dy

Q: Determine the differential equations satisfied by the following functions. Choose the correct answer...

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Q: Let B={v,v2....v,} and s={u,.u,.…..u} be two bases of a Which of the following is vector space y ove...

A: Note :- 1) Two basis of vector space of same dimension are equivalent to each other.  Union of two b...

Q: Write an equation for the parabola shown to the right. 16- (0, 5) (2, 6) -12 12 -4-

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Q: At noon, a thermometer reading 75°C was brought outside building where the air temperature is about ...

A: Rate of change of thermo meter reading is proportional to difference in temperature. Form a differen...

Q: Consider the function f(x) = 2x2 + 2 List the x values of inflection points of the function f. If th...

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Q: 2. Initially, 22.73 kg. of salt is dissolved in a large tank holding 300 gallons of water. A brine s...

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Q: Given: f(x) =/1- sin² 4x , find the 5th derivative

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Q: II. Solve each of the given LDE of order n. 1. (D° – 4D³ +3D³ )y =-27

A: First we find complementary function then find particular integral. 

Q: For the real-valued functions g (x)= 3x+21 and h (x)=x- 3, find the composition g oh and specify its...

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Q: What is the relative eror in the total surface area of a cube of edge 3 feet if an error of nch is m...

A: To find the relative error in the total surface area of a cube of edge 3 feet, if an error of 12 inc...

Q: Find all solutions of the equation in the interval [0, 2n). cot?x-2 cscx=-1 Write your answer in rad...

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Q: 5. Find the general solution of yy' + y² = x a.y = x -+Ce-2* b.y² = x ++ Co-* c.y² = x -+ Ce-2r d.no...

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Q: Use the binomial series to find the Maclaurin series for the function. f(x) = V1 + x A(x) = 1 +x + E...

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Q: y² + x²y'=xyy' хуу

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Q: At what interval is y=2x4-4x2 increasing? O x>1 O -11 O x1 O -1<x<0

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Q: A particle is moving along a line, whose directed distance from its origin is given by the function ...

A: f(t) is a distance function. 

Q: 2x dx et

A: We have  given  to find integral  I=∫e2x+1eXdx I=∫e2xexdx +∫1exdx I=∫exdx+∫e-xdx I=ex+-e-x+C I=ex-e-...

Q: What are the new limits of integration if apply the substitution u = 4x + t to the integral / sin (4...

A: We have to change the limit. 

Q: answer by shading the circle corresponding to your choice. y = ce-2t + 3t2 o y' + 6y = 2t(t + 1) o y...

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Q: Find the Maclaurin series of xe Σ n=0

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Q: Find all the values of x such that the given series would converge Σ (3)" (/n + 6) n=1 The series is...

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Q: Find the solutions of the following equations on the interval [0, 2n). 1) sin 20 – V3 sin 0 = 0 2) t...

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Q: Exercise 2. Describe how the graph of F varies as c varies. Graph several members of the family to i...

A: Given the functionF(x)=x3+cxDomain of the above function is -∞,∞Put x = -xThen F(-x) = -F(x) So the ...

Q: 1. Determine the length of an arc cut off by a central angle of 6 radians in a circle of radius 5 in...

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Q: Given the statement below, select all trig functions for which this is a true statement. The period ...

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Q: Find the work done between point 1 and point 2 for the conservative field F. F= (y +z)i + xj + xk; P...

A: This question is related to vector.

Q: 3 ( tann cax) sech' cax) dx Iet v = +anh Cax) = 2 sech cax) dx dx = du 2 sech' cax ) u sech ca* ) du...

A: We  calculate it by using only  calculator. Where we put value of tan(6) as value of tanh(6) and val...

Q: 4. The acceleration due to gravity is -9.8 meters per second squared. An object is thrown upward fro...

A: ..

Q: Find u · (v x w). u = (4, 0, 0) v = (9, 9, 9) (0, 4, 4) w %3D

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Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, c = 6 %3! Pa(x)...

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Q: 4, use the graph to find the value of the following. Round your If g(2) answers to 4 decimal places ...

A: g(2)-g(0)=∫02g'(x)dxg(2)-g(0)=[Area under the graph g'(x) from x=0 to x=2]g(2)-g(0)=12*2*4     [Beca...

Q: Find both first partial derivatives. f(x, y) = 8x – 7y + 10 fx(x, y) fy(x, y)

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Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of int...

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

Q: b. Express the system of linear equations in part (a) as a matrix equation in the form of AX = B. He...

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Q: A particle is moving along a straight line, whose directed distance from its origin is given by the ...

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Q: Use the information given below to find cos (a+B). 12 with a in quadrant I 13 cos a= 12 cos ß with B...

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Q: - 4y' + 8y = 0

A: we have to solve the problem

Q: Convert the rectangular equation to polar form and sketch its graph and vice versa. x2-y2=9

A: The relation for conversion of rectangular equation to polar form: x=rcosθand y=rsinθThe relation fo...

Q: Suppose that the function fis defined, for all real numbers, as follows. -x+2 if x1 Graph the functi...

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Q: Suppose that the population of a town is growing continuously at an annual rate of 2% per year. Whic...

A: topic - differential equations dP/dt =0.02P

Q: Find dx dy for the equation y =cosh (2x)tanh x3)+.

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Q: State the geometric series and its sum. Find the sum of ) na"- for |r| < 1. Note: by sum, n=1

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Q: Prove: sin (2 cosx)= 2x1–x²

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Q: Find the area between the graph of y and the r-axis for a E [0, b] where b is a (2x2 + 1)2 positive ...

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Q: dy We wish to find the solution to dæ * = x°y that passes through the point (х, у) — (1,3).

A: We have used separation of variable .

Q: Represent the line segment from P to Q by a vector-valued function. (P corresponds to t = 0. Q corre...

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Q: The critical values of f (x) =4x³– 4&x + 24 are x=- 2 and x=2. Determine which of the critical value...

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Q: Find all solutions of the equation in the interval [0, 2n). cos 0 (2 sin0 – 1) =0 Write your answer ...

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Q: Find the derivative of h(x) = In 25

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Q: Find dy each of the following questions. dx In(1-e*) а) у 3D x2 b) x2у — у2 %3D 3х3 + еx

A: Here are the solutions: