(x + 1) tan- (3x) + 9x + x dx (9x2 + 1)(x + 1)²

Q: find the derivative of y with respect to the appropriatevariable. y = sin-1√2 t

A: To find the derivative of y=sin-12t

Q: Determine the area of the given region. x, The region in the first quadrant bounded by y = x and y =...

A: To Determine: the area of the given region in the first quadrant bounded by the two curves  Given: w...

Q: Cylindrical to rectangular coordinates Set up an integral in rectangular coordinates equivalent to t...

A: Given:∫0π/2∫13∫14-r2r3sinθcosθz2dzdrdθ

Q: Cartesian conversion Write the equation (x - 4)2 + y2 = 16 in polar coordinates and state values of ...

A: The equation in Cartesian coordinates is (x - 4)2 + y2 = 16. For convert into polar coordinates subs...

Q: Convert the given coordinates to the indicated ordered pair.

A: x=r cosθy=r sinθ

Q: Integration by Substitution Integration by Parts Integration Using Trigonometric Identities Integrat...

A: Use the trigonometry identity cos2x=1-sin2x and then substitute u=sinx and factorize the denominator...

Q: Evaluate the integral.

A:

Q: Find d2y/dx2 implicitly in terms of x and y 7xy + sin x = 2

A:

Q: Find all solutions of the equation in the interval 0, 2n). V3 cot0-1=0

A: Given equation - 3cotθ-1 = 03cotθ = 1cotθ = 13Here, the value of cot is positive, and cot is positiv...

Q: The symbol |x|stands for_______ the of the number x. If x is not 0, then the sign of |x |is always__...

A: Given: To fill the blanks, The symbol |x|stands for_______ the of the number x. If x is not 0, then ...

Q: Use properties of logarithms to condense the logarithmic expression, 2 logb x + 3 logb y. Write the ...

A: Given: 2 logbx + 3 logby To write: The expression as a single logarithm whose coefficient is 1.

Q: The length of an American football field is 200 feet more than the width. If the perimeter of the fi...

A: Perimeter=2(length+width)

Q: Why is  the logarithmic function  not defined for negative values of x, thesoftware can produce only...

A: The definition of logarithmic function is, logbx=y⇒by=x The output value of exponential function by ...

Q: Factor completely, or state that the polynomial is prime. x3 + 2x2 - 4x - 8

A: The given expression is x3 + 2x2 - 4x - 8

Q: Find the derivative of the function. y = 1/(x2 + 5)3

A: Solution:- The given function is  y=1(x2+5)3    

Q: Solve each problem systematically (given, required, equation, Solution,answer). Show your Solution. ...

A:

Q: A differential equation and its slope field are given. Complete the table by determining the slopes ...

A:

Q: The vertices of a triangle in space are (x1, y1, z1), (x2, y2, z2), and (x3, y3, z3). Explain how to...

A: Given:

Q: The loudness level of a sound, D, in decibels, is given by the formulaD = 10 log(1012I),where I is t...

A:       Given :   Formula :-      D=10 log(1012 I)             ...(1)   Also        I=6.3 x 106       ...

Q: Solve : (2x + 3)(x + 4) = 1

A: It is given that,(2x + 3)(x + 4) = 1 We have to solve it.  

Q: Find the partial fraction decomposition of (4x2 + 5x - 9)/(x3 - 6x - 9)

A:

Q: Use the properties of logarithms to expand the logarithmic expression.      ln(xyz)

A: Given: ln xyz To expand: The given logarithmic function.

Q: Evaluate using substitution. lim (2x3 - 4) x→ -1

A: Given: limx→-12x3-4

Q: In Exercises 45–74, compute the derivative using derivative rules that have been introduced so far.

A: Given, y=4e-x+7e-2x Now differentiate the above equation with respect to x we get, dydx=ddx4e-x+7e-2...

Q: Find the intersection of the sets: {3, 4, 5, 6, 7} ∩ {3, 7, 8, 9}.

A: Given  {3, 4, 5, 6, 7} ∩ {3, 7, 8, 9}

Q: dx 1+x² 0-

A: Consider the integral  ∫−∞∞dx1+x2  

Q: An objective function and a system of linear inequalities representing constraints are given. a. Gra...

A: (a) Graphing the Inequalities are as follows :  

Q: The part of the surface z =1  + 3x+ 2y 2 that lies above the triangle with vertices (0, 0), (0, 1) a...

A: Part of the surface: z=1+3x+2y2∂z∂x=3, ∂z∂y=4yVertices of the triangles are (0,0) , (0,1) , (2,1)

Q: Determine whether the statement makes sense or does not make sense, explain your reasoning. Knowing ...

A:                                  (3x2y)2 can be written as (3)2(x2)2(y)2=9x4y2Reason: Yes!  here we ...

Q: Find the area of the shaded region of the circle of radius a when the chord is h units (0 < h &lt...

A:

Q: 41-44 - Sigma Notation Write the sum without using sigma notation. Do not evaluate. 100 10 41. Σ (&-...

A: Note: Here, we are solving example 41 for the remaining example please submit it again. Given: ∑k=11...

Q: Solve following differential equation y(1) = 8 1+8 x y²3 ,2/3 4/3,2/3 „1/3 2x*°y° -x' - dx + -dy = 0...

A: Differential equation: Mdx+Ndy=0 is called exact if ∂M∂y=∂N∂x Solution of exact differential equatio...

Q: Find the volume of the described solid S The base of is the triangular region with vertices , ( 0, 0...

A: Given, The base of is the triangular region with vertices , ( 0, 0 ) ; (0, 1 ) ; (1,0 ) and . but cr...