In x4 lim

Q: Calculus Question

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Q: Find each limit f(x, y) = 3x + xy − 2y

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Q: Find the coordinate of the point which divided the join of PQ in the ratio 2:3 internally and extern...

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Q: A 34-ft ladder leans against a building so that the angle between the ground and the ladder is 78°. ...

A: In the figure, building is of blue color and ladder is of red color. y=34 ft and t=78 degrees We ha...

Q: Mass from density Find the mass of the following solid with the given density functions. Note that d...

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Q: Obtain the general solution to the equation. (3t + 4y + 2)dt – dy = 0 The general solution is y(t) =...

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Q: QUESTION 4 The average rate of change of a function over an interval is the same as the instantaneou...

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Q: Determine the absolute value of the complex number z = -1 - 2i.

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Q: Use the graph of the rational function in the figure shown to complete the statement.

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Q: Write an equation in point-slope form for the line passing through the points (-2, -1) and (-1, -6)....

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Q: Derivatives Evaluate the following derivatives.

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Q: Use the Chain Rule to find the derivative of w = xy with respect to t along the path x = cos t, y = ...

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Q: 5-please see attached

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Q: Mark each statment true or false. justify each answer.

A: We have given some statements, which we have to figure out if true of false and justify it;

Q: Evaluate the expression without using a calculator. If evaluation is not possible, state the reason,...

A: We will write 8 as an exponent of 2. and 25 as an exponent of 5  

Q: The point, P(8, −3), lies on the curve y = 3/(7 − x). (a) If Q is the point, (x, 3/(7 − x)), use you...

A: Since multiple subparts are there, we will solve the first 3 only. To get the solutions for the rest...

Q: g(x) = x/x - 1

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Q: Test r = 2sin θ for symmetry and then graph the polar equation.

A: Given  The polar equation r = 2sin θ.  

Q: Use the given conditions to write an equation for the line in point-slope form and slope-intercept f...

A: Now equation of the line in point-slope form is,

Q: A guy wire is 13.8 yards long and is attached from the ground to a pole 6.7 yards above the ground. ...

A: Given Data The length of wire attached from the ground is AB=13.8 yards. The point of wire attached ...

Q: Seven freshmen and five seniors form a committee.  The committee needs a group of three people to wo...

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Q: Please solve the screenshot, thanks!

A: Given function is Average value of f over the rectangle formula is Where A is the area of the regi...

Q: Find the equation of the line with the given description: Passes through (−1,12) and (42,19)

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Q: Find the first partial derivatives of the function. f(x, y) = x5y %3D Fx(X, y) = | 5yx5v–-1 fy(x, y)...

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Q: Brand Z annual sales are affected by the sales of related products X and Y as follows: Each $1 milli...

A: Given that, Initial value of z is $6. Each time x increases by $1, z decreases by $2.1 And each time...

Q: Find the midpoint of the line segment with the given endpoints : (-4, -7) and (-1, -3)

A: Given : Endpoints of a line segment : (-4,-7) and (-1,-3) To Find: Midpoint of the line segment Conc...

Q: Fermat's volume calculation (1636) Let R be the region bounded by the curve y = Vx + a (with a 7 0),...

A: Given  The equation of curve is  y=√(x+a)  with (a>0) To draw diagram 

Q: Find the area of the region thatlies inside the cardioid r = 1 + cos θand outside the circler = 1.

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Q: The bread dough in the bowl will expand due to action of yeast. You have been instructed to leave th...

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Q: 45-48. General first-order linear equations Consider the general first-order linear equation y' (t) ...

A: Here,

Q: Find the horizontal asymptotes of each function shown using limits at infinity.

A: Given 

Q: a b Note: Triangle may not be drawn to scale. Suppose c = 13 and A = 55 degrees. Find: a = B = degre...

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

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Q: Find the solution to ty' – y = r² e 0.09 ' satisfying y(1) = 0 and valid for all t> 0.

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Q: Find the volume of the solid generated by revolving the region bounded by the given lines and curves...

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Q: Suppose the inequality (x² – 4x + 3) < f (x) < cos ( TX *) holds for all values of x. 2 Find lim f( ...

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Q: Find the area of the region described in the following.    The region bounded by y = ex, y = 2e-x + ...

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Q: Give the slope and y-intercept of the line whose equation is given. Then graph the linear function.

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Q: Find the critical numbers of f, if any, (a) find the open intervals on which the function is increas...

A: Given Data The equation is f(x)=x²+6x+10.   (b) Differentiate the equation with respect to x and equ...

Q: Obtain the general solution to the equation. dx Ydy + 2x = 9y* The general solution is x(y) = ignori...

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Q: Evaluate the integral. (Use C for the constant of integration.)   intergral x cos(2x) dx

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Q: I don’t understand anything plz help

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Q: Factor: x2 + 3x - 18.

A: Here given expression   

Q: 8-please see attached

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.