Evaluate: thr (,5_ 3) ² dr A 2(r-3) 3 B +C 3 2(,5– 3) ? +C 15 4nr D 4.

Q: -5 1 -2 0 3 4 12 -1 3 B| Find AB for : A = |1 B = 5 4

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Q: Question 57 A scientific sample of radium-2 decayed to 81% of its original amount after 2 years pass...

A: I am attaching image so that you understand each and every step.

Q: 1) Consider the function f(x) = In(x + 5) + x + 5 Verify that the function F(x) = x In(x + 5) is an ...

A: Explanation of the answer is as follows

Q: ex Evaluate 1 + e A arc sin e^x + C B arc tan e^x+c arc cot e^x +c

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Q: Determne whether the hamit exitis or not when a)x3 and b) x→ -3 x²-9 when x< -3 F(x)= 9-x² when -3< ...

A: Limit exists if, LHL = RHL Limit does not exist if, LHL≠RHL

Q: 00 Does the seriesE 1 converge or diverge? Give a reason for your answer. 15n - 1 n=1

A: 1P- Series Test:The series ∑1np = 11p + 12p + 13p + ...1. Covergent if p&gt;12.Divergent if p≤12 Com...

Q: Find the equation of the tangent line to the graph of a+ y = 3 at the point (1,4). 1) y - 4 = 2(x - ...

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Q: Evaluate the integral below using any appropriate algebraic method or trigonometric identity. T/6 2 ...

A: Find your answer below 

Q: A manufacturer spends z thousand pesos on labor and capital. The number of units of labor obtained b...

A: We need to interpret the problem for given data.

Q: For sets A and B, define A+ B = {a +b: a € A, b e B}. (a) Prove that if A and B are open, then A+ B ...

A: Let X be the topological space and A,B⊆X where A and B are compact Let {Xα}α∈I be and open cover of ...

Q: Given the demand function D(p) = 125 – 4p?, Find the Elasticity of Demand at a price of $1 At this p...

A: topic - derivative of a function 

Q: Evaluate the integral by first performing long division on the integrand and then writing the proper...

A: Given problem:- Evaluate the integral by first performing long division on the integrand and then wr...

Q: Find the average rate of change of the model from 2003 through 2008. Interpret your answer in the co...

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Q: Two concentric circles centered at O with radii r and R(r < R) are given in the picture: R What can ...

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Q: 1 The region bounded by the graph of f(x) and the x-axis between x = 0 and x = 9 %3D 1+ x2 is revolv...

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Q: 3 1 321 A = B = 2 2 654 1 3 1. What is the size of A? 2. What is the size of B? 3. Is AXA defined? I...

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you ar...

Q: Find the difference quotient and simplify your answer. f(x) – f(64). X – 64 f(x) = x2/3 + 1, X # 64 ...

A: Given that f(x)=x23+1 . We have to simplify the difference quotient. Given that,                 f(x...

Q: x² + y² = (3x² + 2y² – x)², (cardioid) 0, y 0.5 -0.5 0.5 1 -0.5

A: Giv:    x2 + y2 = ( 3x2 + 2y2 x )2     Point: ( 0 , 1/2 )

Q: メク-2x dx メナをメ

A: ∫x3-2xx3+xdx

Q: A limestone stalactite grew in length at a rate of – of a millimeter per year. At this rate, how man...

A: Given the limestone is growing at a rate of 18mm per year i.e. 0.125 mm every year

Q: Let y = - ty + 0.ly and y(0) = 0.77. Use Euler's method to find approximate values of the solution o...

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Q: Consider the following functions. f(x) g(x) = 3x + 9 Find (fo g)(x). Find the domain of (fo g)(x). (...

A: Here f(x)=2/x and g(x)=3x+9 (1) (fog)(x)=f(g(x))              =f(3x+9)              =2/(3x+9) The fu...

Q: During a nine-hour snowstorm, it snows at a rate of 2 inches per hour for the first 4 hours, at a ra...

A: We have to find piecewise defined function.

Q: Which of the following statement/s is/are true of the function whose graph is shown below? 30 -4 -3 ...

A: From the given graph we can see that- - Since the graph at x=-3 contains a hole, Hence     the value...

Q: During a nine-hour snowstorm, it snows at a rate of 2 inches per hour for the first 4 hours, at a ra...

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Q: a4 a*dy= +C Ina A True B False

A: topic - indefinite integral

Q: Q3:A| Prove that:- cos x 1) 1+sin x 1+sin x = 2 sec x cos x tan? x 2) tan? x+1 = sin x

A: topic - trigonometric identities

Q: Graphs of the position functions of two particles are shown, where t is measured in seconds. (Enter ...

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Q: Evaluate each of the following integrals. 1. S cos5 x Vsin x dx 2. S sin* 3x dx

A: Let ,I=∫cos5xsinx3dx⇒I=∫cos2x2.cosxsinx3dxWe know that , cos2x=1-sin2(x)I=∫1-sin2x2.cosx.sinx3dxPut ...

Q: Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. Зд 2 = sin...

A: topic - sequence and series

Q: Evaluate the iterated integral. 3 4 y+5y) dx dy 10

A: The given integral,      ∫13∫04x3y+5y dx dy

Q: Use f(x) = 5x - 6 and g(x) = 4 - x2 to evaluate the expression. (a) f(g(0)) 25x – 30 (b) g(f(0)) -12...

A: f(x) = 5x - 6 g(x) = 4 -x2 now  f(g(0)) = f(4-x2 ) = 5(4-x2 ) -6                           =  20 -5x...

Q: Evaluate the function for the given values. h(x) = [[x + 6 ] %3D (a) h(-5) (b) hG) 2 (c) h(4.6) (d) ...

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Q: What does P =

A: Intial polpulation =17000

Q: Select ALL possible answers. * Which of the following is/are the point/s of discontinuity of the fun...

A: For a function to be continuous - The left hand limit should be equal to the right hand limit and bo...

Q: Test the series below for convergence using the Ratio Test. 3" п! The limit of the ratio test simpli...

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Q: Find the exact value of cos(sin-G)) COS

A: Solving the problem by finding the exact value.   NOTE :: As per our Expert guidelines we are suppos...

Q: Give an example of a geometric series whose sum is T (recall that geometric serie begin with = = 0).

A: Hello learner, we can answer first question as per the honor policy. Please resubmit other question ...

Q: 1 Σ m=1 n(1+ In*(n) 2(n).

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Q: This graph shows the time taken by two runners to complete the first six laps of a 1500-m race. 350 ...

A: we observe that in first three laps ,B is taking less time as compared to A ,so B is leading then in...

Q: A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley ...

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Q: Find the extreme values of f(x, y) = x² + y² + 4x – 4y inequality x? + y² < 9. on the region describ...

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Q: Determine the limit of the following 1.3) lim x--> 0 ( 1/x (1/3 - 1 / sqrt x + 9)) 1.4) lim --...

A: limx→01x13-1x+9  

Q: Evaluate: / 3'/ | 3° +4dy A 3' +4) : In27 +C A 2 (3+4) +C B.

A: Integration

Q: Select ALL possible answers. Which of the following is/are true of f (x) = x²(x + 3)²? A. The functi...

A: answer C the function is continuous everywhere because here  not any value of x in denominator  so i...

Q: Find the shortest distance from the point (2,0, –3) to the plane x + y + z = 1.

A: This is a problem related to geometry part. Based on the concept of plane and point we will find the...

Q: *+9x +20x Determine all the vertical asymptote/s of f(x) = if there are any. x* +x-12 X=-5

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Q: (a) Plot the first four terms of the sequence 3n? – 3n + 2 n=1

A: We have to plot the first four terms of the given sequence.   According to our guidelines we can sol...

Q: Find the general solution of the differential equation: y'+4y=xy^3. Use lower case c for the constan...

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Q: Determine if the sequence {a,} converges or diverges. Find the limit if the sequence converges. (- 1...

A: Here we have to determine whether the sequence {an} converges or diverges.