Functions f (x) = rx-l and gcx) = x-1 (a At what points of the graph of f and do they intesect what is the are a boinded be tuus graph of f andg

Q: Find the area of the indicated region. We suggest you graph the curves to check whether one is above...

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Q: V5x-5x The horizontal asymptote(s) of f(x) = %3D x-4 is (are) (A) y = 0 (B) y = V5 and y = –V5 %3D (...

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Q: How many of the solutions to the following equation are in the interval 0, 2|? 2 sin (x) + cos?(x)+4...

A: How many of the solutions of the following equation are in the interval 0,2π ?     2 sin2x+cos2x+4 s...

Q: Suppose the fanetion f (t2=te Vepreseuts the Velocity cmeasured in meter/second) of an object at fim...

A: f(t)=te-2t

Q: (a) Consider the following:  Find the slope of the given line. slope = ?? Determine the slope of any...

A: Given line,  y= 3x+9 comparing with  y= mx+ c slope a) m = 3   b) slope of parallel lines are same; ...

Q: I have some textbook questions I need help with. Thank you, I appreciate it.

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Q: Find the derivative of each function from the box. Justify your choice by showing your solution

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

Q: A cycloid is the curve traced by a point on a circle as it rolls along a straight line without slipp...

A: Given a cycloid parametric equation : r(t)=R<t-sin t, 1-cos t>,        0≤t≤2π We need to find ...

Q: Find the derivative of the following functions using the differentiation rules

A: Consider two differentiable functions fx & gx The product rule of differentiation is given by: d...

Q: Please show all steps and please make sure it is clear to read and understand. Thanks

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Q: 9. How many ways can you arrange the letters from the word following words?a. CODES b. CABLES c. FIS...

A: Note:- We’ll answer the 9th question since we answer only one question at a time. Please submit a ne...

Q: Find the derivative of the function f(x)= (2x^4- 5x^2 +1)^6 / sin(5x+1). What’s the value of f(0) a...

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Q: If f(x) = tan-(2x), then f'(x) = %3D %3D 1+4x? (B) 72 (C) 1+4z² (D) 교 1-4x (E) 2(sec-'(2x))²

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Q: 16 The height of an object at time t 2 1 is given by h(t) = t² + 15. What is the velocity of the obj...

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Q: Please show all steps and please make sure it is clear to read and understand. Thanks

A:  “Since you have posted a question with multiple sub-parts, we will solve the first three subparts f...

Q: Use the Law of Cosines to solve the triangle. Round your answers to two decimal places. a = 59, b = ...

A: Solution: The objective is to solve the given triangle

Q: Evaluate the definite integral from 0 to pi cos(299x)sin(301x) dp

A: Evaluate the integral∫0πcos299xsin301x dx

Q: A ferris wheel is 35 meters in diameter and boarded from a platform that is 3 meters above the groun...

A: Given, Diameter=35 3 m above the ground

Q: Please help me answer this question.  Thank you

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Q: Find the area of the indicated region. We suggest you graph the curves to check whether one is above...

A:

Q: A only

A: y = -4f(X)

Q: please.

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Q: The graphs of y = sin r and y = cos x are shown below. Set up an integral or sum of 9. %3D %3D integ...

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Q: Please answer

A: Given integral is

Q: A-c please

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Q: Is it true ore false?

A: Solution in Step 2

Q: Find the radius of the circle in which a central angle of 600 intercepts an arc of length 37.4 cm ( ...

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Q: Find the results of S Va² + x² dx and f va? – x² dx integrations

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Q: Can you help me find the Domain and Range for this graph?

A: If you like the solution then please give it a thumbs up.. The Answer is:       Domain = ( - ∞  , ∞ ...

Q: Conclude on the convergence or divergence of sin x dx cos x

A: Since function is not continous at x=pi/2. Hence we break the limit of integral at x=pi/2. This inte...

Q: 6. Find the equation of the normal line to the graph of the equation e+y = xy+5 at the point (-2, 2)...

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Q: Help please

A: Domain for y=kx2 is x<0  or   x>0⇒x∈ -∞ , 0∪0, ∞  irrespective of the value of k. And the doma...

Q: Help with

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Q: Which of the following are equivalent to log, (4)? Choose all that apply. O log, (24) – log,(6) log,...

A: We use logarithmic properties

Q: f(x) -5 -9 1 2 5 The table above gives values of a continuous function f at selected values of x. Ba...

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Q: Find the volume of the solid whose base is given by 9. whose cross-sections perpendicular to the y-a...

A: We will first find the area of cross section. Then integration of Area will be required volume of so...

Q: 9. and B d a a + с 2с Let A C b+d 2d If det (A) = 2. find det (A² B™ A 1).

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Q: V4(x+h)-4x Rationalize the numerator: h

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Q: Find an equation of a line that is tangent to the graph of f and parallel to the given line.

A: Solve by equation of line in slope form

Q: 6 only

A: 5.  f(3x-5) =(3x-5)^2 + (3x-5) = 9x^2 + 25 -30x + 3x -5 =9x^2 -27x +20.

Q: Find a function of the form y = A sin(kæ) + C or y = A cos(ka) + C whose graph matches this one: (Le...

A: given,      

Q: . It is your responsibility to ensure that your work is clear and legible and that each question is ...

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Q: Use the Ratio Test to determine whether the series is convergent or divergent n = 1 Identify an Eval...

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Q: Consider the given function: = x4- x3 f(x) %3D x- 1 What is the domain of f? Should we use f(1)? Why...

A: Consider the provided function, fx=x4-x3x-1 Find the domain of the function. The domain of the funct...

Q: TY +1 lim (1,)→(0,0) 2 + y² OA.-1 =? B. Does not exist O C.0 OD. 1

A: By converting two variable limit into one variable limit, we calculate the required limit.

Q: Write each product as a sum or difference with positive arguments. -2 sin 40 sin 50 - sin 90 – sin 0...

A: The explanation of answer as follows :-

Q: Question 10

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Q: Naturalists find that populations of some kinds of predatory animals vary periodically with time. As...

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Q: 2.Determine whether the following sequences converges or diverges a) (an) = (“ n! (2n + 1) (n + 1)! ...

A: given,       a.     an=n!2n+1n+1!    ,  n∈Nb.    an=1n+1-n  ,   n∈N

Q: Assume the size of a tumort days after a dose of chemotherapy was administered is given by V(t) = 0....

A: Given V(t)=0.332e-0.46t+0.008e0.46ttherefore V'(t)=(-0.332×0.46)e-0.46t+(0.008×0.46)e0.46t       =-0...

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.