X Find the average value of y= 4 cos on I 2 ST 6

Q: r(t) = (-2 cos (2t), 3 sin (3t), In (2t)), then the fr(t)dt is equal to 3 (-sin (2t), cos (3t), t ln…

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Q: A car sharing service offers a membership plan with a $40 per month fee that includes 10 hours of…

A: A car sharing service offers a membership plan with a $40 per month fee that includes 10 hours of…

Q: Find a potential function f for the field F = 2y + 5z (4 i+ 8x j + 20x k). A general expression for…

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Q: olve the given differential equation. All solutions should be found. dy x - 2y dx X

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Q: The slope of the tangent line to the curve at the point where x = O +1 -1 DNE f(x) = sin² x cos²x

A: The slope of the tangent line to the curve  y = f(x) at the point x= k is f '(k)

Q: +00 (-1)" n100 4" Determine whether the series Στα or divergent. Series is conditionally convergent.…

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Q: f(x)=1/(1-2x); 1.09-1

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Q: (iii) Use Green's Theorem to evaluate F. dr. (Check the orientation of the curve before applying the…

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Q: Which polar coordinate pair labels the same point as the one shown below? Select all that apply. A.…

A: Here is the solution:

Q: Find for y = dx dy dx 1 C

A: On solving this we will get

Q: Using sigma notation, write the expression as an infinite series. s(²2) + s(3) + cos(7) + Σ( n = 1…

A: Explained below

Q: Suppose that a tank with a capacity of 90 gallons initially contains 60 gallons of pure water. A…

A: NOTE: Refresh your page if you can't see any equations. . w=amount of salt(in pounds) at time t…

Q: 1, Find the equilibrium point for the supply and demand functions below. Enter your answer as an…

A: we know that  the point where the demand and supply curve cross is called the equilibrium point  As…

Q: Use any method to determine if the series converges or diverges. Give reasons for you! M8 n=1 Select…

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Q: Two hours after the start of a 100-kilometer bicycle race, a cyclist passes the 82-kilometer mark…

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Q: Find h'(t) if h(t)= h'(t)= 3 1/2 3 3/5

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Q: A particle moves along a line with a velocity v(t) = 1² + 2t - 8, measured in meters per second.…

A: Given thatvelocity vt=t2+2t-8To find : The total distance the partical travels from t=0 to t=3…

Q: Question 18 Which of the following functions is not continuous on the interval [0, 3 f(x) = ²³16 Oh…

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Q: Graph the trigonometric function. 5 y=- cos2x 2 Plot all points corresponding to x-intercepts,…

A: Please see the below picture for detailed solution.

Q: ollars) t months from now are given by S(t) = 0.05t3 +0.71² + 2t + 5. es). 5. ...

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Q: Given the graph below, what is the lim f(x)? x-1+ +8 02 1 -10 -5 does not exist 10 -5- -5- -10 10

A: Using the concept of right hand limit

Q: f(x) = 0 x = 0. At what value of x is the function given above, discontinuous? Ox=3 x+2 x² −1 8…

A: We need to choose correct option.

Q: Apply Green's Theorem to evaluate the integral (-5y² dx-5x² dy), where C is the triangle bounded by…

A: greens theorem

Q: Find the limit (if it exists) of the sequence (x_n) where x_n = sqrt(3n+2)-sqrt(n).

A: Here, the given sequence is: {xn} where xn=3n+2-n

Q: If x = f(u) and v= g(x), what is du dr dx du ○ f'(u)g'(x) ○ f'(u) + g(x) O dv dx + dx du dv du by…

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Q: Find of 3-(-1)" the Set of sequential limits

A: Given;  3-(-1)n.

Q: 1. Find the area bounded by y = 4x-x, x+2 = 0 and y = 4 using vertical and horizontal strip

A: Solution is given below:

Q: y=In(sin z³) 18. a. 3z cot z³ b. z² cot z³ c. 3z² tan z³ d. 3z² cot z³

A: Here, the given function is: y=ln(sin x3) Note that, ddx(ln x)=1x , ddx(sin x)=cos x and…

Q: Evaluate (for x>0) 3√x dt d dx A 2 1+t²

A: Given :ddx∫0x3dt1+t2

Q: Evaluate the line integral [x(1 с where C is given by the line r(t) = (1 + 3t, 2t), 0≤ t ≤ 1. x(1 +…

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Q: Write and evaluate the definite integral that represents the volume of the solid formed by revolving…

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Q: Find the 4th degree Taylor Series Polynomial for the function f(x) = ex centered at c=3.

A: The function f(x)=ex centered at c=3

Q: (a) State a necessary condition for a vector field to be a gradient. (b) Determine if the vector…

A: (a)

Q: To evaluate the integral 1 3 √100+ x² -dx. which of the following substitution should be used?…

A: Consider the integral  ∫3100+x2dx

Q: Find the derivative for each function. a. f(x)=√x² b. f(x)=x²-3et c. f(x) = secx-cos.x

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Q: 8. Find the limit (if it exists) of the sequence (x_n) where x_n= [1+(1/n)]^n.

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Q: 10. Find the limit (if it exists) of the sequence (x_n) where x_n= cos(n)/n.

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: Unauhauhay Question 5 of 10 x²+x-6 U 1-27²-5-².a Inal Inal Inal lim Evaluate the limit 2x2-x-2.

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Q: 2 [ 2e sin de

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Q: Calculate the first three partial sums of the series. S₁ S N' 11 = S3 = Σ n = 1 n+4 Use the sequence…

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Q: What amount increased by 180% is $32.56? $18.09 $91.17 $12.45 $11.63 $180.89 4

A: what amount increased by 180% is $32.56

Q: Question 9 of 10 Consider the piecewise function f(x), where A is a constant: (s) to discont Ta n…

A: for limit to be exists we have the following conditionslimx→2-f(x)=limx→2+f(x)

Q: lim n-78 √√3n+2 3ntz 1 h

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Q: Find a formula for the nth term of the sequence. 1, 4, 9, 16, 25,... Determine the sequence's…

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Q: For the function shown below, find (if the quantity exists) (A) lim f(x), (B) lim f(x), (C) lim…

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Q: Find y ay ax Y = (x²+1) • In (x² + 1) if

A: We know that derivatives power rule is  d(xn)/dx = nxn-1. And also know that: d(lnx)/dx = 1/x.…

Q: Give the equations of any Vertical Asymptotes of f(x). Also find the equation of the Horizontal or…

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Q: 4. Compute dx S in two ways and verify that the answers agree.

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Q: 1 √1/₂ y+4 y² + y dy felt +2e²t

A: The given integral is a (y+4)/(y2+y).

Q: The integrand of the definite integral is a difference of two functions. Sketch the graph of each…

A: This is a problem related to integration. Please find the general procedure given below.