Compute Ss(-y+ ye®y)dx + (x + xe™y)dy, where S is the path: start at (0,0) and then go right 5 units, then up five units, then left 5 units, and then down 5 units. (counter-clockwise square.)

Q: Perform the indicated computations. Write the answer in scientific notation. If necessary, round the...

A: Given, (5.1 x 10-8)(3 x 10-4) We have to answer in answer in scientific notation.

Q: World Population  The total world population is forecast to be P(t) = 0.00075t3 − 0.0716t2 + 0.99t +...

A:

Q: Use the limit process to find the area of the region bounded by the graph of the function and the x-...

A:

Q: Evaluate the line integral ∫Cx2yds along the segment of the line y=x from the origin up to the point...

A:

Q: Use a graphing utility to graph the function. Use the graph to determine whether it is possible for ...

A:

Q: Please do not evaluate the integral.

A:

Q: Find x?e**dx Sx²

A:

Q: Evaluate the definite integral. r1/16 sin-1(8x) dx Jo V1- 64x2

A:

Q: A hawk flying at 11 m/s at an altitude of 132 m accidentally drops its prey. The parabolic trajector...

A:

Q: Draw the curve given by the parametric equationsx=t3+t2−t,y=t3+2t2−4t.

A:

Q: Use the more convenient order to evaluate the integral over the plane region R

A:

Q: fr? sin (1/x), x 0. Find (a) lim, 0+ f(x) and (b) lim, 0 f(x); then use limit defini- tions to veri...

A: Given

Q: 4x Find dx 5 + 2x2

A:

Q: Find the length of the arc of the parabola y sq = x from  ( 0, 0 )  to ( 1,1)

A:

Q: Suppose in 2020 you have $13800 in an account earning 0.8% annually. How much money will you have in...

A:

Q: Find the first six terms and the sixth partial sum of the sequence whose nth term is an = 6n² – n. a...

A:

Q: For the following function, find the full power series centered at x = 0 and then give the first 5 n...

A: The Taylor series of a function is an infinite expansion about a point. Taylor series expansion of f...

Q: In a certain city the temperature (in F) t hours after 9 AM was modeled by the function T(E) = 44 + ...

A:

Q: Find dy dx given (х* + 3x — 1)° /1 – 3x³ y , by using property of logarithms.

A:

Q: Simplify:a. √75    b. √5x . √10x.

A: Rewrite the given expression and factorize 75. Use the following basic properties of exponent for si...

Q: I want an answer of question number 2.

A: 2. Given that:Force = mg = 1600 poundsTo calculate work W required raising the elevator from ground ...

Q: Find the length and width of a rectangle that has the given perimeter and a maximum area. Perimeter:...

A:

Q: Find an equation describing the line passing through the point Po(1, 2, 4) in the direction v (5,-3,...

A:

Q: Sketch the polar curve r = sin? 0.

A: We have given a curve; We have to plot the polar curve on;

Q: An arithmetic sequence begins 2, 6, 10, 14, 18, . ... (a) Find the common difference d for this sequ...

A: Given arithmetic sequence is

Q: on the interval [4,16]

A:

Q: Find the derivatives of the function r = (csc θ + cot θ)-1

A:

Q: 2. Determine the equation of the conics shown below

A: Given conic is a hyperbola. From the figure, the center of the hyperbola is (h, k) = (-3, 2), vertic...

Q: Let R be the region that lies between the curves y = x m and y = x n  , 0<=x <=1 , where m and...

A: The graph of the region is as below:

Q: find the general solution to the given Euler equation. 1.x2y′′ + 6xy′ + 4y = 0 2. x2y′′ - xy′ + 2y =...

A: The given Euler's equations are 1. x2y''+ 6xy′ + 4y = 0 2. x2 y''- xy′ + 2y = 0 3. x 2 y′′ + 7xy′ + ...

Q: Find the limits. Are the functions continuous at the point being approached?

A:

Q: Evaluate the integral sin'7 x cos x dx

A:

Q: Use partial fractions, completing the square, and/or integration tables to find the following defini...

A:

Q: For which positive numbers a is it true that a" > 1 + x for all x?

A:

Q: Find two positive numbers that satisfy the given requirements. The product is 147 and the sum of the...

A: Let x and y be the required numbers. Now given that the product is 147. That is,

Q: The measures of two angles in standard position are given. Determine whether the angles are cotermin...

A:

Q: evaluate the integral.

A: Consider the given integral  Find the integral separately. Use the by-part rule of integration wit...

Q: Scalar line integrals Evaluate the following line integral along the curve C.

A:

Q: The population P (in thousands) of a country can be modeled by    P = -14.73t2+788.5t +117212 Determ...

A: Given Data The equation of the population of a country is P=-14.37t²+788.5t+117212.   Differentiate ...

Q: Find the limits

A: Given expression is,

Q: A television camera is positioned 4000 ft from the base ofa rocket launching pad. The angle of eleva...

A: Given Data The distance of the television camera from the base of a rocket launching pad is a=4000 f...

Q: Use Part 1 of the Fundamental Theorem of Calculus tofind the derivative of the function.

A: Here given function 

Q: Find the derivative of the function. y = (3x+1)(x*-6)s O a. y' = 9(3x+1)2(x+-6)°+32x(3x+1}³(x4-6) а....

A:

Q: differentiate the equation

A:

Q: Obtain the Taylor series for f(x) =3x2−6x+5 about the point x=1.

A:

Q: Find the area of the region enclosed by the line y = 2x + 4 and the parabola y = 4 - x2 in the xy-pl...

A: The diagrammatic representation of the area is,

Q: y' + 2y = 1 + e−x, y(0) = −4

A: This is the first-order differential equation; it is in the form of Therefore, Then find integrati...

Q: Given the linear approximation at a=0, determine the smallest value x of such that the linear approx...

A: the linear approximation of f(x) at a is :                                                          ...

Q: Find the sum. (a) 23 29 310 S = (b) 1+z +* 23/2

A: