Using drawings and detailed explanations for each, explain the three conditions for continuity at a point.

Q: 10. y(2x3 -x?y + y³)dx - x(2x³ + y³ )dy = 0

A:

Q: Let f(x) = |r|. The derivative of f at a = 0: Question 1. a) Equals to +1 b) There are infinite poss...

A:

Q: A plane flying horizontally at an altitude of 1 mi and a speed of 540 mi/h passes directly over a ra...

A: Solved below

Q: Obtain the solution of the following differential equations. 4. y′ =x2+y2/xy

A: Since you posted multiple question in this question which are not interlinked so  have solved first ...

Q: Consider the equation z = x² + y. (a) Describe the traces of the equation parallel to the xz-plane, ...

A:

Q: Given that lim f(x) = - 2 and lim g(x) = 3, find the following limit. X3 X-3 lim [7f(x) + g(x)] X-3 ...

A:

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

A:

Q: For which value(s) of a and b is y = abx an increasing function? How do I solve this without using a...

A:

Q: Find the equation of the tangent line to the graph of f(x) = (4x – x2)(4 – x - x2) at x = 1. y =

A:

Q: the temperature (in F) at point (x,y)(measured in miles) is given by  T(x,y)=80-x4 +2x2 y-y2 How f...

A:

Q: Using the methods of shells find the volume of revolution formed by revolving around the x-axis the ...

A:

Q: \8 9 (3 2 1 5. Find the co-factor A21 of the matrix 0 -1 \2 2 2 6. Find the co-factor matrix of -1 (...

A:

Q: 1. Each situation relates a quantity and a price. Calculate the two different unit rates associated ...

A: Use unitary method.

Q: A particle moves along a straight line and has acceleration given by s(1) = 41 +3. Its initial veloc...

A:

Q: The cost of certain piece of machinery is $700 and its value is depreciating with time according to ...

A:

Q: (3 (-6 7/ 3 3. If A = -2 2). B =G ) and C =(,"). Find AA™BC. 4 -2. 4 2 (2 3 4 4. Find the co-factor ...

A:

Q: TC 12) csc 4 5T 14) cos 5T 16) cos 18) cos 7TC 20) csc 4. 4- 4-

A: 12) Given:           cscπ4         =1sinπ4 using the following trivial identity: sinπ4=12          =...

Q: Obtain a family of solution a. (x -y ln y + y ln x)dx + x(ln y - ln x)dy = 0

A:

Q: If convergent evaluate

A: Given, ∫-232x4dx

Q: Find an equation of the circle that has P (1, 4) and Q (–2, 7) as the endpoints of a diameter.

A:

Q: x- 3 lim X3 x2 - 2x – 3 5.

A:

Q: S3cos³x - 1- sin?x To evaluate (x, the integrand can be transformed to A S(3cos?x + csc?x) dx B) 8 3...

A: The given integral,        ∫3cos3x-11-sin2xdx

Q: Find the derivative of the function. h(t) = Part 1 of 5 Apply the general power rule which states th...

A:

Q: 2 91 If A = 1+y 4 0 and B = 5 3 31 [0 2 91 40 find the values of x, y. l2 3 3] x2 2

A: We have to find X , Y values  

Q: Зех-5 Find the lim and lim of: —5ех—1 X→-00

A: We have to find out 

Q: ft ft when the brakes are applied. A bus travelling at 66 along a straight, level road decelerates a...

A: This question can be solved by applying the equation of motion.

Q: 20. 7 (xx + y), x= st, y=st s= 1, t = 1 %3D %3D

A:

Q: The following chart shows student population in a certain elementary school over a 5 year period. Ye...

A: Given: The following chart shows stodent population in  a certain elementary school  over a 5 year p...

Q: If [ s( ) d0 = –sin20 + C , then f (0) =-cos20. 2

A:

Q: Find the value of 'n' that satisfies the equation: „C, =, C, the correct value of n)

A: We will find the value of n as shown below

Q: raphs of x=f(y)=y(11−2y) and x=0 enclose a region in the first quadrant. Rotating that region about ...

A:

Q: Determine whether the integral is converget or divergent. If it is ca (x-4)3/2 The integral is (conv...

A:

Q: You fill a box with 6 more apples than pears. Create an equation that represents the number of fruit...

A:

Q: 49 -dx Find the antiderivative of 7* + C 2 In 7 A 7* + C In 7 (B 2 In 7 + C In 7 + C 7* D

A: topic - indefinite integral

Q: Suppose that a particle moves along a straight line with velocity defined by v(t) =2t2 -t - 3, where...

A:

Q: You have a wire that is 86 cm long. You wish to cut it into two pieces. One piece will be bent into ...

A: We need to find length of wire that will be bent into square.

Q: (2x - 5) 2 What should be the rewrite of the integrand of -dx so that the resulting integral is inte...

A:

Q: Determine the solution to the initial value differential equation y' = 0.0012 y (2900 – y) , y(0) = ...

A:

Q: Find an equation of a plane containing the three points (-5, 4, 3), (-6, 1, 6), (-6, 2, 8) in which ...

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: The cost function for production of a commodity is C(x) = 386 + 29x - 0.07x2 + 0.0005x. (a) Find C'(...

A:

Q: 2. Consider the infinite series 12 12 12 12 12

A:

Q: The limit of a constant is equal to the constant itself regardless of any value of x nearer to a num...

A:

Q: 7. (1+x*)dy + x(1+ 4y®)dx =0

A:

Q: Activity 4: Determine whether the left-hand side of the equation is equal to its right hand side. Wr...

A: 3) PANIS  

Q: The function f(x) = 2/(x-5) is continuous on the interval (0, 5). Select one: O True O False The fun...

A: Answer: false

Q: coefficients type and homogeneity. State the independent variables ar 1. ý + P(x)y = Q(x), %3D 2. 44...

A:

Q: 8. fx,y) = sinx cos y

A:

Q: Find the derivative of f(x) = sin (x) and find an equation of the tangent line to the curve f(x) at ...

A: We have to find f'(x) and tangent line.

Q: Q: A Fraction becomes 4/5. If 1 is added to both numerator and denominator.If, However 5 subracted f...

A: Solution : Given that if we add 1 in denominator and numerator of a fraction we will got the new fr...

Q: ´In²sinx In the expression dx , the integrand is tanx

A: