Sketch the graph of y = 4-√9-2² over the interval [-3, 3], and use the notion of net area to compute the definite integral (4-√√9 – 2²)

Q: The limit given below represents the derivative of some function f at some number a. What is the…

A: The given limit,.The limit represents the derivative of a function  at a point .The aim is to find…

Q: (1). Does the following series converge absolutely, converge conditionally or diverge? (a). Σo(7)".…

A: According to our guidelines, we can answer only the first question or first three subparts of a…

Q: Evaluate the following indefinite integrals. 1. f sec³ x dx

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Q: 12. First simplify using identities and then solve 2 cos 0 + tan 0 00< 27. Express the answer in…

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Q: Let a and b be unknown constants, and define the piecewise function f(x) where 7T a cos (x),…

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Q: Let g(x) = x² and h(x) = (fog)(x) = sin x². Then f(x) = (gof)(x) = and

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Q: $3500 was borrowed at a simple interest rate of 3.99%. what amount of interest would be owed after 1…

A: Here given the borrowed amount, (P)=$3500Rate of interest levied , (r)=3.99%Here the interest is…

Q: 7. For the following function f(x) = −2x² + 4x + 1 a) Find the maximum or minimum value of f(x). b)…

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Q: 12. First simplify using identities and then solve 2 cos 0 + tan 0 0 6 О п 5п 7п 4¹ 4 2 2 2 О п 3п…

A: First to simplify by using the identities and then to solve

Q: 9. At a seaport, the depth of the water, h meters, at time ₺ hours, during a certain day is (t - 7)…

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Q: Ch 04 Sec 1 Ex 13 (d) - Division Algorithm 1065 is divided by 13. (quotient, remainder) =

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Q: Find the inverse Laplace transform of F(s) : = f(t) = -7s - 28 s² + 5s 6 -

A: The given function

Q: 2.(15) The graph af / is given below. Use the graph of / to determine the given limits. Enter ONE if…

A: we can observe as x approach curve approach value -1.

Q: 1 lim x+22x - 3 = 1 lim √√x²-3 = 1 x→2

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Q: Question (17), answers are given, please show work a, b, c,

A: According to our guidelines, we are supposed to answer only the first three subparts of the…

Q: 6. Use the given graph of f to state the value of each limit, or explain why it does not exist. (a)…

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Q: Determine the following limits. Enter DNE if a limit fails to exist, except in case of an infinite…

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Q: Find the composite functions (f o g) and (gof). What is the domain of each composite function?…

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Q: d. e. 8x³10x² - 12x - 15 2x² - 3 I 3x4 - 2x² - 5 3x² - 5 13 X x² − 1⁄2x³ + 3x² −5/2x+12/20 - f. 9 -…

A: Solve given expression using long division method

Q: If the point (a, b) is in the fourth quadrant, in what quadrant is (a, -b)? Quadrant I Quadrant IV…

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Q: grap S 2- 14 x Enter the point whose tangent line has the steepest positive slope. Enter the point…

A: Find the Solution of all three question with the help of given graph.

Q: Use analytic methods to evaluate the following limit. Enter DNE if the limit fails to exist, except…

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Q: Consider the following. 8 6.³. dt = Let t = 8 tan(0) and determine the following. t = 0-0 = dt 64 +…

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Q: Your firm is considering adding a product line. The accounting department has determined that the…

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Q: Solve the initial condition problem dx/dt=-x^2+4x, x(0)=C x(t)=?

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Q: Find the derivative of the function.  s(x) = 3√x + 11/3√x

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Q: Answer the following problems show your complete solutions lim √4+3w. w-2 - w²

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Q: Answer the following problems and show your complete solutions lim u→-1 u²u³+u-1 u³ +1

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Q: Find the Laplace transform, F'(s) of the function f(t) = sin(3t), t > 0 F(s) = s>0

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Q: Solve differential equation: xy’’=y’

A: Given:   xy'' = y'

Q: HI there where is rest of this questions answers?

A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. Kindly repost…

Q: 2. Evaluate the following limits. Justify each step by indicating appropriate limit Law (s). If the…

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Q: On a trip of d miles to another city, a truck driver's average speed was x miles per hour. On the…

A: The distance between the two cities = d milesThe average speed of the trip = Where  is time taken by…

Q: Find the equation of the tangent line to the curvey = √ √-3 at the point (4,1).

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Q: 4. Describe the surface whose equation is x² + y² + z² +10x + 4y + 2z-19-0. (See Day 2 Example 11.4)

A: By completing the square method, we can identify the surface.

Q: Answer the following problems show your complete solutions lim √49 - a² a-7

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Q: 1. Find the differential equations of the given relations by elimination of arbitrary constants. 2x…

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Q: The rate of growth of a fish population was modeled by the equation 30,000e-0.6t (1 + 5e-0.6t)2…

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Q: A company reimburses its sales representatives $200 per day for lodging and meals plus 40¢ per mile…

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Q: Let j(x) = x 1 3 x Determine the values of x for which j has a vertical asymptote. If multiple such…

A: Consider the function

Q: Suppose the quantity demanded, q, of a product when the price is p dollars is given by the equation…

A: The quantity demanded is given by the equationp=455−16qThe quantity supplied is given by the…

Q: 3. Identify the curve by transforming the given polar equation to rectangular coordinates. A.…

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Q: Find the volume of the solid formed by rotating the region enclosed by Y e+3, y=0, z = 0, z = 1…

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Q: The function f is defined as follows. Complete parts (a) to (d) below. x + 3 f(x) = 7 - X+2 753 1Ե…

A: To find the range of the function f(x). f(x) ={ x+3 if - 2&lt;=x&lt;1            7     if  x=1…

Q: Find the length of the following curve. x² y = 8 Inx, 3≤x≤6

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Q: Use analytic methods to evaluate the following limit. Enter DNE if the limit fails to exist, except…

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Q: The graph of y= 9x + 6 -6x +3 (enter the equation of the horizontal asymptote) has a horizontal…

A: Using concepts of limits, we can find horizontal asymptote.

Q: Find the derivative of the function. s(x) = 3√x + 11/3√x

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Q: cos(x) lim x → (π/2)+ 1 - sin(x)

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Q: 2b) f(x) = 2x²-1 4 2c) h(x) = (2x − 1)4(4x − 3)³ 2d) h(x) = (x²+1)² (2x²-3)²

A: Differentiate the function