Find the angle e between the vectors in radians and in degrees. u = 6i + 4j + k v = 4i – 6j (a) radians (b) degrees

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: Explained below 

Q: What is the point of intersection of the following line and plane: line: 7 = [3, 1, 2] + t [1, - 4, ...

A: Given  r⇀=3,1,2+t1,-4,-8& plane π=4x+2y-z-8=0 To find point of intersection:

Q: conditions for each equation: d²x 2 dx (a) + x = 1 dt F(0) = F'(0) = 0 %3D %3D dt2

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Q: S sin(bx) sec(bx) tan(bx) dx

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Q: (Зп + 1)! Find the limit of the sequence an = If the (Зп — 1)! limit does not exist, type "Diverges"...

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your a...

A:     L-15s-8s2+16=L-15ss2+16-8s2+16=5L-1ss2+16-8L-11s2+16=5cos4t-8·14sin4t=5cos4t-2sin4t

Q: Let f(x, y) = x² + In(2x – y). Find the gradient Vf(x, y) at the point (1, 1). O O O O

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Q: у%3D 2х — х", у%3D 2х — 4х -

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Q: Sketch the region R of integration and switch the order of integration. 36 - x fx, у) dy dx y

A: Given problem:-

Q: Use the Laplace transform to solve the given initial-value problem. y" + y = V2 sin(/2t), y(0) = 14,...

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Q: 4. Use transformations of y= x* or y=x to graph cach function. (a) S(x)=(x+3)' (b) f (x) = (x-1)* - ...

A: a)y=x5Horizontal shift by 3 units towards leftf(x)=(x+3)5 The graph is shown below:

Q: (B) esin(5x)/5 (C) No such factor exists (D) e5x°/8 (E) (F) 3 n the process of solving the different...

A: solution:-x8y'-5x7y=cos5x,     x>0y'-5x7x8y=cos5xx8first order linear differential equationy'+P(x...

Q: Determine the equation of the plane that contains the lines Li and L2. L: x = 3- t, L2: x = 8 +2 s, ...

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Q: State the points of inflection for the graph of f(x) below. Explain how you know. 4 2 4 4 2 -4

A: Points of inflection is the point at Which doubled derivative is zero. 

Q: Consider the function below. x2 f(x) = x2 25

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Q: An oil slick on a lake is surrounded by a floating circular containment boom. As the boom is pulled ...

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Q: e^-3(t-3)-e^-3(t-5)=?

A: Solution is given below:

Q: up 4+y 10 -b -8 -7 -6 -5 -4 -3 -2 -1 3 4 5 6 7 8 10 -2 3 -4 -6- Give the equation for the ellipse gr...

A: We can find the equation of ellipse from the graph as below.

Q: Consider the parallelepiped with adjacent edges u = 4i + 7j + k v = i+j+ 6k w = i+ 4j + 9k Find the ...

A: The adjacent edges of the parallelepipedu=4i+7j+kv=i+j+6kw=i+4j+9k

Q: Use an appropriate trigonometric substitution to evaluate the following definite integral 1 2+1 da. ...

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Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) F(t) = 4t3 %3D L{f(t)} %3...

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Q: Sketch the region bounded by the given curves, then find its area. y = x2 - 3x, y = x

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Q: (a) Using a function of the form y = a*b^x, with x = 0 in 1900 and y equal to the national debt in b...

A: Here are the answers  1) y=1.595(1.086)x  2) 29522.6038 3) 2034  Here is the complete answer for the...

Q: If f'(x) = x(x – 1)(x + 3), then f(x) has a local minimum at: Select one: O a. ? = 0 only O b. x = -...

A:

Q: Find the area of the triangle with vertices P(1, 4, –6), Q(0,0, 0) and R(3, 4, 1). NOTE: Enter the e...

A: topic - area of triangle

Q: 8. Is the given point a Solution to this graph? (1,3) 1. -3 1- 3.

A: The solution of the given graph is at the point of intersection of the two lines.  

Q: 1.0 0.5 2.0 1.5

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Q: Calculate the derivative of the following function. y=V19x - 8

A: Given,            y=19x-8To find : Calculate the derivative of the given function.

Q: SOLUTION

A: We will perform the integration by parts. 

Q: Calculate the fluid force on one side of a semicircular plate of radius 11 ft that rests vertically ...

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Q: 10. Find. the Valume.f. the Salid.baundeel.by. the.cylinder. X=y and. the.planes.Zz. and.x+2=.. Ans....

A:

Q: b) | sin “ xdx d) [ /tan x sec“ ,

A: Given problem:- b.   ∫ sin4(x) dx  d.   ∫√tanx sec4(x) dx

Q: Assume the derivatives of f and g exist. How do you find the derivative of the sum of two functions,...

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Q: Problems: Find the general solution y9-2y9+y"=0|

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Q: The forward motion of a SpaceX Dragon, i seconds after touchdown, is described by s(t) = 198 – ti, w...

A: According to question,Given information,The forward motion of a SpaceXDragon, t seconds after touchd...

Q: 11. An airplane is flying parallel to the ground at an altıtude of 2 km and at a speed of 4 km/min. ...

A:

Q: Suppose that f(0) = -5 and f'(x) < 4 for all values of x. Use the Mean Value Theorem to determine ho...

A: Question- Suppose that f(0) = - 5 and f'(x)&lt;=4 for all values of x. Use the Mean Value Theorem to...

Q: Recycling Programs The commissioner of a particular city's recycling program assesses that the amoun...

A: for 2008 here t = 8 so put t = 8 in equation N(t) = (200,000)/(2.5 + 3e-0.5t) N(8) = (200,000)/(2.5 ...

Q: Approximate the sum of the series correct to within 0.00001. Σ (-1)" n = 1 n8"

A:

Q: Calculus

A: Topic:- calculus

Q: The length l, width w, and height h of a box change with time. At a certain instant the dimentions a...

A:

Q: Convert en extay?) JA O ver the region Q4. polar form and e to e Valuate let y= 7sino dA = rdrdo How...

A: ∫02π∫1e 2ln(r)(dr)(dθ) here we apply the ∫u*vdx rule ∫u*vdx = u∫vdx - ∫du/dx∫vdxdx so here 2lnr u = ...

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in...

A: Question- Find the point of diminishing returns (x.y) for the function R(x) , where R(x) represents ...

Q: Write the first five terms of the geometric sequence. a1=3, r= 2x

A: If a1 is the first term and r is the common ratio of a geometric sequence then the sequence is given...

Q: Find the derivative of the following function. P(x) = 6x p'(x)=D

A:

Q: 1. Consider the sequence d = {5,-2, , 5 5 4 » 8 > 16 > •. -- a. What is the common ratio? b. What ar...

A: Given problem:-

Q: Give an example of a series that diverges by the Ratio Test

A: Given query is to give and example of series that diverges by ratio test.

Q: -2 -4 and D = 4 8

A:

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with ...

A: topic - vectors

Q: Question 1 Determine whether each series converges or diverges. Be sure to name the test used and th...

A: