1. Use the definition of derivative (not the rules of differentiation) to calculate d (x² + X) dx Y-x

Q: Consider the curve given by x(t) = acos³ (t), y(t) = asin³ (t) for a > 0 and 0 ≤ t < 2π. Find the…

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Q: 12: lim (1-sinx) = X-0 (B) e (C) 1 (D) 0

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Q: 3. Given that the terminal side of an angle passes through the point (-4,-1), determine the exact…

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Q: Find the interval of convergence of the power series En=o ¹∞ (x-1)" n+1

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Q: Integrate the following. Reduce answers to its simplest form if possible. 1 (a) paź x2 +5 dx 3√x (b)…

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Q: -72.4% Yes &724 No Q6- A company has 10 software engineers and 6 civil engineers. In how many ways…

A: Whwn we select r out of n items then no of ways is as follows no of ways = nCrnCr = n!r!( n - r )!

Q: Find an equation of the tangent to the curve f(x) = 2x - 2x + 1 that has slope 2.

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Q: The tangent line to the curve C of the intersection of the surface z = f(x, y) = x√√x+y and the…

A: NOTE: Refresh your page if you can't see any equations. . the given curve is and the equation of…

Q: If E = a , what is - E dr if k and a are constants? r If V = , what is dv dr 8 if k is a constant?

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Q: Evaluate polynomials using synthetic division ADF If g(2)=15y^(5)-29y^(4)-12y^(3)+16y^(2)+14y+21

A: Given :   g(2)=15y^(5)-29y^(4)-12y^(3)+16y^(2)+14y+21

Q: Two vectors, describes the unlabeled vector. i. ii. 111. iv. and w, are shown. Determine which of…

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Q: Revenue R from the sale of x units of a product is found by multiplying the price by the number of…

A: Revenue R from the sale of x units of a product is found by multiplying the price by the number of…

Q: 6) Which of the following series converges? a) Em=o 3n3+n+1 η3+1 b) Σ=o (3) c) Σ=o(5)" d) None of…

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Q: Integrate the following. Reduce answers to its simplest form if possible. (a) √ (6x¹−2x³+4x²−2) dx…

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Q: SOLVE THE FOLLOWING WITH EXPLANATION NO EXPLANATION = DOWNVOTE lim xx+1 x-3

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Q: There is a linear relationship between how many times a cricket will chirp per minute and the local…

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Q: Find the derivative of y with respect to the appropriate variable. y = (5 – 50) tanh -10 O A. O B. O…

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Q: Find the limit and determine if the function is continuous at the point being approached. lim cos…

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Q: Use the substitution formula to evaluate the integral. π/2 S 0 COS X (3+4 sin x)³ 3 O A. O B. O C. O…

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Q: Find the general solution of the differential equation y' + 10xy8= 0 using separation of variables.…

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Q: Express the given quantity in terms of sin x or cos x. 3π ( 2 + x cos O A. - sinx O B. sin x OC. O…

A: Given; Cos(3pi/2 +x).

Q: x () - (-). y (1) J

A: Givenf(t)=sect   We are required to find f''π4

Q: 28 0 Let 4-(23¹) and B-(32) A = What is AB? O (11 -2 -2 2 0 (²21) 0 (-11

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Q: Evaluate the integral using integration by parts. √2x4e-4x dx √2x²e-4x dx =

A: Given: ∫2x4e-4xdx

Q: 3) The point (-5, 5) lies on the terminal side of an angle, 8, in standard position. Find the exact…

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Q: 3. f(x)= Domain: -2x + 1 |5x4 x≤2 x>2 Range: Function: Yes No Continuous: Yes No f(-4)= f (8) =…

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Q: Evaluate the integral using integration by parts. 3 √7x³,2x dx 2x √7x³e²x dx =

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Q: Use the function m(x) = = 2x - 34 √6-X to answer the questions below.

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Q: Consider the area shown below. The top curve (in blue) is y = x, and the bottom curve (in red) is y…

A: The answer is in step 2.

Q: 9. Given the piecewise defined function below, determine the value(s) of x such that f(x) = -20.…

A: We need to find values of x.

Q: Find y". y = 5 cot X

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Q: Find the radian angle x in quadrant two where tan(x) = x = - √√3 3

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Q: Evaluate the integral. +1 O √t O A. B. dt c. 216 5 864 5 432 5 D. 432

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Q: Factor the expression by using the greatest common factor (GCF). 62. 63. 64. 65. 66. 67. 68. 69.…

A: 62) 6x-30 63) -3x+18 64) 12x-20 65) -4x-14 66) 9x-21 67) 3x+12 68) -6x+15 69) 2x+2 70) 12x-3

Q: Find the central angle 8. 8 = 2.6667 X rad 0 3 8

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Q: 2. Consider the function g(x) = x cot (3x). A. Function g can be rewritten as · cos(3x) · 3x sin…

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Q: Find the derivative 0 y= [ co +6 cos √t dt dy dx -6x5 OA. O B. - sin (x³) OC. 1- cos (x³) OD. 6x5…

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Q: g(x)= 8 √x =;(4,-4)

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Q: Use the graph of H shown to the right to find the limit. When necessary, state that the limit does…

A: Please see the below answer.

Q: Find lim X-1 X-1 √x-1 X-1 lim X-1 (Type an integer or a simplified fractio =

A: limx→1x-1x-1

Q: (a) S (3x-2)dx x²+2x+17

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: A company produces a special new type of calculator. The company projects that if it charges a price…

A: NOTE: Refresh your page if you can't see any equations. . x= number of calculators y=price per…

Q: Use the substitution formula to evaluate the integral. π/2 S 0 COS X (3+4 sin x)³ O A. O B. O C. O…

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Q: I = So q arc EIN length is (3 Cons² t sint 12+ (3 sin²+ cost) 2 dt

A: Given Curves:- xt=acos3t,yt=asin3t

Q: A company produces a special new type of TV. The company has fixed costs of $454,000, and it costs…

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Q: Find the following limit. u³-27 3 lim 4 u-3u-81

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Q: 150. S₁V1 12 $2V2 for V₂

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Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 5 5 1m (√²+1 - ² ) lim…

A: Given: limt→05t1+t-5t

Q: Express the given quantity in terms of sin x or cos x. sin (2-x)

A: Given: The expression is given as sin(2π-x)

Q: Use the integrating factor method to find y solution of the initial value problem ty = y-2t²…

A: given  ty'=y-2t2cos(3t)y'=y-2t2cos(3t)ty'=yt-2tcos(3t)y'-1ty=-2tcos(3t)