I Determine whether each of the following functions is (a) continuous (b) differentiable 1. f(x) = x2 +x –1 for all values of x

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A: NOTE: Refresh your page if you can't see any equations. . 8 L of 40% acid solution = 8(0.4)=3.2 x L ...

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Q: Evaluate. V3 sin 士 %3D 2 + = [Select] a = [ Select ] b = [ Select ]

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A: We can find the vertex as below

Q: 1. lim n2+5".

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

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A: The objective of the question is evaluate the limit of the function.

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A: Topic = circle

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A: Given query is to find the area under the curve for the function.

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A: The given function f(x)=x6

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A: This question is related to differential equation. Solve in step 2.

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Q: Then (In (evz) +e VE) = %3D O True False

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A: Equation of line : y-y1 = mx-x1 where x1,y1 is the point and 'm' is the slope of the line.

Q: Find the derivative of the function using the definition of derivative. f(x) = 3 + 6x - 9x2 f'(x) = ...

A: We will find the derivative and domain of f(x) and f'(x) as shown below

Q: p(x) where p(x) is a quadratic polynomial and q(x) is a linear function. What are the possibilities ...

A: Let's find. 

Q: Find the derivative of the function. simplify where possible: 30) y=(x*cos^-1(x))-(sqrt(1-x^2))

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A: Given query is to find the marginal cost.

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Q: |x– 1, ifz> 0 estimate lim f(x).- [ 1, if z 4 5. а. 1/4 b. 2 c. does not exist d. 16

A: 4. f(x)=1,if x<0x-1,if x≥05. f(x)=1x,if x<4x2,if x≥4

Q: Given x'y+ xy = 2, find a) y and b) an equation for the tangent line at x= 1.

A: Given: - The equation is, x3y+xy3=2 To find: - The derivative of y, I.e. y'

Q: The amount of carbon-14 present in animal bones t years after the animal's death is given by P(t) = ...

A: given p(t) = p0e-0.00012097tand ivory tusk has lost 18% of carbon-14p(t) = po-18100pop(t) = 0.82p0t=...

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Q: Find the plane determined by the intersecting lines. L1 x= - 1 + 3t y =2+4t z=1-t L2 x= 1- 4s y = 1+...

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Q: d the equatiom of the tangent line to the curve xy – 7 = Vx + y² at the point (5,2).

A: For finding tangent line to the curve , find the derivative of the function and put the value of poi...

Q: For the given functions, find (fo g)(x) and (g o f)(x) and the domain of each. 1-X f(x) = 4x , g(x) ...

A: topic - composite functions

Q: Use this definition to find f'(a) at the given number a. f(x) = V5x + 1, a = 3

A: First we find out f'(x) then put x=a=3 in f'(x).

Q: sin2t costdt A sin2t B cost sin³r

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

Q: Find an equation of the tangent line to the curve at the given point.

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Q: 6 Find the Maclaurin series for f(x) = %3D 1+x

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Q: able of values to estimate the value of the limit (correct to three decimal places). If you have a g...

A: Please refer to the image below

Q: 192 Chapter 3 Differentiatio 27. Sports A baseball diamond has the shape of a square with sides 90 f...

A: Given query is to find the rate of change of distance.

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A: Given :Directed distance s from the origin at the end of t seconds is t3-6t2+9t feet.To find :When i...

Q: x*+ 4x t3 x? -x - 2 [x+ラ] ー1メ<1 1-X lim g (x) メ-7 0 lim g(x) x -71

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