Solve the following ODES by Undetermined Coeff 11 X 4X y 16 y = 19.2 € + 60 e - , уса) =ўс=0 THY 4X

Q: g(b)= g'(b)= Calculate g(b) and g'(b) where g(x) is the inverse of f(x) - 18, where b=4 248

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Q: 4. Condense the log to a single log expression. a. 2 log y - 3 log x - 2 log 10 b. Ina+3 ln y

A: See this solution in below

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Q: The indicated function y₁(x) is a solution of the given differential equation. 6y"+y'- y = 0; y₁ =…

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Q: 4. S 1 x²√√x²+4 dx

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Q: For a certain automobile, M(x) = - .015x² +1.32x-7.3, 30≤x≤ 60, represents the miles per gallon…

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Q: 1 g(x)= {x-1 if x > 0 |x² −1 if x≤0

A: The given function, gx=1x-1if x>0x2-1if x≤0

Q: Find a function of the form y = C + A sin(kx) or y = C + Acos(kx) whose graph matches the function…

A: Solution :find a function of a formy=C+Asinkx…

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Q: Use the substitution t = -x to solve the given initial-value problem on the interval (-∞o, 0) x²y" -…

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Q: Point Line (-7, 1) x+y=8 Exercise (a) Write an equation of the line through the point parallel to…

A: This question can be solved using the concept of point slope form of a line.

Q: e) Find the linear approximation of the function f(x, y, z) = x³y² + z² at the point (2, 3, 4) and…

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Q: Find f(x,y) and fy(x,y). Then find fx (2, -1) and fy (-4,3). f(x,y) = In 5x4 +8x²y²| fx(x,y)=…

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Q: By power Series method, Solve the following ODES • (2+x)y=y ans: y = a. (1+1=1/2 X

A: In this question we have to find the solution of the power series.

Q: -1 Range of f -4 -5 -6 O (c) Describe the relationship between the graphs. Domain of 1 -81 Range of…

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Q: 1 if x > 0 x²-1 if x ≤0 g(x)=x-1

A: Given the function, gx=1x-1if x>0x2-1if x≤0

Q: Estimate the area under the graph of f(x) = approximating rectangles and right endpoints. R₁ = 1 x²…

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Q: Find the absolute extreme values of the function on the interval. F(x)= == 3 21 0.5≤x≤2 OA. absolute…

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Q: down oes... not a precise m However, with ann an algebra c concave do rate of chang creasing y…

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Q: The arc length of a given function is determined by √1+f'(2) dz Find the length of f(x)= (2/3)…

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Q: 1. DIFFERENTIAL EQUATION (2y³ + 4) dx = (6-2xy²) dy

A: Note :- These are multuple questions and according to our comapny guideline we can do maximum 1…

Q: Evaluate the integral of x cos 2x dx with limits form 0 to pi/2. (A) -3/4 B 0.75 C -0.5 D 1/2

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Q: Evaluate the limit lim_ (8x² + 4) (6x + 8 →7

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Q: unction. Consider the function f, defined by: -1, f(x) = 2 500 0, 1, 2, Determine the exact value of…

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Q: 8. Calculate the following limits. In z lim → 2²-1 (b) [ 1³-1³ 0 e + cos2-1-2 lim

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Q: The approximate rate of change in the number (in billions) of monthly text messages is given by the…

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Q: Given F(x, y, z) = ei + (xe + e*)j + ye² k. (a) Show that F is conservative by finding curl F. (b)…

A: use the fundamental theorem of calculus and partial derivative for finding the line integral.

Q: Solve the differential equation by variation of parameters. y" + y = sin(x) y(x) =

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

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Q: Verify the identity. sin(x) + cos(x) = sin(x) cos(x) sec(x) + csc(x) sin(x) + cos(x) sec(x) + csc(x)…

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Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = P(2, 3, 4),…

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Q: I = √x f(x, y) dy dx-

A: ∫01∫0xf(x,y)dydx

Q: 2) Express 100C50 as a sum of two terms from Pascal's triangle.

A: Let us find thatThe  100C50 as a sum of two terms from Pascal's triangle.we know that the formula of…

Q: (a) Find the averge value of f(x, y) = curves y = 0, y = x², and x = 1. xsin y over the region D…

A: Solution: f(x,y) = xsin(y)

Q: What intervals must be considered for finding solutions to the inequality x > 5-º? C. 03 d. x 3 a.…

A: Follow the procedure given below.

Q: 4. Determine if the Mean Value Theorem for Integrals applies to the function f(x) = x³ - 9x on the…

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Q: Determine csc(x) + cot (x) if tan x + sec(x) = 22/7. 27/12; 29/15; 24/18; 23/11

A: We can answer the question by finding the correct option as below.

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

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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: 4. A tank contains initially 400 liters of brine holding 100 kg of salt in solution. Water…

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Q: Problem 2.4 Evaluate lim (√²+x-=-) x X

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Q: Match the solution curve with one of the differential equations. f Ala Oy"+y=0 y" - 4y' - Sy=0 Oy" +…

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Q: How much must a person save monthly at an interest of 7.3% to buy a $15,000 car in five years?…

A: We have to find the monthly amount to save.

Q: 1) Find the area of the region above the x axis and to the left of the line x = 1 bounded by the x…

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Q: 2) Evaluate √3|x + + 1| dx

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Q: (a) Determine whether the series n=1 n+1 n³ +3 is convergent or divergent.

A: Solution: ∑n=1∞n+1n3+3

Q: Analyze the following graph of f'(x). Select all of the intervals over which f(x) is concave down.…

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Q: 1. S sina de cos²x

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