trigonometric substitution 2 X (9-x² -dx

Q: The profit P for a company is P = 100xe-x/650,where x is sales. Approximate, using differentials,…

A: The given problem is solved below in detail.

Q: Find all points of intersection of the given curves. Select the correct answers. 0 ( ² ) O(+) (2π,…

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Q: 3 Solve the following GDES by variation of parameters methods ● •ý - 2y +y = e sinx X X Ans: y = ₁₂e…

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Q: P7:TE %7 02 7 The derivative with respect to x of the function y=-3tan-¹x-(In 3) log; (csc x) is y'…

A: Given: y=3tan-1x-ln 3log3csc x

Q: A solution to the DE ydx-xdy=0 is A B C D xy=C x = Cy none of these x=y=C

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Q: 2. Suppose that the position of a particle is r(t) = (cos(nt), ² sin(nt), t), 0≤t≤ 2n. A. Calculate…

A: Understanding of derivative while finding velocity and acceleration from position vector is…

Q: foo 0 dx e²x

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Q: 3. Compare the average rate of change on the interval 0 ≤ x ≤ 4 for the two functions whose graphs…

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Q: What does the slope of a secant line through two points on the graph of a distance vs time graph…

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Q: Let 8 f(x) = ΣX2 n = 1 Find the intervals of convergence for f. (Enter your answers using interval…

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Q: What value(s) of 8 are an appropriate choice when proving the following limit? lim (√6x +30) = 0…

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Q: Use L'Hopital's Rule to evaluate a) lim XXX b) lim X-2 2x e 4x 2x²-5x+2 5x²-7X-6 2

A: Let f(x) and g(x) are two continuously differential function at point 'c'. Then,…

Q: r3 0 d.x 16+ x²

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Q: 1. What is the average rate of change of the function f(x) = x² - 4x + 7 on the interval 1 ≤ x ≤ 3?

A: average rate fo change in an interval (a,b) =f(b)-f(a)b-a

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A: Understanding of inflection point calculations are required to understand this problem.

Q: ! Using an appropriate substitution, the integral dx 36-(2x + 2)² is equal to sin-¹(x + 1) + C the…

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Q: Find the absolute maximum and minimum values of the function, subject to the given constraints.…

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Q: The life X, in hours, of a certain kind of electronic component has a probability distribution…

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Q: ㅠ St tan5 (2x) sec² (2x) dx

A: Given:∫π2πtan5(2x)sec2(2x)dxsubstitute u=tan(2x)differentiate on both sideswe know that…

Q: 2. A right circular cylindrical container with volume 167 cm³ is to be made. Use the method of…

A: According to question,Volume of cylinder = 16π cm3

Q: Calculate the iterated integral. 3 [² [² (6x²y - 3x) dy dx Show My Work (Optional) Submit Answer

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Q: Find the directional derivative of the function at point P in the direction of v: f(x,y)=x^3 y,…

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Q: dv dt speed motion ough = kv-² mg Determine differential equation for the velocity v(t) of a falling…

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Q: Evaluate the limit 4-8 lim s+4 2-√√s 8

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Q: By Newton's universal law of gravitation the free-fall acceleration a of a body, such as the…

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Q: Suppose that we have found a value of 8 such that ε = What numbers should go in the blanks such that…

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Q: It is known that sin x = +∞0 (-1)" Σ|zn+1)! (2n + 1)! n=0 1. Find the Maclaurin series for x…

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Q: The general solution of xdy - ydx = x²e*dx is A B с D y+xe*+cx=0 x-yex + cx=0 x+yex-cx=0 y−xe*-cx=0

A: We have to solve

Q: A rectangular page is to contain 89 square inches of print. The margins on each side are 1 inch.…

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Q: Find the coordinates of a point on a circle with radius 20 corresponding to an angle of 100° (x,y) =…

A: I have appended the formula used in the solution part of the question

Q: Using an appropriate substitution, the integral cos cos (ln(2x)) X is equal to dx - — cos(ln(2x)) +…

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Q: Find the solution of the given initial value problem. 3y""+66y'-1044y = 0; y(0) 11, y'(0) = 57,…

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Q: The derivative with respect to x of the function sec y where y sec¹(2* cot¹x) is

A: We can solve this as follows:

Q: Find the differential dy of the given function. (Use "dx" for dx.) x + 1 4x - 1 dy = y =

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Q: Identify the variables in the following parametric equations modeling projectile motion: x =…

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Q: The derivative of y = In(sin(ex + 1)) is O y' = -ex cot(ex + 1) the above y' = -ex tan(ex + 1)

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Q: The indicated function y₁(x) is a solution of the given differential equation. xy" + y' = 0; Y₁ =…

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Q: A plane flies horizontally at an altitude of 6km and passes directly over a tracking teles cope on…

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Q: If f(x) = etan-¹(x²) then f'(x) at x = 1 is equal to TU 2e4

A: The explanation of answer as follows :

Q: A linear function is given. s(w) = −0.2w − 8 (a) Sketch the graph.   (b) Find the slope of the…

A: NOTE: Refresh your page if you can't see any equations. . divide both sides by -8

Q: 2. Find the Laplace Transform of each of the following. ( a. f(t)= (√E+1)(2-√E) √E

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Q: Consider the vector field F and the curve C below. F(x, y) = x4y5i + x5y4j, C: r(t) = (t²- 2t, t² +…

A: Consider the vector field F→ and the curve C F→(x,y)=x4y5i+x5y4jC:r→(t)=t2-2t,t2+2t , 0≤t≤1

Q: The number of bacteria in a refrigerated food product is given by N(T) 3 T 33, where T is the…

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Q: What is the radius of convergence of a power series? How do you find it?

A: Here we have to define the what is radius of convergence and interval of convergence and how to find…

Q: A ball bearing is placed on an inclined plane and begins to roll. The angle of elevation of the…

A: We can solve as follows

Q: Determine all the eigenvalues of the matrix G given below. Hence, obtain an eigenvector…

A: The understanding of Eigen value and Eigen vectors are required to solve these kinds of problems.

Q: Take xlt) then x (1) = => x/w) = -jut J'est dt 1.e => x(w) == 1 JW X(w) = Lx -jwt ax e [f10+ ] ~ Sex…

A: To check the +ve or -ve

Q: By using the substitution t² determine the convergence of = S ∞ dx (x+1)√√x*

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Q: Find the indefinite integral and check your result by differentiation. (Use C for the constant of…

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Q: Let f(x) = sin x and g(x) = ex. If y = f(g(x)), what is y'(0)?

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