Write the general antiderivative. (Use C for the constant of integration.) x2+1 dx 5x Need Help? Read It

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A: topic   -  differential equation 

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Q: Find dy/dx of the following functions. A. y = x⁵tan5x B. y = esec2x

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Q: 2. Use the Integral Test to determine if the series 1 (n+ 2)/4 n=1 converges or diverges.

A: Given problem:-

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

Q: Question 8 Evaluate the Integral J sin³y cosy dy. A - sin4y +C B -sin3y +C - sin*y +C -sin³y+C D

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Q: Determine if y = ex is a solution to y′′′- 12y′′ + 48y′- 64y=0

A: y'= ex  y"= ex  y'"= ex 

Q: CHAIN RULE DERIVATIVES 5.).968)= (7-6W)" %3D 6. 120° (70 +2)" 7) g(x) = 13 bc 5o+ 4c+ 9 }

A: As per bartleby guidelines we only give first question answers. 

Q: Find lak| for the series. 00 k k k + 12 k=0 (Express numbers in exact form. Use symbolic notation an...

A: The series ∑k=0∞kk+12k

Q: CHAIN RULE DERIVATIVES glx) = (2 -7x)" %3D 2.) G) - 52 3) y- (6+5t-t) 4.),9(x) = (4u* – eu

A: As per guidelines we can solve only one question at a time so the derivative of first  question can ...

Q: 3. Use the Comparison Test to determine if the series 5n – cos 2n - n³ + n² + 1 n=1

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Q: Find the absolute maximum and minimum of f(x,y)= 4xy^2 - (x^2)(y^2) - xy^3 on the closed triangular ...

A: f(x,y)=4xy2-x2y2-xy3fx=4y2-2xy2-y3fx=04y2-2xy2-y3=04-2x-y=0 ...(1)fy=8xy-2x2y-3xy2fy=08xy-2x2y-3xy2=...

Q: Consider the points A(3, –3,5), B(5, –5, 2), C'(-1,–4, 2), and D(4, 1, –8). (a) Find the volume of t...

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Q: 9.13 Solve: X1 + x2 – x3 = -3 6x1 + 2x2 + 2x3 = 2 -3x1 + 4x2 + x3 = 1 with (a) naive Gauss eliminati...

A: As per Bartleby guideline I can solve only one part , if you want other pls repost .

Q: S (1 – cot² x) dx b)

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Q: (14) = (x – y + 5)? dx dy %3D dy (15) (x² – y²)" – xy = 0 dx dy (16) 2xy = x² + 2y² %3D dx

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Q: 3. Use Gauss-Jordan Method to find the solution of the system of equation below. Enclose the Gaussia...

A: In this question we have to find the solution of the system of the equation using the Gauss-Jordan M...

Q: 1 x?g* dx. -1

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Q: The sum of squares of two consecutive odd numbers is 130. Find the sum of the numbers. Let: x = 1st ...

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Q: find, if they exist, the absolute minimum and maximum of the given function on the interval [0,7]. R...

A: find, if they exist, the absolute minimum and maximum of the given function on the interval [0,7]. R...

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A: We use elogu=u and l- hospital rules in this question to find limit.

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Q: 9 y= Arctan( 1-2x

A: Use simple differentiation twice to get the answer.

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A: Given problem :- Because of heavy rainfall, the water level in a reservoir is rising at a rate of g(...

Q: 12y – r > -36 ²+4y² < 36 (a) Sketch the graph of the given system of inequalities and shade the solu...

A: Given: 12y-x2≥-36x2+4y2&lt;36 To Find:  a To sketch the graph of the given system of inequalities an...

Q: xcos³x² The S dx is 1-sin x? sin?x² + C {c}sin x² +sin²x² + C {D}sin x? –sin²x² + C { A} sin x² 2 4 ...

A: This question can be solved using integration by substitution.

Q: Verify that the series n4 + 1 n=1 satisfies the conditions of the Integral Test, then use the Integr...

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Q: in central pivot irrigation, a large irrigation pipe on wheels rotates around a center point. A farm...

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Q: メメ m FCX) メー」 メー メ 0.9 0.99 0.999 1.ool 1.01 flx)

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Q: If a rock is dropped from a height of 249 ft, its poistion t seconds after it is dropped until it hi...

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Q: Evaluate the integral x Inx dx Select one: 3 3 O ri Ina- +C O 3 Inz In r- +C O- In z- +C O None of t...

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Q: +00 Σ 4 Determine if the series converges or diverges. If it converges, find its sum. n² + 4n + 3 n=...

A: ∑n=1∞ 4n2+4n+34 ∑n=1∞ 1n2+4n+3 an =1n2+4n+3Applying series comparison test;1n2+4n+3&lt;1n2checking c...

Q: x +1 limx→∞ х3 — 1

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Q: 10. x= cost; y = sin't

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Q: Sketch the level curve of the function y? f(z, y) = %3D 9. 16 for c = 1.

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Q: 4) Factor fully. a) x3 + 4x² + x – 6 b) 2x3 – 9x² + 7x + 6

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Q: For what numbers​ x, −2π≤x≤2π​, does secx=​1? For what numbers x does secx=−​1?

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Q: Given that n21 and xn = V5n2 + 2n -3n 00 1. Will {xn}, be divergent or convergent? 2. Will E=1Xn be ...

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Q: 6. . Suppose that Y,,Y,..Y, form a random sample from a distribution for which the p.d.f. is as foll...

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Q: fa) - 6x + 5X-! (- o, A).(A,B)(B,C) and (C,) where Important inte A and C are the critical numbers T...

A: Let's find. 

Q: 3. Determine whether each of the following series is convergent or divergent using the appropriate t...

A: a) summation of  n/(n3 + 1). b) summation of (n2 + 1)/(n3 + 1). c) summation of n3 / 5n.    

Q: 7. Let C be the curve y = 3x for 0 <x S 1. 0.5 Find the surface area of revolution of C about the x-...

A: Given: y=3x3 for 0≤x≤1

Q: Determine whether the given series is convergent or divergent. +oo 5n + sin? Σ - | sin n| а. 3" n=1 ...

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Q: Evaluate the integral: ſo (x³ – 5æ + 7)dx. Select one: O None. 19

A: Given :∫01(x3-5x+7)dx

Q: dx

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Q: To evaluate the integral dz, we use Select one: Substitution with z = 2 sin 0, where 2 O Substitutio...

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Q: 2. Evaluate lim x-4x+1 X-1 x-1

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

Q: By u = 1+ substitution, the definite integral z(1+ z)"dr is equal to Select one: O(1-u)u"du o (u-1)u...

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Q: Use the First Derivative Test to find relative (local) maximum points or minimum points, if any, of ...

A: Find first derivative and get the stationary points then find local minima and local maxima.