average rate of change

Q: d sin x 1 dt| = dx et + 5 cO X 1 1 1 (A) esinx + 5 (B) e* + 5 (C) (esinx + 5) cos x (D) e sin x

A: We know that integration power rule is given as - Integration of xn is nxn-1.   Here i attached the…

Q: Let y tan(3x + 6). Find the differential dy vwhen a 2 and da 0.4 Find the differential dy when z 2…

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Q: Nse Ithe me tsodl undetermined Cofficients to solve Ithe diffevential equation dy +ay = cos bx ¥a…

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Q: Question 8 Evaluate the integral below by interpreting it in terms of areas. In other words, draw a…

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Q: 18 13 f(x) dz - f(x) dx = f(x) dx where a = and b =

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Q: Find the critical points and the interval on which the given function is increasing or decreasing,…

A: Critical points of a function: A critical point on the graph of a function y = f(x) is a point (c,…

Q: 3- -2 1- |-1 0 1 2 3 4 5 6 8 --1- t. --2- (a) Evaluate А (0), А(1), A(2), А(4), А(6), A(8). (b) On…

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Q: The function f(x) = 6(x – 5)2/3 is increasing on the interval %3D and is decreasing on the interval…

A: We are allow to solve one question and three subpart of question only so if you want rest of…

Q: Extremums et points d'inflexion N Aux exercices 33 et 34, utilisez les dérivée seconde de la…

A: 33) We have  y'=(x-1)2(x-2) .......................................... (1) We have to find maximum,…

Q: Evaluate the function f(x)=- 3.7521n x at x = 4. Round to 3 decimal places. (You may use your…

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Q: When a drug is intravenously administered to a patient on a continuous basis, the amount A (in…

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Q: Find the first derivative at x 2 for the function given by the data 1.0 1.5 2.0 3.0 0.4057 0.69315…

A: We will use Numerical divided differences method to find the first derivative at x=2.

Q: 14. A rocket is being launched straight up from ground level, and the launch is being monitored by a…

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Q: 1. The position of a particle is given by the function s(t) = t* – 32t where t is measured in…

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Q: Evaluate the following limits. If needed, enter oo for ∞ and -oo for – o. За3 8x? 5x | (а) lim 8 8x…

A: Solving

Q: Calculate the following limits. Justify your answer. (without using L'Hospital's rule Rule)

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Q: Suppose log ,2 = a and log ,3= c. Use the properties of logarithms to find the following. log b…

A: Now,                logb1728b=logb1728+logbb=3logb12+logbbUse logbb=1.=3logb12+1

Q: QS: Find the first derivative at x = 2 for the function given by the data 1.0 1.5 2.0 3.0 0.4057…

A: Solution: Given

Q: dx Let g(t) = | 4t

A: Given :g(t)=∫4tt4ex2dxFormula :ddx∫g(x)h(x)f(t)dt=f(h(x))h'(x)-f(g(x))g'(x)

Q: Given vectors ū and v , draw 2ü – v .

A: We have to draw given vector.

Q: For The following data, the best fit line is: X 2 Y 12 10 12 3 r will be - 0.987 r will be positive…

A: Explanation of the answer is as follows

Q: 9) A closed cylindrical can is to hold 1000 cubic centimeters of liquid. How should we choose the…

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Q: A woman wants to construct a box whose base length is twice the base width. The material to build…

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Q: Find the particular solution that satisfies the differential equation and the initial condition.…

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Q: 1. Determine the following using the graph of f provided below. If the value is infinite, specify co…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Evaluate the line integral F. dr, where F (x, y) = (3+2xy) i+ (x² – 3y²) j and C is the curve given…

A: Given problem:-

Q: Given that lim f(x) = 0 x-a lim g(x) = 0 lim h(x) = 1 xa lim p(x) = 0 lim q(x) = 00, xa evaluate if…

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Q: Describe the graph of the equation: r = 34 – Sj + (I + 30k. [Choose the correct answer) O The…

A: Given problem:-

Q: n(x-3)" Find the series' radius and interval of convergence Zn=1 2n /n2+1 100 Paragraph B IU A Lato…

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Q: Assume that x, y, and c are positive numbers. Use the properties of logarithms to write the…

A: Given :logc5xy

Q: dy 6. If y is a differentiable function of x and r + 2y3 x² = 8y?, then find dr

A: This question is based on diffrentiation chain rule.

Q: Compute the value of the improper integral. (If the integral diverges to oo, type oo; if the…

A: Solving

Q: Q "- The value of e-(in+1)n is а) (-1)" e-я-1 b) (-1)"e" c) (-1)" e-*+1 d) (-1)" e- Q2 The period of…

A: e-ix = cosx -i sin x If y=A sinBx then period -2πB.

Q: x2+3x-1 16. Use L'Hôpital's Rule to evaluate the limit lim Write o if the limit is infinite.

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Q: 4. Find the equation of the tangent line to the function y= In(x* -2) when x=3.

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Q: Find the 11th term of the arithmetic sequence. $1264.02, $1946.38, $2628.74, ... a11 = $ (Type an…

A: This is a problem of arithmetic series. Please follow the procedure given below.

Q: Fundamental Theorem: Let f(x) = [ Jcos (In t)dt . Find the value of f'(æ). %3D

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Q: Given the functions f(x) = . x + 2 and g(x) = x², determine all values of x for which Ag(x)) =…

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Q: Step 4 Since u = 6 – 4x, then converting back to an expression in x we get the following. (Remember…

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Q: 1. Consider the graph of y = f(z) below. State the value of each of the following. You do not need…

A: Here we have to find limx→2+f(x)=?

Q: Зx2 — 5х — 2 lim x→2 In(x – 1) - is | (А) 7 (В) 8 (С) е2 (D) 0 O A O B ос O D

A: The detailed solution is given below Thank you

Q: Given A = (-5, – 3) and B= (2,6), determine: a) AB b) AB

A: Given :A=(-5,-3)B=(2,6)

Q: xdy+ydx=xcasx-dx-

A: According to the company rule we can answer only first question and rest can be reposted.

Q: What is the minimum value of p (p>1) for which Q. 19 COS X dx <-? 9. 10 1+x

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Q: B. Integrate the following using the basic rules of integration and substitution. 1. fx² + 5x3 –x-3…

A: Given problem:-

Q: Graph the function. f(x) = 3*

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Q: Differentiate the three possible types of boundary conditions that can be used for second-order…

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Q: Find f '(x). f0) = (+4)5 f(x) f '(x)=|

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Q: Find the indefinite integral. Hint: Let u = 3 - Vx. (Remember the constant of integration. Remember…

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Q: Find the domain of y = log(2 – lx). The domain is:

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