6x-1 b) f(x) = (3x+5)*

Q: 6. Evaluate In (x - In (r-...))dr in terms of some new variable t (do not simplify).

A: Given :- ∫ ln(x-ln(x-.....) dx in terms of some new variable t

Q: Finding the rate of change of the function defined by y = x³ and evaluating it at x=9 units yields…

A: topic - rate of change of function

Q: f(x) = x-2 (x + 2)² Find the maximum and minimum limits of the function:

A: Given problem:- f(x) = (x-2)/(x+2)2 Find the maximum and minimum limits of the function

Q: Differentiate. 3 y=2x® - 8x2 +21x+ 9 dy dx ||

A:

Q: Obtain the general solution to the equation. (dy/dx)-y-e^3x=0

A:

Q: Determine whether the given equation is separable, linear, neither or both.  (t^2+1)dy/dt=yt-y

A:

Q: The best method applicable to find the volume of the region bounded by .x = -y² and x=y-6 revolved…

A:

Q: Is it possible to solve it without a pocket calculator ??

A: Here to evaluate: t=∫03ds(2.78s+0.8s3)12 The integral can't be evaluated manually.

Q: 11. x² +1 Find +3x+1 -dx

A:

Q: Determine the rules of differentiation used and solve the derivative of the function.

A:

Q: 6 Use substitution to find the Taylor series at x = 0 of the function 1-9x 6 What is the general…

A:

Q: 4. Differentiate the following. Simplify your answers. っ 7m)²/3r 116 エコノー

A:

Q: Show that the equation is homogeneous and find its solution. (x2 + 3xy + y2) dx - x2 dy = 0

A:

Q: S dx (x+1)√2x²+4x

A: This question is based on indefinite integral.

Q: 10dz 4z³-4z²+5z

A:

Q: Let y = f(x). Which of the following statement is TRUE? O None of the above O Let f(x) = -2x + 4. If…

A:

Q: Find the maximum and minimum limits of the function X-2 (x + 2)²

A: Explanation of the answer is as follows

Q: S sec³ x+esin sec x - dx

A:

Q: Assume y = f(x) is a function that is continuous on the real line. Which of the following statement…

A:

Q: t = 3 ds ml

A: Solution of the problem as follows

Q: Analyze and sketch the graph of the function. Label the lines and points indicated on the graphs.…

A:

Q: 5. y³ = 4(y + x²)

A:

Q: 1-In which condition the LCM  of two numbers is one of the numbers? Give an example? 2-In which…

A:

Q: 1. Supposed that you will use a cuboid made of cardboard with a volume of 60cm³. Find the area of…

A:

Q: Sin(x) is an odd function O True O false

A: If f(-x)=-f(x), then f(x) is called as Odd Function.

Q: SUBJECT: DIFFERENTIAL CALCULUS NOTE: Make the solution detailed and clear in a sheet of paper. 1.…

A:

Q: 3- Find the length of the curves in Exercises 1-4. x = (y3/2/3) - y¹/2 from y = 1 to y = 9

A:

Q: X Consider the function f(x) = x²-1 (a) Find the intercepts of the graph of f (if any). (b) Find the…

A: All the subparts are solved below-

Q: 5. -9.763332111 is a Whole number. O True O false

A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as…

Q: Is the function given by g(x)= x+6 continuous over the interval (-4,4)? Why or why not? Select the…

A: Given :g(x)=1x+6   (-4, 4)

Q: 1. How do you think will the infrastructures be, if area in solving the plane region using definite…

A: 1) in that case there would be some standard object with a specified area which can be used to scale…

Q: S x-6 x²+9 dx

A: To evaluate the given integral. ∫x-6x2+9 dx

Q: Q1. Determine the Inverse Laplace Transforms: 45-4 a) 1 [ (542) (5²74) ] 1) 1 [ 21 g (5 +10)]

A:

Q: A cubic block of ice whose side is 2 inches long is melting at a rate of 1 in³ per minute. How fast…

A:

Q: The graph shown is the 1st derivative of function where its domain is R फ़ी An interval where the…

A: topic - strictly  decreasing  interval of function

Q: what is the basic concept of a limit? How is a limit calculated? What techniques / rules can be used…

A: We have to answer given Questions.

Q: S 10dz 4z³-4z² + 5z

A: We have to find value of given Integral using partial fraction.

Q: Q.17: Find an expression for the nonhomogeneous ODE whose general solution is given by: y = Ae³x…

A:

Q: For the function, find the points on the graph at which the tangent line is horizontal. If none…

A:

Q: lim X- 12x²-x-1 1 8x²+2x 4

A: The given limit,         limx→-1412x2-x-18x2+2x

Q: Find the transition points. y = 15x³ + 360x² (Use symbolic notation and fractions where needed. Give…

A:

Q: B/ Find the value of 18 194i 1. + 13 13 O 1 02 (11+5i) (8-6i) (3-21) (1-21) 2. 13 18 134i 1193

A: This question is based on rationalization of complex number.

Q: Compute the directional derivative and gradient of at (2,-1,0) in the direction of the unit vector…

A: Dot product of A.B is ad+be+cf where A=<a,b,c> and B=<d,e,f>.

Q: Find equations of the line through the point (1, −1, 1) perpendicular to the line 3x = 2y = z and…

A:

Q: NÁW [1 2 Find A¹ of The Matrix A= 3 2 -1 [3 1

A:

Q: Question 1 A triangular trough is 10 ft long, 6 ft across the top, and 3 ft deep. If water flows in…

A:

Q: Direction: Use substitution rule to evaluate the following integrals. COS X 1. S dx 2x 1+x² 3. f- dx…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: 9.Sin(x) is an odd function O True O false

A: Since Multiple Questions are asked, I am answering the first question.

Q: n°xf(x) dx = x₁ If f is continuous on [a,b], then A) True B) False <f(x) dx

A:

Q: .. Consider the quadratic function y = 4-x². Using the limit definition, ind the derivative of the…

A: