Find the unit vector of A=3ax+2ay-3az

Q: Lesson 3.1. Slope of a Tangent Line to a Curve Activity 3.1. Find the general equation of the slope ...

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask th...

Q: Find the in ter vals onwhich Fare? (M [ncreasing and dec reaglny W concareuf and concave down and th...

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

A: In this sequence, we will get the succeeding term by multiplying 1/17 to the preceding term. Such ty...

Q: Find the max emin, nflection Points and the in ter Vals on which the function iiHereaserdecrease con...

A: Given query is to find the the key points of the function.

Q: Let f(x)=x^3−9x. Using Rolle's Theorem, what are all the values c in the interval [-3, 3] such that...

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Q: Compute T (æ) at a = 0.9 for y = e" and use a calculator to compute the error le – T2(x)| at a = 0.5...

A: Find your answer below 

Q: Compute the work required to stretch a spring from equilibrium to 8 cm past equilibrium, assuming th...

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Q: 3,Find the max, min, infledon Points an d the intervals eln which the F unc tHon on

A: f(x)=4x3+6x2-6x-4f'(x)=12x2+12x-6f'(x)=012x2+12x-6=02x2+2x-1=0 x=-2±4-4(2)(-1)2x=-1±32     (critical...

Q: liminate the parameter to find a Cartesian equation of the curve. =(t) = - 3 + 2 cos t (t) = 2 sin t...

A: Topic:- function

Q: The Differentiation to be made must be based on the following topics. - Quotient Rule Give 3 example...

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Q: Atmospheric

A: We will find the height of the mountain. 

Q: f(x)-f(xo) f'(x) = lim 2. f(x) = x2-5x + 6 3. f(x) = Vx + 6 at x = 2 at x = 3

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Q: This integral represents the volume of a solid. Describe the solid. [(4 + cos(x))2 - 42] dx The inte...

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Q: Find a formula an for the nth term of the arithmetic sequence whose first term is a1 = −6 such tha...

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Q: Assume that f is continuous and | f) dt 3 sin х — х сos x. 0, (a) Determine f(;n). (b) Find f'(x).

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Q: Sue wants to build an enclosed area behind her house for her pets. One wall of the enclosed area wil...

A: area of rectangle 

Q: Given that the height, s(t), (in feet) of a free-falling object is given by the formula: s(t) = -16t...

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Q: Convert the rectangular coordinates to polar coordinates with r> 0 and 0 < 0 < 2n. (-4, 4) - ([ (r, ...

A: Given rectangular coordinates is (-4,4)Amplitude=x2+y2                  =(-4)2+(4)2                 ...

Q: graph the folloring f un Ction %3D

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Q: Given: (-8, 6) cote = -3/4 O 4/3

A: Find your answer below 

Q: k-1 Since the series can be rewritten in the form > 4- (). it is a geometric series with: k=1 a =

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Q: df 1 at the point x 51=f(3). Let f(x) = 5x° - 9x-3, x2 1.5. Find the value of dx df The value of at ...

A: f(x)=5x3-9x2-3, x≥1.5The value of df-1dx at the point x=51=f3

Q: Solve the boundary-value problem, if possible. (Assume the independent variable is x. If there is no...

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Q: Use an Addition or Subtraction Formula to find the exact value of the expression, as demonstrated in...

A: topic- trigonometric identities sin(a+b)=sin(a)cos(b)+cos(a)sin(b)

Q: Use sigma notation to write the Taylor series about = xo for the function. In x; xo k =

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Q: Given f''(x)=−9sin(3x) and f'(0)=4 and f(0)=−1.   Find f(π4)=

A: Topic:- application of integration

Q: y" – 3y' + 2y = 0 y(0) = y'(0) = 1

A: We want to solve using Laplace transformation.

Q: 0 2 46 8 10 12 f(r) = 16 14 13 14 16 20 23

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Q: Find the derivative of the function without using the Quotient Rule. y

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Q: Determine whether the series converges or diverges. In(k) Σ k k = 1 converges O diverges

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Q: Determine whether the series converges or diverges. In(k) k k = 1 converges diverges

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Q: A cylindrical container with circular base is to hold 64 in^3. Find its dimensions so that the amoun...

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Q: Evaluate te following inte rau cos @ do sin@

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Q: A circular plate with radius 6 m is submerged vertically in water as shown. Express the hydrostatic ...

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Q: 6 for the Use sigma notation to write the Taylor series about x = function. 1 x+5 k =

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Q: B In Problems 31-40, find the intervals on which the graph off is concave upward, the intervals on w...

A: Find your answer below 

Q: A. Find the derivatives of the following functions: 1. f(x) = (-x - 5)* 2. f(x) = (-x² - 4)-2

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Q: Find the amplitude, period, and horizontal shift of the function. y = -3 sin(6(x +)) amplitude perio...

A: Given query is to find the period amplitude and the horizontal shift.

Q: 4. Assume y(x) = eaª cosBx is one of the solutions of the DE y(3) – 3y" + 7y - 5y = 0. Then α+β= (A)...

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Q: Use the Ratio Test to determine whether the series is convergent or divergent. Σ k! k = 1 Identify a...

A: topic- sequence and series  

Q: How much work is required to lift a 900-kg satellite to an altitude of 3· 106 m above the surface of...

A: This question can be solved using the concept of change of gravitational potential energy.

Q: the

A: We will find the derivative. 

Q: Find if the following is homothetic: F (x,y) = x²y +y3 %3D 1. Yes, it is homothetic. 2. No, it is no...

A: topic -  homogenous funtion

Q: The vat shown in the accompanying figure contains water to a depth of xo = 1.6 m. Find the work requ...

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Q: Use the Ratio Test to determine whether the series is convergent or divergent. 8 k! k = 1 Identify a...

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Q: Find the limitsof 1

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Q: Using the figure shown, find tang

A: Here we have to use the figure to find the value tanθ=?

Q: Questióh 2 of 9 View Policies Show Attempt History Use the formula for the binomial series: (1 + x)"...

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Q: An+1 to determine if the sequence An is strictly increasing or strictly decreasing. Use the ratio 5n...

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. 00 k + 7 k(k +...

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