day 2x + 5x dx4 dy 3 dx' - xy = 0

Q: III. Find the differential equation by eliminating the arbitrary constant/s. 1. ecos.x = c(1- cos…

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Q: Evaluate lim f(x) if f (x) x-5- A B -10-4 D 0 ∞ ∞ = 1 (x - 5) 4

A: To find out the limit.

Q: y(x) = c₁e* + c₂e-x + 4sin(x)

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Q: Eliminate the arbitrary constant. 2x -X y=c₁e + c e 1 2 A B с D y" y'- 2x=0 y"-y'- 2y=0 2y"-y-2x=0…

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Q: Find an equation for the tangent line to the curve f(x) = x³ at the point (-2, - 8). Then choose the…

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Q: Solve the following linear system by Gaussian elimination. X1 = X2 11 x3 = and X1 + 4x2 + 2x3 = 12…

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Q: = Suppose that f and g are functions where f(- 9) = -5 and g(0) be on the graph of y = f(g(x))?…

A: We have, f-9 = -5 g0 = -9 The function is, y = fgx                                .............1 To…

Q: X f(x) f(x) = Complete the table. (Round your answers to four decimal places.) lim x-0 √x+7-√7 X X…

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Q: 2. Make up a differential equation of the form dy dt that has the function y(t) = e²t = 2yt+g(y) as…

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Q: The point P(1, 0) lies on the curve y = sin( (a) If Q is the point (x, sin(¹3″ )), find the slope of…

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Q: Chasity goes on a road trip; her car gets 24 miles per gallon (mpg) and gas costs $3.24 per gallon.…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 3 3. y' for y² = x²y³

A: to find out the derivative

Q: 1. Cot cot x dy + ct x dx -x dx. xdx Sdx

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Q: Evaluate the integral|5x-1| dr. Answer:

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Q: Suppose the quantity (in grams) of a radioactive substance present at time t is Q(t) = 38,416…

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Q: 3) Find the second derivative of y with reference to x. xcosy = y

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Q: Evaluate the doubl Treat as

A: First we integrate with respect to x

Q: limx→0 sin 2x 2x²+x

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Q: What is the best substitution to make to evaluate S O u = 3x Ou = e³x u=1+e³x Ou = e-3x e³x 1+e³x dx…

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Q: Use the Intermediate Value Theorem to show that there is a root of the given equation in the…

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Q: List the x values of the discontinuities of the function: 4 1+ e4/r y = X =

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Q: -22 the x-axis, x=-1, and x = 1. Use Define R as the region that is bounded by the graph of the…

A: The region R is bounded by the graph of fx=1-x22, the x-axis, x=-1, x=1 The solid is formed by…

Q: Given f(x) = √x and g(x)=x²-9, find the composite functions. (a) f(g(3)) (b) g(f(9)) (c) (^(-¹)) (d)…

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Q: y(4)-8y" + 16y=0

A: To solve the differential equation

Q: Question 22 of 25 If f'(x)=+5 where f(1) =0, then f(3) = A)-12 B) 12

A: Solve the given function

Q: 23. Find the absolute value of the resulting error if the value of fx³ dx is estimated with 3…

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Q: If A = 1=1 ²₁₂ 21₁B =[ ²¹/₂ 3 b) B.A c) A-2B a) 3A-C 3] -2 = [3²5] 4J and C= Find:

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Q: The differential equation dy 18 dx y¹/2 + 4x²y¹/2 has an implicit general solution of the form F(x,…

A: The given differential equation,      dydx=18y12+4x2y12 we have to find the general solution of the…

Q: 3. 3.) (гуч 7 3ху - 2ytox) art (хочу -) бусо

A: See the details solution in below

Q: Label the zeros and asymptotes. Graph each function. Answer each limit question. 11. f(x) =…

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Q: Prove the identity. sin (x-y) cosx cosy tan.x - tany Note that each Statement must be based on a…

A: We can prove the given statement as per the example in the below steps.

Q: Find c such that the function x ≤ c { is continuous everywhere. f(x) = x² - 3 X 6x 12 x > c -

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Q: 1. f(x) = sx (x+1 if x ≤ 0 if x > 0

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Q: Take the integral: *x+1 x-1 dx

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Q: ] 8. In a company telephone tree, each employee is to phone two other employees. In the first round,…

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Q: 2. Set up the integral to find the value of the area bounded by the graphs. You do not need to…

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Q: Solve the Differential Equation x² (y² +3) y(x³+1) dy + dx = 0

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Q: In Exercises 5–8, determine whether the graph of the function is symmetric about the y-axis, the…

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Q: for f(x)=3x^2, find the average rate of change of the function over the interval [0,2].

A: For the function fx=3x2, to find the average rate of change of the function over the interval [0,2].…

Q: Determine where the function F(x)= 4x 2 x +49 is continuous. The function is continuous on (Simplify…

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Q: Refer to the function f shown to the right. Use the graph to estimate the indicated function values…

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Q: 13. lim -0 15. lim √x+4-2 x-1 x-1

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Q: If plq-r)x+q (-p)x+rp-q) = 0 has equal roots, then prove that ² = 1,1 9 Pr pr

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Q: The locations of three receiving stations and the distances to the epicenter of an earthquake are…

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Q: Use the spreadsheet to answer the following questions. 83 AENT 4 5 A 47 37 94 76 60 B Answer: 3 82…

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Q: For the following function models the position s(t) of an object moving along a stright line, where…

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Q: Find the Differential Equation of the Family of Ellipses with its center at the origin.

A: Here is the solution:

Q: Find the limit of the function lim x → − 2 ( 2 − | x | 2 + x )

A: Topic:- calculus

Q: Find the trace of the matrix. The trace of an nxn matrix A is the sum of the main diagonal entries.…

A: The given matrix is A= 1 0 5 1        0 1 -1 5       2 5 1 0      0 0 4 1.

Q: Solve for x, y, z, and win the matrix equation (X, Y, Z, W) wx 2 {]+=[xx]-

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