x3dx 3. S (x4+4 )4

Q: 4cosx + 2sinx at x = 2

A:

Q: The point P has coordinates (-1, 4, 11) and the line / has equation r = (i) Find the perpendicular d...

A: The perpendicular distance, ?,between a point ?(?,?,?) and a line with direction vector d→ is given ...

Q: Consider the following. 18/1 + e−x = 2 (a) Find the exact solution of the exponential equation in ...

A: The given equation,   181+e-x=2

Q: 2x = y + 2 2 2y = z + 2z = x + 2

A: Given that: 2x=y+2y   .............(1)2y=z+2z   .............(2)2z=x+2x   .............(3) We have t...

Q: Given the triangle below, find sin(0). Enter the answer as a fraction. 17 15 0. 8

A: Find your answer below 

Q: Calculate the amount of money​ you'll have at the end of the indicated time period. You invest ​$400...

A: Given query is to find the amount after 8 years.

Q: Verify that the equation is an identity. cot 0 cos 0 cos 0 81. cot 0 - cos 0 1- sin 0

A: Since you are asking multiple questions. We are answering only the very first question as per our gu...

Q: Find the area of the surface obtained by rotating the curve y = 5x° from æ = 0 to æ = 9 about the x-...

A:

Q: Use implicit differentiation to find an equation of the tangent line to the ellipse defined by 2x^2−...

A:

Q: The graph of a conic section is shown below. Identify, among the options, a possible equation for th...

A:

Q: Suppose that f(z, y) is a smooth function and that its partial derivatives have the values, f-(-8, -...

A:

Q: Write the first-order differential equation in standard form. (Use yp for dy/dt.) dy dt = 7y + ty +...

A: The standard form of a first-order differential equation is dydt+g(t)y=h(t)or, y'+g(t)y=h(t)      .....

Q: graphing calculator is recommended. Find the following, rounded to two decimal places. (Enter your ...

A:

Q: Given the function f(x) = +x° + x° + 2%x*, find all x-values where f has an inflection point. 6. Ans...

A:

Q: Which of the following integrals represents the area of the surface obtained by rotating the curve y...

A: NOTE: Refresh your page if you can't see any equations. . take derivative the given interval is ...

Q: 1 1.1 18 6 2. Find the sum of the first 5 terms of the geometric series +

A: topic - sum of geometric progression

Q: Find the equation of the surface of revolution generated by rotating the hyperbola x^2 - y ^2=1 , ar...

A: \ Revolution of the hyperbola about its transverse axis generates a surface of two sheets, two sepa...

Q: Question 6 - P Consider a room in the shape of a cube, 4 meters on each side. A bug 4 m at point P w...

A: according to our guidelines we can answer only first question and rest can be reposted. 

Q: Find the volume of the pyramid with base in the plane z = -1 and sides formed by the three planes y ...

A: We need to evaluate volume.

Q: Find the volume V of the solid S that results when the region bounded by y = x2, y = x, x = 0 and y ...

A:

Q: +00 2 -1)"+1(3n)! 3n+1

A:

Q: Find a solution for y in terms of x that both satisfies the differential equation and passes through...

A: We have to find the solution of differenrial equation

Q: 4 dx J (3+12x?)arctan 2x

A:

Q: Solve the differential equation (D3 – D² – 4)y = 2x² – 4x – 1+ 2x²e2x + 5xe2x + e2x - - -

A:

Q: The graph of f(x) is shown below. Estimate and list the value of x where f(x) has a horizontal tange...

A: We have to find the values of x for which f(x) has horizontal tangent.

Q: 8. Find the longest and the shortest distances from (1, -2) to r? + 2y? = 1. 9. Try to solve problem...

A: Distance formula=Sqrt{(x-x1)^2 +(y-y1)^2} The Lagrange method of multipliers is  F(x,y)=f(x,y)+lamda...

Q: 77. The rate at which water leaks from a tank, in gallons per hour, is modeled by R, a differentiabl...

A: Consider a function y = f(x) .Then f '( x0) is the rate of change of y with respect to x at the poin...

Q: Using f(x) = In(3 – 2x), what is its f(n) (x)

A:

Q: d'y Find for x* +y* = 16. Express your answer in fully simplified form. dx?

A:

Q: Find the derivatives of the following functions: 1. y = 2x3 + 6x 2. y = 7x* - 3x? 3. y = (3x +1)(2x ...

A:

Q: If x? + y? = 100 and dy 8, find dt dx when y = 6. (Enter your answers as a comma-separated list.) dt...

A: Given that x2+y2=100dydt=8To find :dxdt when y=6Solution:x2+y2=100x=100-62=8x2+y2=100Diffranciate w....

Q: determine whether the sequence {√ n+2 - √ n+1} is convergent or divergent

A:

Q: Suppose the infinite series > am is divergent. Then for any real number c, the series ca, is also di...

A:

Q: Identities and Equations Verify each identity. 1) sin2 xsec? x = cot2

A:

Q: How do you find the derivative of function y=x^2-2radicalx/x

A:

Q: differential equation .2x 2

A:

Q: Choose from these statements. The proof starements in correct order. Let (2, y) satisfy R and (y, z)...

A:

Q: Solve the differential equation y y' = - + sin sin ()

A:

Q: x' +3x² +3x+1 (i) Find lim x→1 2x° +3x² – 1

A:

Q: III. For each of the following series, determine whether it is convergent or divergent. Justify your...

A:

Q: Find the area under the given Cunves: D= 9-X From X = - 2 to X = 8

A:

Q: For the function, find any horizontal and vertical asymptotes. (Enter your answers as a comma-separa...

A: Follow the procedure given below.

Q: Solve the initial-value problem by using integrating factors. xy' = y + 4x ln(x), y(1) = 3

A:

Q: lim x 5x + 6 | Evaluate x → 3 X - 9

A:

Q: Selected values of f(x) are shown in the table below. What is the e10 trapezoidal sum approximation ...

A: We have to find ∫410f(x)dx  

Q: Let h, k, m, neR such that n > m >0. A general equation corresponding to the above surface is: A) (z...

A:

Q: maximize z=8.50x1+12.10x2 subject to 2x1+3x2 <  24,000 x1 < 6,600 x2 < 5,500 x1+x2 < 10,000

A: topic- linear programming

Q: 3 Calculate the arc length of y = x? over the interval [1,5].

A:

Q: The slope of the tangent line to the parabola y = 2x + 2x + 6 at the point (- 1, 6) is: The equation...

A: The slope of the tangent line to the parabola                      y = 2x2 + 2x + 6 at the point (-1...

Q: 4. The goal of this problem is to show that x² Q(x) = 1+x + is the quadratic approximation to f(x) =...

A: