dy Given that y = x² log2(6 – 5x), find dx

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: 2ху 6-dy 2ху+3y dx х+2ху ee

A: We put y=vx and solve the given differential equation.

Q: sec -dx = - 3 lIn sec - + tan 3 +C A True B False

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Q: Evaluate: A 4e". 4e+C B +C +C 4 D +C E None

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Q: 4 Find the area bounded by Y 0, y = 0, x = 2. %3D /144 – 16x? Round to four decimal places.

A: We have to use definite integration. 

Q: Use the Integral Test to determine if the series shown below converges or diverges. Be sure to check...

A: If integral value is finite then given series is convergent. 

Q: 1 Σ m=1 n(1+ In*(n) 2(n).

A:

Q: f(x) = 3x + 8 f(x) = - 2 *= 2 f(x) = -x? + 3x +9 x= -6

A: As per our guideline we are supposed to be answer only three subpart of question you can repost othe...

Q: The integral 3re dr can be evaluated by the substitution u = a?. Select one: O True O False

A: We put x2=u and differentiate both sides with respect to u and solve it. Follow 2nd step.

Q: Express the integrand as a sum of partial fractions and evaluate the integral. (Hint: factor the den...

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Q: (b) Then do the following: • If your answer is porsible, provide a specific example (a specific an) ...

A: D. Possible.     ex. an= 1n2  ⊙   limn→∞ 1n2 = 0 . Hence, an  converges.  ⊙  ∑n=1∞1n2 is converges b...

Q: At what point is the tangent line to the curve y° = 6x² perpendicular to the line x y - 9 = 0? NOTE:...

A: Since tangent line of the curve y3=6x2is perpendicular to the line x-y-9=0, then multiplication of t...

Q: Determine if the following sequence converges or diverges and find the limit if possible. Sin(n+ 1) ...

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Q: Determine if the following sequences converge or diverge. You must justify your answers. If they con...

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Q: - In²(Ine*) dx A In²x B B Inr Ine D Inx2 E) None

A: topic - definite integral

Q: If sin(a) and a is in QII, and cos(ß) = and B is in QIV, find cos(a+B)

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Q: when (x,y)#(0,0) then, of f(x,y) = when (x,y) = (0,0) %3D show that +(x,y) tunetion is continuos at ...

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Q: Write an equation for the line parallel to y : – 3x + 3 and passing through the point (4,-16) y =

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Q: Find a domain on which f(x) = (x −3)2 is one-to-one and non-decreasing, then find the inverse of f r...

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Q: Create an inverse variation problem, determine the equation, and graph it on a coordinate plane. Wri...

A: Please see the below picture for detailed solution. 

Q: -5 -4 -3 -2 -1 2 3 4 5 -1 -3 17x the above rational function f( x ) = identify its three infle 1.5x2...

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Q: Q5: Find the domain and range for:- (Answer two only) (1) F(x) = V5x + 10 (2) F(x) = 1 + x2 x²+1 (3)...

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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: 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: What is the volume of a cylinder

A: volume of a cylinder

Q: 1. Kgothatso showed her classmates that dx%3D (x- 1) Without showing Kgothatso how you would evaluat...

A: 1.AgreeGiven Integral can be evaluated with the formula :∫yndy =yn+1n+1here y =x-1 , n=-23   

Q: Which of the following is/are true of f (x) = x²(x + 3)²? %3D

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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>12.Divergent if p≤12 Com...

Q: Suppose f'(x) is continuous over an interval a < a < b, and a <c <d < b. If f'(c) = 9, then (check a...

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Q: The population of Hungary1 has been modeled by P=9.919(0.998)t, where P is in millions and t is i...

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Q: Consider the power series -1 3n" (x+1)" n! 1. n=1 What is the center of the series ? What is the rad...

A: An infinite series of the form                   ∑n=1∞ an(x-a)n is called power series centered at a...

Q: Use the nth-term test for divergence to show that the series is divergent, or state that the test is...

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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: -4 -4 At the point shown on the function above, which of the following is true? Of' 0 O f' > 0, f''...

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: Compute the surface area of the solid of revolution formed by rotating the bounded region formed fro...

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Q: For a continuous function f(x) on the set 2 [- 5,2], the net area Tx)dx must be -5 always positive S...

A: The given question has been solved in detail

Q: Consider the function shown below. What type of function is shown in this graph? O A. density functi...

A: This is a question of probability chapter. Based on the graph of PDF and CDF we will answer the ques...

Q: Find the values of x for which the given geometric series converges. Also, find the sum of the serie...

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Q: 181?action=Donresume&submissi G(x) = tan t dt. %3D G (1)=| G' (0) %3D G' (주) =

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Q: Eind equatons of the following x²-2y²+2²+ yz =20, [4,6-3) W the tangent plane 6 the normal line to t...

A: Solution: f(x)=x2-2y2+z2+yz-20

Q: Q4: Find the following limits if exist:-- x-1 x2-x 1) limx-1²+2x-3 2) limx-1 x²+3-2

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Q: If fi f(x)dx = and f f(r)da = 1, then 6 f(x)dris O None of the others. O 18 O 12 O 2 O 10

A: A detailed solution is given below

Q: Determine which law applies. Then solve the triangle. A = 44.7°, B = 35.3°, C = 100° Which law appli...

A: We have to solve the problem by finding wheather it is solved or not.

Q: Evaluate dw using the given information. 5x? + 4y? w = -; x= - 5, y= 3, z = 1, dx= 0.01, dy = - 0.08...

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Q: :G(x) = tan t dt. G (1)=0 G' (0) =0 G' (중) 3D

A: This question is based on definite integral.

Q: Express the set of numbers, x, satisfying |5x – 1| – 2 < 12 as an interval. Write your answer using ...

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Q: V tano do %3D V2

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Q: D. Evaluate et-2 tan vE 2t + 3 S 't² – 2t + 1 e2t

A: To evaluate: ∫et-2e2t, tan tt, 2t+3t2-2t+1dt=∫et-2e2tdt, ∫tan tt dt, ∫ 2t+3t2-2t+1 dt+A,B,C

Q: Set up an integral that represents the arc length of the function y = 4x4 + 5x from the point (0,0) ...

A: We have to find a, b and f(x)

Q: Select ALL possible answer/s. * On which of the following intervals is f(x) = continuous? Vx- [2, +0...

A: f(x) =1/x-2 for make f(x) contineous x-2 &gt;0 and  x-2 is not equal to 0 so x&gt;2 so our answer is...