a) Find the inverse of the function. b) Sketch the graph of f (x) and f-1(x) on the same Cartesian plane. c) Find the domain and range of both f(x) and f-(x). f(x) = log2(3x + 1)

Q: Find the equation for the plane through the point Po = (7,2,3) and normal to the vector n= 4i + 6j +...

A:

Q: 1. Use the function f (x) = x² – 3 to answer the following questions" A. Find the average rate of ch...

A:

Q: sin(5æ) lim when x is measured in degrees. sin(5æ) lim (Give your answer accurate to at least 0.01.)

A: The objective of the question is evaluate the limit of the function.

Q: Learning Task 2 Use reference angle and appropriate sign to find the exact value of each expression ...

A:

Q: SVEV4 + tVE dt

A:

Q: Find an exponential function of the form P(t) = Pon' that models the situation, and then find the eq...

A:

Q: 3. lim c-11 f(x) = ? f(x) = -49 %3D 4. For example, if lim f(x) = 9 and limg(x) -10, then (a)lim (f(...

A:

Q: Subtract in the indicated base. 11012 1102

A:

Q: 3 Find the abscissa of the centroid of the region between the parabola y = 9 − x2 and the line y ...

A: Given :The parabola y=9-x2 and the line y=2-2x from x=0 to x=2.To find :The abscissa of the centroid...

Q: C. Find the average rate of change (ARC) of f(x) on the interval 4 < x < 4 + h. Note: your answer wi...

A:

Q: Complete the integration: 1 1 Scos (2x)dx = sin 2x -sin 2x + C Determine the value of "?".

A:

Q: (c) y = e* sin 7x + In(cos(x)) (d) y= xarcsin x+ V1-x²

A:

Q: f(x) = log2(-4x + 1) + 8 %3D

A: Given the logarithmic function is f(x)=log2-4x+1+8

Q: 2. Given: f(x)= x' +4x? – 2x+9 g(x) — х? +2 %3D h(n+2)= 2h(n+1)– 3[[h(n)]° h(1) =1 and h(3)= 5 f(-5)...

A:

Q: Question 17 Complete the integration: Determine the value of "?".

A:

Q: Solve the given differential equation by undetermined coefficients. y" – y' + y = 2 + ex/2 %3D y(x) ...

A:

Q: Watch the video and then solve the problem given below. Click here to watch the video. For the given...

A:

Q: A printing press has a roller 19 inches in diameter. A point on the roller's surface moves at a spee...

A:

Q: Let f(x)={x2+2x+1, if x≤3 ax+b,if x>3 Find a and b such that the function f(x) is differentiable e...

A:

Q: The functions f and g are defined as f(x) = 5x – 2 and g(x) = - 7x². f and a) Find the domain of f, ...

A: The given functions are f(x)=5x-2  &amp;  g(x)=-7x2

Q: = 2x2 + 2y? and Find the center of mass of the solid S bounded by the paraboloid z = the plane z = 6...

A: Let x=rcosthetha and y=rsinthetha  So, x2 + y2 =r2  So, r very from 0 to √3 

Q: Solve the differential equation with appropriate method. Finalize answer free of logarithms, fractio...

A: We have to solve given differential equation

Q: Two forces, with magnitudes 2 N and 3 N, act on an object at 10° to one another. Determine the resul...

A: Given that: Two forces are: 2 N and 3N acting at 10° to one another.

Q: A cylindrical tank standing upright (with one circular base on the ground) has a radius of 24 cm for...

A: Given query is to find the rate of change of height of water in the tank.

Q: 2x-3y+6)dx-(4x-6y+2)dy=0

A: Given that: (2x-3y+6)dx-(4x-6y+2)dy=0

Q: Find the integral of 12sin5xcos5xdx if the lower limit is 0 and the upper limit is 90o.   A. 15.5 ...

A: Using definite integration.

Q: 1 Using a table of values, estimate lim 7. z-3 I - 3 а. 1 b. -1 c. - 0 d. 0 x + 4 Using tables of va...

A: Topic:- calculus

Q: What is the symbolic form of the argument?" Sad svd S .. d .. d Option 1 Option 2 Sad svd S ... d .....

A:

Q: of the derivative (long method/ increment method) to following functions. 7a) 7b)

A:

Q: Find the set on which the curve 7 dt t2 + 6t + 15 y = is concave downward. Answer (in interval notat...

A:

Q: Find the point on the graph of z = 2x^2 − 3y^2 at which vector n=⟨8,−12,1⟩ is normal to the tangent ...

A:

Q: Watch the video and then solve the problem given below. Click here to watch the video. For the given...

A:

Q: (5) (2х — у) — 2у — х dy dx

A: As per the guidelines, we are supposed to solve only one questions as multiples questions have been ...

Q: graph the following equation and explin why they are not graphs of a function x y2 =x2

A: We have to check weather the given Equation is function or not.

Q: Find the first derivative or h'(s) of the function below using the techniques of integration: 4 h (s...

A:

Q: A) True B False

A:

Q: Given the differential equation 3 r² y" - 2ty' - 2y = 1? Determine the value of u2. 10 A 70 H2 35 91...

A:

Q: 3. 3x2y2 dx + (2x ³y + x³y*)dy =c

A:

Q: Find the integral: log2 X dx In(2)/ 082(x) + C 2

A: Put logx = u then solve it. 

Q: SOLVE the following DIFFERENTIAL EQUATIONS. 3y(x2 – 1)dx + (x3 + 8y – 3x) dy = 0

A:

Q: Given the equation below. Give what is being asked. 3 3 sin -xcos, xdx a sin ucos udu 8 xpx, Find: a...

A: According to question,Given definite integral,∫04π3 sin638x cos638x dx = αβ∫0γδπ sin6u cos6u du

Q: (7) (y sec 2x + sec x tan x)dx + (tan x + 2y)dy = 0 (8) () ds + () dt = 0 (9) (2x³ – 3x²y + y³) = 2x...

A:

Q: If sin(0) : 3 and 0 is in quadrant IV , then find (a) cos(0) (b) tan(8) (C) sec(0) (d) csc(0) (e) co...

A:

Q: Find the abscissa of the centroid of the region between the parabola y = 6 − x2 and the line y = 1 −...

A:

Q: Graph of f 11. The graph of the function f is shown in the figure above. Which of the following coul...

A: Given that: Graph of f(x)

Q: If 2 ak = 6 and E bk = 36, find the following values. %3D k= 1 k= 1 n bk E 5ak. E 36 k= 1 E (ax + bx...

A: ∑k=1nak=6 and ∑k=1nbk=36

Q: For the given functions, find (f o g)(x) and (g o f)(x) and the domain of each. f(x) = 3x+1, g(x) = ...

A:

Q: Find (fo g)(x) and (g o f)(x) and the domain of each. f(x) = x? - 3, g(x) = 4x – 5 (fo g)(x) = (Simp...

A:

Q: Find the equation for the plane through the points Po(0, – 3, – 5), Qo (3, – 3, – 1), and Ro(5,2,0)....

A:

Q: 24) Find the volume of the solid that results when the region in the first quadrant bounded by the ...

A: Given:- curve x = 6y3 and line x = 14.8 Now, 6y3 = 14.8 y3 = 2.467 y = (2.467)1/3 y = 1.351 In The F...