Show that the equation below is an inexact equation. Find the integrating factor in terms of t only and show that multiplying the inexact equation by the integrating factor turns it into an exact equation. Hence, then solve the exact equation. 4 (4t²y + 2ty + y³) + (t² + y²) dt

Q: As x → 5+, x² . and x2 – 25 - x2 So the x → 5+ x² lim 25 Therefore, the line x = is a vertical asymp...

A:

Q: We now use the substitution u = x° + 8x and du = (9x8 + 8) dx to convert the entire integral into on...

A: Given the integral  ∫9x8 + 8x9 + 8x2 dx We now use the substitution  u=x9+8x and du=9x8+8 dx.

Q: Find the arclength of y 3x + 4 on 0 < x < 1

A:

Q: Determine which of the vectors is (are) parallel to z. Use a graphing utility to confirm your result...

A: If z is parallel to a vector u then u =lemda z 

Q: Find the open intervals where the function f(x) = - 2x" + 12x + 167x - 2 is concave upward or concav...

A: Given problem Find the open intervals where the function f(x) = -2x³ + 12x² +167x-2 is concave upwar...

Q: (a) For what values of x is the following series convergent? 00 enx n=0 (b) Find the value of x that...

A:

Q: ue Q(t) = 2400e-0.05t where t is measured in years, answer the following questions. (a) What is the ...

A:

Q: Write a differential equation that models the given situation. The stated rate of change is with res...

A: Given the situation The rate of change of the radius r of the snowball is inversely proportional to...

Q: Given the equation y = cos(coshx)

A:

Q: (cos x+xcost)dt + (sin t-t sin x)dx = 0 Ans. t cos x+x sint = c

A:

Q: (a) Is ƒ one-to-one? (Answer "y" for yes or "n" for no below.) (b) Find ƒ¯(1). y 2 1 1 + -3 -2 2 3 -...

A: Given the graph of the function. With the help of this graph, we have to answer the following...

Q: Find for F(X,)= Sin xy+ T Y²-x = 0

A: Given query is to find the derivative of the expression.

Q: Calculate the fluid force on one side of the plate using the coordinate system shown below. Assume t...

A:

Q: Two entrances E and F to a gym are located 1 m away from a wall AB of length 4 m which is perpendicu...

A:

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 14j as ...

A: ANSWER IS GIVEN BELOW.

Q: alternative ax was created to prevent weälthy using creative deductions and shelters to avoid having...

A:

Q: Find the derivative of the following function. f(w) = 8w° + 5w* + 4w %3D f(w) =D

A: We can find the derivative as below

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

A:

Q: Evaluate each of the following: 1 1. ſ cot 2v dv 6. S tanzã sec*vã 2. S tan* dr 2 csc*ny 3. S(tan 5w...

A:

Q: piece of wire 26 m long is cut into two pieces. One piece is bent into a square and the other is ben...

A:

Q: As an orange grows, the rate of change of the radius r of the orange is inversely proportional to th...

A: Given query is to find differential equation.

Q: 4. It f(x,)= (x?+Zy^)+Z and ū= a.) Find the derivative of t in the direction Of ū at 13,2) -

A:

Q: Find the area of the triangle with vertices P(1, 4, –6), Q(0,0, 0) and R(3, 4, 1). NOTE: Enter the e...

A: topic - area of triangle

Q: Answer: 0 Evaluate sin(x+ y)dxdy.

A:

Q: Approximate the following integrals using the Trapezoidal rule. c0.25 (cos x)? dx b. x In(x+ 1) dx a...

A:

Q: wherey = x + C is a solution to this DE. What is the particular solution?

A: Let's find. 

Q: Find the mass and center of mass of the lamina that occupies the region D and has the given density ...

A: Points of intersection,y=4x and y=0(0,0)x+4y=1  and y=0(1, 0)y=4x and x+4y=1x+16x=117x=1x=117 → y=41...

Q: Let y 522 + 2x + 3. If Aæ = 0.4 at x = 3, use linear approximation to estimate Ay Ay =

A:

Q: A. Let R be the region inside the curve C:r = 1+ sin 8 and above the line e: r = 3/4 csc 0 a. Find t...

A: Note: There are multiple sub questions. No specific question has been asked. So, We will solve the f...

Q: 3. Graph the system of inequalities. y 2x-3 y>x+1

A:

Q: 2x2 Use the guidelines to sketch the curve y = - 1 A. The domain is {x | x? - 1 + 0} = {x | x * ±1} ...

A:

Q: DSHUN EDWARDS Question 3 of 7, Step 1 of 2 2/17 Correct The effectiveness of a certain medical injec...

A:

Q: - Is the given point a Solution to this graph? (-1,–2)

A:

Q: Evaluate the given iterated integral. Sketch the region of integration and rewrite the integral usin...

A: Integral

Q: Express the parametric y = 2 +9 in the Cartesian form y f(x). curve x = t + 6

A: This question can be solved by eliminating t from both the equation.

Q: A function f(x) and interval [a, b] are given. Check if Rolle's Theorem can be applied to f on [a, b...

A: To test whether Rolle's theorem is applicable or not.

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A:

Q: Find the derivative of the function. f(x) = 7x2 In(9x)

A: To find derivative of given function.

Q: y = Vx – 2, y = x – 2 %3D

A:

Q: For the function f(x) = 3x* - 2x -2x +7, find f"(x). Then find f"(0) and f'"(6). %3D E"(x) =D Select...

A: We can answer the questions as below.

Q: 38. At what value of x should the function f(x) = In(x – 4) approach to so that f(x) will be as smal...

A:

Q: 37. The sales of a certain merchandising company are on their bestselling item is being represented ...

A: Let's find. 

Q: 2 Part 2. Free-response Questions- Show all your work for each of the problems. (1) Find the exact v...

A:

Q: y = ² + 3 in the Cartesian form y t Express the parametric f(x). curve x t+7

A:

Q: Sketch the region bounded by the given curves, then find its area. y = x2 - 3x, y = x

A:

Q: Which of the following functions are solutions of the differential equation y' + 2xy = 14x? y = 7+7e...

A: Linear differential equation

Q: Sketch the region bounded by the given curves, then find its area. 2. x = y2, x = y +6

A:

Q: Find the area of the region under the graph of f(x)=2x2−4x+2 on [−2,3].

A: The area can be calculated using the concept of definite integral.

Q: Let f(x) = x and compute the Riemann sum of f over the interval [2,3], using the following number of...

A:

Q: a) Determine the second derivative of the following i) g(x) = - ii) h(x) = Vx³ + x – 1 %3D

A: We have to find the derivative of the given functions.   According to our guidelines we can solve on...