Solve the following ODES by Undetermined Coeff 11 4X y - 16 y = 19,2 € + 60e, y(a) = Y(u). 4X -4X Ans: y= 22 +1.8e +24Xe HO 4X -4e

Q: Find the gradient of the function at the given poin In(x² - y) -2, (3,8) X Vz(3, 8) = Z =

A: We are asked to find the gradient of the function.

Q: Write the given differential equation in the form L(y) = g(x), where L is a linear differential…

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Q: Find the exact value of the following expression. sin (sin ) Select the correct choice below and, if…

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Q: Solve the given differential equation by undetermined coefficients. y" - 8y' + 16y = 12x + 6 y(x) =

A: The given differential equation is;  y''-8y'+16y=12x+6.

Q: 1) If the sum of the squares of five numbers is 165 and their variance is 8. What is the mean of…

A: Since multiple questions are asked, I am answering first question

Q: When Newton's Method is used to approximate the root of f(x) = x³ + 2x² - 1 in in the interval [0,…

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Q: a ht C1 For the function f(x,y) = 4x² + 7y², find the following. a. b. f(x+h,y)-f(x,y) h…

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Q: 2ss" + (s')² = 0

A: we will solve the differential equation.

Q: 14) At what point on the graph of f(x) = instantaneous rate of change? a. x=8, x=2 b. x = 4 2009-2…

A: Given fx=x-8x-2x-4

Q: Complete the description of the piecewise function graphed below. 6 5 4 4 if m-fi { f(x) = -2 if 3…

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Q: (a) Find x, y, z and B, where Tox 37 A = 1 -3 y A² = 1; C(4+1)+3B7 = 2A, and I: unit matrix ; 4 o…

A: Please re-state the subpart (b) properly.   To find the values of x, y, z and the matrix B=?

Q: The top of a ladder that is 5 m long slides down a vertical wall at a rate of 2 m/s. At what rate…

A: Given :Length of ledder=5m

Q: (b) Determine whether the series n=1 n 3n+2 n is convergent or divergent.

A: See this solution in below

Q: How long it would take to double an invesment if the rate of interest is 10% compounded quarterly?

A: Follow the procedure given below.

Q: If cos x = 5/11 and the terminal point of x is in Quadrant IV, what is sin x

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Q: Explain why x ≤- 2, 0 ≤ x ≤ 5 could not be the solution to (x-5)(x+2) ≤ 0.

A: This question is based on solution of inequality.

Q: Solve 4x x-2 1 2 b. x= -2,2 a. x= 3x-2 x-2 for x. C. x = -2 d. x=2

A: We can answer the question as below.

Q: 8.6 EXERCISES In Problems 1-10, classify each singular point (real or complex) of the given equation…

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Q: Use the graph of the function f(x) to locate the local extrema and identify the intervals where the…

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Q: Without using a calculator, find the exact value of the expression: 20 cos(-315°) - 6 cot( - 135°).

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Q: A force of 660 newtons stretches a spring 3 meters. A mass of 55 kilograms is attached to the end of…

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Q: A textbook company publishes computer, educational and utility type of books. Their business…

A: We have to find how many educational books should the company publish annually for maximum profit.

Q: Find the derivative of the following function. f(x) = sinh 16x

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Q: 12 0 6 <<← ?° Q

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Q: 69. Tangent Line Find an equation of the line tangent to the circle x² + y² = 169 at the point (5,…

A: The tangent line to the circle x2+y2=169 at the point 5,12

Q: a B sin(A) = cos (A) = Note: Triangle may not be drawn to scale. Suppose a = 9 and b = 2. Find an…

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Q: 14-13-12-11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 Find an equation for the graph above. 4+h(t) 27 2 1 2 -2-…

A: The given graph is:   Consider the function is: y=AsinBx-C+D From the given graph, the maximum…

Q: To integrate by u-substitution, which part of the integrand should you choose as u? S cos de sin² x…

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Q: Use the power series f(x) = In (1-x) = -for-1sx<1, to find the power series representation for the…

A: The power series fx=ln1-x=-∑k=1∞xkk, for -1≤x&lt;1 we have to find the power series for px=9x8ln1-x

Q: (a) Find an equation of the tangent plane to the surface at the given point. x+y+z= 12, (5, 5, 2)…

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Q: State the restriction on the domain and then find the inverse of the function. f(x) = x² - 6x Domain…

A: The given function is fx=x2-6x

Q: What is the gradient of f(x, y, z) = x³₂² + y³z +125z - 1 at P(5,5,-1) ? 75i + 75k -75i - 75k 75i -…

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Q: Vf(1, 3) =

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

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Q: Two cars start from rest at a traffic light and accelerate for several minutes. The graph shows…

A: Given :The velocity of the graph of Car A and car B is given in the graph.And we know that the graph…

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

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Q: Evaluate the limit algebraically. 6x²-3x + 3 x-7 lim I →→2

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Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the…

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Q: Solve the given differential equation by undetermined coefficients. y" - y² + ²y = 2 + ex/2 y(x) =

A: The characteristic equation is            m2-m+14=0⇒4m2-4m+1=0⇒m=--4±02· 4⇒m=12,12 Now, the general…

Q: Solve the given differential equation by undetermined coefficients y" - 2y' 3y = 12ex 9 y(x) = -

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Q: Identify any holes in the graph off(x)= x=-=/ b. x=- x=-- a. 17 X+7 7x +49 C. x=7 d. x=-7

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Q: (a) Determine whether the series (b) Determine whether the series ∞ n=1 ∞ n=1 n+1 n³ +3 is…

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Q: Evaluate the following definite integral by using suitable trigonometry substitution: √2√3-2² dx.

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Q: Let R be the region below the curve y = 4x², to the left of above the x-axis. Find the centroid of…

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Q: Find the directional derivative of the function at P in the direction of v. 1 = √₂ (i+j) f(x, y) =…

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Q: 1 Find the partial derivatives with respect to x for the function f(x,y) f = O O 9y³ x-y 9y3 (x-y)2…

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Q: 1 yy" + (y)² = yy' y(0) = 1, y'(0) =

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Q: -2 -1 1+ 0 f'(x) 2 XY

A: the answer is given in step2

Q: Find the general solution of the given second-order differential equation. 2y" - 5y' + 6y = 0 y(x) =

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Q: (a) Find an equation of the tangent plane to the surface at the given point. x+y+z= 12, (4, 3, 5)…

A: Our Aim is to find :-(a) An equation of the tangent plane to the surface at the given point.Here…