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Q: (b) / ₁ 1 -dx 1 + x³

A: ∫11+x13dx

Q: Given g(x) = x² + interval [6, 6 + h]. g(6 + h) - g(6) 10x + 3, find a simplified expression that…

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Q: (a) Show that the vector field F(x, y) = (x², y²) is conser- vative, then find the potential…

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Q: Determine s' (x) ifs (x) = x-7 + e-8a O s'(x)=x6 - e-8x O s'(x) = -7x-8 - e-8x-1 O s'(x) = -7x-8 -…

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Q: The rectangular coordinates of a point are given. Find polar coordinates of the point. Express 0 in…

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Q: (b) (c) у f(t) f(t) 0 2 Find the period? " 5 2 #Xx 0 23 5 6 8 7 8 t (ms) 10 period period=

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Q: Explain how the following limit works and what it is used for. f(x +h)-f(x) lim hs0

A: Topic:- derivatives

Q: Relevant Relationship: There is a functional relationship between Price of an IPod Touch,p and…

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Q: = Consider an arithmetic sequence with t2 = and to 13 3

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Q: f(x) = 2 Lim f(x+x) - fox) AX f'(x)= 4x40 Lim AXO Lim (x+4x)² - + (x+AX)^2-x²² AX AX x= x + 2x (0x)"…

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Q: The cross product is neither nor. The dot product is not 01. Commutative 2. Associative 3.…

A: We know that , 1) cross product of two vectors are not commutative , That is u×v≠v×u 2) cross…

Q: Q2: lim +01+stnx x²-16 đêm 5 t (B) 00 (C)-8 is discontinuous at: (A) x 1 (B) x = 4 (C) x-1 and x=4…

A: The objective of the question is determine the discontinuity and choose the correct option.

Q: x - 39 X-39 VX + 10 -7 Find lim X-39 lim X-39 √x+10-7 (Type an integer or a simplified fraction.)

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Q: 5x²(2x − 3) ³ (x+4) + 9x (2x − 3) (x +4)²

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Q: -10 -8 -6-4 -2 > y 10 8 6 4 2 -2 4 -6 -8 -10 2 4 6 8 10 X

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Q: ng on 23 March 2012. $ Receipts 21.096 10.814 Days 21 35 49 63 77 91 105 119 4.505 2.311 1.072 0.624…

A: Topic:- rate of change

Q: If r(t) = cos(2t)i + sin(2t)j - 4tk, compute the tangential and normal components of the…

A: We have to find tangential component and normal component

Q: Select which of the following functions have a removable discontinuity. More than one answer maybe…

A: Given 1. fx=xx2+x 2. ft=t+3t2+5t+6 3. fx=tan2x 4. fx=x+1x2+1 5. ft=t-1+1 6. fx=5ex-2

Q: Find the curvature x(t) of the curve r(t) = (-4 sin t) i + (−4 sin t)j + (1 cos t) k

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Q: Plot the point(s) where tan = Clear All Draw: √3 3

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Q: p(1) = 4t - 5: Find p(t-2)

A: Given pt=4t-5

Q: n¹(tan(-)) 215. tan

A: Given problem:- tan-1tan-π6

Q: 7. What is the equation of the asymptote for the function f(x) = 3(2x+³) + 2 a) y = -5 b) y = 3 c) y…

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Q: Which of the following functions have an end behaviour of as x→¯‚ƒ(x)→→∞? i) f(x)=-x* ii) f(x)= x -G…

A: See this solution in below.

Q: The vector [6, j, 1] is perpendicular to the vector [-5, 2, 3]. What is the value of j? 06 O None of…

A: We have to find the value of j.

Q: A-0 ********* ****** Q9: If f(2)= 3, f'(2) = 4, g(3) = 6, g'(3) = -5,K(x) = f(g(x)).then K' (3)=(A)…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Calculate x(t) when k(t) = [t^2t]/[3sqrt(1+t^4)^3/2] r(t) = (6t¹, 1, 6t)

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Q: Given f(x)=sin x and g(x)=logx, determine the domain of (fog)(x) and explain how you found this…

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Q: a right triangle has a hypotenuse of 6 cm and one side length of 4cm the angle formed at the vertex…

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Q: Solve the following initial value problem: = y(-1)=2

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Q: Find the product z₁z₂ and the quotient Z1Z2 = N 11 Express your answers in polar form. Z2 Z₁ =…

A: We know that general property of trigonometry is - Cos(A+B ) = CosACosB - SinASinB. And Sin(A+B) =…

Q: Find two vectors ₁ and 2 whose sum is (−1, 4, −5), where ₁ is parallel to (2, 1, −2) while №2 is…

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Q: 1. Four bugs are placed at the four corners of a unit square. The bugs crawl counterclockwise at the…

A: Concept: The cartesian coordinates for these two bugs are given by (rcosθ,rsinθ) ; (-rsinθ,rcosθ)…

Q: A cylindrical tank of height 13 metres is full of water at time t = 0 seconds. is turned on at the…

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Q: A rectangular box has length 11 inches, width 20 inches, and a height of 7 inches. Find the angle…

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Q: Consider the parametric curve Determine which of the following graphs is the correct image of this…

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Q: In the triangle below, compute the tangent of theta 0 12

A: Topic:-  trigonometry ratios in right angle triangle

Q: Below is the graph of y = x² +5. 141 12 10- 8 6- 4 2- -3 -2 -1 2 The area bounded by y = 22 +5 and…

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Q: Determine the average rate of change for the function f(x)=x+3x+4 on the interval 2≤x≤4.

A: Answer is in next step .please give a like!!

Q: Linear Functions, Determining The Equation Given Parallel and Perpendicular Lines Determine the…

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Q: i) Use the substitution v = to find the general solution to dy xy- y = x² + 6y². dr You may leave…

A: We need to solve D.E.

Q: (a) Find a unit vector from the point P = (3, 2) and toward the point Q = (15,7). ū = (b) Find a…

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Q: The cross product is neither nor. The dot product is not 01. Commutative 2. Associative 3.…

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Q: Find the intercepts and asymptotes. (If an answer does not exist, enter DNE.) 8x8 r(x) = x + 2…

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Q: Variables Separable Solve. Show complete solution. sin x cos²y dx + cos²x dy = 0

A: Given differential eequationsinxcos2ydx+cos2xdy=0

Q: 3. Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

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Q: If f(x) =−3x + 2 and g(x) = x² − 3x + 5, find: a) fog(x) b)go f(x)

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Q: Match the equations of the spheres with one of the graphs below. -2 -3 2 X A D 1 y 1. x² − 2x + y² +…

A: Note - according to our guidelines we can answer only  three subparts and rest can be reposted.

Q: -1.5 (-1,5) -1. (-0.707,4.237) -0.5 7 34 1 (0, 3) -1 -3L (0.707, 1.762) 0.5 1. (1, 1) 1.5 x

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Q: H(x)=4x-2:Find h(x +2)

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