In this calculus problem, verify that f has an inverse function. Then use the function f and the the given real number a to find (f-1)'(a) f(x)=x square root of (x-3),         a=4 show each step as neat as possible

Q: Given a right triangle. The hypotenuse is 5, the two sides are "a" and "b". The angle that is opposi...

A: Given that: Hypotenuse = 5.Two sides are a and b.Angle opposite to side b is 30°.

Q: Divide the numerator and denominator by the highest power of x in the denominator and proceed from t...

A: NOTE: Refresh your page if you can't see any equations. . factor out x2

Q: For the following function, find the value of (a) f( – 3) and (b) f(4), if possible. x2 -1 if xs0 y ...

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Q: For each specified discontinuity, sketch the graph of a possible function f(x) that illustrates the ...

A: As per the company guidelines we can solve first question. I hope that the given solution will help ...

Q: Consider the following. if x <1 if x 21' f(x) = a = 1 (a) Find the left-hand and right-hand limits a...

A: Topic:- calculus

Q: x + 5 ½ = 20 Find x.

A: Given              x + 5^(1/2) =20

Q: Find f if f"(x) = 4 – 6x, f(0) = 3, and f(2) = -2. %3D Answer: f(x) =|

A: f"(x) = 4 - 6x , integrating the equation  Using the formula ∫ xn dx = xn+1 /(n+1) ∫ f''(x) dx = ∫ 4...

Q: f (x) = X+1 X-1 g(x) %3|

A:

Q: If y = (x? – 4)2 - 2arc sec find y'. 2' Vx² – 4 Vx² – 4 1 Jx² – 4_ 1 4 A. В. C. +- D.

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Q: Differentiate the function after first rewriting the function in a different form. (Do not use the p...

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Q: 2 — х lim (x,y)→(2,–1) x³y³ – 2x²y³ 2.x2y3 .22,3

A:

Q: Find the smallest K such that | f4) (x)| < K for 4 <x<7. Write answer in simplest form. 7 3 4 ,2

A: Let's find. 

Q: (b) Use the following formulas to set up two integrals for the arc length from (0, 0) to (1, 1). Obs...

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Q: Factor out the greatest common factor X(5x-6)+2(5x-6)

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Q: Which of the following is/are signified by lim f(x) = 0? | The value of x goes out to infinity, when...

A: To find what it signifies

Q: Q1. x= [5, -3, –1, 2]" is a 4-dimensional vector. Calculate the following values: 1. the squared l2-...

A: Given 4-D vector: x=[5,-3,-1,2]T We have to find the Norms of the vector. Norm is the magnitude of t...

Q: Suppose that the weekly sales volume y (in thousands of units sold) depends on the price per unit (i...

A: We can answer both the question as below

Q: Find the limit. (a) lim x→3 Vx +6 – x x3 – 3x2

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Q: 158% This parabola would have a general equation: g(x) = ax? + bx +c for some value a, b, c. Do hot ...

A: Apply integration rules

Q: 5. f(2)=-_? 2x+4 %3D 7. _*+1 * +x+1 f(x) = - 2. 9. 2-4x+3, x#0 f(x) = x=0

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Q: parallel

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Q: 15) tan- -1 Vz 17) cos -1 19) tan 1

A: topic - Inverse trigonometric ratios

Q: Find the derivative of the function using the definition of derivative. 9(x) = /2 - x g'(x) = State ...

A:

Q: Consider the curve satisfying y" = 6x and is tangent to the line y = 5– 3x at x = 1. What is y' (2)?...

A: Given: y''=6xand tangent to the line y=5-3x at x=1To find y'(2)=?  

Q: write the slope-intercept forms of the equations of the lines through the given points •parallel to ...

A: Given: (a) Point:(-1,0);Line:y=-3(b) Point:(2,5);Line:x=4 

Q: Solve the inequality, and write the solution set in interval notation If possible. Write numbers as ...

A: Given:- -3≤3-|2i+8| To find:- solution of given inequality

Q: Let f(x) = 7x and g(x) = 4- x2. Find the following. (a) (f+ g)(x) (b) (f- g)(x) (c) (f g)(x) (d) (x)...

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Q: Find all real solutions of the equation. (Enter your answers as a comma-separated list. If there is ...

A: We have to find out

Q: at x = 1 and f(1) = 4 at x = 2 andf(2) = 3 10. There is a jump discontinuity 9. There is an infinite...

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Q: Let F(x) = f(x') and G(r) = (f(x))". You also know that a 8, f(a) = 2, f'(a) = 13, f'(a') 10 Then F ...

A: Follow the procedure given below.

Q: Let z(x, y) = xy where x = r cos( 40) & y = r sin(0). dy dx ar dy dz Calculate ar dz by first findin...

A: NOTE: Refresh your page if you can't see any equations. . .

Q: A cup of hot coffee is placed in a cold room.  The temperature (in degrees Fahrenheit) of the coffee...

A:

Q: Determine an equation for the line tangent to the function at x-e. O Al y--) TT O B) y--) 1 (x -e) D...

A:

Q: The number of females in law continues to show steady increases. The number of female lawyers in a c...

A: a. It is exponential function. b. F(30) =&gt;F(30)= .834* x^1.297               =.834*30^1.297      ...

Q: Save your solution for this problem to answer the other problem connected to this. Consider the curv...

A:

Q: 3 Į>(4»*+ 12y²+ 9) *dy A (2y²+3) 2 3 B(2y²+3) © (2y²+3) D 4y4+ 12y²+9 None

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Q: Determine the infinite limit. lim In(x2 – 25) x-5+ 00 -00 8

A:

Q: sin z Differentiate y / =

A: Given that: y=sinxx6

Q: Find the derivative f'(x) of the following function f(x). f(x) = sinh (x + 8x*)

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

Q: Evaluate the integral (@) = / cos (0) + sin(20) – 3 cos(0) sin (0) + 3 cos2(0) + 2 sin(0) COS de 3 H...

A: Evaluate the integral 

Q: Convert the following number in the indicated base. 6701 to base 15

A: Divide the number repeatedly by 15 until the quotient becomes 0. When 6701 is divided by 15, the qu...

Q: what is the answer for a? The graph of f behaves like y = [  ] for large values of |x|. Is it positi...

A:

Q: y = tx2 + tx dy Find dx dy dx + 2tx * dy Find dt dy dt II

A: Given that y=tx2+t4x We have to find dydx  and dydt dydx is the derivative of y with respect to x dy...

Q: (2) A buko pie store can produce buko pie at Php95.00. It is estimated that if the selling price of ...

A: Solution: Given that  x: selling price of the buko

Q: | sech²xtanh²x dx

A: We can find the integration as below

Q: A pebble is dropped into a still pool and sends out a circular ripple whose radius increases at a co...

A: Given query is to find the rate of change area.

Q: Find the area of the region bounded by the parabola x=y^2 +2 and the line y=x-8

A: Given query is to find the area bounded by the curves.

Q: 49. Let x = 0.99999 . . . . (a) Do you think that x< 1 or x= 1? (b) Sum a geometric series to find t...

A: Let's find. 

Q: Give the coordinates of the vertex of the graph of the function. Graph the function on a window that...

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Q: Analyze the polynomial function f(x) = (x + 6)(x – 1) using parts (a) through (e).

A: Given:- f(x)=(x+6)(x-1)2  To find:- c. Determine zeros and multiplicity d . maximum number of turnin...