Find the instantaneous rate of change for the function at the given value. f(x) =x + 4x at x= - 4 The instantaneous rate of change at x= -4 is

Q: Find the derivative. Determine the correct method for each. a) y = (lnx)3 b) y = Inx3 c) y = x3 - In...

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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 p...

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

Q: Activity: Investigate limlx| through a table of values. Approaching 0 from the left and from the rig...

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as ...

Q: 1. Determine the ORDER, DEGREE and LINEARITY (Yes or No) ORDER DE d² ds t2 - -t=1- sin(t) dt? dt x*y...

A: since we are given with the multiple number of question and our guideline is solve first question on...

Q: Analyze and apply statistics Find the derivative of the following:  a. y = 2x³ - 3x² + 6x – 5      b...

A: As we know that; The sum difference rule: f±g'=f'±g' The Power law: ddxxn=nxn-1 The Product rule: f·...

Q: Given that y = 3t^3 + 1 and x = t^2 - 5. Find y' when x = 4. Express your answer in whole number.

A: Given that: y=3t3+1x=t2-5

Q: At which of the following could a function fail to be differentiable? There may be more than one cor...

A: We have to discuss about where function is not differentiable.

Q: Find the parabola with equation y = ax? + bx whose tangent line at (1, 1) has equation y = 5x – 4. y...

A: Let's find. 

Q: 2x+

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Q: or the given function, find (a) the equation of the secant line through the points where x has the g...

A: Given the query is to  find the equation of secant and tangent for the curve 

Q: Air is pumped into a spherical balloon so that its volume increases at a rate of 100 cm /s. How fast...

A: d[r^n]/dr = n r^(n-1)

Q: Find the derivative of the inverse trig functions. a) y = cos-1 5x b) y = x· arctan x

A: We can solve both the question as below.

Q: Which represents the Midline? (B) (C) (D) (A)- O A O c D

A: Topic = Functions

Q: dx 3 -1 (4-x²)7

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

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Q: Find the derivatives of the following functions. Simplify as much as possible by com- bining like te...

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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: C. Find the average rate of change (ARC) of f(x) on the interval 4 < x < 4 + h. Note: your answer wi...

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Q: Y= Gas"(Sin-(tan

A: Given that: y=cos-1(sin-1(tan-1(csc-1x)))

Q: (4 points) Suppose the position (in feet) of an object moving horizontally at time t (in seconds) is...

A: As per the guidelines we are supposed to answer only three Questions , 

Q: 7. There is aremovable discontinuity at x = 1 andf(1) = 4

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: Use the properties of limits to help decide whether the limit exists. If the limit exists, find its ...

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Q: some items may need simplifying 21 1. .f(x) = [(x² – 9)Vx+ 2]|

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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: 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: function is in a form of y = ax^3 + bx^2 + cx + d. It has relative maximum at (3, 3) and point of in...

A: Here we use the basic concept of differentiation for finding the relative maximum and point of infle...

Q: If sin(0) : 3 and 0 is in quadrant IV , then find (a) cos(0) (b) tan(8) (C) sec(0) (d) csc(0) (e) co...

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Q: Find the area bounded by the line x-2y + 10 = 0, the x-axis, the y-axis and x=10.

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Q: 5e2x dx e2x + 11e* + 24 + 11e* + 24

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Q: Find 19. t sin 3t dt Jo

A: Topic:- integration  Note:- as per our guideline if more than one question uploaded than only first ...

Q: 5) [ e sin e dx

A: Topic = Integration   As per guidelines , At  a time only one question can be answered.

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

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Q: 2. BASEBALL A baseball player hits the ball at a 28 angle with an initial speed of 103 feet per seco...

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Q: Direction: Find the derivative of the function. I+5 w = 2x - 7 Select one: 17 (2г — 7)2 17 (2x – 7)2...

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Q: 2. Given r(t) = et cos t i + e' sin tj + e'k , find the tangential and normal components of accelera...

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Q: write the following integral using the opposite order of integration. Do not evaluate the egral. 4 x...

A: follow next step

Q: <, y) = )-« lustrate with a sketch. y 4 3 3 2 2 2 1 -4 -3 -2 1 1 2 4 -4 -3 -2 4 -4 -3 -2 /1 -1 -2 -3...

A: Topic:- calculus

Q: 2.

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Q: Find all the local max/min and saddle points for the function f(x, y) = a + y³+3x2 - 3y? – 8

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Q: |S(1 – cos 4u) du

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Q: 2y (x+y+2) dx + (y²-x²-4x-1)dy = 0 when x=2, y= 3 |

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Q: For each of the following integrals find an appropriate trigonometric substitution of the form x = f...

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

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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 p...

A: We can solve all the three parts as below.

Q: 10 dx a > 0 (a2 + x2)3/2'

A: NOTE: Refresh your page if you can't see any equations. . ...........(1) substitute  ............pu...

Q: Solve the differential equation. dy 10x 16 - y, -4<y<4 dx %3D - The solution is (Type an equation.)

A: Topic = Differential equation

Q: Direction: Find the derivative of the function. y=- -z+ 2e Select one: O y' = 4x? – 1+ 2e" O y' = 4x...

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Q: Find the first derivative or h'(s) of the function below using the techniques of integration: 4 h (s...

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Q: Find (f)(a). (x) = 3x + 3x² + 7x + 7,

A: We are given the following. We know that . So,         f-1'(7)=1f'f-1(7).

Q: Find the area enclored by the x-axis and

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