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Q: 1 dx 2. 0 (2x+1)Vx²+x

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Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) = (1 + x)4 f(x) = E Σ ...

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Q: Consider the following sequence: +00 {a, } = {n – n² },, Use an+1 – a, to show that the given sequen...

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Q: 6. 2x3+3x dx x4+3x2 C 1 In lx* + 3x21 + C + C In(x4+3x2) 1 1 In Ix + 3x21 + C +C 2 In(x4+3x2) A B O ...

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Q: Given: cos A= -, sin x = - 3, e is in the third quadrant, and x is in the fourth quadrant; evaluate ...

A: Given, cosθ=-45  where 180°<θ<270°We know that ,sin2θ+cos2θ=1sin2θ+-452=1sin2θ+1625=1Subtract ...

Q: 3. Let v(x, y) = (2x + y, x + 2y – 2). - a. Show that u is conservative by finding its scalar functi...

A: Follow step 2nd   According to guidelines we solve only first three parts. Thank you. 

Q: The position of the particle at time t is given by s(t) = t² – 10t + 24. The particle is moving from...

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Q: k(1+g)" Suppose you own a rare book whose value at time is given by v(D =k(1+g)", with A.g>0 and osa...

A: Given: The present value is given by PV=k1+gta1+rt Formulas used: ddxxn=nxn-1ddxax=axlnaQuotient rul...

Q: du What is the value of u, given the equation equal to? A. x² В. 4 С. 6 D. none of the above

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Q: Suppose that {a,} is a monotone sequence such that an 14 or increases - in this case we can't say w...

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Q: dx sin (7x)[7-cot2(7x)]

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Q: 5- 1. If ff(x)dx=12 and [f (x)dx = 3.6 , find 1 1

A: Integral

Q: ((2x-y²)´ (x,y) # (0,0) Let f(x, y) = x2+y4 2, (x, y) = (0,0) Is f continuous at (0,0)? Do fr(0,0) a...

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Q: 2х + 10 dx Evaluate 2(x – 4)

A: topic - indefinite integration

Q: Find all values of x at which the tangent line to the curve 2x + 11 is perpendicular to the line y =...

A: Given curve, y=2x+11x+5 Aim: To find the value of x at which tangent is perpendicular to the line y=...

Q: (3y- 2 )cy y´+2y+17

A: We have to evaluate value of given indefinite Integration.

Q: A normal line to a curve passes through a point P on the curve perpendicular to the line tangent to ...

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Q: 3.44 Given that F= x'ya, – ya,, find (a) $¸F·d1, where L is shown in Figure 3.30. (b) Ss(V × F) · dS...

A: The given problem is solved below in detail.

Q: A ball is thrown downward with a speed of 18 ft/s from the top of a 324-foot-tall building. After t ...

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Q: Solve for the constants of the integration and the general form of the equation.  A particle travel...

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Q: 5) Suppose the function C(1), where trepresents the number of months from January 1, 2020, approxima...

A: Given, C(t)  represents the energy cost to a manufacturing company, where t is the number of months ...

Q: Sketch at least 2 periods of the graph of y= −2sin(2x)−1 and find the amplitude, period, horizontal ...

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Q: sin-"(ry) = cos-'(x – y)

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Q: A rocket is fired vertically upward from the ground. The distance a in feet that the rocket travels ...

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Q: Watch the completing the square review videoe before answering the following question. When you comp...

A: The given expression is: x2-3x+1   As we know from the algebra; a+b2=a2+2ab+b2a-b2=a2-2ab+b2

Q: If sec(t)=−9.65, what is cos(−t)? If csc(t)=0.31, what is sin(−t)?

A: As we know from the trigonometric identities; 1). sinx=1cscx 2). cosx=1secx And The negative angle i...

Q: .3 x — 64х lim 5 2 X→0 x* + 2х

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Q: I A man buys a motorcycle. There will be no maintenance cost the first year as the motor cycle is so...

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Q: Exercises Find the solution of the following Differential Equations 6) y'= V+x ソーX %3D

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

Q: 2.2 If fe R(a) on [a, b] and if Saf da prove that a must be constant on [a, b]. = 0 for every f whic...

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Q: S x²e2** dx

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Q: 13 Given: cosa = and a is located in the fourth quadrant; find sin 2e. %3D -8/25 -24/25 -6/25

A: Trigonometry

Q: If s(t) = 4t3 - 6t2 – 24t + 8, represent the position of a particle traveling along a horizontal lin...

A: Find your answer below 

Q: 9. dx 1+ ex A - In le *|+ C C - In le x +1 + C %3 In leI+ C B D Inle x+11+ C x- O D O E None

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Q: { 2x x< 6 g (x) = I-1 x 6 (a) x = 4 (b) r 6

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Q: If f(x) is a differentiable function, and n is a rational number, then Sf(x)" f'(x)dx = L4)"+1 +c n+...

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Q: b) Evaluate the intergral. Show (with your work) that it is Cunvergent and give its Value or that it...

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Q: If s(t) = 2t-3t - 12t + 5, represent the the time intervals when the object is slowing down or speed...

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Q: Evaluate:S Ln x dx

A: Solving the problem by finding the value of integration.

Q: If f(x) = 4 sin(x) + In(3x), find f'(x). f'(x) = Graph f and f' in the same viewing window. y y 4 2 ...

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Q: A rocket is fired vertically upward from the ground. The distance s in feet that the rocket travels ...

A: Solution is here

Q: If the given function is f(x) = x + 1, then which of the following is the solution in finding the an...

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Q: Evaluate the Integral 6. J csc x sec x tan 2x dx ANSWER: T tan x+1 6. In + C tan x-1

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Q: Example 6 If ð = (3, 2), b =(5, –1), ĉ = (-4, 2) find (a) 2a + b – 3c (b) 3a + 26 – 7.

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Q: Finding an Indefinite Integral In Exercises 5-26, find the indefinite integral and check the result ...

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Q: Find all values of x at which the tangent line to the curve 2x + 11 is perpendicular to the line y =...

A: Graph and tangent line

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A: Let's find. 

Q: A rocket is fired vertically upward from the ground. The distance sin feet that the rocket travels f...

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Q: 4. . Find the radius and central angle in radians of the circular sector of maximum area having a pe...

A: P=2r+r(thetha) 

Q: X = 6. (x)f (q (x 3. = (x)6 (3x 1. Determine the first derivative of the following functions:

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