1 tX

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

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Q: This part is required to be completed on a piece of graph paper: • Very neatly and clearly graph the...

A: We are asked to  draw the graph.

Q: 2,1 1,25 2,25 3,78

A: Explanation of the solution is given below...

Q: - 2 lim,→8- х — 8 X

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

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Q: Find all values x= a where the function is discontinuous. For each value of x, give the limit of the...

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Q: Write out the form of the partial fraction decomposition of the function (as in this example). Do no...

A: Given :    

Q: Evaluate the limit and justify each step by indicating the appropriate Limit Theorem(s). please sle...

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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: How much work is done raising a 6 kg mass to a height of 18 m above the ground? (Use decimal notatio...

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Q: Question 12 Find the moment of inertia of the region between the parabola y = 9 - x2 and the line y ...

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Q: 6. Use transformations to graph the following function. g(x) = -13 – x| + 5

A: Solution is written in below steps.

Q: List the points in the graph in the interval -1<x<7 at which the function is not differentiable.

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Q: The answer is: Find a value of a in [0°,90°] that satisfies the following condition: sec a = 1.40488...

A: Given query is to find the value of alpha for the trigonometric function.

Q: II. Write the equation of the circle in standard form and in general form given its center and radiu...

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Q: s Vã(4 – x)dx

A: Given: I=∫19x4-xdx We know that; The Power rule: ∫ax+bndx=ax+bn+1an+1+C ; n≠-1 And ∫c·fxdx=c·∫fxdx, ...

Q: f(x) g(x) = 3x – 5 Зх — X + 5'

A: Solution

Q: 7 x2 dx + 4x + 20 13

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Q: 3. Given r(t) = 12ti + 5cos tj + 5 sin t k , find the unit binormal vector and torsion

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Q: Consider the function below. Use it to find the following limits. ² – 49 F (x) |r – 7|

A: Given that: F(x)=x2-49|x-7|

Q: 5 Suppose u $v are ditferentiable functions of x Given uca) = -3 u'la) =8 Vca) = 12 V'la) =-16 find ...

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Q: The orthogonal trajectory for x^ 2 =ce^ x^ 2 +y^ 2 is

A: Orthogonal trajectory

Q: A rocket rises  s(t) = 8t5/2  feet in t seconds. Find its velocity (in ft/sec) and acceleration (in ...

A: Given that: Rise of rocket:                s(t)=8t5/2

Q: Find the first derivative or f'(x) of the function below using the techniques of integration f (x) =...

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Q: Given the function g(r)=2r^4−8r^3−10r^2: its g-intercept is  its r-intercepts are

A: Given the query is to g and r intercepts.q

Q: 3. Find the domain or range of the following functions f(x)=x-|X|. Find the range. f. f(x)=. 2-x. Fi...

A: Given:    f. fx=x-x Range:    The set of values of the dependent variable for which a function is de...

Q: S Vxi + 2x² + x dx

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Q: 1. Use the function f (x) = x² – 3 to answer the following questions" A. Find the average rate of ch...

A: Given:  fx=x2-3 To Find:  A To find the average rate of change ARC of fx on the interval 4≤x≤4.1.B T...

Q: Given the equation below. Give what is being asked. 3 3 sin -xcos, xdx a sin ucos udu 8 xpx, Find: a...

A: According to question,Given definite integral,∫04π3 sin638x cos638x dx = αβ∫0γδπ sin6u cos6u du

Q: Function g is graphed below. Select all correct statements about g at x = 3 a. Both lim g(x) and lim...

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Q: x-3 If f(x) = X-8 where is f not differentiable? %3D

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Q: dx 3 -1 (4-x²)7

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Q: Use the chain rule to compute the derivatives. a) f(x) = sin? x = (sin x)? b) f(x) = sin(x²) c) f(x)...

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Q: Set up the integral to find the length of J (X) = e from x = You don't have to integrate it. 0 to x ...

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Q: Given f(x,y) = x?y-3xy³. Evaluate | fdy 14y -27y" , c + C O -6y3 +8y/3+ C O 6x2 – 45x + C 4 O 2x² – ...

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Q: A 3-m long steel pipe has its upper end leaning against a vertical wall and the  lower end on a leve...

A: Given that: Length of steel pipe=3mLower end moves away from the wall at a speed = 2cm/s

Q: Use the product rule to find the derivative of (102° – 72*) (6e" – 7) Use e^x for e". You do not nee...

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Q: Ydx - xdy + x(2 - y)dy = y? ey dy %3D

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Q: Using distance formula, show that the points (2, -1), (0, 1) and (2, 3) are the vertices of a right-...

A: Our Aim is to show that the points (2,-1), (0,1) and (2,3) are the verticesof a right-angled triangl...

Q: Find the solution to dy/dt = 6y Satisfying y(1)=7 y = ?

A: Firstly , separate the variables and then integrate and solve. ∫1ydy = ln(y) +C ∫tn dt =tn+1n+!+C

Q: 4. The function f is defined for all real numbers. What is a reasonable estimate for lim f(x)? a. -5...

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Q: Find the integral of 12sin xcosxdx if the lower limit is 0 and the upper limit is 90°. OA 11.5 O B. ...

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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: 24) Find the volume of the solid that results when the region in the first quadrant bounded by the ...

A: Given:- curve x = 6y3 and line x = 14.8 Now, 6y3 = 14.8 y3 = 2.467 y = (2.467)1/3 y = 1.351 In The F...

Q: (2r+3, ifx 0

A: limit of function exist if left hand limit =right hand limit Consider left hand limit limx→0-(2x+3)=...

Q: Below is a value of cosh x. Use the definitions for hyperbolic functions and the identity coshx- sin...

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Q: Find the volume OF the solid Formed by revolving the region bounded by the graphr of x- -y't 4y, and...

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Q: y' = 4x(2y-y)

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Q: Use properties of limits to find the indicated limit. It may be necessary to rewrite the expression ...

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Q: What is the area bounded by the curve ?^2 = −9? and the line y+1=0?

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