2) The limit below represents the derivative of some function f(x) at some number a. limh→02(2+h)^6−128/h State the function and the number: f(x)= a=

Q: Evaluate the indefinite integral. 3x sin(4x)dx

A: The given integral,      ∫e3xsin(4x)dx

Q: Find a possible formula for a polynomial of degree four with zeros at (and only at) r -2, 2, 5, and ...

A: topic - polynomials

Q: 1. y = 3x2 - 5x when x = 3 dx when x= 2 b. dt a. 32 dt dy dt

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: log (x+8) ) dx 3

A:

Q: 2. Consider the function h(x) = 11 - + x3 a) Find the equation of the tangent line to the graph of h...

A: We will find the equation of tangent line as shown below

Q: 2x+5 x-1 Solve for the values of x in 323*2 411x+24 and in %3D 64 %3D

A: Given that: 323x2=411x+24        and         1162x+5=164x-1

Q: Evaluate ez dV where E is enclosed by the paraboloid z = 4 + x? + y², the cylinder x? + y? = 1, and ...

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Q: 10. Consider the poly (1, 2), (2,3) and the coefficients fo

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Q: r(e) = (3t - 5, t? + 2) (a) Find r'(t). r'(t) = (b) Sketch the plane curve together with the positio...

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Q: Find the volume of the solid whose base is the semicircle y = V4 – x2 where -2 < x < 2 and the cross...

A: Explained below 

Q: Find- cotX cosx dx

A:

Q: Graph the following functions : V4- x ,-2 s xs2 f(x) x-2 (-(x + 2),-2 sxs0 (1) 0sxS2 (2) y-4 sin3x

A:

Q: Evaluate the following integral by using method of substitution: 1/ (1+9x^2) dx Limit: 0 to 1/√3

A: NOTE: Refresh your page if you can't see any equations. . substitute  ............put it back in ...

Q: Find the volume of the solid with the given base and cross sections. The base is the circle x? + y =...

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Q: dy (x2 — 9) + ху %3D0 + ху — 0 dx

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Q: Find the derivative of f (x) = arcsin (x²). 2x f' (x) = 1-a4 f' (x) V1-x4 2x O f' (x) = V1-a² O f' (...

A: Use differentiation of trigonometric function

Q: Pls help ASAP

A:

Q: If   f(x) = 8x2 arctan (9x2),  find f’(x)

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

Q: direction of maximum rate of increase: Determine the rate of change in that direction. (Give an exac...

A: We have to find direction of maximum rate of increase and rate of change.

Q: Integrate the given series expansion of f term-by-term from zero to r to obtain the corresponding se...

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Q: Question 17 Use your knowledge of the properties of logarithms to match equivalent expressions: ] lo...

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Q: Which Riemann sum represents the illustration shown? AY 32 24 16 8 4 4 0 12 2x,2 i=1 3 Ο 1 Σ2X i=0 3...

A: Reimann sum

Q: There are 164 students in an Electronic Engineering (Computer) program where 110 students like Diffe...

A: Solved below

Q: Which integral would represent the area shown? AY 1.5 1+ 0.5- 0.5 1.5 2 o xd x o 2xd x x³dx 2.

A: Topic = Area

Q: Solve the problem. 23) Find the points where the graph of the function have horizontal tangents. f(x...

A:

Q: Geometry What is the length of the edge of a cube if, after a slice 1-inch thick is cut from one sid...

A: We have to find the length of one side.

Q: Find the radius of convergence for: Σ (- 1)"2" n=1 Vn+4

A: use the formula for radius of convergence for the  

Q: following expressions will simplify to just z. eln (z) Simplifies to z? ? logs (2) Simplifies to x? ...

A: Since you have asked multiple question, we will solve the first 3 question for you as per our guide ...

Q: 3. Consider the graph of h(x)=|sin(2x)|on the interval -- 2 2 a. List any x-values at which h(x) is ...

A:

Q: 2. 4. 14TC 9) csc - 3. 11) sin 13) tan 3. 15) sin 17) cos 0 19) cot 4.

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Q: 1. Use the chain-rule and find x and ÿ in terms of x, i, and ä if: а) у3 4x? b) y= 10x3

A: To find y" in terms of x, x', x".

Q: Use the given functions to find each of the following and their respective domains. Do not try to si...

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Q: If g(2) = 3, g'(2) = 5, h(0) = 2, and h'(0) = 4 find F'(0). F'(0) = ... ...

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Q: Find the derivative of y with respect to the independent variable. 20) y = 7cos TO A) -17COS TO In 7...

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Q: Complete the table below to identify the limit.Round all numbers to 3 decimal places. I – 2 lim I→2 ...

A: We have to find limit

Q: Use l'Hopital's Rule to evaluate the limit. cos 3x - 1 x2 21) lim x-0 A) - C) 0 D en len

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Q: Use the Shell Method to compute the volume of a solid obtained by rotating the region enclosed by th...

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Q: Perform the indicated operation. 6/27 - 9/75 The answer is (Type an exact answer, using radicals as ...

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Q: Let f(¤) Find the values of a where f'(x) 3. Give exact answers (not decimal approximations). The gr...

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Q: Simplify by rationalizing the denominator. V5 (Type an exact answer, using radicals as needed.) V5

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Q: Question 13 Solve the equation a? + 4x 1(16 +4x). The smaller answer is: the larger answer is:

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Q: Form a polynomial whose zeros and degree are given. Zeros: 8, multiplicity 1; -3, multiplicity 2; de...

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Q: Find a unit vector ū that has the same direction as the vector i = (-3, 3, - 3 -3 2 А. 22 22 22 3 B....

A: find the magnitude for finding the unit vector.

Q: Determine the minimum and maximum values of the following differential equation  X1=X3+3x2-8x+7 X2...

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Q: Which integral would represent the area shown? AY 8 4 X 0.5 1 15 2 2.5 6 2xdx o (2r + 1) dx 6 (2x + ...

A: topic - application of integration

Q: fin d valve of h the intervai (4.9)

A: We will solve for c. 

Q: Sin zt 2 2 7o47 mous

A:

Q: Which Riemann sum represents the illustration shown? 20 - 16 12- 8 X 1 3 4 4 O 12 3 i=0 4 o 124x; i=...

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Q: Points A and B have position vectors a = 2i + 3j – 4k and b = 2i – j + 2k. Point C has position vect...

A:

Q: Determine the infinite limit. 2+ 4x lim x-2 x - 4x + 4 00 8 O O

A: