Solve for Auxiliary Equation

Q: Find the length (in units) of the curve  y =  16 − x2  between  x = 0  and  x = 2.    units

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Q: 4-3/x lim X→+* 2+5/x

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Q: Set up an integral that represents the volume of a solid whose base is enclosed by the functions y =…

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Q: How did you know the period is equal to 4 seconds?

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Q: Find the average rate of change of the function over the given interval. f(t) = 4t² - 5, [5, 5.1]…

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Q: Use implicit differentiation to find d'y dx² d'y if 2x² - 3y² = 4. dx²

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Q: Determine the domain and range for the graph below. f 3 2 H -5 -4 -3 -2 -1 a. Domain: b. Range: 1 -2…

A: We can find the domain and range in the below steps.

Q: What is the general solution of the differential equation y"-2y'+y=0? Ay=C₂₁e²*+C₁₂xet (B) There is…

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Q: Rewrite the vector equation r(t) = (−4 − 3t)i + (3 − 2t)j + (−1 − 5t)k as the corresponding…

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Q: 1. ASSUME THAT Z IS IMPLICITLY DEFINDED AS A FUNCTION OF X AND Y. FIND THE FIRST PARTIAL DERIVATIVES…

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Q: Let g(x) = cos(x), and h (x) = -3x4 - 17x³ - 4x² +92x + 113. If f is a function such that g (x) ≤…

A: This is a problem related to sandwich theorem of the limit. Please follow the procedure given below.

Q: Find the general solution of the differential equation y(i) + 2y ''' —y" – 2y'=0.

A: This is a problem related to differential equation. Please follow the procedure given below.

Q: Find the amount of money accrued at the end of 8 years when $3000 is deposited in a savings account…

A: Formula for continuous compound interest  Where S=amount after t yearsS0=initial amountr=interest…

Q: Find the general solution of the differential equation y2dx + 2xydy=0.

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Q: Which term of the arithmetic sequence 1, 10, 19, 28, ... is 2802

A: we will find the required.

Q: lim +0+x (1-2)

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Q: XP ₂2/x-³ J 72.

A: This is a problem related to integration. Please follow the procedure given below.

Q: 5. 0= n n!

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Q: Find the points of intersection of the graphs of the functions y = 35 - 21x and y = 15x9x² (enter…

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Q: Q2. (a) Find the gradient vector Vf (e, 1) where f(x, y) = y ln(xy). (b) Find the directional…

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Q: Matrix A = [13],find Eigen values of 4².

A: First of all we will find A to the power 2, then we will find eigen values

Q: Graph the set of points of discontinuity for the following function: 1 f(x, y) xy+6

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Q: Which is NOT a solution to the differential equation y" - 4y' +4y=0? A B [2x + 3xe ² y=2e²+ y = e 2…

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Q: 3. Parabola vertex at x-axis, open to the right and the length of the latus rectum and the…

A: 3.We have to find the differential equation of the given parabola.

Q: A (В) -3 C -2 -1 O -1 -2 Graph of f' 1 Let f be a differentiable function with f(1) = 3. The graph…

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Q: Let r(t) = (sin(t), cos(t), 3 sin(t) + 7 cos(2t)). Find the projection of r(t) onto the xz-plane for…

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Q: 11).  Find the length (in units) of the curve  y =  16 − x2  between  x = 0  and  x = 2.

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Q: A. Solve f(D)y=0, where f(D)= D(D² - 1)²(D − 1)³. B. Find L{3e-10t - cosht+t(6/3).

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Q: f(x + h) − f(x), (Assume h ‡ 0.) - h For the function, find and simplify. f(x) = 8x² f(x +h)-f(x) h

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Q: 11.  Find the length (in units) of the curve y =    16 − x2 between x = 0 and x = 2.

A: NOTE: Refresh your page if you can't see any equations. . the given function is  and the given…

Q: After t days of advertisements for a new laundry detergent, the proportion of shoppers in a town who…

A: Topic-Exponential functionsWe are given proportion of shoppers who have seen ads after t days of…

Q: 6. f(x) = sin(2x)

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Q: k=0 k k + 10 k

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Q: An investment grows at 24% compounded monthly. How many years will it take to do the following?…

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Q: For the function f graphed in the accompanying figure, find the following limits. NOTE: If a…

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Q: Solve the IVP y""+y'=e*, y(0) = y'(0) =y" (0) = 0 using Laplace transform.

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Q: Question 1 Find the arclength of y = 2x + 3 on 0 ≤ x ≤ 4 Question Help: Video Message instructor…

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Q: Question 1 The differential equation y - 2y - 3x2=0 is linear and homogeneous. A FALSE B) TRUE

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Q: 18 n=1 n 10⁰ 2n²

A: Recall: Ratio test

Q: (e) y² + y x² + x dx separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in…

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Q: A utility company burns coal to generate electricity. The cost, C(p)C(p)  (in dollars), of removing…

A: NOTE: Refresh your page if you can't see any equations. . the cost function is

Q: Is the sequence an = 9n Your answer is (input yes or no) if your answer is yes, its first term is…

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Q: lim1 X→0 limx X-0 1 The function f is defined by lim lim x 0x x0x lim x→0 x² +1 X lim x→0 x²-1 f(x)=…

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Q: The graph represents the sales S (in millions of dollars) for Fossil from 2007 through 2013, where t…

A: Solution: Given graph,

Q: Eliminate the constant: y=c₁₂e³+₂x³ Oy"-6y +9y=0 Oy"-6y¹+9y=x Oy"-4y+3y=0 Oy" + 6y'+9y=0

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Q: 5. Rationalize the numerator to evaluate the limit. Be sure to show all your √³+49-7 h³ Q(²) = 0 lim…

A: First of all we will rationalize the numerator then we will apply the limits

Q: (1) Given f(x) (a) Find f 1 1-x 2 (²). f(x) = 2 and g(x)=√x² +2. (b) Find fog (c) Find and simplify…

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Q: Find values of m so that the function y = xm  is a solution of the given differential equation.…

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Q: The following are indeterminate forms except Olim (²-x)/x 1104 lim cos 2x lim lim In(cos 2x)

A: Here we have to choose the correct option.

Q: Determine the total differential dH of the function: H(x,y,z) = x^y+z

A: Given, H(x,y,z) = x^y+z