Problem #2: Differentiate f(x) = [(3x* – 5)(2x³ + 9x – 6)] and solve f '(2).

Q: Use the root test to determine whether the series 7n -n - 2 3n2 +n + 4 converges or diverges. Since…

A:

Q: The integral test applies to the series Select one: O True O False

A:

Q: how to find inverse of y=(x+2) squared

A: Given query is to find the inverse of the function.

Q: J sech(5x+1)tanh(5x+1)dx

A: Topic:- application of integration

Q: Find the arc length of y = +(x + 2)³ + (x + 2)-1 for 1 < x < 2. (Give your answer to three decimal…

A:

Q: Find the asymptotes of the functians and skerch theem *-1 2. Y -3

A:

Q: 00 et -dx 2x +1 π 4 a

A:

Q: First, solve the following system of

A:

Q: Evaluate the integral In(x) le2 x[ln4(x)-1] e3

A: The integration of the integral is  ln(x)/[x(ln4x -1)] limit from e2 to e3.

Q: a) Is the series sin(n) is n³ + 3n2 – 7n + 1 n=1 absolutely convergent or divergent? justify your…

A:

Q: 1. A boy is blowing a spherical balloon at a rate of 50 cm /s. At what rate is the radius of the…

A: This question is based on application of derivative.

Q: Find a power series representation for the function and determine the interval of convergence. f(x)…

A:

Q: Hemegeneus y= JーX

A:

Q: Question #1 C1:“Graph a variety of functions, including piecewise functions, and evaluate limits…

A: We need to solve limit problem.

Q: olw) - " ir Use part one of the fundamental theorem of calculus to find the derivative of the…

A: g(w)=∫0wsin7+t5dt

Q: Give a formula for an antiderivative F(x) of f(x) = In(x)(tan¬1 vx) such that F(3) = 0. 1)

A: This is a problem related to differentiation of the function. Based on the product rule we will…

Q: 1 log3(r – y)*

A: Given; fx,y=1log3x-y   As we know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x And…

Q: The graph of the derivative y= f' (x) of f(x) is given below. According to the graph, we have f(0) >…

A: f is increasing If x 1 &lt; x2    ⇒ f(x1) &lt; f(x2)

Q: log-(cot 1x) lim 1- cosh(2*)

A:

Q: - 2 1 (x +2x -x) 5,

A: According to the guidelines, we are providing answer for first question. Please repost the…

Q: Show complete solution. Please make sure that your handwritten is readable. Thank you

A:

Q: Problem #7: A rectangular garden is fenced on three sides, and the house forms the fourth side of…

A: We have to solve as per the above conditions.

Q: Given that L"(+4²+9)) = 8in(Bt) – sin(Dt) t of Match the following values. 10 is the value of…

A:

Q: (a) Determine the extrema of the function over a one-year period. (t, R)- March relative minimum…

A: answer is in next step

Q: 8 – x2 dx I. x(x2 + 5x + 8) 1

A:

Q: Solve the system -8 6 dx dt -4 2 with the initial value 14 x(0) = x(t) =

A: Let's find.

Q: Question Ris the region bounded by the functions f(x) = 6. and g(x) = 2x - 6. Find the area of the…

A:

Q: Let f(r, y) = - 4

A: This is a problem related to function calculation. Based on the formula and concept we will find the…

Q: 3 p Show that the area of an equilateral triangle with sides p cm is A = 4 If the side is changing…

A:

Q: (-1)" /n + I is n + 2 n=1

A:

Q: 25. y x', y = 2- x|

A:

Q: Find the vollumes oF the solid that results when the r egion enclosed by the curves y= x, x = y is…

A:

Q: 1. Consider the quadric surface S; + v + 1)² – = 1 + (y + 1) - (z-3)² 4 (a) Find an equation for the…

A: We have to solve above problem as per given conditions.

Q: Let f: R->R be a continuous function that is convex on (-∞), 0] and [0, ∞)) and has a local maximum…

A: We have to show that function f is not differentiable at the point 0.

Q: Differenticte y= (SN( 3))/ (4t 5cos (2x))

A: Given :y=sin(3x)4+5cos(2x)

Q: Соpy of The global minimum of f(x) = x³ – 4x over the interval -2< x<3 occurs at what value of x? O…

A:

Q: Fincl the general equation of y) + 3y? - 10y -0

A: Let's find.

Q: f(x+h)- f(x) 4x3+9x+5 Using lim0 Find the slope of the tangent line y = Зx-8 h at x = -1.

A:

Q: An open-top rectangular box is being constructed to hold a volume of 400 in³. The base of the box is…

A:

Q: Compute the surface area of revolution about the x-axis over the interval [0, 1] for y = e-9x.

A:

Q: a) Let E be the solid that is above the xy-plane, enclosed by z = 18 and = 2. Evaluate the following…

A: Given integral E be a solid above xy-plane and enclosed by z=18 and z=2r2   and triple integral…

Q: 1. Evaluate the following integrals. 3r5 (a) / dr V2 – x3 2" + e2" sin(2") sin(2=) dx 2x +3 (c) / dx…

A:

Q: 1 Given f(x) %3D (x + 1)(1 +2x)x3 Find f'(x).

A:

Q: Find fxx​(x,y), fxy​(x,y), fyx​(x,y), and fyy​(x,y) for the following function.…

A:

Q: You will calculate L5 and Ug for the linear function y =16 – 5 z between z = 0 and z - 2. Enter Az…

A:

Q: .2 1 27 36

A:

Q: Question No.5 Discuss the concept, advantages and disadvantages of Gaussian Quadrature in numerical…

A:

Q: 1. The direction vector of a line is an indicator of its slope. 2. The dot product of two vectors…

A:

Q: Let f (x) = 1(1 2 2 +4. Evaluate f(-8). f(-8) = Number

A: Given f(x) = -½(½)x + 4 We have to find f(-8)

Q: 1.1 Exercises In Problems 1 Q-120, a differential equation is given along with the field or problem…

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