10) Consider the function f(x) = 7x² – 8r. Evaluate the following expressions, and simplify your answers. a) f(2) b) f(-2) c) f(3r) d) f(r+3)

Q: 8. Find f'(x) for the function f (x) = (5x² + 3)4

A: ddxfxn=nfxn-1f'x

Q: df If f(x, y) = x² + 2x – 1, then 0. - ду True False

A:

Q: 23) f(x) = -2x³(x - 1)²(x + 3)

A:

Q: 1. How to define the function, f(x, y) = 15x+4x*y+15y 3x+3y to make it a continues function?

A: We have to find the given function is continuous.

Q: What is (fo g)(3) if f(æ) = 3x – 1 and g(x) = 4a? + 9? O (fog)(3) = 178 O (fo g)(3) = 265 O (fo…

A: we have to find (fog)(3)

Q: What is the value of f(1)-168 in [x³ Inx dx = f(x) ((1/4) Inx-B) + C? A) 2 B) 1 (C) D) 3

A:

Q: For this exercise, you will demonstrate the tests to show that Y 3x17 + 18x13 11a® is neither an…

A: Let's find.

Q: 2) If f(x) = , then f() : 2x + 3 6x – 5 SHOW ALL YOUR WORK =

A:

Q: can you explain for what values of x is f(x)=x3-9x2+9x concave up?

A:

Q: 22 Which value of x is NOT in the domain of the function f(x) %3D 11x 33 -

A:

Q: Consider function y(x) = 24-x³-12x², -3≤ x ≤ 4. Which one of the following statements is true?

A:

Q: Determine f(x) given that f'(x) = 12x2 – 4x and f(-3) = 17

A:

Q: 1 E. Is a zero of f(x) = 2r* + 3x² – 6x + 7? Explain.

A:

Q: 13 - What is derivation of f(x) = (2x2 –x + 1)3 at %3D Xo =1 ? a) O 25 b) 36 030 c) 16 d) 9.

A: What is derivation of f(x) = (2x2 -x+1) 3 at xo =1

Q: What is the value of f(1) - 16B in 1 x³ Inx dx = f(x) ( (1/4) Inx - B) + C? 0 2

A:

Q: Which is a reasonable domain for the function f(x) = 10x + 8?

A: We have to find the domain of function f(x) = 10x + 8

Q: The domain of the function f(x, y) = In(2 – /x2 + y? ) is: x2 + y? 4

A:

Q: et f(x) = x³ + 4x. Using fact that f(2) = 16 find (f-1)'(16)

A: Topic:- application of derivatives

Q: What is f(x^2)? *

A:

Q: What is the domain and range of the function fx) = 3y +27 %3D Enter your answers in interval…

A: This question related to real valued function. Solution is given below.

Q: 2. What is the range of the function (x) =-x– 10 if the de А. 28 В. -32 С. -28 D. 38 3. What would…

A: Given that: 2. f(x)=13x-103. f(14)=4x2-5x+3

Q: 72. What is the domain of the function f(x) Vx + 4

A: f(x)=x-1x+4

Q: What is the axis of symmetry for the equatiin: f(x)=2(x+1)^2+1

A: f(x)=2(x+1)2+1As a first step, we need to compare this equation with the equation of a parabola in…

Q: What is the domain for f (æ) = Væ – 3.

A: Given fx=x-3

Q: differentiate the expression with respect to x, assuming that y = f (x). (x2 + y2)3/2

A:

Q: For the function 3, ²8a+21, 2x f(x) = 7, 0 < x < 4 x = 4 4 <a

A:

Q: The functionf(x)=5x−1 f ( x ) = 5 x - 1 is shown on the coordinate plane. Which statement is true?

A: A limit in which f(x) increases or decreases without bound as the value of x approaches an arbitrary…

Q: The domain of the function f(x)= sech-1(21 - ) is [380, A), Then The value of k = The value of A =

A: Given function is f(x)=sech-121-xk Since sech-1x=ln1+1-x2x here, 1+1-x2x≥1 ⇒ either x≥0or x≤1

Q: what is (f o g)(x) given that f(x) = 3x+4 and g(x) = 2x-5?

A:

Q: 2. If f (x, y) = In(x²y³) + xy², find дудх"

A:

Q: Which is a reasonable domain for the function f(x) = 14x + 12?

A: our objective is to find the domain

Q: 82. If f(x) = (1 + x')30, what is f (58 (0)?

A:

Q: How would

A: Given,         (b) Given, the average value of a function on the interval is…

Q: 4. Find f(x), given: f"(x)=12x² – 18x, f(-1) = 6, f(2) = 3

A: Topic - function and integration

Q: Find the domain and range of f(x) = 3(9x +7)2 – 7. Express your answer in interval notation using…

A: Given: The function is,

Q: 33. Given the function f(x,y) = 3x – x³y² + 2x³y, what is A. 3– 2ry + 6x²y B. -2ry + 2r C. 3 – 2ry²…

A: From the given function; fx,y=3x-x2y2+2x3y As we know that, The Power law: ddxxn=nxn-1

Q: Let f(x) = · – 3(x + 4)"(x – 4)1º(x + 5)"| |

A: f(x) &gt; 0 can be solved using simple algebraic properties

Q: Suppose that f(x) 16e" – exº. Find f'(3). f'(3) =

A:

Q: 5. use the four- step procedure to find f'(x) 1 b) f(x)24x 2 a) f(x)

A: Use four-step procedure to find derivative of f(x).

Q: Given the function k (x) = 2x³ – 9x² + 12x + 9. Find the interval when k (x) is concave upward.…

A:

Q: 2. Given the function y = x²[2f (x) + 3x]*. If f (1) = -1 and 54 for x = 1, %3D determine f'(1).

A:

Q: The domain of the function f(x, y) = In(-x² -+1) is: 4 x² + 4 x² + y? > 4 1 x² + y2 <4

A: See the attachment

Q: 3.-X How many points of inflection does f(x) xe have?

A:

Q: Find the deivative of f(x) = Sec(4x72x)

A: Solution: The objective is to find the derivative of the given function

Q: 20. Is the function f (x) = 2x3 - 4x even, odd or neither?,

A:

Q: 1. Let f(x,y)=x^3+y^3-12xy, then, *

A:

Q: If f(x) = -2x + 8 and g(x) = Vx +7, what is (f° g)(2)? Enter the correct answer. DONE Clear all

A:

Q: 3 Let f(x) = 4.x² 5 and g(x)= 3.x + 7, find. -

A:

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.