3 sin (x) 4- V1-x2

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: Evaluate the flux integral F.S S where S is the surface given by 22 = x? + y?, 0 < z< 4, oriented up...

A: We have to find the flux integral according to the given information

Q: Let {an}n=1 be a convergent sequence such that a1 = v5 and an+1= /5an Compute lim an

A:

Q: Estimating an Angle In Exercises 7-10, estimate the angle to the nearest one-half radian. 7. 8. 9. 1...

A: Find your answer below 

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.

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: c). Classify the equation below with all the possible characteristics and properties of a differenti...

A: General form of Linear differential equation of first order and first degree is given by dydx+yP(x)=...

Q: 9. Evaluate the definite integrals (give exact answers): a) (2x + 3)(r – 5)dx b) e -(1³ – 2x² + 1)dx

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

Q: To evaluate the average value of the function f(x) 1- 3e* over the interval [1, 6] which of the foll...

A: The detailed solution is given below Thank you 

Q: The range of the function f(x, y) = 16-4x-9y is equal to: [0, 16] [0, 16[ This option This option [0...

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Q: ( (cos(2r) – sin(2x)cos(2x)) -dx =. For +C. What is F (x)? cos(x) – sin(x)

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Q: Use the integral test to determine if the series converges or diverges. Σ 1 5 n=1 (n + 2)7 8.

A: This is a problem of series and sum calculator. By using integral test we will identify the nature o...

Q: if 1 square unit = 10 square meters, and 1 liter of paint that costs 200.00 pesos can cover 13.33 sq...

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Q: Using the separation of variable method, solve the following differential equations dy а). = x³ y? %...

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Q: A particle moves in a straight line according to a law of motion s = f (t), t>0, v %3D in seconds an...

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Q: dx -= In[F(x)]+ C. What is F(/3) if C = 0? For (x+x3) (x Tan-!x+1) -1 (A 3 3 B (c) + - 6. 1 D + -15

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Q: True or False: To evaluate the integral dz, 9. we use substitution withr= 3 sec 0, where Select one:...

A: Option B

Q: 1dx

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: Here we have to find the unit vectors.

Q: Carbon decays exponentially. How many grams of the carbon will be left in 123 years, if 161 grams we...

A:

Q: つC 人ny dy de //ヶ。 1 = 1. 1.

A: solution:-∫12∫1xln yxydy dx=∫12∫1xln yxydy dx=∫12ln y22x1x dx=∫12ln x22x-ln 122x dx=∫12ln x22x dx=ln...

Q: Consider the function f(r) - on the interval 2, 6. Find the average or mean slope of the function on...

A: f(x)=1xInterval [2, 6]f(2)=12f(6)=16The mean slope=f(6)-f(2)6-2Mean slope = 16-124Mean slope = -44(1...

Q: Find the three positive numbers whose product is 27 such that their sum is as small as possible.

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Q: Using an operator , solve the following differential equations d2y/dx2- 10dy/dx + 25y= 0

A: This question is based on solution of differential equation using D operator.

Q: Use implicit differentiation to find an equation of the tangent line to the graph of the function at...

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Q: E and F are independent. P(E)=0.3 and P(F)=0.6 find P(EUF) and state answer rounded to 2 decimal pla...

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Q: eiz-e-iz 1. Show that Sin z 2i

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Q: True or False: To evaluate the integral tan a sec" zdx, we save one sec z factor and use sec z = 1+ ...

A: Answer: TRUE

Q: 19 (a) Solve In(2r)-3 In(z) 0 for r. (b) Use the following table to find the value of z from 7a-2- 1...

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Q: If cos? 0 – 3 cos 0 +2 = sin² 0 and 0 an acute angle, then the value of (4 cot 0 + 2 csc 0) is 8. 3 ...

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

Q: An equation of the plane passing through A(2,1, –1), B(0,–2,0), and С (1,-1,2) is: 7х — 5у — z %3 10...

A: We have to find an equation of the plane passing through A(2,1,-1), B(0,-2,0), and C(1,-1,2).

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the eract answers using the provide...

A: (a) The vector v→=9i→-12j→ as v=(9,-12). Let a vector in opposite direction of v=(9,-12) be u→. Fin...

Q: Consider the function f(I)= 6x +5x. For this function there are four important open intervals: (-0, ...

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Q: The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the propert...

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Q: Find the vector component of v = (4,–1, 7) along b = (1, 4, -8) and the vector component of v orthog...

A: Given: v=4,-1,7 &amp; b=1,4,-8   We know that; The expression for the vector projection v onto b is:...

Q: sinx sinx +x cosx - e +e The integral / dx may be written as me"sinx + px + qe* + C. where m, n, p, ...

A:

Q: If 0 be a positive acute angle satisfying cos² 0 + cos“ 0 = 1 then the value of tan² 0 + tan“ 0 is

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Q: What is the integrable form of sin() du

A: The given integral is: I=∫sinθ2cosθ2sin(θ) dθ=12∫2sinθ2cosθ2sin(θ) dθ=12∫sin(θ)sin(θ) dθ=12∫1-cos2θs...

Q: 4. Starting from the same point, Royden starts walking eastward at 0.5 m/s while Nilo starts running...

A: Draw a schematic diagram of given question.

Q: By u = 1+r substitution, the definite integral z(1+ 2)"dr z is equal to Select one: O(1-u)u" du o S ...

A: Topic = Integration

Q: Calculate the arc length of the following vector function. E(1) = 4 In i+j+ 4t k; 1sts2.

A:

Q: 2+ x², ={ 1 2* +2, 4 -2 <x<0 f(x)dx; f(x) 0<x<4

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Q: cos2x – sin2.x cos2x - dx = -F(x)+C. What is F(x)? 3 For cosx – sinx 1 (A (sinx – cosx osx) - B sinx...

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Q: Bernoulli Equation (17) y'+ () y = x³y³ (18) y' + 3x²y = 4x²y² (19) (x²yª – 1)dx + x³y³dy = 0 (20) x...

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Q: xtra questions: Find the Derivative of 8 1. y = 10 vx ++ x2 2. y = ta n(si n x) 3. у %3D cot?3x

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Q: d?y (2) dx2 2dy + 4y = 0 No boundary conditions

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Q: (a) Let (x, yo) be a point of the plane, and let L be the graph of the function f(x) = mx + 6. Find ...

A:

Q: Consider the function f(x) (-00, A, A, B), (B, C, and C, ) where A, and C are the critical numbers a...

A: Topic = Functions

Q: cos2x – sin2x cos2x dr%3D 3 For -dx =-F(x) + C- What is F(x)? cosx – sinx (sinx – cosx) 2 2 sinx +-c...

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Q: 9 y= Arctan( 1-2x

A: Use simple differentiation twice to get the answer.