sin –9xdx

Q: Determine the standard form of equation of a hyperbola with foci at (-1,0), (1,0) and one of its asy...

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Q: cln /3 2e" Ve2x +1 dx

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Q: Evaluate f x³e2x dx using integration by parts

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Q: Given the series: 1. k+3 does this series converge or diverge? diverges converges If the series conv...

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Q: -5x + cos (9x) – 1 Evaluate lim 2x Submit an exact answer.

A: To Evaluatelimx→0-5x+cos(9x)-12x  

Q: Which of the following is the general solution to the differential equation Су(х + у) %3 х У(х + у) ...

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Q: x1 x + dx

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Q: ip dt + y* = tys (MULTIPLE CHOICE) Which of the following is(are) true about the equation (A) The di...

A: Given that Diffrancial equation t4dydt+y4=ty3Solution :t4dydt+y4=ty3dydt+y4t4=ty3t4dydt+yt4=yt3this ...

Q: Let f be a function defined on the closed interval -4sxs4. The graph of f', the derivative of f, is ...

A: Let's find. 

Q: 3. Find the derivative of the function. y = In(t2) – arctan(-

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Q: Let F(x,y,z) = (y,x²,zy) where C:R(t) = (cost,sin t , 3t) and t e [0,2]. Evaluate %3D %3D •dR

A: We have to find value of given Integral.

Q: . Find the slope and equation of the tangent line to the graph of the equation at a given point. 1. ...

A: Topic:- derivatives 

Q: he differential equation (8 – r²)dr = %3D r² (1n (;) – = 0 cos cos = 0 (r+ 4) (in (;) –

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Q: Find the derivative of: y=x^(7sin(x)). (x>0).

A: Multiplication rule of derivative is used.

Q: Suppose Gavriel's utility depends on the amount of time spent playing on Xbox (X) and the amount of ...

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Q: Given the: 7(t) = (cos (3t), 4t, sin (3t)) Find the folowing: show complete solution a. unit tangent...

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Q: Evaluate the following: 4dt 5. 5t+ 2 1.

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Q: Evaluate and graph the following: 1. lim(4 x) X-2 (x²-2x-3 lim 2. 海() x-3 x-3

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Q: ADDITIONAL ACTIVITIES A. Calculate the following. Write only the answer 12! 1. 5!-3! 4. 4!(10-1)! 3!...

A: According to guidelines we solve only first three parts. So, again upload 5th question. Thank you. 

Q: Differentiate the following inverse trigonometric functions : 1) y =-2 sin-1x 2) s (t) = - cos-1 t

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Q: 3. Express the quadratic function g(x)=-4x² +4x+5 in the form a(x-h)' +k by completing the square, a...

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Q: Answer

A: Please refer to the image below

Q: if x<1 fx -x if 1sx<2 if 15x<2 f(x) 2x if x 22 Graph the given function.

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Q: - 1. der the equation In ay Ehow that (r, y) = (1,1) is a solution to this equation. dy Find dz (my)...

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Q: uate lim t→+∞\ 3t2 + 2

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Q: Given an infinite series, discuss a strategy for deciding what convergence test to use

A: First i have written an infinite series and told about convergence test of similar series named p-te...

Q: A point (5, - 1) on the terminal side of an angle 0 is given. Find the exact value of sec 0. 2/6 3/2...

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Q: dx Evaluate f- using trigonometric substitution x²(2+x²)

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Q: Which of the following is the general solution to the differential equation 4xyº = -x² – y² for x> 0...

A: The differential equation is given as , 4xydydx=-x2-y2 find the general solution.

Q: 1 Evaluate each of the following limits, then identify any vertical asymptotes of the function f(x) ...

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Q: 2. Given that r(t) = 2 sin ti + 2 cos tj+ tan tk. Find the unit tangent vector T(t) at the point wit...

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Q: Determine the convergence or divergence of the series. 1 a) E п+3 n=1 1 b) E 2" n=1

A: topic -  series convergence and divergence test  

Q: Find the slope of the line tangent to the graph of f(x) = 3x² - x- 5 at x = 1. %3D Provide your answ...

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Q: 8x+1 Evaluate f dx using algebraic substitution V4x-3

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Q: Determine whether the series converges, and if so find its sum If the series diverges, indicate that...

A: The given series is summation of 1/(81k2+63k-8).

Q: sin n n2 n=1

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Q: Which of the following is the particular solution to the differential equation 2ydx + 3xdy = xy³dy w...

A: This is a problem related to differential equation. There is so many concept and formula available f...

Q: For the next three questions, consider the differential equation: y" – 2y' + y = e* arctan r

A: Particular Integral

Q: get

A: We will find the rate of change of value. 

Q: Find a number a so that the tangent lines to y= x° + 11x +x + 13 at x = a and at x = a+ 1 are parall...

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Q: Q3. Each of the following curves is expressed as y = f(x) i.e. in terms of x. However, you are asked...

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Q: If y = 3x3 + 2x and dx 5, find dy when x = 2. %3D %3D dt dt dy dt %3D

A: Given, y=3x3+2x  and dxdt=5 We have to find dydt when x=2  

Q: Please answer the question below: 1.) Explain why the integral below is an improper integral and wha...

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Q: 2. Find the extrema of the function g(x) = x3 using any of the methods given in the above discussion...

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Q: 3 V1+x3 -dx x-2

A: Given:      ∫1+x33x-2dx      =∫x2 x3+13dx substitute u=x3+1                 dudx=3x2→dx=13x2du

Q: The volume of a right circular cone of radius a and height y is given by V : ' = ma²y. Suppose that ...

A: From the given problem; The expression for the volume of the cone is: V=13πx2y And The volume of the...

Q: Solve for x, y, z and w. (Enter your answers as a comma-separated list.) х- у х-z y - w (х, у, z, w)...

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Q: $6. Determine the complementary function for the given DE.

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Q: Find the equations of the tangent and the normal of y = 3x2-2x+1 at point (1,2).

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Q: cos(2x) -dx sinx+cosx

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