x 3 For the function f(x)= 3 27 ·x+39 2 - 4 What is the range of value over which the function is decreasing? What is the range of values over which the function is strictly concave downwards?

Q: To prove quotient rule formula using the definition of derivative or limits, let the function f(x) =...

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Q: п — 3 - an

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Q: For the following function, a) give the coordinates of any critical points and classify each point a...

A: Question- For the following function, a) give the coordinates of any critical points and classify ea...

Q: By trigonometric substitution 3.x -x+1 (x+1)(x² +2x +2)

A: To find out integration. 

Q: (2) = 8 and f '(x) > 3 for 2 < xs7, how small can f(7) possibly be?

A: Topic:- calculus

Q: 2. Consider the functions f(x) = x² and g(x) = VT. (a) Use linear approximation to approximate the v...

A: detailed solution mentioned in step 2 and 3.

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: Let's find. 

Q: 3) Mr. Rodriguez needs to select 9 players for his basketball team. There are 20 available players ....

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Q: Determine whether the planes are parallel, orthogonal, or neither. 9x - 2y + z = 3 x + 7y + 5z = 1 O...

A: We have to find the angle between the given planes which is equal to the angle between normals to th...

Q: Integrating factors found by inspection: (xy³ +xy dx+(x²y² – 2 dy = 0 0 =

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Q: 6. The region of integration D is bounded by the graphs of the functions y = x*, x + y = 2,x = 0. Sh...

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Q: 2. For the function g(x)= 2x^3 − 3x^2 a) State the domain of g(x). b) Determine the critical number...

A: The given function is: g(x)=2x3-3x2⇒g'(x)=6x2-6x=6x(x-1)

Q: Use the alternative form of the dot product to find u · v. |u|| = 50, ||v|| = 35, and the angle betw...

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Q: For the graph shown, identify a) the point(s) of inflection and b) the intervals where the function ...

A: Given query is to find inflection point and interval where concave up and down.

Q: Determine any planes that are parallel or identical. (Select all that apply.) OP: -120x + 30y + 120z...

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Q: Let f(x) = 6x²(x – 1) + 10.

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Q: 3. fx3 sin x dx

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Q: drones

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

Q: What value of K will make the lines 2x + 3y -2= 0 and -6x + Ky= 3 perpendicular? Parallel?

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Q: Find the General Solution of the following differential equations: 1. (D4 + 24D3 + 216D² + 864D + 12...

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Q: 00 3n + 1 Consider the series Evaluate the the following limit. If it is infinite, type "infinity" o...

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Q: fa cos (6x) cos (3x)dx

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Q: Assuming that the equation below defines y as a differentiable function of x, find the value of dy /...

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Q: 2. Use implicit differentiation to find dy/dx: e"y+ In(arcsin 2y) = 3ª ln y + 5.

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Q: Find dy/dx by implicit differentiation. exly = 4x – y

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Q: V4x°. lim 6 - x (d) x' +5 x² – 49 lim (e) Vx+2 -3

A: This question is based on Limits solving by analytical methods.

Q: An open rectangular box is to be constructed by cutting square corners out of a 16 by 16 cm piece of...

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Q: Find the common ratio and write out the first four terms of 7n+2 the geometric sequence 6 Common rat...

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Q: 5. (a) Complete the following unit circle. 0 or 27 11T 6 klo . 프

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Q: belore it becomes the cheaper alternative. 3. Cost of Solar Panels Suppose the average cost of elect...

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Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. ...

A: Answer is infinity 

Q: 3" The interval of convergence for the power series > - x" is r=1 O (-) O (-1) O (-1) 1 1] 3 3 [f 'f...

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Q: Find the area of the triangle with vertices P(1,5, –5), Q(0,0,0) and R(2,4, 1). NOTE: Enter the exac...

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Q: - 121, (11,-11) the correct graph below. O B. OC. O D. 20- 20- -20 w gmrm 20 -20 20 -20- -20 quation...

A: We will use the concept of tangent line.

Q: fcos cos² xdx 2.

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Q: Use D-operator methods to solve (1) (0²+16)y= tsint Cii) (D²+D+5)y =t coszt %3D

A: Given : i) (D2+16)y=tsint ii) (D2+D+5)y=tcos2t.

Q: Determine whether the planes are parallel or identical. -6x + 4y – 9z = 5 18x - 12y + 27z = 14 O The...

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Q: s dx 2

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Q: 8. lim xcot3x

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Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers a...

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Q: omework. Find Sup, Inf , Max, Min of the following subsets of R: S4 = {x € Q : x? < 2}.

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Q: Determine whether the lines are parallel or identical. x – 8 – y + 9 z + 4 %3D 4 -5 3 x + 4 – Y - 6 ...

A: Given query is to find the lines are parallel or identical.

Q: dy Then find the slope of the curve at the given point. dx Differentiate implicitly to find 3x - 5y ...

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answ...

A: We can find the critical numbers as below.

Q: A sector with central angle ? is removed from a circle with radius 12 inches. The  edges of the rema...

A: To find the value of central angle at which volume of cone becomes maximum.

Q: Suppose the product of x and y is 49 and both x and y are positive. What is the minimum possible sum...

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