, when the temperature of the air is 290 Kelvin, a certain substance cools from 370 Kelvin to 330 K in 1 ninutes

Q: (x²+6y²)dx – 4xydy=0

A:

Q: If f(x, y) = (17x - y)3, then is given by: af dy (17x (17 – ) 13 - 18 (17x 13 - - 13 Y)2 – ) 18 (17x...

A:

Q: Application

A: We will find the area with the largest dimensions. 

Q: y = 2xy – x y = e*C + } In(2y – 1) = –x²+C Option 3 Option 2 In(2y + 1) = -a² + C O Option 4 O None ...

A:

Q: Determine whether the function f is continuous at x = c. If f is discontinuous at x = c, determine i...

A: Given query is to find that function is continuous or not at given point.

Q: representing all ellipses having its centers at the origin and transverse axis x. a " + (w/)*] + yw ...

A:

Q: 1. (x*+6y*)dx – 4xydy=0

A: The given DIFFERENTIAL EQUATIONS is x2+6y2dx-4xydy=0 ...................... (1) This is homogeneous ...

Q: 4. y = 5 cos 4x, 3rd derivative 5. y = 3 tan 3x, 2nd derivative %3D 5. y = 6 csc x, 2nd derivative

A:

Q: dy y(ln y – In x + 1) dx 1 C = -In None of the choices O Option 1 C = -ln C = -In Ontion ? Ontion 4 ...

A: We have to choose correct option.

Q: V9-4x2 The integral of the given function dx is x2 -19-4x2 а. 2x ArcsinA + C -V9-4x b. 2x - 2Arcsin ...

A:

Q: Hello, I am stuck on the problem. I was hoping for some help. Thank you. MacQuarie Island is a s...

A: MacQuarie Island is a small island about half-way between Antarctica and NewZealand. Between 2000 an...

Q: rectangular flower garden with an area of 390 m2 is surrounded by a grass border 1 m wide on two sid...

A:

Q: 3. 19 Find f(5x + 4)dx if f(x)dx = 2. 9.

A:

Q: The integral of the given function f cos?t sin5tdt is cos³t -cost-cos't + C b. – cos³t +?cosst +cos'...

A: Given: ∫cos2t sin5t dt

Q: If an open box is made from a tin sheet 9 in. square by cutting out identical squares from each corn...

A:

Q: Applications of Differential Equations A certain radioactive material is known to decay at a rate pr...

A:

Q: Of all rectangles with a perimeter of 32, which one has the maximum area? (Give the dimensions.) The...

A: To find the length and width of the rectangle that has perimeter of 32 with maximum possible area. L...

Q: 4 s cot?x csc'x dx CSC X

A:

Q: A rectangular bird sanctuary is being created with one side along a straight riverbank. The remainin...

A: Topic:- application of derivatives

Q: Solve the equation (3a^2+3m^2)da - 6amdm=0  What's the value of C

A:

Q: Consider the function 1 1- x4 Write a partial sum for the power series which represents this functio...

A:

Q: en the graph of the function and the x-axis over the given interval, using the prem of Calculus – 2 ...

A:

Q: 9. The radius of a circle is increasing at a rate of 3 centimeters per second. At a certain instant,...

A: We want to find the rate of change of area of the circle when r= 8 cm and the radius of the circle i...

Q: 14 Approximate (x - 5) dx using 4 rectangles. It is approximatiey. (If necessary, round to two decim...

A:

Q: Of all rectangles with area 25, which one has the minimum perimeter? Of all rectangles with area 25,...

A: We will find the dimensions with the minimum perimeter. 

Q: 5. In the given differential equation, eliminate the arbitrary constant. SHOW YOUR COMPLETE AND CLEA...

A:

Q: Use the alternative form of the dot product to find u · v. ||u|| = 35, ||v|| = 45, and the angle bet...

A:

Q: * One hundred fish are harvested each year. * One-third of the fish population is harvested annually...

A:

Q: 9. The velocity, in kilometers per hour, of a car as it beings to slow down is given by the equation...

A:

Q: Determine the limit of the sequence or show that the sequence diverges by using the appropriate Limi...

A: an=7n2+n+24n2-3limn→∞an=limn→∞7n2+n+24n2-3           =∞∞(indeterminate form)          =limn→∞n2(7+nn...

Q: Thankyouuu

A: We will find the differential equation of order 2.

Q: 552 – 4 I(x)= £2 + 1 |1 – 45| 12 – 1,000 f(x) = 5 4r2 – 6 1– 452 m(x)= |4s – 1| g(x)= -4 g3 – s2 + 4...

A:

Q: Recall that 0 represents the radian measure of the angle subtending the path Laura has traveled sinc...

A: Let's find. 

Q: What is the equation of the vertical asymptote of f(x) = tan x where 0 < x < n

A: First draw the graph and get the vertical asymptot.

Q: (3) An instructor wants to create a test that has true-false questions, multiple-choice questions, a...

A: Given: A test has true-false questions, multiple-choice questions and essay questions. Test have 35 ...

Q: 1. (x+6у?)dx - 4хydy-0

A: Given problem:- (x2 + 6y2 ) dx -  4xydy = 0  Solve the given differential equation

Q: The value of investments in the stock market change daily.  Suppose you buy a stock for $4,437.  It ...

A: percentage 

Q: k2020k Consider the series > ak = k!. k-1 k=1 a) What is ak+1? ak-1 aktl? b) What is ak ak-1/a ak+1 ...

A:

Q: y aln(a) – y = 0; y(2) = In(4)

A:

Q: 8) Find the cross product a x b and verify that it is orthogonal to both a and b. a = (1, 1, -1),  ...

A:

Q: (iv) Consider the arrangements in a line of all the letters of the word ISOLATION (a) Calculate how ...

A: Here, the given word is ISOLATION which has 2 Is and 2 Os.

Q: Determine the equation of the line that is tangent to y = elan"(2x) at x = 8

A:

Q: a(sin 2a+cos a sin 2a) lim 1-cos² a a→0

A:

Q: d 3) (2a)* = (Derivative of an exponential %3D function)

A:

Q: Assignment: Determine the derivative of the ff. functions. 1. y = 8x5 - 2021, 5th derivative

A:

Q: Use any test to determine whether the series is absolutely convergent, conditionally convergent, or ...

A:

Q: 1 du . Answer the following. 2t Suppose y(t) = [, 1 1+u?

A:

Q: Evaluate the definite integral. Use a graphing utility to verify your result. (9 u - 6 du

A: Given query is to eveluate the integral.

Q: Find the indefinite integral. (Use C for the constant of integration.) (5 cos x + 7 sin x) dx

A: ∫5cosx+7sinx dx∫5cosx dx+∫7sinx dx

Q: Solve the initial value problem y" – 6y' – 16y = 0, y(0) = a, y (0) = 8. Find a so that the solution...

A: