find all real values of x such as that f(x) =0 f(x) =3x-4/5

Q: Find the local maximum and minimum values of f using both the First and Second Derivative Tests.…

A: Now differentiating with respect to x, we get

Q: Obtain the TSE of f(x) = 2x² in powers of (x-1)

A: To Find: The Taylor Series expansion of function 2x-2 with center x=1

Q: Find the critical numbers of the function. f(x) = x3 + 3x2 − 45x

A:

Q: Find the local maximum and minimum values of f using both the First and Second Derivative Tests.…

A:

Q: Show that f(x)=4x^5+x^3+7x−2  has exactly one real root.

A: Given, f(x)=4x5+x3+7x-2

Q: f(x)= 2x² – 8x- 3 on the given interval [1,3].

A: Given f(x)=2x2-8x-3 on [1,3]

Q: Find the roots of the function f(x)=(2x-1)(x2+2x-3) with x belong to R

A: f(x)=(2x-1)(x2+2x-3)=0 We have find all the real numbers that make f(x)=0 because it is given that x…

Q: Find the critical numbers of the function. a. f(x) = x³ + 6x2 – 15x

A:

Q: Find real values of x for which f(x) = 0. f(x) = x3 − x

A: Given: fx=x3-x To find the real values of x for which fx=0. Solution: Put fx=0 and then solve for x.…

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 2x3 – 6x² –…

A:

Q: Find and classify the extreme values of f(x)=6x^4 - 4x^6 over the interval [-2,2]

A:

Q: The function f (x) = 3x² –4x-3 is continuous everywhere.

A: Given,             f(x)=3x2-4x-3

Q: Find the constant a such that the function is continuous on the entire real line. 7sin x if x <0…

A: For a function to be continuous at x = a, it must satisfy the following condition:

Q: Use the intermediate value theorem to show that the equation x + 2x + 1 = 0 has a solution in the…

A:

Q: (B) The function f(x) = x² + x +1 has no fixed point, prove that.

A: Let X be a nonempty set and f : X → X. A point x ∈ X is a fixed point of  f, if f(x) =x.  If no…

Q: Use Intermediate Value Theorem and Bolzano's Theorem to show that f(x)=x^3 and g(x)=2x+3 intersect…

A: given functions are                                                     f(x)=x3g(x)=2x+3 if both the…

Q: Find the local maximum and minimum values of f using both the First and Second Derivative Tests.…

A: A Function f has a local maximum at a point x0 if the values f(x) of f for x 'near'x0 are all less…

Q: Find f’(x) for f(x)=x^4-5x^2-3/x^2+square root x

A:

Q: Find the values of x for which the function f (x) = x −7/x^2 + 3x −70 is continuous.

A: Topic:- function

Q: Find the constant a such that the function is continuous on the entire real line. 8sin x if x < 0…

A: For continuity of f(x) LHL=RHL     so find lhl and rhl and equate both to get a.

Q: Find the absolute maximum and minimum values of f(x) = 2x³- 3x2 – 12x for 0 <x < 3.

A: First we find the critical points of f(x) and then local extremum points of f(x). Then comparing the…

Q: Find the greatest and least values of f(x) =x' –- 3x² +1 on the interval of [-3,2]

A:

Q: Find the constant a such that the function is continuous on the entire real line. 8sin x If x < 0 if…

A:

Q: The function f(x) = x²e*- ex has a root in [0,2]

A:

Q: Find the domain of f(x) = ln(5x + 2).

A: fx=ln5x+2

Q: Find the interval on whih f(x) =x2-3x+8 increasing or decreasing

A:

Q: Find the constant a such that the function is continuous on the entire real line. 8sin x if x < 0…

A:

Q: Find f, f'(x) = 20x3 + (1)/(x), x &gt; 0, f(1) = -3 f(x) =

A: Givenf'x = 20x3 + 1x, x &gt; 0, f1 = −3

Q: Find a function f(x) such that f'(x) = 6x² – 3 and f(0) = 1 - %3D f(x) =|

A: Given:     f'(x) = 6x2 - 3    f(0) = 1

Q: 1. Let f (x) = 2x² – x – 1 and let g(x) = x – 1 Which statement is true?

A: Given, f(x)=2x2-x-1 and g(x)=x-1

Q: find the extreme values on the interval f (x) = x2/3 − 2x1/3, [−1, 3]

A:

Q: Find the values of a and b that make f(x) continuous for all real numbers. (x+2, f(x) = { ax³, (x² +…

A: Given that f is a continuous function, then it is continuous at all the point. So, the function is…

Q: + The f(x) x-1 %3D Undefined at x = -3 3-x

A:

Q: find f'(x) for f(x) = 2xtan-1 x - ln(1+x2)

A:

Q: 6. Obtain the TSE of f(x)=2x-² in powers of (x-1).

A: Solution is here

Q: Find the local maximum and minimum values of f using both the First and Second Derivative Tests.…

A: Please refer the attached image for complete solution.

Q: Find the critical numbers of the function.   f(x)  = x3 + 6x2 -15x

A: Critical numbers of a function are the values of x for which its first derivative is zero or…

Q: Find critical number of f(x) = x^2-7x+8

A: Given function f(x) = x2-7x+8 The critical number is the value of x which makes derivative of f(x)…

Q: Find the values of a and b that make f(x) continuous for all real numbers. (x+ 2, f(x) = { ax³, (x²…

A: f(x)=x+2,x≤-1ax3,-1&lt;x≤1x2+bx,x&gt;1

Q: Find a and b so that the function 2.3 – 5x² + 2, x -2 f(x) = ax + b, is both continuous and…

A:

Q: Find the local maximum and minimum values of f using both the First and Second Derivative Tests.…

A:

Q: Find the interval on whih f(x) =x2-3x+8 increasing or decreasing

A: Given,        fx=x2-3x+8

Q: Find the constant a such that the function is continuous on the entire real line. (9x², Flx) = {9x?,…

A: Given function is : fx=9x2    ,      x≥1ax-6   ,    x&lt;1 Here given that function is continuous…

Q: Find the constant a such that the function is continuous on the entire real line. 5x², ах — 7, f(x)…

A: For a function to be continuous, the value of the left and right limits at critical point needs to…

Q: Find the local maximum and minimum values of f using both the First and Second Derivative Tests.…

A:

Q: Find and classify the extreme values of f(x)= 6x* –4x° over the interval [-2,2].

A: Given,  f(x)=6x4-4x6

Q: point =)=at x = 2 -5 at x = -2 x² +1

A: Solving

Q: x=-2 of f(x)=√x²-1

A: Above question is solved.

Q: Does f(x) = x3 - x - 5 have a real zero between 1 and 2?

A: Intermediate value theorem: Let f be a polynomial function. If f(a) and f(b) have opposite sign then…

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.