dy What is the general solution to the differential equation x = x + y? dx y = In|x + y| + cx y = x In|x|+ x + C в y = x In|x| + Cx y = x? – In|x| – Cx O A

Q: the improper integral dx convergent or divergent? If it converges, find out to what it converges.

A: Given query is to find the value of the integral.

Q: 1.)When m is odd, we can integrate sin" (x) dæ by letting u cos(a). Why does have to be odd for this...

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Q: (2 x* y? + 4x² y + 2 x y² + xy* + 2 y) dx +2 (y³ + x² y + x) dy = 0

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Q: - 5 sin Find the period of the graph of y = 4 O 87 O 2 01 Submit Question

A: period of function  ASin(B(x+c)) is 2Π/B 

Q: 3) Natalie works as a playground supervisor for 8 weeks during the summer at a rate of $15.27/h. She...

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Q: 6. Let T: R → R be defined by T((a, b,c)) = (a, a – b,b + c). Determine whether T is a linear transf...

A: 6. T:ℝ3→ℝ3 be defined by Ta,b,c=a, a-b, b+c

Q: For the functionf(x) = |x – 2|, evaluate the left and right limits of f(x) as x approaches 2. Provid...

A: We are asked to evaluate the limit.

Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

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Q: Find the maximum of f(x, y) = 2x + 2y – x²-} - xy on the square, 0 s xs a,0sysa, a = 3. Edge a0 - Bd...

A: In order to find the critical point first we need to partially differentiate with  respect to 'x' an...

Q: (MULTIPLE CHOICE) Which of the following equations is(are) variable separable? dN + N = dt N dr (A) ...

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Q: 43. Using the method of undetermined coefficients, write the form of the assumed particular solution...

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Q: ge false. If true, you must explain why. If false, you must give a concrete counterexample (with num...

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Q: 3 4 Sa cos xsin xdx cos

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Q: ind the equation of the curve at every point of which the tangent line has a slope of -e-.

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Q: Does dy/dx= y-2y/x for ln(2xy)=x

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Q: dx Evaluate V4x – x2 - A. 2 3 C. 4 D. B.

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Q: sin x 3. Vcos x

A: To evaluate: I=∫0π2sin5xcos x3dx=∫0π2sin4x(cos x)13sin x dx=∫0π2(sin2x)2(cos x)13sin x dx=∫0π2(1-cos...

Q: Answer the question below: The student should find the local linear approximation of a function in t...

A: Let's find. 

Q: Time Velocity (cm/sec) Velocity (cm/sec) Time (sec) (sec) 28 1 30 15 56 25 15 38 10 33 -23 45

A: To find:- The accompanying table shows the velocity of a model train engine moving along a track for...

Q: 34. Give linearly independent functions that are annihilated by D°(D – 2)(D+3).

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Q: Use substitution to evaluate the integral 6 cos t (2+ sin t)? dc 6 3 3 + C 2+ sin t + C 2+ sin t + C...

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Q: Since 3 (k + 1)³/3k+1 (1+ ±)* 1 lim k→+∞ lim k→+∞ 3 3 the series (converges/diverges/inconclusive) b...

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Q: Determine the standard form of equation of a hyperbola with center at (-2,1), distance from the cent...

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Q: R has degree 4 and zeros 3 − 5i and 3, with 3 a zero of multiplicity 2.

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Q: (v-8)2 + 36(x + 1)2 = 4? What are the coordinates of the center of the ellipse (A C(1, – 8) B C(-8, ...

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Q: How would this parametric function of x=2cost +cos2t; y=2sint-sin2t be solved

A: In order to solve a parametric equation, firstly differentiate x and y with respect to t and then di...

Q: 1. Find the value of the directional derivative at the particular point Po for the given function in...

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Q: Determine the general antiderivative below. (Use a capital C as the integration constant.) (x+3)/x-1...

A: We have to find integral

Q: f(x+h)-f(x) mplify the difference quotient for the given function f(x) = 7x - 3x+2 x+h) - f(x) (Simp...

A: Per are asked to find the difference quotient 

Q: Let R = [0, 12] × [0, 12]. Subdivide each side of R into m = n = 3 subintervals, and use the Midpoin...

A: The solution is given below

Q: For the next six questions, consider the differential equation: y/" + 4y = g(x), g(x) # 0

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Q: $6. Determine the complementary function for the given DE.

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Q: Given f(x) = 3 – x', use a table to estimate the slope of the tangent line to f at the point P(-2, 1...

A: Given :- Given f(x) = 3-x³, use a table to estimate the slope of the tangent line to f at the point ...

Q: Give the coordinates of the vertex to the right of the center in the equation: (x- 3)2 (y-1)² =1. 9....

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Q: Find the derivative of the following exponential functions: ans. y' = -4e-4x 1. y = e-4x ans. y' = x...

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Q: Given the graph of f(x) below, which of the following limits exist? o a lim, s f(z) O b. lim,, 3S(z)...

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Q: Find the points on the curve y-9x closest to the point (0, 4). ) and (O

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Q: 7. Prove that lim r' cos(5/r) 0.

A: Topic = Limits

Q: Find the local maximum and minimum values and saddle point(s) of the function. You are encouraged to...

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Q: Given the data table Years U.S. Population (millions) after 2000 1 285.5 295.5 8. 303 10 0. Use the ...

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Q: - 1. der the equation In ay Ehow that (r, y) = (1,1) is a solution to this equation. dy Find dz (my)...

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Q: (x+2)? Consider the ellipse whose equation is given by + (y+ 5)2 = 1. 25 What are the coordinates of...

A: Coordinates of vertices are:-

Q: 7. Solve the inequality g(r) = 9r + 9r-25r – 25x2 < 0 first algebraically and then checking your ans...

A: Given that Inequality gx=9x5+9x4-25x3-25x2&lt;0Solution :9x5+9x4-25x3-25x2&lt;0x29x3+9x2-25x-25&lt;0...

Q: A burn on a person's skin is of the form of a circular region. It was found out that the burn increa...

A: Given: - A burn on a person's skin is of the form of a circular region. It was found out that the bu...

Q: . Find the slope and equation of the tangent line to the graph of the equation at a given point. 1. ...

A: Topic:- derivatives 

Q: A rectangle has an area of 198 cm and a perimeter of 58 cm. What are its dimensions? Its length is I...

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Q: 2) Determine dz/dx and dz/dy for z* – y? + x² = 6x²y³z? %3D

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Q: Find the length of the arc of the curve x = t, y= t° between the points for which t = 0 and t = 2. %...

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Q: Time Interval [1, 2) [1, 1.5] [1, 1.1] [1, 1.01] [1, 1.001] Average Velocity | Complete the followin...

A: We will find the average and instantaneous velocity. 

Q: What is the second derivative of f(x)=x^2lnx

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