Which of the following statements must be true? 1. If f is differentiable, then II. If f is differentiable, then oll only O Neither I nor II O Both I and II ol only dx √f(x) = 2√f(x) 1/21 (√3)= f(x) dx 2√x

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A: We can find the value of the integral.

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A: Authoring guidelines: As per the authoring guidelines, we can solve only the first question. Please…

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A: We are asked to find the intersection point.

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A: To find out the given partial derivative.

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A: This question is based on application of derivative.

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A: The answer is option D

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A: Given the function,   fx,y=x4-y42x-2yif y≠xmif y=x

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A: Domain:- The set of all those points (x,y)  such that the function at those points exists.Range:-…

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A: Given problem:- At a given moment, a plane passes directly above a radar station at an altitude of 7…

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A: If A(3, 2, 9) and B(-4, 7, 2) are two points in 3-space, then find the vector AB.

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A: This question can be solved using the concept of domain and range of multivariable function.

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A: Our Aim is to evaluate the integral given below:-∫x2-12 dx -(i)

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A: Vertical asymptotes : It occurs where the denominator of a rational function approaches zero.

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A: The given differential equation is;  Cosx dx +(1+2/y Sinx) dy=0

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A: We have to find the the value of g'(0).

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A: This question is based on two variable limits.

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A: To use trigonometric substitution to evaluate the integral. ∫x38+x2dx

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Q: Find the following Wronskian: W(4, 3t, e-³¹, te-³1) O-972e-6t 0-972e6t 6 972e6t O 972e-6t 00 O-6

A: We can find the Wronskian .

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A: use the substitution method for solving the integral.

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A: NOTE: Refresh your page if you can't see any equations. . the given function is  and we want to…

Q: a) b) exist f(x, y) = x²yesy 8x²+7y² Find the domain of the function f. Show that lim f(x, y) does…

A: According to question,Given Function,fx, y = x2 y e5y8x4 + 7y2