Write each of the following in Sigma notation: 1 2 3 4 5 +-+-+ 3 8. 9 + 16 + 25 + 36 + 49 + 64 + 9. +-+... 6. ... 4

Q: = 4 cot -1 3. y = cos x 4. y = c Csc 2x

A:

Q: Given the graph of the cosine function f (x) = cos x, evaluate the following limits: 27 37 1. lim co...

A: Limits

Q: Question 2: Evaluate the following limits 5 a) limx-0- 3 5 b) limz-o* x3 5 c) limx-0 x3

A: Find the given limit

Q: 2x – x3 dx (x – 1)° (x² + 1)

A: Given,           ∫2x-x3x-12x2+1dxTo find : Evaluate using partial fractions and w/o u-substitution.

Q: evaluate the given function

A:

Q: 18. Identify the end benavior oT the grapns: a) -6 -8 -10

A: Graph

Q: Evaluate the following integrals. 1 dr x²/r² – 9

A:

Q: Find the x-values of all points where the function has any relative extrema. Find the value(s) of an...

A: Solution is given below:

Q: A common complaint about income tax is "I can't afford to work more because it will put me in a high...

A: Answer to given problem is shown below - 

Q: Find the curvature of the curve rt)= 2t*i + t; +ţť k

A:

Q: yln" (I+ y?) dy I+ y2

A: Given:  Let I=∫y ln71+y21+y2 dy To Find: To evaluate the given integral.    

Q: Find y' and the slope of the tangent line to the graph of (3x- 2y)° = 2y2 - 9 at the point (1,2).

A:

Q: a) Determine the derivative of the function f(x) = (x + 1)³(3x – 5)*. Write your answer in simplifie...

A:

Q: List all the ways that you can arrange the letters A,B, and C

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Q: 3x²+1 e) у %3D cos?(3x?) f) y = x-2

A: We need to evaluate the derivative of the following function e y = cos23x2f y = 3x2+1x-1

Q: tan e de (1+ In cos ele

A:

Q: Evaluate the following limits. 4– 3y2 – y --2 6 - y - y? 3 – 7x2 + 14x - 8 1. lim (1+ Vw)(2 – w² + 3...

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for yo...

Q: (ii) L„(sin x) dx # 0 .

A:

Q: Given: sin A = ! and cos x = - ; evaluate the following expression. %3D (8: Quadrant I, x : Quadrant...

A:

Q: 6.2 Show that the Lorentz-transformations connecting the S' and S systems may be expressed as = x1 c...

A:

Q: Evaluate the following integral xVx + 1dx 5/2 (x+1)^(2/5) -2/3 (x+1)^(3/2)+c 2/5 (x+1)^(5/2) + 2/3 (...

A:

Q: Determine the function f satisfying the given conditions. f'(x) = -sin(x) f (7/3) %3D = 3.5 f (x) = ...

A:

Q: The function below is a simplification of which integral?" 4. 4 a sin(2 3x) + 3 cos(2 3x) + c 6.

A:

Q: Find the solution to the initial-value problem. y' = 3x2(y2 + 9), y(0) = 0 y

A:

Q: Find ALL antiderivatives of 6x + 3x - 8. NOTE: Remember to include + C in your answer! 3x2 The antid...

A:

Q: Given the graph below, evaluate the following limits: = b Retrieved from:basiccalc_initial_release_1...

A: Find your answer below 

Q: The diameter of Mercury is 3,032 miles and rotates every 58.65 days. If you are standing on its equa...

A: Find your answer below 

Q: Evaluate the following limits a) limx-0- 5 b) lim, 5 c) limx-o

A: limx→0-5x2For x approaching 0 from the left, x<0  ⇒   x2>0,The denominator is a positive quant...

Q: A box with a top is constructed from a piece of 200-cm by 400 out and the flaps are folded to make a...

A: Given: - A box with a top is constructed from a piece of 200 cm by 400 cm cardboard. The shaded regi...

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (-1)"

A:

Q: n! g) E п 3" n=0

A: There are multiple questions, as per company policy kindly ask other questions separately, ratio te...

Q: Find the critical numbers of f(x)=x²e* %3D Select your answer

A:

Q: 3y +5 (5y-7)2 dy

A: We can find the integration as below.

Q: Find the solution to the initial-value problem. dy dx = y3xex2, y(0) = 1 y =

A:

Q: Given x = 60°, tan š can be rewritten as which of the following? 1- cos 60 1- 2 sin? 60 1- cos60 tan...

A: We can find the answer as below.

Q: Consider the following functions. f (-3,–2), (2, 0), (1, – 1), (–2, –5)} and 8 = {(5,0), (0, 1), (1,...

A:

Q: Given: sin a = and cos x = - 13; evaluate the following expression. (A: Quadrant I, x : Quadrant II....

A: We have,  cosx = -1213 Formula Used:  cos2x = 2cos2x-1 To evaluate: The value of cos2x

Q: 2. Determine the first and second derivatixe for the following function. Show all work. f(x) = (2x² ...

A:

Q: Use the ALEKS calculator to evaluate each expression. Round your answers to the nearest thousandth. ...

A: topic - logarithmic functions 

Q: answer a(v)

A: Topic:- complex number

Q: a) f (x) = 6x5 – 3x? + 9x – n b) h(x) =D + vZx-제

A:

Q: the number x (in thousands) of cat flea collars demanded each year when the price of a collar is p d...

A:

Q: Find the first five terms of these recursively-defined sequences: 9. a1 = 2, an = 2an-1 - 5

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: Find the derivative of the function using the power rule. (a) f(x) = 3/5x5 − 4x −4/3x-3 (b) f(x) = x...

A: a) f(x)=35x5-4x-43x-3 f'(x)=ddx35x5-4x-43x-3       =35ddx1x5-4ddxx-43ddx1x-3        =35ddxx-5-4-43dd...

Q: 2. Find the rank of the matrix 1 3 4 5 8 9. 10 11 12 13 14 15 16

A:

Q: Evaluate the following problems. Show all necessary parts of the solutions. 1. The graph of g is giv...

A: Solution: A)A discontinuous graph has breaks or gaps on its curve From the given graph g is disconti...

Q: A) Sketch the graph indicating maxima, minima, asymptotes and inflection points and find the interva...

A:

Q: Let

A: We will find the partial derivative with respect to x. 

Q: Let x be real, what is the value of sin(2Cot^−1(1+x))

A:

Q: what is cos(tan^−1(−1/2))

A: