A. 5x + 6+ 4x

Q: dx The integral S ex+1 reduces to f k au, where u = f(x) and for some constant k . Compute f (1).

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Q: .......

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Q: If cotx 12 find the other trigonometric %3D functions

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Q: cot 2x dx J Vcot2x – 15 cot²2x

A: Here we have to evaluate I=∫cot2xcot22x-15dx

Q: Question 2 If S(16x4 – 16x³ + 4x²)dx = F(x) + C, then F(x) 16 A 5 4 x3+4x4 3 B (4x² – 2x) 3 16 4 x3 ...

A: The given integral is 16x4-16x3+4x2.

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A: Given

Q: " + y = 12 cos 2x - sin x. A. " + y = sin 3x +4 cos x. A

A: Given: y''+y=12cos2x-sinx

Q: Find the indefinite integral. (Use C for the constant of integration.) 4 cos(0) – 1 OP

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Q: obtain the Maclaurin series for V1+x.

A: We need to find the Maclaurin series for 1+x9

Q: If the solution to ſe2* sec²(e²×+1)dx is equal to k tan(e2x+1) + C , find the exact value of k.

A: We know, ∫sec2(x)dx=tan(x) ddxemx=memx

Q: 1+ In x Find f(x) so that when u f(x) the integral tan( fx) dx can be rewritten as cot u du. A) x- x...

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Q: Use sigma notation to write the Taylor series about x = xo for the function. 4 In x; xo = 1

A: Taylor series of function fx at a is defined as:       fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x-a3+…=0+ddx...

Q: Find the indefinite integral. (Use C for the constant of integration.) sin x dx 3 + cos? X

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Q: Factor out the GCF in the following expressions. 1. 2x - 8 6. Зx? - 9х 7. 5x + 3x 8. 12x - 8

A: according to our guidelines we can answer only three subparts and rest can be reposted

Q: Q5) Use the Chain Rule to express dy /dx in terms of x and y: y = csc t аnd x = sec-1t

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Q: Solve using the U-Technique Question 5 The integral / 2 *)cos(2*) dx takes the form k/ cosu du when ...

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Q: Determine f(x) so that cos(In²x) f (x) dx = sin(In²x) + C

A: Let t =log2 x and follow step 2nd . 

Q: (-4x-12) dx For J x+10)³ (x-4)³ F(x) – 1. What is F(3)? -

A: Given: ∫-4x-12x+103x-43dx=Fx-1   ...(1)  

Q: Write the factored form of the

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Q: Determine whether the following sequence is convergent or divergent. Justify your answer. {1+u^ = w^...

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Q: x² + y? = r2 O y = - y' = - y

A: topic - differential equation

Q: 1. Evaluate (3260)"]" × (-5+ j6) (cos(3 + j5)]1-/) Sin sin-

A: We have to find: sin-13∠60°3*×-5+j61jcos3+j51-j. We will find the interior parts first on different ...

Q: Determine whether the series converges. 17 19k k=1 The series converges eTextbo diverges

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Q: Given A=3az +3ax -2ay, B=2ay -ax +5az, C=3ax +2az +2ay and D=-ay +3ax -2az. Find scalars a, b and c ...

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Q: sin S S. cossx (3-2secs)

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Q: 2. @-2-6X8-マメーメー3メー6時+2

A: f(x,y) = 2x2-3y-4∂f∂x =ddx(2x2-3y-4)∂f∂x=4x∂2f∂y∂x =ddy(∂f∂x)∂2f∂y∂x =ddy(4x)∂2f∂y∂x =0∂2f∂x2 =ddx(∂...

Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of int...

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Q: Which of the following is true about horizontal asymptotes? OAll rational functions have at least on...

A: Find your answer below 

Q: When the linear differential equation is multiplied by an integrating factor the equation will becom...

A: Answer of given question is written in below steps.

Q: Solve the system of linear equations given below. -11х1 + 13х2 — 15хз + 25х4 %3D 101 -19x1 + 33x2 + ...

A: Here is the solution

Q: Determine whether the series is convegent or divergent. If it is Convergent, find its sum. If s an=l...

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Q: Find A

A: A={4-1 22-4 21-2 1}Multiplying Row-3  by 2;A=12{4-1 22-4 22-4 2}[As multiplication by scalar effects...

Q: 2. Given: a, = 5, a4 = 14 Find: az =? а. 7 b. 8 с. 10 d. 12

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Q: Solve the following initial value problem for y as a function of x. dy x = /x? - 16, 3x dx x24, y(4)...

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Q: Car A is traveling west at 50 mi/h and car B is traveling north at 60 mi/h. Both are headed for the ...

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Q: 1+ In x Find f (x) so that when u = f(x) the integral dx can be rewritten as cot u du tan(f(x))

A: So our approach in this question by substitution method . We can assume a function u in terms of 'x'...

Q: (2x² +)x ;dx (x8 + 4x5 + 4x²)² Using u-substitution and transformation of the integrand, then the po...

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Q: H.W Find the Adjoint to the following matrix 0.5 01 X = -1 1 -0.8 2.2 2 -3.3

A: Let A =[ aij ] be a square matrix of order n. The adjoint of a matrix A is the transpose of the cofa...

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

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Q: Find dy da Given: x² – y³ = 2xy

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Q: What is the average rate of change of the functin g(x) = 2x^2 -9 on the interval [4,7]

A: g(x)=2x2-9 on the interval [4,7]

Q: Find the particular antiderivative that satisfies the following conditions: 10 10 H' (x) Н(1) %— 0. ...

A: H'(x) = 10/x2 -  10/x7 find H(x) = ? so we have to integrate it H'(x) = 10x-2 - 10x-7 H(x) = -10/x +...

Q: Evaluate the integral. x2 e dx +C

A: Here, to evaluate: ∫8 x2exdx=8∫x2exdx

Q: Solve the initial value problem. d²y = 2 e -X, y(0) = 0, y'(0) = 4 dx

A: ∫ d2ydx2 =∫ 2 e-x dxdydx=2e-x(-1)+Bdydx=-2e-x+B ...(1)

Q: 4. The company uses wood and labor to produce tables and chairs. Recall that unit profit for tables ...

A: Follow the procedure given below.

Q: Suppose x = 6, 0 = 4 radians and ø 8 radians in the figure, which is not drawn to scale. Determine t...

A: x =6 θ = π/4 so apply trigonometric function tanθ = y/x y = xtan(π/4) y = x y =6 for right angle tri...

Q: Obtain the differential equation of the family of circles having their centers on the x-axis.  (x-h...

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Q: Fcx)-2メー3)ー4

A: As per our guideline we are supposed to be answer only one question you can repost other questions i...

Q: 4. If x - xy + y = 1, find y 3x a.) x-3y2 c.) d.) ay b.) 1-3y2 3y2. 5. If 3x? +2xy + y? = 1, then y ...

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Q: Solve using the U-Technique Question 18 dx du The integral S; reduces to f ka", where u = f(x) and f...

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