if lim f(x, y) = f(0, 0) then (x,y) →(0,0)* f(x, y) is continuous at (0, 0) Ignore "Give your reasons" below. There is no need to give a reason. Select one: O True O False

Q: 3. INSTRUCTIONS: Differentiate the following func- tions (respect to x) using any method. (a) f(x) =…

A: (a).The given function is:f(x)=x2+2x4-3x2+1

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A: We have to find value of f(1).

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A: To find inverse Laplace transform.

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A:

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A:

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A: As per the rules we are supposed to answer the first question and rest others can be reposted.

Q: Evaluate Definite Integral 2. 1 2 5x³(2x + 1) ªdx

A:

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A: The spherical to cartesian coordinate relation is given by: x=ρsin φcos θy=ρsin φsin θz=ρcos φ

Q: 4. Assume that f and g are differentiable functions for which the following is known. O ƒ(0) = 1,…

A:

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A: We have to write the partial fraction decomposition of the rational expression xx2-x-30.

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A: Let's find total cell count after 3 hours.

Q: -1 Find the domain and the range of g(x) = sin-¹(3x + 1). Domain: Range: << ≤ y ≤ <

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

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A: We need to write down that the given statement is true or false.

Q: If √√√x + √√y: = 6 and y(25) = 1, find y' (25) by implicit differentiation.

A: If x+y=6 and y25=1, then to find y'25 by implicit differentiation.

Q: In the same problem, can you review D?

A: NOTE: Refresh your page if you can't see any equations. . the answer for Part(a) is partially…

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A:

Q: dr Let A be the area of a circle with radius r. If dt Question Help: Video Message instructor Submit…

A:

Q: A function for which the derivative is ft)-at is F)=2. That is, 21 is an antiderivative of st.…

A: We have to find out solution

Q: solution is incorrect

A: We have to differentiate the series represented by the function fx=32-x6 term-by-term to find the…

Q: 256√√3 4-52.4 4√√2 3 - ANZ 20

A: Topic:- application of integration

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A: Given A cylinder shaped can needs to be constructed to hold 450 cubic centimeters of soup. The…

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A:

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Q: RANSCRIBE THE FOLLOWING TEXT IN DIGITAL FORMAT

A: TRANSCRIBE THE FOLLOWING TEXT

Q: Use an appropriate shift or differentiation property to calculate the Laplace Transform of f(t) = t²…

A:

Q: If f(x)= square root x​,find f′(3).

A: Given  f(x) = square root x        = √x        = x^(1/2)

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A: The given equation is x2+xy-y2=4 We have to find the derivative dydx.

Q: Find the local maximum and minimum values of f using both the first and second derivative tests.…

A:

Q: Find the extreme values of f(x,y) = y2 - x2

A: we can find extreme values.

Q: b=? The following equation is exact if (bxy²+4)dy=(7x-4y³) dx O 12 O-12 04 O None of the others -4

A:

Q: The differential equation [In(4y) + 6x³]dx + (x + yº)dy = 0 4y is exact. Select one: O True O False

A: Solution : Given that

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A: Given query is to find indicated derivative.

Q: Find the volume of the solid whose base is the semicircle y = √1 - x² where -1 ≤ x ≤ 1, and the…

A: To find:- Volume of solid whose base is the semicircle y=1-x2 where -1≤x≤1and the cross sections…

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A:

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Q: 2) Evaluate 21 S.SI xy + y" dy dx

A:

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A: Topic = Derivative

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Q: (a) Complete the square by writing 2 - 12x - 19 in the form (x-h)2 + k. Note: the numbers h and k…

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Q: 21. y =(x-3)√x

A:

Q: 1. INSTRUCTIONS: Differentiate the following func- tions (respect to a) using any method. (a) f(x) =…

A:

Q: Suppose Find the value of f(82). f(82) = dx f(x) = 10, f(0) = 22.

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

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A: we need to find out the intercepts, critical points, point of inflection, etc.

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Q: 4. [ sin* r cos* adr

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A:

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT y Ü ₂¹ ♥ ❤ II. Calculate the following limits. 4-√√x² +7 3x+9…

A: We have to evaluate the limits.