Calculate y'. y = ln(x ln x)

Q: (√²+2) dt

A: We have to integrate to given function

Q: Question 2 Given a differential equation as d²y-5x dy +9y=0. dx² dx By using substitution of x = e'…

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Q: Using Trapezoidal method √²³x² dx for n = 4 is equal to

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Q: 1. INTEGRALS AND ITS APPLICATIONS x2- √(¹-2)² dx S

A: Solution is here

Q: For questions no. 2 and 3. Given: A thermometer reading is 60°F at 3:00AM and a Civil Engineering…

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Q: (3x² + 5x-2) dx

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Q: 3x+ +4x +4y² = 25x³

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find -x-1 lim 1-0 I² O does not exist O-1/2 O 0 O 1 O 1/2 O Other:

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Q: 1. x + y + xy = 21

A: We will use simple differentiation rules to solve this question.

Q: 04; pag 3: pas duas + yoya Sugupo 3n+1-1 n 3n J-1 25

A: Given    for n =1  for n = 2  Therefore series decreasing.

Q: y=Arccos (x²)

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

Q: 1. Consider the function f : R² → R such that f(x, y) = 2xy² + x² − 2xy = y + 1. (a) Write down the…

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Q: 3. Lim In(x+1)3 x →∞0 6x

A: We can evaluate the limit as below.

Q: For questions no. 4 and 5. Given: Radium decomposed at a rate proportional to the quality of radium…

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Q: What is the value of C?

A: We have to find the value of C.

Q: 10x-2p-3x-1p

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Q: T Shift Ctrl -3 S x²4x +3 2 1 X(X + 1)² dx

A: First we take partial fraction then integrate.

Q: (a) Find the point of intersection of the tangent lines to the curve r(t) = (2 sin(at), 3 sin(at), 5…

A: We have to find equation of tangent.

Q: dx x² - 4x + 19

A: Given,  ∫1x2-4x+13dx

Q: Determine the area of the triangle bounded by the coordinate axes and the tangent to ² - y = 0 at x…

A: Let's find area (A).

Q: Given two lines in space, either they are parallel, they intersect, or they are skew (lie in…

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Q: 3. f(x)=(5x² - 4x³ )³(secx + tanx)³

A: Given; f(x)=(5x2-4x3)3(secx+tanx)3.

Q: Find the surface area when C {(x, y): 0 ≤ x ≤ 2; y = 1 is revolved about the y-axis.

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Q: The reverse order of fo Say હરે e² dxdy is equal to e-1 8e None of them

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Q: Show all the necessary figures and solutions to each of the following problems. 1+x² 1. Find the…

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Q: Lim x-0 e³ +ex -x²-2 sin² x-x²

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Q: 2 S²3 (x²-3x+18) 9x-X³

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Q: evaluate the limit and simplify. Complete solution.

A: Evaluating the limit

Q: Find the radius of convergence and interval of convergence of the series –3)”.gn 'n + 1 n=0

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Q: The length of a rectangle is given by 4t - 3 and its height is √2t, where t is time in seconds and…

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Q: 8. A street light hangs 24 ft. above the sidewalk. If a man 6 ft. tall walks away from the light at…

A: We can find the required as answer as below.

Q: 28. After 500 years, a sample of radium-226 has decayed to 80% of its original mass. Find the half-…

A: Let A is original amount, A=100% Given t =500 year, At= 80%A At=20% half life h=?

Q: find given f (x, y) = eª + 2xy² – 4y at (0, 3) af dy'

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Q: = In ( ²² +2²³v-_-²³ ) · then x +y is da by x-y If the function u = ln

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Q: The reverse order of 4 So Say ex² dxdy is equal to e-1 8e None of them

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Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESULTS. 2x³+2x²+2x+6 1. Lim x3+4x+3…

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Q: B/Find the oblique asymptote of the function f(x) -3x²+2

A: The function is f(x)=-3x2+2x-1

Q: Find the critical points and the interval on which the given function is increasing or decreasing,…

A: A critical point is a point where the derivative of the function is 0 or does not exist. At critical…

Q: SHOW COMPLETE SOLUTION (NO SHORTCUTS PLEASE) !!! Topic: Differential Equations Initially 100 mg of a…

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Q: SOLUTION

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Q: 3. Use Use the disk method to determine the volume of the solid obtained by the revolving the region…

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Q: 2 = xey + yex, Find x az z дх' ду

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Q: 3. The auxiliary equation of the differential equation (D² - 6D+9)y = 0 falls under Prove your…

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Q: Lim X-0 √1+x-√1-x x

A: evaluate the limit limx→01+x-1-xx

Q: 2. The Minimum point of y= 8x+4 (x-2)²

A: To find the minimum point of y=8x+4x-22.

Q: 25. (x + 2y)dx + (2x + y) = 0 A. Exact B. Not Exact 26. (2xy2-3x2)dx + (x² + 2y)dy = 0 A. Exact B.…

A: as per bartleby guidelines i can solve only first 3 questions, please ask other separately

Q: (3x² + 5x-2) dx

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Q: If = (6,-5) and a = (-2,6), find |2c +3.5d|. O √146 O 16 O 2√73 O 5√11

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Q: Determine the intervals on which the given function is concave up or concave down and find the…

A: Given,f(x)=4xe-9xWe know that,An inflection point is a point on the graph at which the second…

Q: lim (lnx) = . x →+∞

A: