determine whether the given series converge or diverge. 20. (-0.99) ¹+1 n=5

Q: Find all the values of x such that the given series would converge. (8x)" n11 n=1 The series is…

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Q: The United States population (in millions) is predicted to be P(t) = 317e0.01t, where t is the…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  take derivative

Q: ate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

A:

Q: z(t) = -2-t Find a plane through the point (5,6,-3) and orthogonal to the line y(t) = 8 - 8t z(t) =…

A: Given: 5,6,-3Orthogonal to the line xt=-2-t, y(t)=8-8t, zt=2+2t

Q: 3 Approximate (4+x²) dx using five equal subintervals. -3 An approximation for the integral using…

A: To approximate ∫-334+x2 dx by using five equal subintervals.

Q: Given g(x) = 9x + 5x, answer the following: Part: 0/3 Part 1 of 3 (a) Find g (-x). g (-x) = 0⁰ 0101

A: A function g(x) is even if g(-x)=g(x). A function g(x) is odd if g(-x)=-g(x).

Q: Consider the double integral f(x,y)=(x²+y2) 3/² over the region R where y is bounded between 0 and…

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Q: True or False: We have [x 3 Select one: True False xdx > [²x x² dx

A: Here we have to use the concept of integration

Q: Let C be the curve y = 12 11 10 9 8 7 6 5 4 15 x³ 1 + 4 3x 25 Find the arc length of C shown above.…

A: Use arc length

Q: Geometric Interpretations of Equations In Exercises 1-16, give a geometric description of the set of…

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Q: can you please write it clearly for a better understanding

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Q: Convert the rectangular coordinates to polar form (√8,√8) (4,5) (√2,72) Option 4 O (2,37) (4,5)…

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Q: 10 [.. 4 √x + 2dx = [Please enter your answer t format(For example: 3.14)]

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Q: Find ln(9.2) from ln(9.0) = 2.1972 and ln(9.5) = 2.2513 by linear interpolation and get the %error.

A: We need to find ln(9.2)

Q: True or False: The definite integral 2 1² is equal to Select one: True O False 2/₁² (2x + e*)dx xdx…

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Q: For the following function f, find the antiderivative F that satisfies the given condition f(v) =…

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Q: The national debt of a South American country t years from now is predicted to be D(t) = 70 + 18t4/3…

A: Given that the national debt of a South American country t years from now is predicted to be…

Q: -1-y 3) Evaluate the integral dxdzdy? 0

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Q: Find the equation of the line, in slope-intercept form, that TANGENT to f(x) = 3x² − 10x +1 at x =…

A: Given that fx=3x2-10x+1 at x=3Solution :equation of line in slope intercept…

Q: Find all relative extrema of the function f(x) = x² - 4x² + 2 by using the Second Derivative Test…

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Q: E Surface integral is used to find Density Area Surface Volume

A: Surface integral is used to find

Q: The value of the definite integral 3 [² (3x² Jo 0 is (3x² - 2x + 4)dx

A:

Q: Consider the triple integral of f(x,y,z)=(z²)(x²+y²+z²)¹/² over the solid region S where z is…

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Q: Find the general solution of the differential equation. dy dt 8 ,t20 The general solution is y=.

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Q: Put the following program in standard matrix form: Z = X₁ + X₂ X1+ 5x2 <5 2x₁ + x₂ ≤ 4 maximize:…

A: see below the answer and the explanation

Q: Solve DU 112 dx 4x+3 x³ + 2x² + x

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Q: Evaluate 2 6 (x + 2)√√/x-2dx

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: Consider a solid G, generated by rotating the region bounded by y = 2x² and y = 0 from would the…

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Q: (a)l. - Find a vector equation and parametric equations for the line that passes through the point…

A: According to bartleby guidelines for multiple question I can answer only one question.Thankyou

Q: puit 2 x³ = x²y sir (22²) X tije xp

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

Q: The value of the definite integral is Select one: O none of the others 45 6 30 -30 [² (3x² - 2x (3x²…

A: Topic = Integration

Q: The two vectors a = (-1,2,-4) and b = (2, -4,-8), are not parallel but are orthogonal. Select one: O…

A: Given vectors:- a=-1,2,-4 b=2,-4,-8

Q: Given y 2x² find 4.1 The interval(s) on which / increases or decreases. 4.2 The local maxima and…

A: We need to explain function.

Q: Given the points A(7, -2, -9 ) and B( 7, −2, 2 ). Question 3 a) [:] Write parametric and symmetric…

A: We have to find the equation of line and intersection of line and plane.

Q: (,1) Convert (5,5) to rectangular coordinates: (solve) Option 2 Option 3 (3√5,2) Option 4 Option 1…

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Q: ① use First_principle to solve 강종 If y=45-35

A: According to the company rule we can answer only first question and rest can be reposted.

Q: The value of the definite integral is Select one: O 16 3x²dx 0-8 O none of the others 08 0 0

A:

Q: find the tangent line of the function below f(x)=x+4/x and (2,4)

A: This question is based on finding slope to find out tangent line at a point.

Q: Let a = 5j + k and b - 27 + 3 + 2k. Find - 3ā – 36.

A: We can find the given vectors.

Q: Given the curve of y=6-x² and y=x+4. Sketch the graph for -3<x<3. State the intersection points…

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Q: B) Find the interval of convergence for the series n=0 xn √n² +3

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Q: Consider the graph of r(t) given below. -4- 2 |_y=r(t) 0 2 C) Find r' (2). [Select] 4 D) Find r'…

A: Given that graph of y=rtA.gt=sin3πrtg't=cos3πrt×3πr'tg'1=cos3πr1×3πr'1r'1=slope at…

Q: Convert the rectangular equation to polar form x² + y² = 9 (solve) rsino = 9 r=4.5 Option 4 O r=3 r²…

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: a.) S (t² – 9) (4 – t²) dt from 2 to 3 b.) fx dx from 1 to 2 c.) f (x² - d.) f sin 0 de from 0 to…

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Q: x² + y² = 7 X=7 O igular (solve) x² + y² = 49. - Option 1 O

A: Given that r=7  r2 =49 let x= 7 cos(theta) y=7 sin(theta)

Q: Solve the equation. dx 2x1² dt **** An implicit solution in the form F(t, x) = C is =C, where C is…

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Q: Use an area formula from geometry to find the value of the integral by interpreting it as the…

A: Find the value of integral

Q: The vectors u = (5, -4,0) and v = (-4,-5, 4) are orthogonal. Select one: O True O False

A:

Q: What interest rate was applied if a loan of ₱54,300 will amount to ₱83,000 after 2 years and 6…

A: NOTE: Refresh your page if you can't see any equations. . here we have P=54300 A=83000 t=2 years and…