Determine the limit of the sequence or show that the sequence diverges by using the appropriate Limit Laws or theorems. If the sequence diverges, enter DIV as your answer. 3n? + n + 2 An = 10n2 – 3 lim an ||

Q: sec?xdx Evaluate the given function ſ 1-4tanx

A: put 1 - 4 tan x = t , differentiating with respect to x      d/dx(1 - 4 tan x) = dt/dx      d/dx(1) ...

Q: The graphs of f '(x) and f ''(x) are attached below. Locate the x-values where f (x) has a point of ...

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Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region...

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Q: Verify that for all n ≥ 1, the sum of the squares of the first 2n positive integers is given by the ...

A: Verify that for all n ≥ 1, the sum of the squares of the first 2n positive integers is given bythe f...

Q: Consider the equation z = x² + y. (a) Describe the traces of the equation parallel to the xz-plane, ...

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Q: For any polynomial function f(x), the limit of f(x) as x approaches a is always f(a). Select one: O ...

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Q: coefficients type and homogeneity. State the independent variables ar 1. ý + P(x)y = Q(x), %3D 2. 44...

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by ...

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Q: Tutorial Exercise Find the derivative of the function. F(t) = 5 sec (mt - 7) Part 1 of 5 into f to m...

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Q: (b) y = cos'(11x* + 2x).

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Q: Find a formula C(x,y,z) that gives the cost of materials for the closed rectangular box, with dimens...

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Q: Find an equation of a plane containing the three points (-5, 4, 3), (-6, 1, 6), (-6, 2, 8) in which ...

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: The equation of the curve is given as y = 3x + 1

A: topic - slope of curve at a point

Q: (3 (-6 7/ 3 3. If A = -2 2). B =G ) and C =(,"). Find AA™BC. 4 -2. 4 2 (2 3 4 4. Find the co-factor ...

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Q: Find the slope of the tangent line to the sine function at the origin, (a) y = sin(4x) 15 y'(0) = 4 ...

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Q: 1 (a) Define what it means by for y = f(x). %3D * for y = 3x2 – 2x + 1. %3D (b) Using the defintion ...

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Q: Integrate: dr z2 + 4z + 8

A: We will integrate the above expression. 

Q: Question 1 Use a definite integral to calculate the volume of a pyramid with square base of length 3...

A: according bartleby guideline i have to done only first question

Q: Determine the solution to the initial value differential equation y'+ 3 y = 4 x y(0) = 3 y (x)=

A: First order differential equation : Consider the first order differential equations                 ...

Q: 3. USE ROW -REDUCTION AND COFACTOR EXPANSION TO EVALUATE THE DETERMINANT: 4 2 = 141 4 -O U5 403

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Q: 8. (e* + y)dx + ( 2+ x + ye' )dy =0

A: Given:- (ex +y) dx +(2+x+yey ) dy=0 To find:- General solution for given differential equation

Q: The limit of a constant is equal to the constant itself regardless of any value of x nearer to a num...

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Q: Evaluate the given function ſ tanøsec?ødø

A: Hence, the correct answer is option (d)

Q: 1 10. cos 0 tan 0 +1 2

A: .We will verify the given identity.Below find the solution in image.

Q: 7. Find (a) y = (x* + 5x) cos 5x %3D dx

A: We can find the derivative using product rule as below

Q: dx so that the resulting integral is integrable? - cos x What should be the rewrite of 1-. (A (sec?x...

A: inverse

Q: on(1-y)csc²( y) dy

A: This question can be solved using the concept of integration by substitution.

Q: (1 1 1) \ Find the co-factor matrix of | 2 4 \5 8 9. Find the adjoint of matrix A if A = d)

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Q: Find   Where C is the boundary of the area bounded by the graph y = 3x and y = 4-x2 with a positiv...

A: We know that Green Theorem state: ∫CPdx+Qdy = ∫∫D∂Q∂x-∂P∂ydA

Q: Find the value of k so that the value of (2x – 1) dx is 4. А) з в) 2 D) 5

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Q: Which of the following is not true? A 8 (x) dx Su B · 8 (x) ]dx= ƒ (x) dx · dx=k D E) none of the gi...

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Q: Find the derivative of the function. h(t) = Part 1 of 5 Apply the general power rule which states th...

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Q: Roughly, speaking, we can use probability density functions to model the likelihood of an event occu...

A: The solution are next step

Q: 7In(x) dx

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as ...

Q: x- 3 lim X3 x2 - 2x – 3 5.

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Q: 4. A metal is heated up to a temperature UI J000C. Il 1J UIUI will the temperature be 1000C? what is...

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Q: Confirm that the below limit meets the conditions to apply l'Hôpital's Rule and then solve the limit...

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Q: Let f(x) = |r|. The derivative of f at r = 0: Question 1. a) Equals to ±1 b) There are infinite poss...

A: Given, f(x)= |x| Finding the derivative we have, df/dx= d(|x|)/dx f'(x)= x/|x|  

Q: Question 14 (1 point) Find the limit of the infinite sequence. 2, 2, 2, 2, 2,. Enter dne if the limi...

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Q: 29- 3D (2) H

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Q: Find a vector parametrization for the intersection of the plane x + y+z = 3 and the cylinder x² + z2...

A: solution given below..

Q: The following chart shows student population in a certain elementary school over a 5 year period. Ye...

A: Given: The following chart shows stodent population in  a certain elementary school  over a 5 year p...

Q: Find the following limit, then enter your answer in the form a/(x-b)(x-c) 1 find lim f (x+h) - f (x)...

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Q: 2. ' 2'

A: ab /ac =ab-c 

Q: iv. an n!

A: The detailed solution is given below Thank you 

Q: 2 -16x dy (a) find (b) find the slope of the tangent at x=4 (c) equation of the tangent at x=4. 2.3 ...

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Q: Evaluate the volume of the surface of the shaped recreated by revolving the line y = 1/x as x goes ...

A: Solution is written in below steps.

Q: Find the indefinite integral on the domain of positive real numbers. Enter an exact answer. Remember...

A: We have to find integral

Q: -dx. Find the antiderivative of 7* (A + C In 7 In 7 + C 7* (B 7* + C 2 In 7 (D 2 In 7 + C

A: Given query is to find the integral of the expression.

Q: The area of a square is increasing at a rate of 36 centimeters squared per second. Find the rate of ...

A: We need to find rate of change of the side.