т?+2m Consider dm. If we let u = m + 1, what will be the resulting integral as a function of u? m+1

Q: Given h(s, t) = s In t – t ln s. What is the value of h(e, 1)? %3D

A: topic - functions

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A: Given query is to find the value of indicated angles.

Q: .......

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Q: Solve using the U-Technique Question 1 Consider the integral 2nx g(x) dx . There is a function g(x) ...

A: Given

Q: -1 sinx dx %3D

A: ∫01/2arcsin(x) dxIntgerate by parts ∫fg=fg=∫f'gf=arcsin(x), g'=1f'=11-x2,g=x=xarcsin(x)-∫x1-x2dxSubs...

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Q: e3x Let dx be given . If u = e* + 1, then the resulting integral is S f(u) du. Compute f(3). ex+1

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Q: Determine whether the series converges, and if so find its sum. 4k+2 Σ 7k-1 k=1 1) This series can b...

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Q: If the solution to fe sec (ex**)dx is equal to k tan(e**) + C, find the exact value of k 1. 2e 2e (0...

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Q: 1. Given: a2 = 12, a3 = 24 Find: ao =? a. 2 b. 4 с. 3 d.

A: Topic:- sequence and series

Q: Find the length of latus rectum of the curve x² – 6x + 12y – 51 = 0.  a. 12 b. 13 c. 14 d. 15

A: The given equation is;  x² – 6x + 12y – 51 = 0. 

Q: Evaluate f-4*3 dx In4 b,- -3in4 +C C. In 64 d. none of the above Evaluate f4x cosx dx a. sin x + C b...

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly re-post other...

Q: I. Evaluate the following function below. 3 2 1. S sin'y ( 2 – 3 cos y )´dy 9 3. S sin'x dx 9 4. J c...

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Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, c = 5 P4(x)

A: taylor series

Q: Set up a definite integral with respect to y (dy) (set up only, do not evaluate the integral) to fin...

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Q: Find the indefinite integral. (Use C for the constant of integration.) xp J xV81 - (In x)²

A: topic ,- indefinite integral

Q: Question 13 Using u-substitution, the integral S f(x)dx reduces to a new integral ſ g(u)du. If g(u) ...

A: Here, given that: ∫f(x) dx=x+ln (x-1)+c...(1)

Q: Evaluate the integral using tabular integration by parts. 4 x V2 x +1 dx +C %3D

A: LetI=∫ 4x32x+1dxPut 2x+1=u2x=u-1x=u-12differentiate 2dx=dudx=du2I=∫ 4u-123udu2I=∫ 4u-138udu2I=∫ 14u-...

Q: 6 for the Use sigma notation to write the Taylor series about x = function. 1 x+5 k =

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Q: Evaluate the integral. cos(5 x) dx

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Q: *e「ス+

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Q: xy'= y + 2x'

A: xy' = y + 2x3xy'-y = 2x3Dividing by x;y' -1xy = 2x2 ...(1)Comparing with Bernouli's equation;y'+P(x)...

Q: 5. The standard form of the first order linear differential equation dy-(cscx-ycotxldx=0is

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Q: Solve each of the following DEs by determining its integrating factr. y(xy+2)dx+(x²y+8x-4y²)dy = 0

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Q: Use the binomial series to find the Maclaurin series for the function. f(x) = V1 + x 1 f(x) = 1 + + ...

A: Let's find. 

Q: Determine whether the series converges. Σ 1 k=1 2k – 1 The series converges. The series diverges.

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Q: Given the curve in rectangular coordinates 36 = 1 16 Find the parametric equations given that whent ...

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Q: create a graph with labels of a function that  satisfies:  have one point where f(x)=-3, at least o...

A: Question- create a graph with labels of a function that satisfies:    have one point where f(x)=-3, ...

Q: The population model given in (1) in Section 1.3 dP = kP dt dP or (1) dt fails to take death into co...

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Q: dx +x tan y= dy sec y 1+tan

A: The given differential equation is; dx/dy +xtany=secy/(1+tany)

Q: Using the partial fractions technique, the function f(x) = 37x+82 can be written as a sum of partial...

A: ∫37x+82x2+2x-24 dxConsider 37x+82x2+2x-2437x+82x2+2x-24=37x+82(x-4)(x+6)37x+82(x-4)(x+6)=Ax-4+Bx+637...

Q: B In Problems 31-40, find the intervals on which the graph off is concave upward, the intervals on w...

A: Find your answer below 

Q: Find f(x)dx if 3. 3 4 f(x)dx = -7 and f(x)dx = 3 0. 4 f(x)dx %D 3

A: topic - definite integral answer is 10

Q: The function f(x, y) : 1+2? +y? is 1-x2 -y? discontinuous at the points {(x, y)\æ² + y² # 1}. True F...

A: f(x,y)=(1+x^2+y^2)/(1-x^2-y^2)

Q: A cylindrical tank with radius 7 m is being filled with water at a rate of 3 m/min. How fast is the ...

A: This question is based on application of derivative.

Q: Solve using the U-Technique Question 15 Given: S 5x? cos 3x³dx. If u = 3x³, then the resulting integ...

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Q: Set up a definite integral with respect to x (dx) (set up only, do not evaluate the integral) to fin...

A: Question: Setup a definite integral with respect to x dx to find the area of the region enclosed by ...

Q: Find the indefinite integral. (Use C for the constant of integration.) |zV 16z2 - 81 zp

A: ∫1x2+a2 dx = 1aarc tan(xa)+C

Q: sap pls i'm having a hard

A: We will find the Taylor polynomial. 

Q: 9. Evaluate f(e* + 2*) dx a.) 2e* + +C In2 b.) er + 2ln* + C c.) e* ++c d) e* + 2ln x + C In2 10. Ev...

A: Evaluate integrate. And follow step 2nd .  According to guidelines we solve only first three parts. 

Q: 1. Given: az = 12, a3 = 24 Find: ao =? а. 2 b. 4 с. 3 d. 5 2. Given: a, = 16, a, = 1024 Find: a, =? ...

A: 1)  a2=12 , a3=24    Since the terms are in geometric progression    ⇒a3a2=a2a1=a1a0=rconsider a3a2=...

Q: 5 Suppose that cos(0) = and 0 < 0<. 13 a. Determine the exact value of sin(0). Enter your answer as ...

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Q: Evaluate the integral by making a u-substitution and then integrating by parts. NOTE: Enter the exac...

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Q: A. F(x) = (1+æ) sin(x)+ B. F(x) = (1+ sin(x))(1+ c. F(x) = (1+ x)(1+ sin( %3D %3D %3D

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