use a table to estimate the limit of g(x)= sin2x/3x as x approaches zero. show how to plug in calculator.

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

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Q: Slope of a tangent line at t1 = 6.0 and y = at?

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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: Evaluate the following triple integral: 3 x x 6z dzdydx

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Q: 10 -dx (x – 1)(x² + 9)

A: According to question,Given integral,Let I = ∫10x-1x2 + 9dx

Q: Solve the following problem on separate paper being sure to show all supporting work. Answer any "in...

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Q: 12. Find a polar equation for the hyperbola with focus at the origin, directrix x = -2, and eccentri...

A: Polar equation of hyperbola is      r=ed/(1+esinthetha) 

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. use sum and difference identities to expand and simplify the following b. if g(x) = cos(2x) find ...

A: Here we have to use the basic sum and difference Angle formulae of trigonometric ratio

Q: Create a formula for the sequence Show how you get the -2,0,3,8,15 using the formula Find the series...

A: Difference between nth and (n-1) th term is nth prime number. 

Q: Find the following integral using substitution of the attached image. Clearly indicate what

A: Given, Evaluate

Q: F.M: 15 1. Use second derivative test to classify each of the given critical numbers as a relative m...

A: 1. A) f(x) = e-x(x² - 3x + 1)  So, f'(x) = e-x(2x - 3) - e-x(x² - 3x + 1) So, f'(x) = e-x(2x - 3 - x...

Q: In two or more complete sentences describe how to determine if the function f(x)=sin⁡(x) is odd usin...

A: How to determine the function f(x)=sinx is odd.

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: ax+: xp:

A: In this question , we can solve given integral by using substitution method. ∫un du = un+1n+1+C

Q: Express your answer in 2 decimal places.

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Q: Sketch one possible graph of a function f(x) defined on R that satisfies all the listed conditions. ...

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Q: c) limx'e*

A: We apply L-hospital's Rule to find limit.

Q: Direction: Find the derivative of the function. y = 2e* +e* Select one: O y' = 3 – 2e* O y' = 3e + 2...

A: We know that; The chain rule: fgx'=f'gx·g'x The Power law: ddxxn=nxn-1 Given: y=2e-x+e3x

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: Find the derivative of the following function using logarithm laws. (2x2 + 3) y = (x – 1)2

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Q: Use the graph to find the following limits. a. lim f(x) b. lim f(x) x+1 x3 a. Find lim f(x) or state...

A: From graphlimx→1-f(x) =0limx→1+f(x) =0Thus limx→1f(x) =0

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

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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: 3. lim c-11 f(x) = ? f(x) = -49 %3D 4. For example, if lim f(x) = 9 and limg(x) -10, then (a)lim (f(...

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Q: ) Determine the volume of solid obtained by rotating the region bounded by y = x^2 – 2x and y = x ab...

A: 21) Determine the volume of solid obtained by rotating the region bounded by y = x^2 – 2x and y = x ...

Q: (1 point) Use the given graph of the function f to find the folloW 1.(-4) = 2. (-3) = 3. f (0) = %3D...

A: 1) f-1(- 4) = - 1

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: 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: Given the parametric equations, x = 5i and y = t - 2, eliminate the parameter. %3D 2 V = 2 25 V = y ...

A: First find value of t using x  then put that value in y

Q: The half-life of plutonium-239 is 24,360 years. If 10 g of plutonium is released into the atmosphere...

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Q: Which represents the Period? (B) (C) (D) (A)- A D でビ

A: Topic = Functions

Q: 2. Let g(x) = tan(x/2). Find the area of the region bounded by y = g(x) and the x-axis for -2sx S2. ...

A: NOTE: Refresh your page if you can't see any equations. . the given interval is  so the lower and ...

Q: 5. Ydx - xdy + x(2 – y)dy = y? e dy

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Q: Given the equation below. Give what is being asked. sec23xdx a In(1+4tan3x) + C 1+ 4tan3x Find: a + ...

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Q: a. f(x) = 6 Select the correct choice below and fill in the answer box if necessary. C A. The deriva...

A: NOTE: Refresh your page if you can't see any equations. . take derivative the derivative is 

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

A: follow next step

Q: Estimate the slope (slope = rise/run) of the tangent line to the curve. Ay 10- dp 4 -> -1 0 1 2 3 4 ...

A: slope of the line passing through the points x1,y1 and x2,y2 , m =y2-y1x2-x1.

Q: x+k², ifx < 2 What value(s) of k will make f(x) = - continuous? %3D |kx + 10, if x 2 2

A: If the function is continuous then left limit is equal to right limit

Q: (x*y- xy")(xdy + ydx) + dy = 2xdx

A: To solve the differential equation we use some special form 

Q: the iner tind the area bound and the y-axir in the Firt quadrant.

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Q: SI S X+4 dx x2-16

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Q: Describe the transformation that can be applied to the parent function g(æ) = e* to obtain the graph...

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Q: Notices Answer four questions only. Degrees are distributed equally to all questions : 00 Evaluate ,...

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Q: Consider the following functions. f(x) g(x) = 3D Зх — 5 X + 5' Find (fo g)(x). Find the domain of (f...

A: Given that: f(x)=xx+5 and g(x)=3x-5

Q: The period of y = cos x is units. 4 7I

A: We can find the period as below

Q: 11T - If 0 = then 6. sin(0) = %3D cos(0) = %3D

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Q: Find the 14th term of the geometric sequence with a2 = -8/3 and as = 64/81 a14

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Q: 6. Using differentiation formulas, write the derivative with respect to x of the following. Find the...

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Q: Evaluate each limit using the appropriate algebraic methods. Vx + 8 a) lim- x-1 x+2 b)

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