A 6-foot man walks on level ground toward a 45 foot flag pole. He notes different angles of elevation 0 to the top of the pole when he is different horizontal distances x away from the pole. a) Express the man's horizontal distance from the base of the pole x (in feet) as a function of the angle of elevation 0 in degrees. Type theta for 0. b) Express the angle of elevation 0 as a function of the the man's horizontal distance to the base of the pole r. Z Calculator Check Answer

Q: State the theorem for Computing the Directional Derivative.

A: Partial derivatives give us an understanding of how a surface changes when we move in the x and y…

Q: sec 2. Differentiate the following function:

A: Given that  y=sec(5^(-x^2)) To find the differentiation of y

Q: () Y = sec

A: Given the function

Q: Determine the function equation using cosine as your parent function.

A:

Q: A sinusoidal function can be differentiated only if the independent variable is measured in degrees.

A: We have to check A sinusoidal function can be differentiated only if the independent variable is…

Q: A hot-air balloon rising straight up from a level field is tracked by a range finder located 500 ft…

A: Let R be the finder, B be the balloon C be the point of lift off and h be the height.Then the…

Q: Compare a secant and a tangent by defining each and uploading an image of each. Use the paperclip…

A: Defferent between the secant and tangent line .

Q: Determine whether the point x=0 is an inflection point of the function f(x)=sinx.

A: Inflection point is the point on f(x) where the graphn changes the concavity. At this point  double…

Q: . Find the linear approximation of the function f(x) =  sqrt  (1-x) at a= 0 and use it to…

A: We find f(0) and f'(0) first  so the point is (0,f(0))=(0,1) and slope of the tangent= f'(0)=-1/2

Q: Write down five properties of the tangent function.Explain the meaning of each.

A: Tangent function :                           Five properties and explaining the meaning of each:=?

Q: Give one problem for hyperbolic differentiation

A:

Q: Use implicit differentiation to find and %3D 2y %3D

A:

Q: What concept is me essential in calculu because other cor concepts such as continuity, the…

A: We want to know most essential concept on calculus.

Q: Locate the discontinuities of the function andillustrate by graphing.        y = 1/1 + sinx

A: given: y=1/1+sinx

Q: Is the cosine function even, odd, or neither? Is its graphsymmetric? With respect to what?

A: The function is given as fx=cosx......(1)

Q: Find the slope of the tangent line to the sine function at the origin. Compare this value with the…

A: Find the slope of the tangent line to the sine function at the origin. Compare this value with the…

Q: Calculate the derivative of the sine function as a function of degrees rather than radians.

A: Given- sine function. To Find- The derivative of the sine function as a function of degree rather…

Q: A man is flying in a hot-air balloon in a straight line at a constant rate of 5 feet per second,…

A:

Q: Let f be a function. Explain, using any method , as to why f(x) and f(x) + 2 have the same…

A:

Q: If tanx   =12/13 , find the values of the other hyperbolic functionsat  x.

A: tanhx=1213 By using the identity sech2x+tanh2x=1, we get…

Q: Summarize the inverse tangent function. Use the paperclip button below to at

A:

Q: Show that the range of the tangent function is the set of all real numbers

A: The function tan returns a value of zero when the argument is zero. When increases to a value of 1…

Q: 3. Rewrite the expression tan (2x) sec² (2x) entirely in terms of tangent.

A:

Q: Find the function value. tan 115°

A: We have to  find the value of the function tan115°. Then, tan115°=tan90°+25°=-cot25°=- 2.144506

Q: Which hyperbolic functions are increasing on their domains?

A: First of all, consider all the six trigonometric hyperbolic functions and their domains.

Q: The derivative of tan(9*x) is (sec(9*x))2(9))   Can you tell me where the sec2 came from?

A:

Q: Simplify sec(π2−u)sec(π2-u) to a single trig function using the sum or difference of angles…

A: here function is sec(π/2-u)sec(π/2-u)

Q: Compute the derivative. f (θ) = tan θ sec θ

A:

Q: A light is placed on the tip of a windmill blade to protect planes from crashing into them. The…

A: 1st we will decide type of function i.e. sin or cos function  and then using given data need to find…

Q: )サー cos( sinx)

A: It is given that the function fx=cos-1sinx. The given function is of the form fgx, by using the…

Q: Give one problem for parametric differentiation

A: Solution: In Parametric equation group of quantities of one or more independent variables formed as…

Q: An object moves in simple harmonic motion with period 8 seconds and amplitude 2 cm. At time t=0…

A: GIven, Time period is 8 seconds. amplitude is 2 cm. At t=0, its displacement from rest is -2 cm.

Q: Explain the Secant function.

A: we have to explain the secant function.

Q: Use a linearization to approximate tan(π/100).

A:

Q: Explain why the domain of the sine function must be restricted in order to define its inverse…

A:

Q: 1. Simplify tan(x) sec(x) to a single trig function.

A:

Q: Write tan 53° in terms of its co-function.

A:

Q: Differentiate the following hyperbolic functions.

A:

Q: List an efficient formula to calculate the directional derivative for a differentiable function?

A:

Q: Find the derivative of a trigonometric function.

A: We write g(t) using exponent first, then differentiate both sides with respect to t.…

Q: Express sec u - sin u tan u as a single function of u.

A: The given expression is secu-sinutanu

Q: By total differentiation, determine or find the approx. change in the length of the hypotenuse of a…

A:

Q: Describe a process for finding the slope of the line tangent to thegraph of f at (a, f(a)).

A: We have to describe a process for finding the slope of the line tangent to the graph of at (a,f(a).

Q: Show that F(x) = tan2 x and G(x) = sec2 x have the same derivative.What can you conclude about the…

A: Given:Fx=tanx2Gx=sec2x

Q: Sin

A:

Q: Find the directional derivative of the functio:

A:

Q: Express (sin2x)f in terms of multiple angles.

A: Proceed as shown below

Q: Write the function term of its cofunction. Assume that all angles labeled θ are acute angles. Sec…

A: Consider the given question,The cofunction identities show the relation between sine and cosine,…

Q: 3. Rewrite the expression tan (2x) sec²(2x) entirely in terms of tangent.

A: Given: tan52xsec22x Formula Used: sec2x+tan2x=1