Logarithms as anti-derivatives. 4 ¤(In z)2 Hint: Use the natural log function and substitution.

Q: dy sin(2x) Find for y || dx /3 – x2 dy dx II

A: Doing the proboem by obtaining the derivative.

Q: a) Find the inverse of the function. b) Sketch the graph of f (x) and f-1(x) on the same Cartesian p...

A: We have to solve three parts on the basics of Given function.

Q: dt x-5

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Q: Let f(x) = 7 9(z) = and 2 7 7x - h(x) : | (a) Find the domain of g. Write your answer in interval no...

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Q: Determine whether the given differential equation is separable. dy ye 3x +3y メ+4 2 dx Is the differe...

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Q: Evaluate the following indefinite integral. -x-2 (a) dx dx (b) cos 0 sin Od0

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Q: Several years ago, ADTF Distributors purchased a brand new cargo plane to increase their coast to co...

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Q: (c) At what time do they have the same velocity? 13. If a ball is thrown into the air with a velocit...

A: Given query is to find the velocity of the ball. We will use derivative to find the velocity.

Q: 3. A pair of lines in R3 are given. Determine whether they are parallel, intersecting or skew. If th...

A: NOTE: Refresh your page if you can't see any equations. . lines are parallel if 

Q: Choose the correct graph of F(x) = 2 sin(2x + T): 2 1 27. 3 -1 -2

A: Find your answer below 

Q: etermir nine whether the following (a) E:

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: the following. Show solution using the basic formulas.

A: Given that:

Q: Slope of a tangent line at t1 = 6.0 and y = at? dy v = lim At-0 dt

A: Given that: y=αt2

Q: 7 x2 dx + 4x + 20 13

A:

Q: For the function f(x) = 4e", calculate the following function values: f( – 3) = - f( – 1) = %3D f(0)...

A: Please see the explanation below and appreciate my efforts...

Q: A forester wants to measure a tree's height. Assuming that the tree is at a right angle to the plane...

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Q: A 28-ft ladder leans against a building so that the angle between the ground and the ladder is 75°.

A: FOLLOW next step

Q: only 8 please

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Q: True or false. 1. A conic section with equation (x-h)2/a2 - (y-k)2/b2 = 1, we have c ≥ a. 2. If f ...

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Q: Let f(x) = e. It can be shown by direct computation that f() (x) S 76e on the interval [0, 1). Using...

A: According to question,Given function.fx = ex2

Q: Use the method of disks/washers to find the volume of the solid formed by revolving the region bound...

A: Volume

Q: Find the length of an arc intercepted by a central angle 0 in a circle of radius r. r= 72.22 in, 0= ...

A: This is basic problem on angles solution is given in the next step

Q: Kindly show illustration and solution. The highway department is planning to build a picnic park fo...

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Q: Direction: Find the derivative of the function. y = -z² + 3 Select one: O y' = -2x O y' = 2x O y' = ...

A:

Q: Solve the following  complex numbers in their rectangular form. Use 4 decimal places  for the comput...

A: Given:  cot (3.0642 + 2.5712i) 

Q: ずx 1

A:

Q: Given the parametric equations, x = 2t + 5 and y = 3t2 - 1, find the point on the graph at time, t =...

A: We can find the point as below

Q: Evaluate the following. Show solution using the basic formulas.

A: Evaluating the indefinite integral  

Q: Solve the equation for 0 <0 < 2n cos? 0 – sin? 0 = -2 – 3 cos 0 |

A: Topic = Trigonometry

Q: Find the extrema and inflection points of f(p) = 900 p - 30 p2 using derivatives.

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Q: (10x -) dx

A: We can find the integration as below.

Q: A farmer buys a new tractor for $156,000 and assumes that it will have a trade-in value of $84,000 a...

A: The depreciation rate is the percentage rate at which asset is depreciated across the estimated prod...

Q: Previous 1 as follows: Let f(x) 1 and find the equation of Use linear approximation, i.e. the tangen...

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Q: The graph of f shown consists of a semicircle and two line segments on the interval [-2, 6]. Let g (...

A: For the concave up, g"(x) &gt; 0 and for maxima g"(x) &lt; 0  

Q: the following. Simplify your answer and use exact values. f' (x) f''(x) f''(x) :

A:

Q: 3-20 Find the limit. x² - 9 3. lim 4. lim + 2x - 3 x - 9 5. lim + 2x - 3 6. lim x² + 2x - 3 31-3 (- ...

A: Solution is given below:

Q: 4 y = (x +3) Lax-1)

A:   Since you have posted multiple question as per guidelines we can solve only one question at a time...

Q: Find the x-value(s) where the graph does not have a derivative. The x-value(s) where the function do...

A: NOTE: Refresh your page if you can't see any equations. .

Q: 7. i and y are vectors of magnitude 1 and 2, respectively, with an angle of 120° between them. Deter...

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Q: (x + 6)dx J (x + 2)² 4 In(x + 2) + +C x +2 4 -In(x + 2) + C x +2 Option 1 Option 2 4 In(x + 6) + + C...

A: Evaluating the indefinite integral

Q: Find the exact value of s in the given interval that has the given circular function value. V3 CoS s...

A: Topic = trigonometry

Q: Find the angle of least positive measure (in degrees, not equal to the given measure) that is coterm...

A: The objective of the question is determine the least positive coterminal angle with A.

Q: The figure shows an angle 0 in standard position with its terminal side intersecting the unit circle...

A: As x =r cosθ and y=r sin(θ)Point (x,y) lies on the circle and 'r' is the radius of the circle.

Q: The following function has an absolute maximum at [ Select ] and an absolute minimum at [ Select ] 6...

A: The given data is:  

Q: 44. г(t) 3 (2t%)/2, t3), for 0 < t<2 %3D

A:

Q: 1= y - 4y (-3, 3) z = 2y – y -1.

A: Given the query is to find the area bounded by the curve.

Q: Choose the correct graph of y = cos x, - < x< T: 2 27 3. -1 -2

A:

Q: #4

A: The graph of the given question is attached in the next step

Q: Express in terms of i. V- 4

A: -4=-1×4=-1×4=i×(2)=2i

Q: Determine the slope of the line passing through the given points. Write your answer in exact, simpli...

A: