the

Q: Find a solution for the DE subject to the indicated initial condition: dy dx + P(x)y= x, y(0) = 1, y...

A:

Q: 9. The GDP of a developing country is described by the function: G(t) = -0.2t³ + 2.4t2 + 60, 0st<8 w...

A:

Q: Find the slope of the line tagent to the curve of y = In x/x at point (1,0)

A:

Q: . Use integration, Direct Comparison Test or the Limit Comparison test to test for convergence Vx +1

A:

Q: Find the general solution of the following differential equation.

A: Here the differential equation is homogeneous so only complementary function is the final solution.

Q: Evaluate /y ds, C': ¤ = t², y = t, - 2 <t< 4 %3D

A:

Q: Suppose we are given the information that m (x) = arcsin(x) + . Which of the following is correct? O...

A:

Q: State the domain and range for the function f(x)=2x^2 - 7.

A:

Q: L Let f (x) = where a > 0, b > 0, and L > 0 are constants. 1+a e 5 L The graph of y = has this shape...

A: =&gt;y=L/1+ae-x/b

Q: A radioactive substance decays exponentially. A scientist begins with 190 milligrams of a radioactiv...

A: NOTE: Refresh your page if you can't see any equations. . the initial amount is a=190 mg after t=35 ...

Q: A cylinder shaped can needs to be constructed to hold 350 cubic centimeters of soup. The material fo...

A: Given : Volume of cylinder shaped can = 350 cubic centimetre

Q: 2. Given the integral: e"/x dx; n = 8 d) Use the Trapezoidal rule to approximate the integral using ...

A: To evaluate the integral ∫e1xdx,...(1) n=8 Here, ∆x=3-18=28=14 And, the interval [1,3] can be divide...

Q: 225 ft A building that is 225 feet tall casts a shadow of various lengths as the day goes by. An ang...

A:

Q: Find two numbers whose sum is 12 and whose product is a maximum. ..... The two numbers are (Simplify...

A:

Q: 52. ADVERTISING Jingfei is the marketing manager for a major firm. She estimates that t days after t...

A:

Q: Solve : 2a?t – 2a³)dt + (4x³ – 6²t + 2xt²)dx = -

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Find y". y = 2 cot 4 csc2 csc cot 4 금 csc2 cot 81 9. csc2 -4 csc

A:

Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the pa...

A: The solution are next step is

Q: We consider the initial value problem 9z²y" + 9zy' + y = 0, y(1) = 3, y'(1) = 2 By looking for solut...

A:

Q: Help please. *For y= x³-6 / x+3 , find y'. *Find the equation of the tangent line to the graph of y ...

A:

Q: Andersen purchased a car. The value of his car for the first 3 years is shown in the table below. Ye...

A: topic - exponential function

Q: Starting with a 160-foot-long stone wall, a farmer would like to construct a rectangular enclosure b...

A:

Q: Show that the function f(x) =x^-4 + cos (-2x) is even, odd, or neither.

A:

Q: (((I) The function must be continuous at that point I) The limit of the function at that point must ...

A: Please see the below picture for detailed solution. 

Q: 2. Sketch the graph of the following piecewise function x E (-∞, –3) -1 * + 2 -3 2 Let g(x) = - f(x...

A:

Q: (D5 + D4 – 7D3 – 11D² – 8D – 12)y = 0

A:

Q: Find the critical points of the following functions. Assume a is a nonzero constant. f(«) =

A:

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the equation...

A:

Q: Evaluate the following double integral over the region R by converting it to an iterated integral. 4...

A:

Q: Find the slope of the tangent line to the curve - 2x2 + 3xy + 1y - 38 at the point (1, – 3). -

A: Where we use the concept of implicit differentiation then we evaluate the differentiation at the giv...

Q: (y²- 2xy + @x) dx- (x²- 2xy+2) dj = 0 %3D

A:

Q: 4. If a ball is thrown vertically upward with a velocity of 80 ft/s, then it height after t seconds ...

A: topic - function and derivatives 

Q: A manufacture has been selling 1550 television sets a week at $480 each. A market survey indicates t...

A:

Q: dy as a function of t for the given parametric equations. dx (a) Find t – t6 -2 – 9t dy dx dy as a f...

A:

Q: the number of convenience stores in southern nevada from 2005 to 2012 can be modeled by y=7312-630In...

A:

Q: graph of the first derivative f' of a function f is shown. (Assume the function is defined only for ...

A:

Q: Please help. *Find the slope of the tangent line to the given curve below at (5,3). y² - 2x + 5=0. *...

A:

Q: 1 9. What is the 4th partial sum of the series 2=1,41 3D1 4 A. 11 13 В. 17 19 C. 24 --- 10. Find S4 ...

A:

Q: Ise the guidelines of this section to sketch the curve. y = x3 - 18x2 + 81x y y X 2 4 10 12 100 - 20...

A:

Q: 4. Find the absolute max and min of f(r) = 2+5x - x* on the interval [0, 4 ]

A: Calculate the value of function at local extremum point and end points of interval.  

Q: 3. If V =(3r°y-z,x²+y",-2r:'). Find grad div, at the points (2,-1,0).

A:

Q: A rectanqular oarden hos an area of 120m3.THe lenalh is m more thon the lWidth, Frod length, udth (l...

A: Area of rectangle = length×width

Q: Please

A:

Q: dr = -4rt whent=0, r=r, dt Obtain the particular solution of - %3D

A: we have to use separation of variable

Q: Find y". y = 2 cot 6. 4 csc2 cot 4 csc2 81 cot 6. -4 csc

A:

Q: Rewrite the following integral using the indicated order of integration and then evaluate the result...

A: Given that: ∫01∫01-x2∫01-x2dydzdx

Q: Find the center of mass of the solid S bounded by the paraboloid z = 3x? + 3y? and the plane z = 3. ...

A:

Q: A state game commission introduces 40 deer into newly acquired state game lands. The population N of...

A: Follow the procedure given below. 

Q: x+3y -4 3. Find the general solution of y' = 5-x-4y

A:

Q: Evaluate the following integral in cylindrical coordinates. 4 V16 - x2 3 1 -dz dy dx v2 1+x + -4 0 0

A: