Find the angle 0 between the vectors in radians and in degrees. u = (2, 2), v = (4, -4) %3D | (a) radians %3D (b) degrees

Q: By trigonometric substitution 3.x -x+1 (x+1)(x² +2x +2)

A: To find out integration. 

Q: When two pure notes that are close in frequency are played together, their sounds interfere to produ...

A: Given data÷ f1t=cos17t f2t=cos19t ft=f1t+f2t

Q: A hemispherical tank with a radius of 8 m is filled from an inflow pipe at a rate of 3 m/ min (see f...

A:

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis. ||...

A:

Q: A farmer builds a rectangular grid of pens with 1 row and 8 columns using 1000 feet of fencing. What...

A: We have to find the length and width e of the rectangular field so as to maximize the area.

Q: dy Then find the slope of the curve at the given point. dx Differentiate implicitly to find 3x - 5y ...

A:

Q: Given x+y +z = 1 and Po(0,0,1), find the following. (a) Find the equation for the tangent plane at t...

A:

Q: Draw a dependency diagram, and write a chain rule formula for and where u g(m) and m fip.q). Choose ...

A: u = g(m)  and  m=f(p, q)main function is of one variable mandm is of two variables.Hence,∂u∂p=dudm ∂...

Q: A particle moves according to a law of motion s = f(t) = t - 1522 + 72t, t> 0, where t is measured i...

A: Since you have asked a question with multiple parts in a single request we would be answering only t...

Q: Part a For which vale ut is the following always bue sint+ ) Select the comet antwe

A:

Q: An artist has decided to finish their piece of artwork by balancing it on a fulcrum and putting it o...

A:

Q: 2. The population of a small town has been growing and is shown in the table below t, the years sinc...

A:

Q: Given vector u (-1, 5) and v = (5, 3) , determine the value of 2u – 2v in component form.

A:

Q: Use D-operator methods to solve (1) (0²+16)y= tsint Cii) (D²+D+5)y =t coszt %3D

A: Given : i) (D2+16)y=tsint ii) (D2+D+5)y=tcos2t.

Q: sume that w = and f (x) = e . Find and dt ds II II

A:

Q: x + 2 1. If f(x) = and g(x) = 2x + 5, find: x- 2 (a) fog and state its domain (b) (g•f)(-2) (c) (f•g...

A: To find out fog(x) 

Q: Find a) any critical values and b) any relative extrema. g(x) = x - 27x+ 56 a) Select the correct ch...

A: for (a) - critical values is +3 and -3  for (b) - the relative maximum point is x = -3 and relative ...

Q: Samantha and Diego wants to raise ducks in a rectangular field with two internal partitions as shown...

A:

Q: Scanned with CamScanner Find the equation of the tangent line to f(x) = e" at x = 1.

A:

Q: an+1 Assume that converges to p = . What can you say about the convergence of the given series an n ...

A:

Q: A tank full of water is designed with ends in the shape of an isosceles triangle with height 9 meter...

A: Let's find. 

Q: Find the area of the triangle with vertices P(1,3, – 5), Q(0,0,0) and R(3,4, 1). NOTE: Enter the exa...

A:

Q: =1 at the point Find the slope of the tangent line to the ellipse 36 (x. y). slope = Are there any p...

A:

Q: Mg= SS x(3x+ xy) dydx= ! 3x +x y dydx 3x y+ X5 S bx'+ 8 x dx 3. 6. Find the center of mass of the la...

A:

Q: Sketch the curve fixy)c together with Vf and the tangent line at the given point. Then write an equa...

A: The given function,   xy=-9,  3,-3

Q: Show that (0,0) is a critical point of f(x,y) =x + kxy +y no matter what value the constant k has. C...

A: Find your answer below 

Q: Justify if the following table of values is linear, quadratic or neither. -3 -10 -2 -1 12 26 1. 42 2...

A: We have to say that whether it is quadratic, linear or neither.

Q: (b) f(z)= (4 – 5e*)³ x² + 1 (c) f(r)= ez %3D (d) f(z) = e=²–5z+4 ez-5x+4 (e) f(x)=xe² – e² = re² – e...

A: We can solve this as follows:

Q: In(n) In(n) 1. For all n > 2, n2 and the series converges, so by the Comparison Test, the series E n...

A:

Q: 7^x+3 =e^x

A: Explained below 

Q: The quantity of a drug in the bloodstream t hours after a tablet is swallowed is given, in mg, by q(...

A: Given:  a)     The quantity of a drug in the bloodstream t hours after tablet is swallowed is given ...

Q: Given the following information about the hyperbola, find both its standard and general form FOCI: (...

A:  

Q: 8. A single cholera bacterium divides every 0.5 hour to produce two complete cholera bacteria. after...

A:

Q: Find the point of tangency and equation of the tangent line of the following functions given a singl...

A:

Q: 17. log (x² + 3) - log(x + 6)

A:

Q: Each of the following statements is an attempt to show that a given series is convergent or divergen...

A:

Q: Suppose f(x,y) = x^2+y^2+x^2y+5 ,D{(x,y):|x| <=1,|y|<=1} 1.Find the absolute maximum f(x,y) on the ...

A:

Q: Sx sinh 2x dx

A:

Q: Find all the local maxima, local minima, and saddle points of the function. 2 f(x,y) = x - 4xy +y + ...

A:

Q: AP v* v Cx-1)+) V

A:

Q: x², dx e x3

A:

Q: 3. 5 (xº - + 2ex) dx 2ех

A:

Q: Find the dimensions of the closed right circular cylindrical can of smallest surface area whose volu...

A:

Q: Let R be an equivalence relation on A. Find the maximum number of classes R can make if JA| = 80 and...

A:

Q: Consider the following. u = 9i + 4j, v = 8i + 2j (a) Find the projection of u onto v. (b) Find the v...

A:

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

A:

Q: An aquarium 7 m long, 3 m wide, and 4 m deep is full of water. Find the following: the hydrostatic p...

A:

Q: The Taylor series for f(x) = e" at a = -1 is > Cn (x + 1)". n=0 Find the first few coefficients. CO ...

A: Taylor series for f(x) at a  is given by f(x)=f(a)+f'(a)(x-a)1!+f''(a)(x-a)22!+f'''(a)(x-a)33!+f'v(a...

Q: The energy expended by a bird per day, E, depends on the time spent foraging for food per day, F hou...

A:

Q: Consider the sequence n cos(nt) 2n – 1 An - Write the first five terms of an, and find limn→∞ an. If...

A: