What is the slope of the line 0 = (Use decimal notation. Give your answer to three decimal places.) m =

Q: Evaluate the surface integral F. ds for the given vector field F and the oriented surface S. In…

A: We need to find surface integral.

Q: Find the points on the ellipse 5x2 + y² = 5 that are farthest away from the point (1, 0). smaller…

A: To find the points on the ellipse 5x2+y2=5, that are farthest away from the point 1, 0.

Q: (2х + 3у)dx + (у — х)dy —D 0

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Q: Find the tangent to y = x-x+10 at x 3.

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Q: Evaluate the indefinite integral. 15 +°dx

A: Given query is to eveluate the integral.

Q: |v|dt. Then find the Find the arc length parameter along the curve from the point where t= 0 by…

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Q: 4. A father is running west at 5 m/hr and his son is running north at 6 m/hr. Both are headed for…

A: I am attaching image so that you understand each and every step.

Q: 2. |=xp(x)JLOS Then find the value of the integral: pune f(0)=| Sketch, on a sheet of work paper, an…

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Q: 2x-1 11. y = 5x+2 12. y=(5x² + 2x + 1 )3 13. y = V2x + 6 /14. y = 15. x = 2x + 3, what is dy/dx? =…

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Q: |sin(x)cos(2x)sin(3x) dx sin(3x)cos(3x), sin(2x)cos(2x) sin(2x) 12 8 8. + C 4 sin(6x) sin(2x),…

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Q: CHOOSE ONE. Find the length of the curve x = 4- y (a) using the parametric equations r = 2 cos t and…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Evaluate the iterated integral. 6xy2 dx dy

A: We have to evaluate the iterated integral

Q: Using Integration By Parts, x² Vx? +4 dx =uv- [v du Find Uv- du 3 3 2 -4)2 dx || 4 3 3 2 +4) 2 dx 3…

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Q: In the diagram below, a and b are vectors such thay cos0 = 1/6. Given thay a= i +j+ pk and b= 2i…

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Q: The loop of the following limacon is produced for which interval of the angle theta?

A: Given:       r=2+4sinθ The first step is to find the angular displacement of the inner loop. To do…

Q: 2x4 + 3x2 – 1 Rewrite dx as integral of sum of partial fractions. (x³ – 4x² + 5x)? C(2x- 4) +D E(2x…

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Q: Find an equation of the tangent plane to the given parametric surface at the specified point. r(u,…

A: We have to find the equation of tangent plane

Q: x² + y)dx + xy dy = 0

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Q: 2. A solid right cylindrical cement block of volume 97 ft³ is to be made, and then painted except…

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Q: Using Integration By Parts ∫ 2x^2 e^(1/3)x dx find uv - ∫ v du

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Q: Which of the following is Inx – 6x + 18| + arctan(- (x – 3)) +C equal to? 2 – 6x + 18 x - 3 V 2 In…

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Q: Find the indefinite integral using the formulas from Theorem 5.25. (Use C for the constant of…

A: We need to evaluate integral.

Q: 1 Calculate the difference quotient for f(x) at a = 4. V2x + 5 (Express numbers in exact form. Use…

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Q: Evaluate the definite integral. '5 3 9 Vx2 dx

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Q: What will you factor out from the integrand of tanx sec'x dx so that you can transform it to its…

A: To factor out a term such that the given integrand becomes integrable.

Q: x2 dx is F(b) – F(a). where F(a) and F(b) are real numbers. What is the value of F(a)? The result of…

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Q: Use the method of Lagrange multipliers to find the dimensions of the rectangle of greatest area that…

A: Given problem:- Use the method of Lagrange multipliers to find the dimensions of the rectangle of…

Q: The speed of a runner increased steadily during the first three seconds of a race. Her speed at…

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Q: (x²+y²)*/2 (x²–y2)2

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Q: Select all that apply: □ (5. 똥) □ (5. 플) O (5. -*) (-5, ) □ (-5. 똥) O (-5, -)

A: Polar

Q: Let A = (1, 0, 2) and B = (6, -2, 3). Find projaB.

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Q: 10 y = 5 4- y%3Dx 12. y%3D 20 4 6. 8. 10

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Q: Evaluate the definite integral. esin (a) cos(x) d x

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Q: 9х2— 6 To evaluate dx using the method of partial fractions, the given integral can be rewritten as…

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Q: cos2x – sin2x cos2x dx = For -F(x)+C What is F(x)? cosx – sinx 2 2 sinx + =cos'x+cosx + =sin³x 3 3 2…

A: For ∫cos 2x-sin 2x cos 2xcos x-sin x dx=13Fx+C, to determine Fx.

Q: Given the function f(x) =2+3x - x³. Determine the intervals where f is increasing or decreasing,…

A: As per the guidelines I am supposed to the first question among multiple questions. So I am solving…

Q: The part of the sphere x? + y? + z? = 16that lies between the planes z = -2 and z = 2. (Enter your…

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Q: 2x4 + 3x² – 1 (x² – 4x² +5x)? B(2x- 4) + C Rewrite dx as integral of sum of partial fraction D(2x-…

A: Here we have to apply partial fraction.

Q: 00 Given: (1 + 2x)e*dx̟ Using integration by parts and letting dv 00 is %3D u = -1 - 2x, then the…

A: Let's find.

Q: Find the first and the second derivatives of the function. y%3D 6-x

A: The given function is: y=x6-x  =-xx-6  =-x-6+6x-6  =-1+6x-6  =-1-6x-6

Q: Consider the following. 1 f(x) = 2x – 4 x2 y 4 3 y=2 x – 4 2 1 X 8 (a) Write the integral that…

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Q: 3x + 7x + 28 -dx x² + x³ + 7x Using partial fraction, evaluate

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Q: Consider the following vector field. F(x, y, z) = (2e* sin(y), 7e sin(z), 4e² sin(x) (a) Find the…

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Q: The result of x3/x² – 1 dx is F(b) – F(a) where F(a) and F(b) are both real numbers. What is the…

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Q: Find the area: Y = cos x and y sin x on 0, 27

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Q: dy dx? Find in terms of x and y. x°-y° = -3

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Q: What are the polar coordinates of the point Q shown below? 1 2 3 4 5

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Q: 1. Evaluate the following limits. 2 - V2x + 10 a. lim 1-3 x2 + x – 6 4x – 7 1 lim с. -1- (3r2 – 2r…

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Q: Find the point on the line y = 5x + 2 that is closest to the origin. (x, y) = Need Help? Read It…

A: Let's find.

Q: 1/2 The result of dx is F(b) – F(a), where F(a) and F(b) are real numbers. What is the value of F…

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