B sin 0 = csc e = cos 0 = sec 0 = a tan 0 cot 0 A C

Q: Radium-221 has a half-life of 30 s. How long will it take for 95% of a sample to decay?

A: Given that Radium-221 has a half life of 30 seconds. We need to calculate how long will it take for ...

Q: You are given the value of tan . Is it possible to find the value of sec without finding the measure...

A: we know that sec2x=1+tan2x                                       ..1 so, if known the value of tanx ...

Q: Prove the identity. Cosh(-x)  = Cosh x (This shows that Cosh is an even function.)

A: To prove: cosh-x=coshxWe know that, coshx=ex+e-x2 Now, replacing x with -x cosh-x=e-x+e--x2=e-x+ex2=...

Q: Find the time required for an investment of $5000 to grow to $8000 at an interest rate of 7.5% per y...

A: A=P1+rnntFor compounded quarterly, n=4

Q: solve 39. V = ar'h; for r 41. a? + b? = c²; for b 43. h = tgr + vgt; for t

A: Authoring guidelines** _____________________________________________________________________________...

Q: Find the limit of the trigonometric function.

A:

Q: Solve the linear program Maximize p = 3x+ 2y Subject to: 3x + y 0

A: Maximize p=3x+2y Subject to: 3x+y≤30x+y≤12x+3y≤30x≥0, y≥0 Now the graph is,

Q: Find the product. (x + y + 1)2

A:

Q: Write the answers in scientific notation. If necessary, round the decimal factor in your scientific ...

A: Write the answers in scientific notation. If necessary, round the decimal factor in your scientific ...

Q: Expand the quotients by partial fractions. 5x - 7/x2 - 3x + 2

A: Given: 5x-7x2-3x+2 To Expand: The given quotients by Partial Fraction.

Q: Find all relative extrema and saddle points of the function f(x, y) = x5 + y5. Use the Second Partia...

A: Given f(x, y) = x5 + y5

Q: If Ix I > 4, then x 2 > 16.

A: True or False if x>4, then x2>16

Q: Changing order of integration Reverse the order of integration in the following integral.

A: Given- ∫1e∫0lnxfx,ydydx To change- The order of the integration.  

Q: Find the zeros for the polynomial function and give the multiplicity for the zero. State whether the...

A: fx=-3x+12x-43 To find zeros, put fx=0, we get -3x+12x-43=0⇒x+12=0  or  x-43=0⇒x=-12  or  x=4 Therefo...

Q: Determine all the critical points for the function. f(x)=6x^5+33x^4−30x^3+100

A: We have to determine all the critical points for the function  f(x) = 6x5 + 33x4 - 30x3 + 100 We fir...

Q: The greatest integer function is defined by int(x) = the greatest integer that is_________ . For exa...

A: Given:int2.5=int-2.5=int0.5=

Q: Rates of Growth (a) By drawing the graphs of the functions f(x) = 1 + In(1 + x) and g(x) = Vĩ in a s...

A: Given functions are fx=1+ln1+xgx=x

Q: When a plane flies with the wind, it can travel 4200 miles in 6 hours. When the plane flies in the o...

A: Let x and y be the average velocity of the plane in still air and the average velocity of the wind r...

Q: Express the function in the form fog. (Use non-identity functions for f and g.) F(x) = (4x + x²)4 { ...

A: F(x)=(4x+x2)4

Q: Differentiate

A: Given: y=8sqrt(x) ex

Q: Graph f(x) = 2 cos x, g(x) = cos 2x, h(x) = ( f + g)(x) in the same rectangular coordinate system fo...

A: fx=2cosx,  gx=cos2x,  hx=f+gx Now the graph of fx=2cosx,  gx=cos2x is,

Q: Describe in words the variation shown by the given equation : z = k√x/y2

A: Given: z=kxy2 To Describe: Describe in words the variation shown in the given above equation.

Q: The unit circle that follows has been divided into twelve equal arcs, corresponding to t-values of 0...

A:

Q: Determine whether the function h(x) = x2 - x4 is even, odd, or neither. Then determine whether the f...

A: Given- hx=x2-x4 To find- Whether the given function is even , odd or neither, and draw the graph to ...

Q: Consider P(D)y = 0. What conditions on the rootsof the auxiliary equation would guarantee that every...

A: Solution: Consider the given Differential Equation P(D)y = 0 Let the Auxiliary Equation of given DE ...

Q: If f(x) = x e sinx , find f'(x) . Graph f and  f' on the samescreen and comment.

A: f(x)=xesinxf'(x)=esinx+xesinxcosx

Q: Simplify exponential expression. (-15a4b2/5a10b-3)3

A: aman=am-namn=amn

Q: State and explain first and second derivative test for local and relative extrema with at least one ...

A: The first derivative test for local and relative extrema is, 1. First find the first derivative of t...

Q: Find the absolute maxima and minima of the function on the given domain. T(x,y) =x2 +xy +y - 12x + 6...

A:

Q: The function f(x) =(x + 4)/(x - 2) is one-to-one. For thefunction,a. Find an equation for f -1(x), t...

A:

Q: Graphs of f and  g are shown. Decide whether eachfunction is even, odd, or neither. Explain your rea...

A: we know that for given functionhx if  hx=h-x then hx is evenhx=-h-x then hx is odd here, according t...

Q: 8(a) Using Convolution theorem, find the inverse Laplace transform of s2 +aP

A:

Q: Find an equation of the line that passes through the points. Then sketch the line. (2, 8), (5, 0)

A: To find the equation of line passes through points 2,8 and 5,0. Equation of line passing through poi...

Q: Convert the rectangular equation 2x + 3y = 8 to a polar equation that expresses r in terms of θ.

A: Consider the provided rectangular equation, 2x+3y=8 A polar equation that expresses r in terms of θ....

Q: Give an example of functions f and g such that f ∘ g = g ∘ f and f(x) ≠ g(x).

A: Let fx=ex and gx=lnx. Now, fogx=fgx=flnx=elnx=x gofx=gfx=gex=lnex=xlne                   lnan=nlna  ...

Q: Which order of integration is preferable to integrate ƒ(x, y) = xyover R = {(x, y): y - 1 ≤ x ≤ 1 - ...

A: Given: fx,y=xyR=x,y:y-1≤x≤1-y, 0≤y≤1 To Determine: Which order of integration is Preferable to integ...

Angles

In mathematics, angles constitute a very important part. Just like the concept of lines, an angle is a necessary figure that is used for measurement. How do you define its formation? It is formed when two or more lines meet at a point. The point at which two or more lines meet is known as the vertex. When the lines get inclined at this point, they do form various angles. Angles are measured from the vertex in terms of degrees.