Let f(x)=x+2x+9f−1(−8)=

Q: See attachment

A: Given,

Q: 2 ax +bx + c that has 1, slope -8 at x -1, and passes through 70. Find a parabola with equation y sl...

A: We first find slope y' at x. 

Q: see attachment

A: According to the given inequality:

Q: See attachment

A: Given,

Q: Evaluate the limit. (Use symbolic notation and fractions where needed.) 1 cos(h) lim h-0 7h2

A: Since the given limit is in 0/0 form if h=0 is plugged so we use the L'hopital ruleDifferentiated bo...

Q: Please see attached

A: The given position function is,

Q: Please see attached

A: a)To find the derivative of f(x) , we use the result that derivative of x^n is n*x^(n-1)

Q: See attached

A: Equation  modeling the diplacement d as function of time = A sin wt where A = amplitude and time per...

Q: Please see attached

A: Given, 

Q: See attachment

A: Given,

Q: See attachment

A: Calculation:Solve the given inequality as follows.

Q: See attachment

A: Given:

Q: O 15 Find the all the points (if any) where the tangent to the graph of G(x) 3x-6x27x+63 is horizont...

A: Consider the given function G(x) = 3x3 -6x2 -7x +63.

Q: Find the domain of  (f + g)(x).  (Enter your answer using interval notation.) f(x) = radical(81 − x2...

A: The given functions are:

Q: see attachment

A: Consider the given function as,

Q: Find the linearization L(x) of the function at a. f(x) = rad(x),    a = 25

A: Given, 

Q: see attachment

A: The continuous exponential growth rate is given by

Q: find the derivatives without using product or quotient rules.  y = ((x^3+8)/(x^2-2x+4))

A:

Q: see attachment

A: Apply log rule.

Q: ONLY PART 1.d PLEASE Tangent Lines and Derivative Definition AND QUESTIONS 2 AND 3 Let f(x)x29 a FTd...

A: As per our policy I am going to solve 1.d and for question number 2 and 3 please post the question a...

Q: 2.3 - Can you show the steps to solving this problem? Differentiate the function. 12) y = x^(5/3) - ...

A: We have to use the exponent rule. 

Q: See attachment

A: Given:

Q: Let f be the function for x 1 бх-1 ax b for 1 x 2. Find the values of a and b that make the functio...

A: To determine the value of the constants a and b such that the function f(x) is continuous.

Q: See attachment

A: Calculation:a)Compute f(g(x)) as follows.

Q: An isosceles triangle has an area of 29 cm2, and the angle between the two equal sides is 5π/6. Find...

A: Given,

Q: see attachment

A: The function is given by,

Q: See attachment

A: Find the exact value of sin870֯.

Q: See attachment

A: This graph is of sec or csc form.At x=pi/2 , y=1At, x=3pi/2, y=-1 Only y=csc x satisfies that.Answer...

Q: See attachment

A: Given, function

Q: See attachment

A: Given,

Q: See attachment

A: Refer to the question. Here we have to calculate exponential function showing relationship between y...

Q: The function f(x)=2x3−33x2+168x+9 has one local minimum and one local maximum. Use a graph of the fu...

A: To estimate (approximate calculation) the local maximum and local minimum of the given function y=f(...

Q: See attachment

A: The matured amount is $6000 in the end of 8 years at rate of interest 2.5% per year.

Q: See attachment

A: Use the below result to find the period and amplitude of the function.

Q: See attachment

A: Please see the white board.

Q: See attachment

A:

Q: See attachment

A: Calculation:Express the polynomial h(x) = x3 – 3x2 − 7x – 3 as the linear factors as follows.Since o...

Q: Let f and g be functions such that f(0)=4, g(0)=6, f′(0)=6, g′(0)=-4, Find h′(0) for the function h(...

A: First obtain the derivative of h (x).

Q: dx S 16+4x2

A: The given integral is

Q: Differentiate the function.

A: Refer to the question. We need to differentiate the provided function .

Q: See attachment

A: to study the function y= -1.5 sin(x), for one cycle and graph the same

Q: The table shows the number of CD players sold in a small electronics store in the years 1993-2003. C...

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

Q: Let n be a positive integer and f1(x), f2(x),f3(x),...fn(x) be differentiable functions. Conjecture ...

A: Given,\

Q: Evaluate the piecewise defined function at the indicated values. x2 f(x) if x -1 + 4x if -1 < x s 1 ...

A: Substitute the value x=-4 in f(x)=x^2+4x.

Q: See attachment

A: To find the equation that modeling the displacement d as a function of time t for an object moving i...

Q: See attachment

A: We take log on both sides.

Q: See attachment

A: Calculation:From the given information, A0 = 36 grams, r = 4% and t =6 days.It is also observed that...

Q: See attachment

A: For x intercept we plug y=0 and find x=?Answer: x intercepts= -3 , 1 ,3

Q: See attached

A: Calculation:The x intercepts of y = (1/2)cos(x) is [(π/2) + 2πn,0] and [(3π/2) + 2πn,0], n= 0,1,2,3....

Q: Need help with #4

A: As the question states, you will need the result of exercise 3 to solve this. Since, you have asked ...

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.