is The value(s) of p for which the series 2n=1 (1+n*)=P convergent using the integral test: A) p2 1. B) p > 1. p< 1. D) p< -1. p = -1. C) E)

Q: II. Determine the derivative of the ff. logarithmic functions 4. y = 8 log , 7x² 5. y = - 5 log , (1...

A: As per our guideline we solve only first three parts

Q: The diagram below shows points P, Q and R. The coordinates of the points are given by P (2), Q(5, 6)...

A: Distance between the points P(x1,y1) and Q(x2,y2) , D = (x2-x1)2+(y2-y1)2 .

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A: Given equation, yy=as where, y is Pinocchio’s nose length (in inches) s is his lie count a is a magi...

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A: limx→ 0+sinlnxlnsinx

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Q: Solve the components of the given equation of conic sections and sketch the graph: а. 9y? — 4x2 + 32...

A: In this question we have to solve the following question.

Q: The diagram below shows points P, Q and R. The coordinates of the points are given by P (2), Q(5, 6)...

A: The objective of the question is determine the equation of line .

Q: 22 Use a triple integral to find the volume of the given solid. The solid enclosed by the evlinder x...

A: According to question,Given Cylinder and planes,x2 + z2 = 4y = -1y+z = 4

Q: Using Figure 1, complete the following function. (-8, - 6) Figure 2 sine -3/5 4/5 3/5 -4/5

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Q: x - 5, x21 (b) A function ƒ is defined by f(x)=. 1 x<1 Show that f is differentiable at x = 1. Hence...

A: We have to show our function is differentiable or not at x=1

Q: Assume E , is an infinite series with partial sums given by Sy 4 What is a,? A) B) C C) D) None of t...

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Q: Using Figure 1, complete the following function. u Figure 1 sece = v/r v/u u/r O r/u r/v u/v

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Q: Express the repeating decimal as a fraction. 0.904818181818... 0.904818181818... =

A: topic - rational numbers

Q: Find the area of the region enclosed by the graphs of: y? = x+5 and y2 = 3 - x. 32 A) 3 16 B) 3. 64 ...

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Q: Question Define Q as the region that is bounded by the graph of the function g(y) = - Vy – 1, the y-...

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Q: Which of the following is the general solution of the DE: у" - 36у %3D0? Select one: o y=C,+Ce 36x -...

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Q: ind the derivative of the following functions in its simplest form. Show all of your work. Use the f...

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Q: Calculate F . dS where F = (4x°z, 4y°z, 3z*) S is the surface of the solid bounded by the hemisphere...

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Q: Question 2 Find an equation for the line tangent to the given curve at the indicated point. y6, x3=y...

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Q: Find the distance between the points (distance formula) 1.(3, 2), (4, -3) 2.(-5, 1), (-7, -3)

A: Distance between two points are  √(x1-x2)^2+(y1hy2)^2  

Q: The graph shown below is f(x) = x2. If g(x) = f(t)d t, find g(3). AY 8 6+ 21 X 4 O g(3) = 9 O g(3) =...

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Q: 4. Are the two limits below the same? lim x-0 x| and lim x-0 X

A: As per our guidelines we are supposed to answer only one question i.e. the question no 4, which is y...

Q: n2 - 6 with n5 + 6 Write an inequlity comparing for n > 1. n3 (Express numbers in exact form. Use sy...

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Q: d) If the coefficients are rounded off of - 0.31x + 2.73 find the absolute and relative in y x + 0.3...

A: Find absolute and relative in y

Q: (т — 3)" - Determine the interval of convergence of 2n +1

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

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Q: x²+ Consider dx. Using u-substitution and transformation of integrand, then the power formula (x*+ 8...

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Q: 22ニ」 dx ズ+ぞ

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Q: Q1. Solve the question A. Graph the curve B. Find the x-axis intersection points (Limits of integrat...

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Q: -1-0. 1) Write f(x). 3) Find D & R 4) Sketch f(-3t+3) 5)Find D & R for the function of point 4 2)Fin...

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Q: The equivalent Cartesian equation of the polar equation r = tan0sec0 is: A) y = x. B) y= x2. C) ху —...

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Q: dx The integral can be re-written as. VI- A lim (-2+ V1- m) m-- 00 B none of the choices lim (2-2 V1...

A: ∫-∞0 dx1-x  

Q: The graph shown is f(x) = 2x2 - 2. What is the integral that defines the area under this line betwee...

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Q: Let , be a series with partial sums Sy. If a-fn), where f(x) Time ieft continuous, and decreasing fu...

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Q: Suppose f is a function for which f'and f" exist. You are given that: S(0) = 1 S'(0) = 5 %3D %3D f(2...

A: here we use the integration by parts see below the answer and calculation

Q: Find the distance between the points (distance formula) 1.(3, 2), (4, -3) 2.(-5, 1), (-7, -3) 3.(-1,...

A: Distance between two points (x1,y1) and (x2,y2) is (x2-x1)2+(y2-y1)2. Note : As per our Guidelines ...

Q: The function f is defined by the following rule. f(x) = 2* Find f(x) for each x-value in the table. ...

A: Find inverse of L. Let x=L(t) 

Q: Compute the LU factorization of the following matrix. No row interchanges will be necessary. You can...

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Q: (*y3 - ) + y² = 0 1 1+9r

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Q: (-1)"n! 3. (a) Test the series for absolute convergence. n" n=1 2 4 2n-1 (b) Prove that the series 1...

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Q: Solve the following ODE numerically dx t3 – 2x -, for 1 <t< 3 with x = 4.2 at t = 1, t %| dt and plo...

A: Please see the below picture for detailed solution. 

Q: sing u-substitution, the integral Jf(x)dx reduces to a new integral J glu) du. If g(u) = , evaluate ...

A: Topic:- application of integration

Q: Factor the difference an+1 - an to show that the given sequence {an} is strictly increasing or stric...

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Q: 3. Find all values of a, b, c so that the following function is continuous for all values of x x-1 s...

A: Please see the below picture for detailed solution. 

Q: 6. Consider function f(x, y) = x + y – 4ry + 1. Compute all the critical points of the function, and...

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Q: 4. Find the equation for the line tangent to (persamaan garis şinggung) a. y= x2- 3 x + 5 at the poi...

A: The objective of the question is determine the equation of the tangent line.

Q: Evaluate the integral. NOTE: Enter the exact answer. cos (2.r) dx = + C

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Q: Differentiate f(z) = VE. Differentiate f(x) : Differentiate f(z) = (2z² + 1). 4. 5. 6.

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Q: Express the repeating decimal as a fraction. 0.4713 43 43 43...

A: In this question we have to express the repeating decimal as a fraction.