue, choose whether there are zero, one, or two…

A: Horizontal asymptote

Q: A large tank is partially filled with 100 gallons of fluid in which 30 pounds of salt is dissolved.…

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Q: The number of bacteria in a refrigerated food product is given by N(T) = 23T² – 96T + 12, 5 < T < 35…

A: The number of bacteria in a refrigerated food product is given by N(T) = 23T2-96T+12,  5&lt;T&lt;35…

Q: b. If F'(x) = f(x) then [f(x) dx = F(x) + C

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Q: -21 Give a general solution of the differential equation y"-2y'-8y = 3te ²¹.

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Q: Find the partial derivative of z with respect to x дz (2x−y) дх Н дz 2 О 0 = 3 - 1 " дх Т 2y 2y дz…

A: Just use the rule of partial derivative and find the required solution.Final solution is in the box.

Q: For the equation y I. Domain 2. Symmetry 3. Intercepts (if any) YA In (x-6)ex, find; =

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Q: Find the area of the triangle with the given vertices. (Hint: 1/2 ||u ✕ v|| is the area of the…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Suppose two positive real numbers a and b add to 120. Find the values of a and b that maximize the…

A: Given a+b=120 .....1

Q: What is the limit of 3x4 as x approaches ? 1 2 12 evaluated 2 3 16 0 1 16

A: Given problem:- limx→12 3x4

Q: Write an equation describing the relationship of the given variables. y varies inversely as the cube…

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Q: Create a question (using the Triangluar pyramid) related to vectors and then solve it. Don't make…

A: First we will frame a question and then solve it.

Q: Evaluate the integral. The integral from 0 to t of 9sin^2(x) dx  Then determine whether the…

A: A detailed solution is given below.

Q: Given w = xe¯ª + ln(x²yz³). Determine δω ?х ?w dx 2 = -xe tết xyz³ dw = xe¯* + 1 + 1²/12 8x dw…

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Q: What is the derivative of y = 8 cos x? -16 sin x -8 sin x 8 sin x 16 sin x

A: In this question, we need to find the derivative.

Q: An architect was commissioned to design a nuclear explosion resistant building in the shape of a…

A: The given dimenssions of ellipsoid area=25 mb=20mc=40 mthickness t = 1 m

Q: What is the derivative of y = sin (x³ sin (x³ – 3x)?

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Q: Problem 1. A rectangular enclosure is to be built next to a river. There will be no fence on the…

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Q: C. 1-3/5 (6x³+11x² - 4x) 18x² +22x-4) dx

A: We can solve this as follows:

Q: Suppose a person is going up in a hot air balloon. The surrounding air temperature in degrees…

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Q: A conical vessel is 12 m across the top and 15 m deep. If it contains water to a depth of 10 m, find…

A: We need to consider a section and then integrate accordingly.

Q: c - [ ²x² (1-√x ) ³dx Jo

A: To find out the integration.

Q: Find a general formula for f(n) f(x) = (x-2)-¹ (Use symbolic notation and fractions where needed.)…

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Q: Q3: Find the general solution for the following Deferential Equations using Variation of Parameters…

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Q: Solve the given initial-value problem. x(x + 1) dy + xy = 1, y(e) = 1 dx y(x) = Give the largest…

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Q: Given: f(x, y) = ln[1 + x siny] Find: g² f(x,y) 8x² 2 sin y (1+xsin y)² sin² (1+2 sin y)² 1+2 sin…

A: In this question, we need to find the second partial derivative of the given function.

Q: 3. | rV3 – adr -

A: We have to find out solutions

Q: please answer #2 #3 #4 find the transcendental curve sketching and the following a. symmetry b.…

A: Since we are given the multiple number of questions and answered according to the guidelines.

Q: Which of the following corresponds to the limx→4 (¹2) w when evaluated? 0 4 2

A: Here is the solution:

Q: What is the limx→5 5x + 2? 3 5 1 27 1 3

A: To evaluate: limx→5 5x+23 Let y = limx→5 5x+23 y = limx→5 5x+213

Q: Q2: Find the following limits sin3y cot5y 3. lim y-0 ycot4y

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Q: Calculate the differential equation dy dt and (i) Show and 3 y (π) 2 general solution + 3t² y = cost…

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Q: Evaluate: (e5x + x4) dx A. 5(e5x+x5) + C B. (e5x+x5)/5+C

A: answer is in next step

Q: 1. Solve the equation 6³x+1 = 22x-3 Leave your answer in exact form.

A: We have to find out x

Q: 3. f(x) = x-4 x+5

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Q: 2x³ is an antiderivative of what function? y = 6x² y = -6x² X y = y = - 2 X 2

A: 2x3 is an antiderivative of what function.

Q: 5 Sketch an angle 0 in standard position such that 0 has the least possible positive measure, and…

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Q: D Question 8 For the function y = (x - 2) Inx what are the two x intercepts, and between the two…

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Q: Question 2 Evaluate: Express your answer in three decimal places. limx→8 e-2 a-8

A: The objective is to evaluate the limit.

Q: Find the limo (cos x) = Show your complete solutions. No shortcuts.

A: Given,  limx→0cos x1x2

Q: If the graph of f has a horizontal tangent line at x = c and f" (c) is negative, which of the…

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Q: 8. 1 (1+x)√√x / dx

A: We have to find out integral

Q: Given: x In y + y2 z+z2 = 8 Find: ?х дz -y²-27 In y -In y y²+2z -(x+2y²z) y(y² +22) -yln y x+2y²z о…

A: The objective of the question is evaluate the partial derivative and choose the correct option.

Q: 9. Find the volume of the solid generated by revolving about the y-axis the region bounded by the…

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Q: Solve the differential equation d²y dx² - 7+12y = 12x² + 7x + 13.

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