Find the angle between in the two planes a = (1,2,3)and b =(4,-5,6)

Q: lim x→0 (sin3x sin5x/x2) *without use of deritivatives or l'hospital's rule*

A: See the details solution in below

Q: a = 3i - 2j + 5k and b = -2i-j+k, find 2a-3b and also its unit vector.

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Q: Consider the following. See Examples 1, 2, 3, 4, and 5. x²-4 x+2 f(x) = X = y 10 * X 5 10 -10 -5 -10…

A: given graph of f(x)=x2-4x+2

Q: Evaluate the doubl Treat as

A: First we integrate with respect to x

Q: 1. Solve the differential equation xy dx - =O (x+2) dy =o

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Q: Need this in complete and handwritten solution, thank you! Find the Differential Equation of the…

A: We have to find the differential equation of the Family of Ellipses with its center at the origin.

Q: 2.Find the particular solution of y (9x-2y) dx -x (6x-y) dy=0., when x=1, y=1. Let x=vy

A: Find out the particular solution.

Q: 14. Estimate the area under y = 36-x² using 3 rectangles and the left endpoint method. y=M-2²…

A: Here we use the left endpoint method.

Q: If plq-r)x+q (-p)x+rp-q) = 0 has equal roots, then prove that ² = 1,1 9 Pr pr

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Q: (a) Compute the solutions x, y of the system of two linear equations 3x + y = 1, 2x 6y = 10. (b)…

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Q: -22 the x-axis, x=-1, and x = 1. Use Define R as the region that is bounded by the graph of the…

A: The region R is bounded by the graph of fx=1-x22, the x-axis, x=-1, x=1 The solid is formed by…

Q: 30. F(x) = [sin(t²)dt . Find F '(1).

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Q: Write the interval of continuity for the function below: sin(x)√81-x2 x²+x-6 f(x) -

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Q: 5. K A decreasing function g satisfies g(4) = 6 and g'(4) = -2. Which of the following statements…

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Q: lim Cos (40)-1 846 Sin (18)

A: NOTE: Refresh your page if you can't see any equations. . use L'Hopital's rule

Q: Find the domain and range of: 1) y = 2) y =√1-x², 3) y = x² - 2

A: We can find the domain and ranges in the below steps.

Q: y' = ysecx

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Q: 13. Let ƒ(x) = 1 3 1+(3x+2)² 2√√3x +2 Find f (17). 12

A: The given function, fx=11+3x+22.323x+2 we have to find the value of f-712

Q: Eliminate C from the equation y=3x²+ Ce=2x. Ay'-2y-6x²+6x=0 B) y'- 2y + 6x² - 6x=0 Ⓒ2y+y'+3x²+6x=0…

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Q: 13) 16) x2/3 x + 1 x³ x² +1 dx dx

A: Given data:- 13) ∫x23x+1dx 16) ∫x3x2+1dx

Q: Given f(x) = 5x² - 10x + 8, find the average rate of change of f(x) on the interval [2, 2+ h]. Your…

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Q: Let u(t)=9t³i + (t²-1)j- 4k. Compute the derivative of the following function. u (tª - 2t) Select…

A: Apply the derivative for the function as given in the question.

Q: Question The base formed by slicing through the center of a solid S is the ellipse+ = 1. The cross…

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Q: 1. Where does the graph of s= t² - 3t+2 have horizontal tangent? Write an equation for the tangent…

A: Topic = Derivative As per guidelines , At a time only one question can be answered out of different…

Q: 1. Simplify: 3x x + 2 a) ÷ 6x² x2 4 b) (y - 3+√2 )(y+3+√2)

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Q: The shaded region between the graphs of y y = 3x - 15 is displayed below in orange. 2x² + 20 and

A: NOTE: Refresh your page if you can't see any equations. .

Q: CHAPTER O Review Exercise 1. Let f(x) = x³ + ¹. Evaluate f(1), ƒ(3), f(-1), f(-). and f(√2). 2. Let…

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Q: The solid S has a base described by the circle x² + y² = 1. Cross sections perpendicular to the…

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Q: Find a formula for the general term an of the sequence, assuming that the pattern of the first few…

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Q: Closed book, closed notes, no calculators. You have to show complete work for full credit; make sure…

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Q: Convert 3.2 ft2 to square inches

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Q: Simplify the following: 5 2 + x² + 5x + 6 x² + 4x +3

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Q: The differential equation dy 18 dx y¹/2 + 4x²y¹/2 has an implicit general solution of the form F(x,…

A: The given differential equation,      dydx=18y12+4x2y12 we have to find the general solution of the…

Q: Which of the following differential equations is NOT LIN D E A B y"=8 6y-xy"+y'+4y=4x There is no…

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Q: day 2x + 5x dx4 dy 3 dx' - xy = 0

A: To write down the degree and order of the differential equation.

Q: Evaluate the integral|5x-1| dr. Answer:

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Q: Question = 2 and v(y) Define as the region bounded by the functions u(y) around the y-axis, what is…

A: We need to find volume.

Q: 3. Check that each given function is the solution to the initial value problem. y(0) = 1, y'(0) = 2,…

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

Q: Financial planners suggest a monthly budget similar to that shown in the pie chart below.1 Use the…

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Q: If a projectile is fired with an initial velocity of vo meters per second at an angle a above the…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Find the particular solution of y (9x - 2y) dx -x (6x - y) dy=0., when x=1, y=1. Let x=vy

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Q: 3 3. y' for y² = x²y³

A: to find out the derivative

Q: Solve (xy + 4a²y)dy = √(xy-5a³ + ax - 5a²y)dx

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Q: Calculate, to four decimal places, the first ten terms of the sequence. 3n 1 + 4n an =

A: Given, an=3n1+4n

Q: 28. The function f is continuous on the interval [3, 11] with some of its values given in the table…

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Q: 1. You leave Morgantown at noon and your distance traveled in miles after t hours is given by the…

A: Solution )a) f(t) = -10t2 + 85t  150 = -10t2 + 85t -10t2 + 85t - 150 = 0 10t2 - 85t + 150 = 0 5 (…

Q: Simplify tanx (cscx sinx). A B D 0 1 sinx COSX

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Q: Sketch the region and find its area. The region bounded by y = -8 00 8 Y -00 X 36 9+x² Calculate the…

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Q: Solve the following differential equation x² (y² +3) = 0 y(x³ +1) dy 3. + dx 4. xdx e-x + (y+1)dy =…

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Q: If f(x) = (cos(√) - In (x²))³, then f'(x) = 3

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