Evaluate the integral. (Use C for the constant of integration.) dx 81 - x2

Q: Find the equation of the tangent line to the function f(x) = In(5x) at x = 2. (Use symbolic notation...

A:

Q: If F(x) = f(g(x)), where f(5) = 7, f '(5) = 2, f '(2) = 3, g(2) = 5, and g'(2) = 3, find F '(2). F '...

A:

Q: 2. In(x + iy) = A. cos(x) cosh(y) - i sin(x) sinh(y) B. sin(x) cosh(V) + i cos(x) sinh(y) C. cos(x) ...

A: solution

Q: Find the fluid force on the vertical side of the tank, where the dimensions are given in feet. Assum...

A: Let's find. 

Q: Find the area bounded by the curve y = x^99 the, the axis and the ordinates x = 0 and x = 1. a. 0.0...

A:

Q: Q12. The amount of infected people S in thousands by a new flu variant depends on the time t in days...

A:

Q: Iculate the derivative indicated. d'y 1 + 322 where y = da2 \1 7 23 nswer:

A: d/dx(x^n) = x^(n+1)/(n+1)

Q: Evaluate the following improper integral. If it diverges, then type 'DNE. Otherwise, find its exact ...

A:

Q: Question 5 Determine the coefficient of Cot(x) when we evaluate [cot(x) – csc(x)]²dx_ 1 (A 2 B 2 Non...

A: ∫cotx-cscx2 dx

Q: 1. Use the graph of the function below to answer the following: -6 -5 -4/-3 -2 1 2 /3 4 $ 6

A: According to grapha. f1 =2b. limx→2+fx=-3c. f2=1d. limx→0fx=-4e. f3=12f. limx→-1.5fx=0g. f4=2h. limx...

Q: |3| 7/7 2) Find the arc length of y = ln (sec x) from x = 0 to r 11

A:

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

A:

Q: Differentiate the following. Simplify your answer completely. Write your answer without negative exp...

A:

Q: A​ once-popular children's doll is slowly declining in popularity. The quartic function f(x)=0.002x^...

A:  The quartic function f(x)=0.002x^4+0.025x^3-0.36x^2-7.243x+86.993, where x is the number of years s...

Q: Describe how the range of a distribution is defined and calculated. Choose the correct answer below....

A: Solution: Range of a distribution 

Q: 5. Calculate the derivative of f(x) = Use this result to determine whether the sequence x2 + 1 An = ...

A:

Q: e" corh w dw

A: Explained below 

Q: The table below is an example of probability distribution of a discreet random variable. * 1 3 5 P(X...

A: Topic:- probability distribution   

Q: Consider the following. 6/x-1/y=7   a) Find  y ′  by implicit differentiation. y ′ =        (b) Solv...

A:

Q: 1. S 3x° + 2x3+7x - 4 dx 2. Sx7 – 48z11 3. S 10t-3 + 12t-9 + 4t³ dt 5z16dz -

A:

Q: 5. lim f(x) = +o, lim f(x) = 0 6. lim f(x) = +00, lim f(x) = 0 and f(-1) = -1 %3! x+1+ and f(-1) = 0

A:

Q: With partial fraction decomposition the following rational expression can be as A В + x + 2 27 (х — ...

A:

Q: Find the solution of the given initial value problem in explicit form. - (1 – 5z)y", y(0) 6. y(1) = ...

A:

Q: 5. 4. 3 2- -6 -5 -4 -3 -2 -1 -1 3. -2- -3 -4 - -5+

A: Concept - with the help of graph of Tanx

Q: An = e¯" cos(nT) %3D

A: Here, note that -1≤cos(nπ)≤1 So, -e-n≤e-ncos(nπ)≤e-n...(1)

Q: Assume that 0 is an angle in standard position whose terminal side contains the point (-24,7). Find ...

A:

Q: 3x2 + 4x + 10 8. *: (2x – 1)(x² + 4) |

A:

Q: Calculate the derivative. y = ecoth (22x) (Use symbolic notation and fractions where needed.) dy dx

A: using chain rule

Q: Consider the function f(x) = – 4(x – 3)2/3. For this function there are two important open intervals...

A: To find: The value of A which is critical number also need to determine the interval -∞,A,A,∞ at whi...

Q: Z= Logyx Find 근xx (2) 근 y

A:

Q: Let f(x) = (6 + 5æ) f(x) has one critical value at A = For x A, f(x) is Select an answer

A: f(x)= (6+5x)2  Find the critical points of f. 

Q: XY x + Vy² + 1 ) dx dy = 0 - Vy?+1

A: Topic  -  differential equation 

Q: ose the government decided to pay off the $12 trillion debt with a one-time charge distributed equal...

A: Topic:- algebra   

Q: Will the limit of all polynomial functions f (x) as x approaches a be always equal to the value of f...

A: To write that the limit of all polynomial functions f(x) as x approaches a always equal to f(a). 

Q: x² – 21x + 54 - lim x → 3 х — 3 - II

A: x2-21x+54=x2-18x-3x+54=x(x-18)-3(x-18)=(x-18)(x-3)

Q: How did he get the value inside the circle? 2も elt b 3/4 34-1 2/4 314 /4 3/4 to 2

A: The given problem is solved below in detail.

Q: graph of function f and g are given which is larger f(-1) or g(-1)

A:

Q: (d) Evaluate L(2.01) using your equation from part (c) (e) Evaluate f (2.01). Why is this value so s...

A: Given function f(x)=2x3-3x2

Q: Blood alcohol concentrations of drivers involved in fatal crashes and then given jail sentences are ...

A: Here is the solution

Q: u du Formula Answer dy 9. ey sin( e-y)

A:

Q: The integral of the given function | sin22x cos 7x dx is equal . ....

A:

Q: Fad ives Find the derivatives: (a). g(x) = tan(cos(3r)), (b). f(x) = tan (cos(3r)).

A:

Q: Draw a direction field for the differential equation y': Based on the direction field, determine the...

A:

Q: Find the the arc length of y = 4x? – 2 from = 0 to x = 2 No decimal entries. Find the exact value. L

A:

Q: 2x? – 4 on Find the arclength of y 0 < x < 2 -

A:

Q: Consider the function f(x) = 3x + 4x-1. For this function there are four important open intervals: (...

A:

Q: (1) In this question we will find a recursive formula for the integral In = [ (In 2)" dr. (a) Find I...

A: We will use integration by parts formula and after get the reoccurrence relationship we will use tha...

Q: Evaluate the following indefinite integral Use C for any constant of integration 81 x1° dx =

A: The objective is to evaluate the integral. 

Q: Find derivative of the following functions 1. y= sin^-1 2x^2 2. y= tan^-1 2x^2/5

A: