If f(x) = 21, find f'(– 10).

Q: I. Use the limit of the rates as Ax approaches zero. Ax 3. y = x3

A: Given: - y=x3, the limit of rates ∆y∆x as ∆x approaches zero. To calculate: - The complete solution ...

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Q: 7. Read about the Integral Test in Section 11.3 and, specifically, through example 2 to see how the ...

A: P>1 then given series convergent using integral test

Q: Question Select your answer. What is the slope of the tangent line to the function -2 f(x) = at the ...

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Q: +3 dx 82x +3 (A) 2in(8) +C 82x +3 B +C In(8)2 82x+3 + C In(64) 42x +3 In(8) D - + C

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Q: For each function, determine whether it is a polynomial function. Is the function a polynomial? Func...

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Q: 2x+3 (1) Find the domain of the function H(x)= x' -4x

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Q: x = 3 sin 0 is an appropriate trigonometric substitution for the integral 3-x2 dxp. x2 Select one: O...

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Q: Find the derivative. 5+ sec q 5- sec q

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Q: Write the domain in interval notation. Write your answers as integers or simplified fractions if nec...

A: Topic = Functions

Q: 1. Determine if the set or relation forms a function. (a){(-2, 1), (2, 2), (–1,2), (1, 2), (0, 2), (...

A: Given

Q: 2х-1 dx 3 A 2x– 1) 2 1 -(2x- 1)2 + C 3 1 (B) (2x- 1)2 + 등(2x-1)2 + C 10 3 (2x-1)2 + 10 (2x-1)2 + C 3...

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Q: 3. Evaluate f x sin2 (x²) dx.

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Q: 3.) A fencing is limited to 50ft length. What is the maximum rectangular area that can be fenced in ...

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Q: Find all volves of o,b ond c such that the func Ef×メ goo)= てメー1) 1チxg? 21 if x= 1 is continuous at x...

A: Given

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Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it d...

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Q: B. Find the sor and aguation of the TANGENT and NORMAL LINE to the curve Graph cach curve, normal, a...

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Q: Find the radius of convergence and the interval of convergence. k + 2 Radius of convergence: 1 Inter...

A: To find the radius of convergence and interval of convergence use the following series tests. The c...

Q: 15 – 2x Evaluate -dx (x- 4)(2x²– 6x +9) Then, write the coefficient of the integral: Blank 1 In|x – ...

A: Using the partial fraction to solve this integration. 

Q: III. For each of the following series, determine whether it is convergent or div your answer briefly...

A: We have to consider the given series are convergent or divergent

Q: Write the logarithm as a sum or difference of logarithms. Simplify each term as much as possible. As...

A: Topic = Algebra

Q: I- dx et Р5+ 4e»

A: Explanation of the answer is as follows

Q: An office wants to create a cubicle for a new employee. The cubicle will be rectangular , with three...

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Q: The differential equation dy = xy+2y written correctly in separable form is dx dy dy (A) - = (x+2)dx...

A: Topic:-  differential equations  Note :- as per our guideline if more than one question uploaded tha...

Q: (lx] + 3 , ={-2x (6x +2, I<-3 Q4) Check the continuity of f(x) - 3 <x< 3 x2 3

A: topic - limits and continuity

Q: 1.) The cost C of a product is a function of the quantity x of the product: C(x) = x² – 4000x + 50. ...

A: As per our guidelines we are suppose to solve only first question if the multiple questions are post...

Q: Let y(x) be the solution to the following initial value problem.find y(e). Write your answer symboli...

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Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,...

A: Topic = Integration

Q: For each function, determine whether it is a polynomial function. Is the function a polynomial? Func...

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Q: a) The curves y = x² and x = y?. b) The curves y = x² and y = } – x².

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Q: 2x² +3 dx x(x – x(х — 1)2

A: Find your answer below 

Q: 11. In the problem, t is a real number and P = ,-26 is the point on the unit circle that corresponds...

A: Topic = Trigonometry

Q: Find the indicated derivative by finding the first few derivatives and recognizing the pattern that ...

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Q: 14. A 5 m pole, leaning against a wall slips in such a way that its base is vaet moving away from th...

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Q: nyn (a) ► n² + 2-n n=1

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Q: Consider a 60-N weight suspended by two wires as shown in the accompanying figure. If the magnitude ...

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Q: The graph of a conic section is shown below. Identify, among the options, a possible equation for th...

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Q: 1. Express B= 2i +j-3k as the sum of a vect or parallel to A = 3i - j and a vector orthogonal to A. ...

A: To express the vector B→=2i^+j^+3k^ as the sum of a vector to A→=3i^-j^. Solution: let B→=2i^+j^+3k^...

Q: 1. Find the truncuated error of the Maclaurin series sinx cosx given that is truncated into 3 terms....

A: This is a problem of series expansion. Maclaurin series is nothing but taylor series expansion at va...

Q: (a) Suppose the infinite series an is divergent. Then for any constant c, the series n=1 > can is al...

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Q: f(x)=6x-10 , g(x)= x^2+3x+8 (gof)(-2) = 55 none of these 25

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Q: onsider the following function. f(t) = 20sqrt t-3 (a) Find the relative rate of change. (b) Evaluate...

A: Consider the following function. f(t) = 20sqrt t-3 (a) Find the relative rate of change. (b) E...

Q: Given the following matrix and its eigenvalues 3 4 6 -7 1. Find the two eigenvalues for the matrix 2...

A: Given

Q: For each function, determine whether it is a polynomial function. Is the function a polynomial? Func...

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Q: 2. Consider the series E (In(2n + 1) – In(2n – 1)). n=1 (a) Let a, = In(2n + 1) – In(2n – 1). Does {...

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Q: I. Use the limit of the rates as Ax approaches zero. Ax 2х-3 4. y = ; Зx+4 引

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