Evaluate the given definite integral by any applicable method. * 10. 1dx 32 b.- 15 32 с. 15 15 d. none of the choices а. 32 A В C O D

Q: (y-Vx² +y² )dx – xdy = 0 Solve When: x= 0, y =1

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Q: Solve simultaneous equation dx/dt=3x+5y , dy/dt=-x-y , x=5 , y=-3

A: We need to solve the given simultaneous equations, dxdt=3x+5ydydt=-x-y at x=5, y=-3

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A: Given query is to find minimum average cost.

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. |(7+) ...

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Q: Find dy/dx of y=sin -1(1/x). (A x²– 1 3 B 1- 9x2 1 9 D 1-x2

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Q: 5. [e2y sec ey tan eY dy

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Q: Find the derivative of the function. x3 4) y =-1 %3D X- 1

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Q: A sform z (pa, + zaz) to spherical form. Simplify your answer.

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Q: 144. Identify the length of the curve y = x over the interval [2,6] 49

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Q: Evaluate the function at the given values of the independent variable. Simplify the results. g(x) = ...

A: Given,           gx=x2x-4

Q: B) Find (dy/dx) for the following 1. y = tan2(cosx)

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: Solve the following First Order Differential Equation: + 2y = 1 dr

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Q: 22-92+20 The function f(x) = has a discontinuity at a = 4. For those who have trouble viewing the Ma...

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Q: Given cost and price (demand) functions C(q) = 100q + 41,000 and p(q) = - 2q+ 870, What price should...

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Q: Evaluate the integral. (Use C for the constant of integration.)   The integral of 5(tan^2(x)+tan^4(...

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Q: 1. [a4 In xdx

A: Since the student has posted multiple questions and does not mention any specific question, so we ar...

Q: Consider the function fix) sin x. Complete the table below and sketch its graph. x011/6 11/2 5n/6 n7...

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Q: b) cos 5x = -0.7 %3D a) sin 2x = 0.3 Cosc 57) to.7 Sin (2x) - 03-0 Cos C5x)+0.7 x -a xis at Letu= le...

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Q: Exercise To Try 19 Find the equation of the tangent line to the curve below at the point (1, 2). + 2...

A: As we know that; The slope of the tangent line to the curve is equal to the derivative of the functi...

Q: State whether the function is a probability mass function or not. If not, explain why not. f(x) = 1 ...

A: For pmf. There will be 2 conditions so verify all 2 conditions. 

Q: Given cost and price (demand) functions C(q) = 120g + 44,000 and p(g) = - 2q + 890, how many items m...

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. dx = (9x + 8)...

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Q: A moving conveyor is built to rise 1 m for each 6 m of horizontal change. (a) Find the slope of the ...

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Q: d) A(r) = (1+2r)(2r2 - 6)

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Q: Find a power series representation for the function. (Give your power series representation centered...

A: Let's find. 

Q: Your are driving away from Toledo. Your distance (in miles) away from Toledo x hours after 12:00 noo...

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. sin (4) dx +C

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Q: 9. Consider the equation + n+ 1 n+4 1, what must be the value of n so that the graph is hyperbola? H...

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Q: Answer the question below: The student should identify the cartesian equation of a given plane that ...

A: Let's find. 

Q: And the Inverse function ofr over the glven Interval. Describe the relationship between the graphs. ...

A: f(x)=xx2-9y=xx2-9x2y-x-9y=0(Quadratic equation):comparing with:ax2+bx+c=0roots are:-b±b2-4ac2ahere, ...

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Q: A company produces a special new type of TV. The company has fixed costs of $478,000, and it costs $...

A: Let the demand function be p=ax+b Such that, a and b are constants. x is the no. of units being sold...

Q: Find y as a function of x if y" – 11y" + 28y = 0, y(0) = 1, y(0) = 5, y"(0) = 6. y(x)

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Q: Suppose f( – 1) = – 8 and f'( – 1) = 7. Find the following. E (7z² – 10z – 6) S(z) at z = - 1 is f(z...

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Q: 16а.). _b.). _c.).

A: Given M6 is 6th approximate value by midpoint rule T6 = 6th approximate value by trapezoidal rule ...

Q: dx 5. HalfAnge Substuion 3+5csx

A: Consider I=∫dx3+5 cos xwe use the formula cos x =1-tan2x21+tan2x2

Q: The integral of x-Inx with respect to x is,

A: Given,             The integral of x2lnx with respect to x.

Q: 15 10 5 -5 -10 -15 -10 -5 5 10 the x coordinate of each point: 1 the positive y coordinate: 4 the ne...

A: Given query is to find the closest point to the point (0,4).

Q: Find the radius of convergence, R, of the series. 5n – 1 n = 1 R = Find the interval, I, of converge...

A: The radius of convergence is R = 1 and, The interval of convergence is (-1, 1)

Q: Let a = ci + jand b = 8i + 15j. Find c so that the angle between a and b is- Round your answers to f...

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Q: dy_ y² + xy² 8- dx x'y-x

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Q: 1. What is the slope of the line tangent to the curve y=x3(x2-3) at x=-1? A. 1/4      B. -1/4      ...

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Q: If a and b are unit vectors in R', show that ||a x b||? + (a · b)² = 1. %3D

A: On solving this we will get:-

Q: Verify that the given function u is harmonic in an appropriate domain D. Find v(x, y), the harmonic ...

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Q: The graph below is the function f(x) -3 -4 Find the following. If no value exists, enter DNE. lim f(...

A: Given:  The graph below is the function fx. To Find:  To find the following. If no value exists, to...

Q: Find the general solution or particular solution of each of the foll 1. 2y(x+y+2)dx + (y²–x²– 4x – 1...

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Q: Use a Maclaurin series in this table to obtain the Maclaurin series for the given function. f(x) = 5...

A: We have to find maclaurin series

Q: Use vectors to find the lengths of the diagonals of the parallelograr that has i +j and i – 18j as a...

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Q: An office wants to create a cubicle for a new employee. The cubicle will be rectangular , with three...

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Q: Identify the case of the given differential equation and determine its solution (3x + 2y + 7)dx + ( ...

A: Differential equation is exact. First show that given differential equation is exact and then find i...