(y¹x=i+ I 7² +11 -)dx + N(x,y)dy = 0

Q: -: Show that -1+i√3 =1 for all combination of signs.

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Q: 3x · Se³ª sec e³ª tan e³ dx

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Q: Consider a 200-N weight suspended by two wires as shown in the figure. Find the magnitude and…

A: This question can be solved by the concept of resolving of vectors into horizontal and vertical…

Q: 4) Angle A of triangle ABC is decreasing at the rate of 4 degrees per second, while sides AB and AC…

A: According to the guidelines if we get more then one question then we have to solve only first…

Q: The arc length of 元 y=ln(cos x), 0<x<= is 3 the curve

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Q: An object is moving with velocity (in ft/sec) v(t) = t²-2t + 3. At t = 0, the object has a position…

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Q: Q14) [2x (1+x²) x-(1-x²) (1+x²) +CB)- 10 (1+x¹) (1+x²) (1+x²)" (1+x²)" 11 +00) +CD) 11 10 12 1.1…

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Q: Determine the domain and range of function f(x) = elnñ — arcsin (1²²)

A: This question can be solved using the concept of domain and range of inverse trigonometric…

Q: Find the derivative of the trigonometric function. y = cos((?x)8)

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Q: Let g(x) be the inverse function to the differentiable function f(x). If ƒ(0) = 1 and ƒ'(0) = 8,…

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Q: Q1: If the function f(x) define as f: R →R such that f(x)= (x+1, x>2 x²-1, x≤2 Show that the…

A: Solution is given below:

Q: anchor 1, anchor 2 One of the guy-wires forms an angle of a = 0.3 radians with the antenna and the…

A: Let's solve part d and e.

Q: 5. y + 4y= sin x + 3 cos x Ans: y = C₁+C₂ cos 2x + C3 sin 2x + sin x x-co COS X

A: To solve the given differential equation.y'''+4y'=sin x+3 cos x

Q: 1 1-25t² dt

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Q: Find the area of a parallelogram having the vertices P(1, 1, -1), Q(4, 2, 1), and R(6,3,1) O √13 O…

A: To find the area of a parallelogram having the vertices P1, 1, -1, Q4, 2, 1 and R6, 3, 1.

Q: One car leaves a given point and travels north at 40 mph. Another car leaves 1 HOUR LATER, and…

A: Let's find rate of change distance between the cars changing at the instant the second car has been…

Q: 4. h(x, y) = xe +y+1

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the derivative of each of the following functions:- log₂ x 2. y=- X

A: Given problem:- Find the derivative of y=log2x/x

Q: Find the nth Taylor polynomial for the function, centered at c. 1 f(x) n = 4, c = 2 +2² P4(x) = = =

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Q: .2 3. If o (x) = f Ví dt, then 0 (a) 2x2 (c) O do dx (6) SA (d) 1. is

A: ϕx=∫0x2tdt

Q: (a) Use the Maclaurin series, In(1 + x) = x -+-+ = E=1(−1)n+12², 2 X to derive the series expansion…

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Q: Given the function  y = 5 arcsin(x),  find  y'.

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Q: T 4.) x² sin(xy) dydx

A: Solve the following integrals.        ∫0π∫01x2sin(xy) dydx

Q: = C₁e^ + c₂e^, (-∞0, ∞0); y" - y = 0, y(0) = 0, y'(0) = 5 ex- 25e-x X

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Q: Find the value of x if O 1.84 O 1.77 O 1.32 O None of these O 1.52 metazaf =7

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Q: ✓1 - cos e de

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Q: All exponential functions can be written in many forms. Write the function f(t) = 6100e0.07t in the…

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Q: Determine whether or not the following pair of vectors are parallel, perpendicular or neither. a)…

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Q: A clothing store buys scarves for $22.00 less 27% for buying over 50 pairs, and less a further 24-%…

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Q: 10. Evaluate cos x sin² x dx

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Q: Find the limit as t-➜0 of r(t)=

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Q: 5. 3 :) dx 'tan x cos x

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: seconds after the start of the movement. (B) Use Tabular integration to evaluate the following: -…

A: Let's evaluate given integral by using tabular method.

Q: 6. - Set up the triple integral that will give the following: (a) the volume of R using cylindrical…

A: We have to set up the integral that will give the volume.

Q: The sum of two positive real numbers x and y is 12. Find an x and y among these such that the…

A: The sum of two positive real numbers x and y is 12.

Q: Suppose A = 4i-6j, B = i + 7j, and C = 9i - 5j. Then the scalars h and k such that A = hB+ kC are…

A: Topic = Vector

Q: 4a) S 3x+7 (8+6x-9x²) 3/2 -dx 4b) S 2x²-11x-1 (x+3)(x² +1) -dx

A: ∫un du =un+1n+1+C ∫sec2(u) du = tan(u) +C Note : As per our guidelines ,we can solve first question.…

Q: TL (3x −2+ sinx) dx

A: The given integral,         ∫-π4-π23x-1x2+sinxdx

Q: Q1/Without using L'Hopital rule, find the following limit. +². lim

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Q: 4. f(x, y) = 5xy - 7x² - y² + 3x − 6y + 2 5. f(x, y) = (xy − 1)² 6. f(x, y) = (2x - 3y)³

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Q: 2. f(-7sinx + 3cosx)dx (-7sin 3. √(3x − 2 + sin x) dx TE 4. (3 sec² x + 4 csc² x) dx

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Q: -. Find the area of the region between f(x) = 1-x² and g(x) = x + 3 on the interval [-2,2] 0 2

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Q: Find the distance between the points. (−14, 1), (1, −7)                     units

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Q: Your are driving away from Tampa. Your distance (in miles) away from Tampa x hours after 12:00 noon…

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Q: * 37 015) 15/(x)=x+cosx, xe[0, z], then the function has an inflection point at x A)- 110) C D) # 2…

A: Asked questions are solved.

Q: -2, if x < -1 f(x) = (x + 1, if x ≥ −1

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Q: √4x+4-√√5x+1 x#3 Q18) if f(x)= x-3 k x=3 A) 15) 1 C)O by Q19) Use local linear approximation in ind…

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Q: Determine the arc length of the curve formed by the polar equation r = 4 cos 0 - 4. 2T 2п 2√/2 √1 -…

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Q: (3x²-3x-4) 2x²-3

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Q: 9. Find a unit vector perpendicular to both [1,2,-3] and [2, -1, 4].

A: Given a=i+2j-3k b=2i-j+4k Aim : to find unit vector perpendicular to a and b