(1- y*)dx + (x° + e*)dy where C is the boundary of the region between the circles x² + y² = 4 and x² + y? = 9

Q: tan x+ cot x csc(2x) = %3D

A:

Q: find eigen value of matrix A -2 A = 2. -4 2.

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Q: Solve the problem. A company knows that the unit cost C and the unit revenue R from the production a...

A:

Q: Find the total area enclosed between y = x and y = x over the interval [-1, 8]. NOTE: Enter the exac...

A: This question is based on application of integration.

Q: -1 23. у + ху — ху" ", y(0) 3

A:

Q: 1J"In xdx 1.5

A: Given query is to find the integral.

Q: dx -1 x + 1 2.

A: We have to find whether integral diverges or converges

Q: Evaluate the integral. 16 In(y) dy Vy

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Q: Show that lim Vn = 1. n-00

A:

Q: Find the values of a and b if the tangent to y = ax² + bx at (1,5) has a slope of 8.

A: We can find the value of a and b as below

Q: 16. 1+ Vx= x +a (16 + x³)ª * =- b(16 + x²)* x=)= + C 17. x* dx :(9x + 49)을-(9x + 49)을 +c V9x + 49 18...

A: As per bartleby guidelines we only give first question answers.

Q: Determine from the graph whether the function has any absolute extreme values on the interval [a, b]...

A: Topic:- calculus

Q: 1. Use the 8 step algorithm for c following function and to sketch 2 x +2x-4 d(x) %3D 2. Step 1: Res...

A:

Q: Provide an appropriate response. If xy + x = 12 and dx/dt = -3, then what is dy/dt when x = 2 and y ...

A: We will find the value of dy/dt with the help of the given data x=2 ,y=5 and dX/dt=-3 as following.

Q: Evaluate the definite integrals (give exact answers): 3 a) | (2x +3)(x – 5)dx 2 1 - (2³ – 2x² + 1)dx...

A: a) ∫23(2x+3)(x-5)dx ∫23(2x2 -10x +3x -15)dx ∫23 2x2 -7x -15)dx [2x3/3 -7x2/2 -15x ]23 18 - 63/2 -45 ...

Q: find the approyimate Valueof 10/3 2- |(3.01*+(5-98)²+(2.03)?

A: According to guideline I'm solving only Question no. 2 

Q: Consider the points A(1, –3, 4), B(2, –5, 2), C'(-1, –4, 2), and D(2,3, –5). (a) Find the volume of ...

A: Explained below

Q: 4- 1II Objective Knowledge Check Question 9 SARA V Español Consider the following system of linear e...

A: Reduced row echelon form

Q: Evaluate the definite integral 7 (18x? – 2x + 9) dæ 3

A: Given,            ∫3718x2-2x+9dx

Q: Using an appropriate substitution, 8tan-1x the integral J dx equals: 1+x2

A:

Q: The solution of the given equation (1+x²) y' + 2xy = 4x² is: O y=[(4x^3)/(3(1+x^2))]+C(1+x^2) O y=[(...

A:

Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Th...

A:

Q: The graph shown below is fx) = -(x - 1)2 + 5. What is the integral function g(x) that defines the ar...

A:

Q: Sketch the region enclosed by y = 4x and y 4x2. Find the area of the region. %3D

A:

Q: Find an equation of the tangent line to the graph of h(x)= 2x-x'at the point (-2, 4). Write the equa...

A:

Q: x²–1 For S dx,x

A: Given,             ∫x2-1xdx

Q: 102 - Find the volume of the solid obtained by rotating about the y-axis the region bounded by y = a...

A:

Q: If f(x) = 7 cot ' + 5, then find the value of f'(-6) is -5 V37 V37 37 -7 37

A:

Q: 17. If y = tx, where t is the parameter, what are the parametric equations of the curve x' + y' = 8?...

A: solution:-y=txx3+y3=8x3+tx3=8x31+t3=8x3=81+t3x=21+t33

Q: Using an appropriate substitution, 3 the integral S dx equals: V1-4(x-1)2 3 sin-1(2x – 2) + C sin-1(...

A: We can find the integration as below using proper substitution.

Q: Sketch the region enclosed by y = 4x and y 4x2. Find the area of the region. %3D

A:

Q: y = ecos²(x) is: eCos? %3D y' = - sin(2x)ecos²(x) y' = sin(2x)ecos²(x) the above the above y' = -2 s...

A: Here we will find the derivative of the given function,

Q: Using integration by parts, the integral 2 f cot-1 x dx equals: 2 x cot-1x + In|x² + 1| + C - x cot-...

A: Topic = Integration

Q: r 5x² – 3x + 18 dx aln b - clnd x(9 – x²) 12.

A:

Q: x* dx (9x² + 49) - (92 - - (9x* + 49) +c V9x² + 49 18.

A: This is a problem of integration. Based on the general formula we will solve the integral problem.

Q: If f(x) = 6 cotlx + 8, then find the value of f'(-2) is %3D -2 -8 V5 8. OO O

A:

Q: 1. lim(2x + 4) x-3

A: "Since you have asked multiple questions. We will solve the first question for you. If you want any ...

Q: Using an appropriate substitution, e*sec²(e*) the integral S dx equals: e-tan(eX) - In|e – tan(e*)|I...

A:

Q: Given that y, (x) = x-1 and y, (x) = x3/2 are solutions of the differential equation 2x2y" + xy'-3y ...

A:

Q: Find the area of the region bounded by the given curves. Decide whether to integrate with respect to...

A: Given query is to find the are of the region bounded by the curve.

Q: f (x) = x(x + 3)² %3D , Find a so that f'( a ) = 0. Hint. Use the product rule. there are two soluti...

A: The given function,       f(x)=xx+32

Q: Set up an integral that represents the length of the curve. = sin²(t), y = 1 –- 3 sin(t), 0 <t < T !...

A: The given problem is solved below.

Q: t Determine f'(1) if ƒ (t) = log10 %3D t+1

A: Given: - The function is, f(t)=log10tt+1 To determine: - The solution of f'(1).

Q: g3 (*° – 2x² + 1)dx 9. Evaluate the definite integrals (give exact answers): •3 a) | (2x+3)(x – 5)dx...

A: Given that, There are two integral given, a). ∫23(2x+3)(x-5)dx b). ∫121x3(x3-2x2+1)dx We have to fin...

Q: Calculate thex and y components of the vector given below. Do not round any intermediate computation...

A:

Q: Compute the area of the surface formed when f(z) 2V1-z between -1 and 0 is rotated arou nd the -axis...

A:

Q: etermine if the integral is convergent or divergent. valuate the integral if it is convergent. Suppo...

A:

Q: Do not round any intermediate computations. Round your answers to the nearest degree. 1. Let v =-7i+...

A:

Q: Evaluate the following integral sin(2z) dr.

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

Q: for power substitution method, next step is For S dx xp: 4u³dx 4u³dx 1+ u* 1+ (u*)ã Option 1 Option ...

A: Find your answer below