Find limit lim (x,y) -> (2,0)   ((Sqrt(2x-y)-2))/(2x-y-4)

Q: 2п +1 E. Σ Зп +2 Е. n=0

A: The given data is: ∑n=0∞2n+13n+2  Solve using the integral test.

Q: Write the equation for the linear function. A = {(x, y): (-4, 2)(-1. .) Oyr y= - 2 Oy= - + 1 y= 2 Oy...

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Q: Q.3\ The Maclaurin series for cos(2x) for every x is :

A: The Maclaurin series for cos(2x) for every x.

Q: 30 Choose the best answer: tan x + cot x =

A: Given

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A: we have of cheek and find answer

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A: Given: Newton's Law of Cooling: u(t) = T+(u0-T)ekt Where u(t): Temperature after time t T: Temperatu...

Q: 14. What is the first derivative of f (x) = (x²- 4)(3x - 2)? %3D a. 9x2- 4x – 12 С. 6х d. (x + 2)(x ...

A: first derivative of f(x) = (x2 -4)(3x-2) f(x) = 3x3 -2x2-12x +8 now df(x)/dx = 9x2 -4x -12 so answer...

Q: 2. Find the general solution of the differential equation e-ty'- y = 2e-t+e".

A: Differential equations

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Q: A right circular cylinder is inscribed in a cone with height h and base radius r. Find the largest p...

A: This question can be solved by the concept of maxima and minima.

Q: Determine the real number ? such that vectors a = 3i + 2j and b = 6i + ?j are orthogonal.

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Q: Evaluate the integral using integration by parts. 5x dx 5x dx =

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A: We are authorized to answer one question at a time, since you have not mentioned which question you ...

Q: 8. The following graph represents the displacement of an object, s(t). i. Sketch the velocity v(t), ...

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Q: - If y = (2x + 7)², then what is ? dx dy a. 2(2x + 7) dx = 2 %D b. dx 4x 8x + 28 dx e. If y = (2x2 -...

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

Q: Example 19: (a) If x +y = 25, find dy/dx. (b) Find an equation of the tangent to the circle x +y = 2...

A: As asked we can find the necessary answers as below 

Q: Use the difference an+1 – an to show that the given sequence {a,} is strictly increasing or strictly...

A: This question is related to infinite sequence, we solve it using given information.

Q: A function y(t) satisfies the differential equation dy =y4-5y3+ 6y2. dt (a) What are the constant so...

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Q: Q1 Choose only two: A) Solve the inequalities and show the solution sete B) Solve the equation: 18 –...

A: In this question we will use basic concepts of inequality. Solution of the above question is in the ...

Q: dy when (cos x) = (sin y)* dx A Find %3D

A: Note: - Since you have asked multiple question, we will solve the first question for you. If you wan...

Q: Write the inverse of h(x) = log6x h -1( x) = 6 x h -1( x) = 6 x h -1( x) = x 6

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Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it d...

A: ∫210   6dx/(x-4)2 [-6(x-4)-1 ]102 [-6/(x-4)]102 -6/(10-4) +6/(2-4) -6/6 +6/(-2) -1-3 ∫210   6dx/(x-4...

Q: Use logarithmic differentiation to find the derivative of the function. х — 5 y = x° + 5

A:

Q: x +1 at (2,3) is x- 1 The equation of the tangent to the curve g(x) = 1) y = -2 2) y = 3x - 3 3) 2x ...

A: To find the tangent to the curve

Q: (use Loug division) 2x'-3x+リメ+5 X+ 2 2×-3x+メ+5

A:

Q: A freshly brewed cup of coffee has temperature 95°C in a 20°C room. When its temperature is 65°C, it...

A: Given:    T (surroundings temp)= 20    T0 (initial temp)  = 95   Now      T = 65  dT/dt = 1

Q: Consider the function f(x, y) with level curves as shown below. At the point P are two vectors ū and...

A: Explained below 

Q: Match the following improper integral with the improper integral below in which you can compare usin...

A: Using P test. And follow step 2nd . 

Q: Q.3\ The Maclaurin series for cos(2x) for every x is:

A: In this question we have to find the Maclaurin series for cos(2x).

Q: piecewise

A: Please refer to the image below

Q: (2x-y²)² (x,y) + (0,0) Let f(x,y) = x²+y4 2, (x, y) = (0,0) Find the slope of the tangent line to th...

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Q: b) y = -2x2

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Q: Find the differential dx for the function: y=V4+5x at x 0 and dx 0.04. 0 5 O 0.08 O 0.05 O 0.8

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Q: 1 B. E 2n +1 2n +3 n=1

A: Solution of the above series is

Q: (use Loug division) | 2x'.3x² +Yx+5 +2 2X-3X +Y x +5

A: Given query is to perform long division.

Q: 87 1

A: Given query is to simplify the expression.

Q: 1 4 0, 9. %3D

A: Topic:- sequence and series

Q: Find the solution to the initial-value problem. y' = −8x tan(y), y(0) =  ? 2 y =

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Q: Given the function y = x* e* , find dty dx for x = -1. %3D

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Q: For f(x) = Vx ln x, find a). domain and f', b). the intervals on which f is increasing or decreasing...

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Q: (a) -2f(x) dx 1 6. (b) f(x) +h(x)] dx (c) [2f(x)- 3h(x)] dx 7 (d) f(x) dx 69 (e) f(x) dx (f) f[h(x)-...

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Q: 6. Use implicit differentiation to find dy dx x³ + xy-y3 = 7 %3D |

A: Answer: The solution is as given below :  

Q: C. log2(x + 5) = 2 – log2(x + 8) d. 139x = 16r-9 %3D

A: Here student ask only c and d part

Q: If the length of the hypotenuse of a right triangle is 10, find the length of the other sides when t...

A: The length of the hypotenuse of a right triangle is 10.

Q: se separation of variables to find the general solution. (Use C for the constant of integration.)  ...

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Q: Find the derivative of the vector function below r(x) = sin²(secx?)i +csc°(Vx² +1] 2 dd fil

A: Given: - The vector function is, r(x)=sin2(secx2) i+csc3x2+1j+8tan(x2) k To find: -The derivative of...

Q: Determine the absolute extreme values (maximum and minimum) of the function f(x)=Vx² -4x+13, for 0<x...

A: Topic:- application of derivatives

Q: Q1: Draw the projections of the points: A (8, 3), B (-5, 4.5), C (0, -3), D (6, -3), E (-5.5, -1), F...

A: Hello learner, we can answer first question as per the honor policy. Please resubmit other question ...

Q: Evaluate the following indefinite integral using a table of integrals. Use C for any constant of int...

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