Agree. then lim f(x) does not exist. Disagree 3. If f(a) is undefined, Justify:

Q: 1. A function f(x, y) is homogeneous of degree 7 in x and y if and only if, , 5x -2y' 2. The functio...

A:

Q: Determine the derivative of y (x) = ( 3 x² + 11 x + 4 )³ e-6 x with respect to x. y '(x) =

A: topic - derivative of a function

Q: Consider the following. f(x) = x* + 3 Find f'(x). f'(x) = Find the value of dy when x = -4 and dx = ...

A: f(x)= x4+3  Find 1) dy/dx  2) dy when x= -4 and dx= -0.01  3) ∆y when x= -4 and ∆x=-0.01 

Q: Solve the homogenous differential equation.

A:

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A: Note that:- Domain of cot(x) is R-{nπ , n∈Z}  Where is R is set of all real numbers and Z is set of ...

Q: 1. Estimate the limit of the signum function s(x) as x approaches zero from the right. (-1, x0

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Q: Evaluate the integral of the following 1. 6x° .5 182? + 7 dæ

A: Topic:- integration

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A:

Q: Find the Laplace of the following functions and simplify the result.

A: Given that:                             

Q: Section 2.2 p. 150/152 # 58 58 Derive the formula for the volume of a sphere using the slicing metho...

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Q: 1. A function f(x, y) is homogeneous of degree 7 in x and y if and only if , 2. The function f(x, y)...

A: Topic:- calculus

Q: Find an equation of the tangent line to the curve 2(x² + y)² = 25(x² – y²) (a lemniscate) at the poi...

A: Given that 2x2+y22=25x2-y2To find : equation of tangent line at point 3,1Solution :2x2+y22=25x2-y22×...

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A: This is a problem related to sequence and series part. based on the general formula available for ge...

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A: Given that: Magnitude of v, ||v||=43 and angle, ∅=90°.

Q: Find the equation of the line tangent to the graph of f(x)= (In x)2 at x= 3. y%3D (Type your answer ...

A:

Q: 1 A water tank has the shape obtained by rotating the parabola y equals x squared about the y-axis, ...

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Q: regions between the given curve and y= 1 ,y=1, and y=4 1+y 134 X= 2

A: Given: - The curve is, x=11+y2, y=1 and y=4 and y=0 around the x-axis. To find: -The volume generate...

Q: f (t) = 2 (sinh t) (sint)

A: The given function is: f(t)=2sinh(t) sin(t)

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Q: 4922 – 75x – 19 – 4x Find the limit, if it exists: (Do not use L'Hospital's rule) lim x-00 86x + 7 N...

A: Here we have to find the limit.

Q: If y=3(−7x^2+7x+1)^13, then      dy/dx=

A: Given:- y= 3(-7x2+7x+1)13 To find :- dy/dx

Q: y°dx-(xy + y° \dy = 0 Let the substitution v=2; y=Vx; dy=vdx+ xdv

A: y2dx=xy+y2dy

Q: . Using inclusion-exclusion find the number of ways to put 9 pairs of people in a ne of 18 so that n...

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Q: Alden found a partially completed 5-D table: 6. Define Do Decide Target 74 Trial 1: 15 2(15) = 30 15...

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Q: Match each graph to its corresponding function. 1. f(x) = Væ graph in blue 2. g(x) = Vx – 2 graph in...

A: Answer: The solution is as given below : 

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Q: Determine the standard equation of the parabola opening upward, with focus at (0,6) and whose length...

A:

Q: Use the information to answer the question. A student was given x - 1 when x <2 f(x) = 3x when x22 T...

A: Given that: f(x)=x2-1 when x&lt;23x       when x≥2

Q: Question Evaluate the following limit using L'Hospital's rule. 1 3 lim z-0 1lez – 11 33x Provide an ...

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Q: What have you learned in evaluating integrals?

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Q: sin² 3y 5. ye 3^cot3t

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Q: 57 37 Convert the point (p, 0, 4) = ( 5, 3 to Cartesian coordinates. Give answers 4 - as decimals to...

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Q: Find the distance between the point (3,-3,6) and the line X= 2+4t y=-4t z=-1+5t

A:

Q: Use the Integral Test to determine whether the infinite series is convergent. 16ne-n? n=6 Fill in th...

A: ∑n=6∞16ne-n2

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A: Given integral is  ∫eax·sinhax dx To evaluate the value of given integration, we will use the    sin...

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Q: 2. x'dy+(2xy-y'dr = 0 Let the substitution y=2; y= vx, dy=vdx+ xdv

A: x2dy+2xy-y2dx=0

Q: (cos x - sinx +1) sin x cos x dx

A: You can solve this question by substitution method.

Q: nd [(dy)/(dx)] if the curve is defined by 7 x? e7y + 6 y² e² x

A: We are asked to find the derivative 

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A:

Q: 8x sin x y" + 4y/ + 5y = 8x sin x 1. ollowing econd ifferential equation:

A: The given differential equation is:y''+4y'+5y=8xsinx

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A:

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A: Marginal Revenue(M.R) is defined as the derivative of revenue function               M.R = d/dq[R(q)...

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A: Given :

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A:

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Q: and horizontal lines), without performing the integration. (c) Write down the integrals with their l...

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Q: 2/3 " tan'x sec'x dx X.

A: Solving the problem by doing the definite integral.

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A: We have to find derivative