Use Integration by parts to aompute the ntegral from! (4x)dx and 3 Inxdx

Q: To the nearest tenth, what is f′(k) if f(x)=0.09e^xln(x) and k=8?

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Q: Find the Taylor series generated by fat x = a. 3 f(x) = a = 1

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Q: Differentiate y= 5x+5 dx

A: Given query is to find the derivative of the expression.

Q: Use the Integral Test to determine whether the infinite series E 41 is convergent. (Use symbolic not...

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Q: Test the series for convergence or divergence. 3.7.11 (4n – 1) · (5n – 1) * 4. 9. 14... n=1 Part 1: ...

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Q: integral f theta^2  cos 3(theta)   d theta

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Q: For the curve xy+ x²y – xy² = 1, use implicit differentiation to find the equations of the tangent l...

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Q: all subsequences of a sequence converge, then the sequence itself converges. true or false

A: Topic:- algebra   

Q: The ideal gas law PV = nRT gives a relationship between the pressure P in pascals (you can read abou...

A: Given: The ideal gas lawPV = nRTP : pressure                           variableV : Volume           ...

Q: Find all the values of x such that the given series would converge. 4" (x – 7)" Σ n + 7 n=1 Answer: ...

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Q: 7) Find the radius and interval of convergence for the following power series. Sn°(x – 2)" 2n n=0 Ra...

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Q: Use the Ratio Test to determine if the following series converges absolutely or diverges. E (- 1)nn ...

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Q: 5. An airplane is flying at an altitude of 8,000 feet with a speed of 600 feet per second. If the ai...

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Q: Determine convergence or divergence by any method. 00 (-1)"n n=0 Vn2 + 9 The series diverges. conver...

A: The given series,       ∑n=0∞(-1)nnn2+9

Q: Find the volume of the solid obtained by rotating the region below the graph of y = e-2x about the x...

A: Given problem:- Find the volume of the solid obtained by rotating the region below the graph of y = ...

Q: ) Show that the gradient of a scalar function f is a vector along the normal to the level rface whos...

A: Follow the procedure given below.

Q: Express the vector t as a linear combination of the vectors u, v and w: t = (5,30, –21), и %3D (5,2,...

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Q: equations. 1. (D2 + D)y = sin x %3D 2. (D2- 4D+ 4)y = e* 3. (D2 – 3D+ 2)y = 2x3 - 9x2 + 6x 4. (D2 + ...

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Q: 137 What is the value of cos-(cos d) where d = 15T radians? If undefined, enter Ø. 2 Provide your an...

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Q: Determine whether the improper integral converges and, if so, evaluate it. (Use symbolic notation an...

A: Given the improper integralI=∫01ln(7x)dx

Q: 2. Use central difference approximations to estimate the first and second derivatives of y = e* at x...

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Q: Write -4 +3i in polar form A) 5 L 38.87° B 5 L<216.87° (c) 5L<323.13° D) 5 L<143.13°

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Q: The great Swiss mathematician Leonhard Euler sometimes reached incorrect conclusions in his pioneeri...

A: Euler deduce that 12=1-1+1-1+1-1+......and-1=1+2+4+8+......by substituing x=-1 and x=2 in the formul...

Q: ах? + с, x < -2 a) Given f(x) = }bx + 8, - 2<x < 3, determine the values of a, b, and c if: -2c, x2 ...

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Q: lim (3+ 2)

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Q: integral f y^2 e^5y dy

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Q: Write the first five terms of the sequence: {Vn² +n – n}, n=1 Determine whether the sequence converg...

A: given sequence n2+n-n1∞  

Q: The e half- lite of a ra to actine material 1S lle years. Sunppose we have a 10amg sa, How much of t...

A: Given:   T = 110     N0 = 100     t = 30

Q: 14) Find the eccentricity, identify the conic, sketch the conic, labeling the vertices, foci, direct...

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Q: Consider the power series (-1)"(2æ – 5)" n=1 Vn + 5

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Q: 1. Let y be the part of the curve y =r² running from (-1,1) to (2,4). Calculate ry dr + (x+ y) dy.

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Q: 1 2 3 4 5 6 7 8 9 10 11 12 13 1500 12 Sarah needs to cover a triangle that has a base of 34 inches a...

A: This is a basic geometry problem

Q: 4) Determine if each of the following series is convergent or divergent. (a) En=1 n4" n-1 Inn (b) En...

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Q: In the 1990s, significant numbers of tourists traveled from North America and Asia to Australia and ...

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Q: If s(t)represents the position of a function, in metres, at time t, in second what does the expressi...

A: s(t) represents the position then  limh→0s(3+h)-s(3)h represents the velocity at time t=3 seconds Co...

Q: Given sets X and Y. For x EX and for y E Y, we form the Cartesian produc X x Y := {(x, y) : x E X, y...

A: Given that: X={-1, 1}Y={-2, 0, 2}

Q: Determine whether the statement is true or false. The geometric series a + ar + ar? + · ..+ ar" + .....

A: This question is related to sequence and series, we will solve it using given information.

Q: 3) Use the method of cylindrical shells to find the volume generated by rotating the region bounded ...

A: This question is based on cylindrical shell method integration.

Q: Find the Taylor series generated by f at x= a. f(x) = 2 X a = 1 Choose the correct answer for the Ta...

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Q: The graph of y = \xl, shifted 9 units to the left Oy = |x - 9| O y = |x| + 9 Oy = |x + 9| Oy = Ixl y...

A: If a function is given as y=f(x), then To shift it up wards by k units we use y=f(x)+k To shift it d...

Q: The count of a bacteria in a culture was 5 initially and doubles every 30 minutes. Find the size of ...

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Q: 24.) The radius r of a circle is increasing at a rate of 4 centimeters per minute. Find the rate of ...

A: Area of the circle , A =πr2 ; where, 'r' is the radius.

Q: Sx² sin x dx

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Q: (a) Find the equation of the secant line joining the points (-1, –4), and (3, 0). y= (x+1) - 4 (b) U...

A: Given query is to find the equation of the tangent line at 1 and graph the function with tangent and...

Q: (a) Find the series' radius and interval of convergence. Find the values of x for which the series c...

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Q: (a) Find the series' radius and interval of convergence. Find the values of x for which the series c...

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Q: 25.) Find the radius of curvature of a parabola y? - 4x = 0 at (4,4).

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Q: Consider the following function. y3D - 2x + 2 (a) Find y' = f'(x). (b) Find the critical values. (En...

A: ANSWER: As per guidelines we can do only first three subparts , the solution is given below : 

Q: Let g(x) = -1/x2. Evaluate lim g(x) x→0 by drawing its graph. a. ∞   b. 1    c. 0    d. -∞

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: 9. | cos (2r) dt

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