Suppose f and g are continuous functions such that g(5) = 2 and_lim [3f(x) + f(x f(x)g(x)] = x → 5 Find f(5). = 20.

Q: For the graph f(x) above, find: Find: lim f(x) = x→6- lim_f(x) = x→6+ lim f(x) = x→6

A:

Q: re in your answers). B) = 1³. √B) = 4) 3) = А A) B || = -D the help (formulas) help (formulas) help…

A: We have to write in x and y terms according to the given information

Q: -4 -1 3 2 1- -1- -2 -3 -4 1 Language and Notation 4 Select an option below to see how mathematicians…

A:

Q: For the position function s(t)= - 16t+111t, complete the following table with the appropriate…

A: Given: s(t)=-16t2+111t Time interval [1,2] [1,1.5] [1,1.1] [1,1.01] [1,1.001] Average…

Q: Find the volume of the solid obtained by rotating the region bounded by about the line y = 8 y = x¹,…

A:

Q: cos²x-1 COS X = - tan x sin x

A: We have given equation to prove cos2x-1cosx=-tanx sinx Taking left side of the equation  LHS…

Q: Determine an equation for the plane passing through the point P(-4, 2, 0) and containing the line…

A:

Q: The graph below is the function f(x) 5+ 4 3 2 -5 -4 -3 -2 -1 7 -1 -2 -3 -4 -5- Find lim f(x) x→2-…

A:

Q: Change from rectangular to cylindrical coordinates. Select such set of cylindrical coordinates as 0…

A: Let's convert rectangular to cylindrical coordinates.

Q: y = −x2 + 6 Make a table of values, and sketch the graph of the equation.

A: The equation is given by y = -x2+6 To determine: The table of values and the graph of the equation.

Q: fFnd the derivative of: g(x) = 3cos^6(18x^4)

A:

Q: Find the amplitude, the period in degrees, the phase shift in degrees, and the vertical shift. The…

A: A detailed solution is given below.

Q: A force F = (5, 10) moves an object from the point (1, 3) to the point (9, 8). Find the work done by…

A: We will find the required.

Q: A survey of 255 adults found that during the last year, 60 traveled by plane but not by train, 60…

A: We are required to find how many adults did not travel by any of these modes of transport

Q: (B): Find the general solution of O.D.E y" – y = sinh(x) + cosh(x)

A: The objective is to solve the question.

Q: 7. sech²(Inx), X 'dx

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the value or values of c that satisfy the equation f(x)=3x³ +6x², [-2,1] 1(b)-1(a) b-a = f'(c)…

A:

Q: Find an equation of the sphere containing all surface points P = (x, y, z) such that the distance…

A:

Q: Determine the slope of the tangent line, then find the equation of the tangent line at the given…

A: We have given parametric equations x=6t y=3t3 When t=-1 x=6-1=-6 y=3-13=-3 Say,  x1,y1=-6,-3…

Q: Consider the vector function r(t) = (2t + 1)i + (3 − t2 )j− ln(t)k. Find the length of the curve…

A:

Q: Find f(x) if f(x) = 7 +8 and f(1) = 4.

A: Given that f'(x)=7x4 -(i) and f(1)=4.Our Aim is to find the value of f(x)=?

Q: Let f(x) = 2 + √√x − 6. Find ƒ−¹(x). ƒ−¹(x) Now for fun, verify that (ƒ o ƒ−¹)(x) = (ƒ−¹ ○ ƒ)(x) O =…

A: The given function fx=2+x-6. We have to find the inverse function f-1x.

Q: For the region bounded by y = 2x, the x-axis, and x = 4, determine which of the following is…

A: We have to find whether the volume about x-axis and y-axis are equal or not.Fo that we will…

Q: For the given acceleration vector a(t) = 6ti+ (2t+ 1)j−12k and initial velocity vector v(0) = −4i +…

A: Given acceleration vector a( t ) = 6ti + ( 2t + 1 )j - 12k  initial velocity vector v(0) = −4i + 2k…

Q: Find the volume of the solid generated by revolving the region about the given line. The region in…

A: Figure:-

Q: Each of the following functions gives the amount of a substance present at time t. In each case,…

A:

Q: Let f be a one-to-one function. If the domain of f is the set of all real numbers and the range of f…

A:

Q: Use the given graph of f to find a number & such that if |x-1| < 8 then |f(x) - 1| < 0.2. 8 = y 1.2…

A: We need to find delta.

Q: Determine the amplitude and phase shift for the function, f(x) = sin(x)-5 and sketch at least one…

A:

Q: Consider the following. power X 1 2 3 y 2 2.8284 3.4641 4 4 5 4.4721 6 4.8990 Find the equation of…

A: Let us plot the given table.

Q: 5. f2cotx−3 sinx dx sin x

A: Using substitution and direct integration

Q: If f(3) = 24, f' is then the value of f(9) is 9 continuous, and f f'(x) dx = 14,

A:

Q: Given that f(x) = x² - 10x and g(x) = x + 6, find (a) f + g= (b) f-g= (c) fg= f (d) 9 =

A:

Q: Set up a double integral to find the volume of the solid region bounded by the graphs of the…

A:

Q: Use the function to find the image of v and the preimage of w. - (1/2 √₂-√/2 √2, V₂ + T(V₁, V₂) =…

A: The given function, Tv1, v2=22v1-22v2, v1+v2, 2v1-v2. We have to find the image of 9, 9 and the…

Q: For f(x) = 2x² + 5, find the number c in (-3,-1) guaranteed by the Mean Value Theorem. (Use symbolic…

A: Mean value theorm If f( x ) is continuous in [ a , b ] f( x ) is differentiable in ( a , b )then a…

Q: What is the second derivative of the graph below at x = 1? -5 -4 -3 -2 f "(1) = 5 4 3 2 da 4 I 4

A:

Q: Find the general solution for the below differential equations (using wodetermined coefficien…

A: A detailed solution is given below.

Q: each

A: We have to find its value according to the given information.

Q: Consider the function (a) (b) (c) f(x, y) = x² + y² Verify that f(x, y) has a minimum at (0,0). Find…

A:

Q: -4 x = y² - 3 -2 y 3 2 -2 -3 y = 1 x = e 2 y = -1 4 X

A:

Q: -1. -2 -3 3 4 5 6 Make it continuous. 7 (1) Change the graph (by dragging one of the movable points)…

A:

Q: Find the equation of the line with slope −6 which goes through the point (−9,−6). Give your answer…

A:

Q: (4) Given & & unit vectors and 1²₁³)=³/2 Find 12-31

A: Given  e and f are unit vectors.

Q: The function h(x) defined as: = 1 x+7 can be expressed in the form f(g(x)) where g(x) = (x + 7) and…

A:

Q: Using laws of logarithms, write the given expressions using sums and/or differences of logarithmic…

A: Formula used logx + logy = log( xy ) logx - logy = log( xy ) logxy = ylogx

Q: In Exercises 17-26, evaluate using Theorem 2 as necessary. 17. lim x → 0 X 18. lim x → 0 tan x 19.…

A:

Q: x²sin+y²cos + xy In X X X+Y x-y

A:

Q: Find the inverse function to y = f(x) x = g(y) = 4-7x 6- 6x 7 - 6x help (formulas)

A: Given y = f( x ) = 4 - 6x 7 - 6x

Q: 1. Find the general solution for the following differential equation. a. y'= 2y - 4x

A: You have posted multiple question which are not interlinked and i can solve only one question as per…