Show that the equation 5 = x has at least one real root. You %3D may assume that the functions 5 and are both continuous on (-00, +o0).

Q: The weekly demand for propane gas (in 1000s of gallons) from a particular facility is an rv X with…

A: Consider the 100th perentile is "a" (100p)th percentile means  P(X<=a) = 1

Q: For which value of a is this function continuous? Please use exact values. { ах — 1 x > 3 f(x) = x2…

A: NOTE: Refresh your page if you can't see any equations. . here the function is continuous so we can…

Q: Find the derivative of each function.f(x)= In 6x

A: Given:            f(x)=ln(6x)

Q: Find numbers a and b, or k, so that f is continuous at every point. 3x+ 9, if x<-6 f(x) = { kx+ 6,…

A: Hair we are given that the function is continuous at every point. we use the concept of limit for…

Q: Find the value of the derivative (if it exists) at the indicated extremum. -4 4/6 3 f(x) = - 3xVx +…

A: To find: The value of the derivative fx=-3xx+2. Formula used: Product rule of differentiation:…

Q: find the extreme values on the interval f (x) = x(10 − x), [−1, 3]

A:

Q: a)= 3ス2-3 %3D

A:

Q: Find the derivative of the function f(x) = In(2a? + 5æ)

A: ddxln (x)=1xddxxn= n xn-1

Q: For what value of k will the function f be continuous on (-∞, 0)? { x2 – 16 if x + -4 f(x) = x + 4 k…

A: We have to find

Q: (- 0,a) is measurable.

A: Note that, every interval is measurable.

Q: Find the values of a and b that make f continuous everywhere, x² - 4 if x < 2 2 f(x)%3D ax² – bx + 3…

A: The given function f is,

Q: Find the derivative of the function. f(x) = In(6x2 - 5x + 4) %3D

A:

Q: Find the general antiderivative of each function. (can check by taking the derivative) F(X)= 12x3…

A: Antiderivative: Given the derivative of a function, find the function itself. Find the…

Q: The derivative of the function f(x) = In 5x is 1 x In 5 Select one: O True O False

A:

Q: Find all the values of xx where the graph of f(x)=2x^3−30x^2+144x−2 has a horizontal tangent line.…

A: The given function f(x)=2x3-30x2+144x-2

Q: Find the constant a such that the function is continuous on the entire real line. (x) = {4x?, ах —…

A: We have to find a

Q: Find the extreme values on the interval:  f (x) = ex − 20x − 1, [0, 5]

A: Given, fx=ex-20x-1 in [0,5]

Q: Find the derivative of f(x) = log, (-6x- 6x+ 5) at the point x = 2. %3D Provide your answer below:…

A:

Q: If f(x)=3sin(x)+4x^x, find f'(2). Using logarithmic differentiation.

A:

Q: 6x if x 2

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A:

Q: Suppose f is continuous on [1,5] and the only solutions ofthe equation  f(x)  = 6 are x = 1and x= 4…

A: Given: The function f is continuous on 1,5 and fx=6 has only two solution x=1, x=4 and f2=8, To…

Q: S(x) = (4x² -7)*

A: fx=14x2-72

Q: At what points are the functions continuous? x + 3 f(x) 2 - et

A: The given function is fx=x+32-ex

Q: Find the derivative of the function.

A: the given function is: hx=ln2x2+1 we have to find the derivative of the given function.

Q: Find the value(s) of a for wh has range of all real numbers.

A:

Q: Find the derivative of f(x) = log3 5x2 +1

A: Find the derivative of fx=log35x2+1

Q: Find all values k that make this function continuous at x = 3. 3.x – 9 - if x > 3 x2 3.x f(x) - 3x…

A:

Q: say whether the function graphed is continuous on[-1, 3]. If not, where does it fail to be…

A: It is clear from graph of y=k(x) , that the function k(x) is continuous on the interval [-1,1) and…

Q: Solve for a and b that makes the function continuous at every number in its domain f(x) = 2x+1 x5

A:

Q: Show that the function is continuous. f(x) = log2(x2 + 1)

A: Consider function  fx=log2x2+1   x fx -4 4.087 -3 3.322 -2 2.322 -1 1 0 0 1 1 2…

Q: Find the derivative of the function. y = In (9 – x)6/5 5/6

A:

Q: Find the function with the given derivative whose graph passes through point P f'(x)=1/4x3/4,…

A: To find the function with the given derivative that passes through the point (1,-2).The derivative…

Q: Solve for a andb that makes the function continuous at every number in its domain f(x) = 2x+1 x5

A:

Q: Graph the function f(x) = 2csc r over a one-period interval.

A: The given data is: fx=2 cosecx      (1) To graph the function over a one-period interval.

Q: Find the function whose tangent line has the slope 3x² + 1 for each value of x and whose graph…

A:

Q: Compare the graphs of the functions. Y1 = In(2x) and Y2 = In 2 + In x

A:

Q: Solve the problem in a paper and upload as pdf document If f(x,v) = log,(3x), Verify fxy=fyx ху

A:

Q: Show that x+1/x is increasing on [1,∞]

A:

Q: Find the values that make the piecewise function continuous: 2, XS-1 f(x) = ax + b, -1<x< 3 x2 3 -2,

A:

Q: Find the derivative f(x) = log7 (6x*+3)

A: We need to evaluate the derivative of,

Q: The graph of f (x) = ax+b x²+3x-8 has horizontal tangent at (2, -1). Determine the values of a and…

A: Given query is to find the value of a and b.

Q: Find the smallest positive root for the given function by using the false position method with…

A:

Q: (- 0 ,a) is measurable .

A: Given a statement

Q: (a). Find the values of a and b that make ƒ continuous everywhere. if x<2 x-2 S(x)={ar - bx +3 if…

A:

Q: 7+6z – zº x 4 тх + b,

A: Given that,    A function is continuous everywhere means the function is continuous at every point…

Q: Which of the following functions passes through the point (0,12) and satisfies f'(x)=8 ?

A:

Q: 6) Find the derivative of each function. a) f(x) = In(4x +7) %3D

A: