Let f(r) z-6z and g(r) -6. Evaluate the following 1. (o g)(z)= 2. (g (z)= 4. (g)(e)

Q: Find the distance between the two values of x at which the function is discontinuous. x? -3x + 2 (a)...

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Q: Use the Bisection Method to approximate, accurate to two decimal places, the value of the root of th...

A: Given function,  f(x) = (sin x) - (1/2)  To approximate the root of the function in interval [0.5, 0...

Q: 650 The equation N (t) = models the number of people in a town who have heard a rumor 1+49e-0.7t aft...

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Q: Evaluate the following limit using L'Hospital's rule: 1 - x + ln x lim x→1 1+ cos(3rx) CoS

A: Value of limit is  0 Explanation is given below

Q: I hope you can help me my dear.

A: Here, we are going to solve only one question and for the remaining question please post the questio...

Q: rite the given express as an aigebraic expression in X. co cos () 2

A: Consider the given expression, cos12cos-1x=coscos-1x2 As we know, cosθ=2cos2θ2-1cosθ+1=2cos2θ2cos2θ2...

Q: 1 Graphing Functions Graph the function in each of the given viewing rectangles, and select the one ...

A: The given function is hx=x3-5x-4

Q: Using Rolle's Theorem. Two cyclists start the race at 10 am, both finish 5 hours later. Distance 21....

A: Given Data: Time start of race is t1 = 0 hr. The time taken to finish the race is t2 = 5 hr. Let s...

Q: Eind Positive Numbers XE y Such that X+Y -54$ 1oxy is maximized

A: detailed solution with explanation is given below

Q: Use the sum of the first 10 terms to approximate the sum S of the series. (Round your answers to fiv...

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Q: Find the indefinite integral. :)

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Q: Consider the series ak where (k!)² [(2k)!]² ak In this problem you must attempt to use the Ratio Tes...

A: Given that ak=k!2(2k)!2or, L=limk→∞(k+1)!2(2(k+1))!2k!2(2k)!2or, L=limk→∞(k+1)!2(2(k+1))!2×(2k)!2k!2...

Q: Find fx(x,y) and fy(x,y). Then find fx (1,4) and fy(2,-2). F(x,y)=4x^3y^2

A: Explanation of the solution is given below....

Q: sec 9.2

A: Given, cosβ = -1/3  180 < β < 270 Dividing the inequality by 2  90 < β/2 < 135  (a) We h...

Q: 2h 4. lim h0 2h S(x) dr

A: Answer and explanation is given below

Q: Carry out three steps of the Bisection Method for f(x) = 3* - x' as follows: (a) Show that f(x) has ...

A: Given: The function fx=3x-x7 To Determine: (a) fx has a zero in 1,2 (b) Which subinterval 1,1.5 or 1...

Q: sec 7.5

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Q: c) Determine the nature of the turning points for the curve y = x5 – 5x* + 5x³ – 1. |

A: To determine the nature of turning points for the curve  y=f(x)=x5-5x4+5x3-1 we have to find out f'(...

Q: Find the numerical value of each expression. (Round your answers to five decimal places.) (a) sinh(0...

A: Known fact: sinhx=ex-e-x2coshx=ex+e-x2

Q: Use the limit properties to find the following limit. If lim f(x) = 3 and lim g(x) = 2, find lim [f(...

A: limx->3f(x)=3, limx->3g(x)=2To find:limx->3[f(x).g(x)]

Q: Other Math 1) A={1,2,3,4} Relation R on A is R={(1,1),(2,2),(2,3),(3,2),(4,2),(4,4} a. Is R reflexiv...

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Q: How would I solve this integral?

A: Given, ∫cosy1+sin2ydy Now assuming ,   t = siny then dt/dy = cosy dt =cosydy Sustituting the values ...

Q: (10 pts) 9) Determine the radius of convergence and interval of convergence for the power series giv...

A: Answer and explanation is given below

Q: 6. An ant crawls along a linear path with a velocity of v(t) = cos(3t) inches per minute. (a) What i...

A: Given, Velocity of the ant  v(t) = cos(3t) Let's assume the initital position = x = 0  at time t = 0...

Q: 5-8 Find the derivative and state a corresponding integration formula. 5. dx -[Vx³ +51 6. dx x2 +3 d...

A:              a) Here f(x)=x3+5we find the derivative of the given functionddxf(x)=ddxx3+5ddxf(x)=ddx...

Q: A fence 9 feet tall runs parallel to a tall building at a distance of 3 ft from the building as show...

A: Given information: A fence and tall building & ladder form a right-angled triangle such that, W...

Q: Evaluate the integral using the following values. 9. 9. dx = 320, x dx = 16, dx = 4 x dx

A: Given,           ∫26x3 dx=320,   ∫26x dx=16,  ∫26dx=4

Q: solve a differential equation

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Q: Explain why a matrix that does not have the same number of rows and columns cannot have a multiplica...

A: Why a matrix that does not have the same number of rows and columns cannot have a multiplicative inv...

Q: Suppose thirty-six (36) students signed up for classes during an orientation session. If exactly twe...

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Q: Consider the series >`ar where k=1 ak = k In this problem you must attempt to use the Ratio Test to ...

A: Given, ak=k34k To determine whether the series ∑k=1∞ak converges by the ratio test.

Q: Test the series below for convergence using the Ratio Test. n + 4 32n +2 n=1 The limit of the ratio ...

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Q: An isosceles triangle whose equal sides form an angle θ and whose third side has length t sits on to...

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Q: I need help solving this question.

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Q: Determine the following limit: In(12æ) lim %3D (12x

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Q: Find all the local maxima, local minima, and saddle points of thefunctions ƒ(x, y) = x3 + 3xy2 - 15x...

A: Concept:   The calculus helps in understanding the changes between values that are related by a func...

Q: Evaluate the difference quotient for the given function. Simplify your answer. f(x) = 5+4x- x2, f(3 ...

A: The given function is: fx=5+4x-x2. Now, to find the value of the difference quotient rule, first, fi...

Q: Let y = f(x) be implicitly defined by xsin y = ycos x. Compute y' in terms of x and y.

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Q: Assume b + 0 and compute -4 tan- (bx + c) dx . Your answer should be in terms of b and c. -4 tan- (b...

A: Given: ∫-4tan-1bx+cdx

Q: A Norman window has the shape of a rectangle surmounted by a semicircle. (Thus the diameter of the s...

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Q: Consider the series )ar where k-1 ()* ´k+ 2` ak k In this problem you must attempt to use the Root T...

A: Consider the given series, ∑k=1∞k+2k-k2 then ak=k+2k-k2 apply the root test, L=limk→∞akk=limk→∞k+2k-...

Q: A delivery company wants to come up with a package box that has a square base and a volume of 40 cub...

A: Given, Let's assume the side of the square base = a Height of the box  = h Volume = area of  base * ...