Find the curvature of the curve rt)= 2t*i + t; +ţť k

Q: dy sec x.tan х dx 1- sec' x

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Q: Find the x-values of all points where the function has any relative extrema. Find the value(s) of an...

A: Solution is given below:

Q: PART II. Solve the following, Show the necessary solution= 4. Find the fourth term in a proportion i...

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Q: Evaluate the following integrals. 1 dr x²/r² – 9

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Q: For the function G(x) = 3 – x, find G(-6), G(u), and G(u) . G(-6) = (Simplify your answer.)

A: For the function Gx=3-x2, to find G-6, Gu, and Gu2.  

Q: Find the Area of the region enclosed by Y=JT +1 and y=X, and y-axis (sketch)

A: This question is based on application of integration.

Q: Given the graph below, evaluate the following limits: = b Retrieved from:basiccalc_initial_release_1...

A: Find your answer below 

Q: = 4 cot -1 3. y = cos x 4. y = c Csc 2x

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Q: Given: sin A = ! and cos x = - -á; evaluate the following expression. %3D (A: Quadrant I, x : Quadra...

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Q: dy sec x.tan x dx 1- sec' x

A: differential equation

Q: Find a formula for the general term an of the sequence, assuming that the pattern of the first few t...

A: Given query is to find the general formula for nth term.

Q: Consider the region R bounded by the line = 42- 8x and the parabola y = 27 – x². %3D To find the vol...

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Q: _3. The equation of the tangent line to the function f(x)=-- at (-5,) is x-3 7. y = x- 25 1 25 4. Th...

A: Topic:- function and derivatives   

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. + 4e" ...

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Q: 2. Use the previous item to determine if the improper int 2x – x3 dx (x – 1)2 (x² + 1) - 1:. TE :4

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Q: Find y' and y''. y = lnx + (7+x^2)^1/2

A: We can find y' and y'' as below

Q: Suppose Ryan borrows $9000 at an interest rate of 3% compounded each year. Assume that no payments a...

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Q: If f(a)= 3x3-X, find the values Of X for which f'(k)=0

A: Given f(x)= 3x³-x So, f'(x)= 9x²-1

Q: 2tan4xdx 2 - tan~4x

A: Given problem:-

Q: Find all the values of x such that the given series would converge. n! n=1 IM:

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Q: Find the Taylor series centered at c = -1. 7 f(x): %D Зх — 2

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Q: Find the points on the surface z = xy + 81 closest to the origin. The points on the surface closest ...

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Q: tan e de (1+ In cos ele

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Q: ould you please explain this to me please? What is the derivative (d/dx):  y=3log8(log2(x))   (y...

A: We can find the derivative as below

Q: Use sigma notation to write the Taylor series about x = 8 for the function. 1 x + 5 k = OW

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Q: Use the ALEKS calculator to evaluate each expression. Round your answers to the nearest thousandth. ...

A: Given query is to find the value of the expression.

Q: IV. Find the derivative of the given function. 1. u = t³(sin ln t – cos ln t) 2. y = e-2* (1 + e-2x)

A: 1) Given:          u=t3sin ln t-cos ln t   derivating on both sides     dudt=ddtt3sin ln t-cos ln t ...

Q: dz If x4 – y4 + z - 3z = 2, then %3D %D dx a) 4x3-4y3 3-4z3 b) 4x3 3-4z3 c) None of these d) 4x3+4z3...

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Q: End the solution and dyined the interpal at which function is depince dx

A: Given that xdydx+y=1y2Solution :xdydx+y=1y2xdydx=1y2-yxdydx=1-y3y2y21-y3dy=dxx∫y21-y3dy=∫dxxlet, 1-y...

Q: Write the f(x) = |3x − 1| in its piecewise-defined form.

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Q: 5. xV16-9х2 5. J 16-9х dx XV

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Q: (a) f(x) = (3x² – 5x + 8)35 (b) f(x) = cos(27.x)

A: First I have written the chain rule and then using it find the derivative of given functions.Also us...

Q: Find the absolute maxima and minima of the function on the given domain. T(x,y) =x +xy +y - 9x + 1 o...

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Q: 3y +5 (5y-7)2 dy

A: We can find the integration as below.

Q: x²-1 dx 1. S

A: Given: I=∫x2-1xdx   ...1   We know that the trigonometric identities; (1). The Pythagorean identitie...

Q: 10. The following is a power series except for 00 00 (x – 1)" 00 (2х + 5)3п b. 2n Σ а. (2 — 5х)" nn ...

A: Power series is a series of the form ∑n=0∞ cn(x-a)n

Q: 5" i) E 2"+1 п n=0

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Q: what is sin^-1(cos^-1((1))

A: Letcos-1(1)=x⇒1=cosx⇒cosx=1we know that ,cos0=1⇒x=0⇒cos-1(1)=0sin-1(cos-1(1))=sin-1(0)let sin-1(0)=y...

Q: Consider the following functions. f-((-3,-2), (2, 0), (1, – 1), (–2, –5)} and 8 = ((5,0), (0, 1), (1...

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Q: The set B = {1+tť,-t+t,1-2t+t} is a basis for P2. Find the coordinate vector of p(t) =3- 3t + 8t rel...

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Q: (х-2)" n=' (n+1)3" 00 a.

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Q: 2x – x3 1. Evaluate dx. (x – 1)²(x² + 1) | NO NEED TO SHOW SOLUTION FOR NUMBER ONE; JUST USE NUMBER ...

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Q: 1. Given y = log3 9. The value of y= %3D 2. If log(r + 2) = 4, then the value of r is %3D 1 3. If lo...

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Q: 2x – x° dx (x – 1)° (x² + 1) 8.

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Q: Find all the values of x such that the given series would converge. (x – 9)" 92 Answer: Note: Give y...

A: Given:     Limit is given

Q: lim 2sinx – / メ→% 6x-TT

A: Given,            limx→π62sinx-16x-π

Q: The rate of growth of a plant is proportional to the difference between its height h and the maximum...

A: The given data is: The rate of growth of a plant is proportional to the difference between its heigh...

Q: Find the value of x that satisfies the following equation (2x – 5yi) + (y + xi) = 8-7i В. 4 А. 2 С. ...

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Q: A dilation has center​ (0,0). Find the image of the point ​L(3​,−7​) for the scale factor 8. L'=

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Q: 1. lim 3" 2. lim 5* 3. lim log r エ→4 4. lim cos r

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