Use the diagram below. If FED - >F'E'D' by a 90 degree rotation clockwise around the origin. What are the coordinates of the image of F?

Q: Suppose that y = d(t) represents the distance that an object travels in time t. What does Ad…

A: Consider the Distance- time graph,

Q: Find la da without using the Fundamental Theorem of Calculus.

A:

Q: Differentiate the function.

A: We write the expression using an exponent first

Q: Evaluate f v-8+ 6x – x2 dx using trigonometric substitution

A: The objective is to evaluate the integral using trigonometric substitution

Q: x? dx and simplify your answer. Show your

A:

Q: An airplane is flying at a constant altitude of 10 miles above the ground and passes directly over a…

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Q: L[-te-at * u(−t)]:

A: To find the Laplace transform of [-t×e-at×u(-t)]   Here, u-t is the unit step function. u(-t)=1…

Q: y" +/ sin a = 5 + e %3D

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Q: Cos X. is iF C3)?

A: Given,            Consider the function Fx whose second derivative is F''x=18x+3cosx.           Also…

Q: A particle moves along a linear path and its displacement, relative to the start, is modeled by the…

A: In 2pi/3 seconds. displacement of the particle will be

Q: b) f(x) = tan (VInx) %3D

A: f(x)=tan^-1(sqrt(lnx))

Q: Q2: Gives the values of sinhx, coshx ,and find the values of the remaining five hyperbolic…

A: Since, we sinh(x)=43Since, we know that cosh2 (x)-sinh2 (x)=1⇒cosh2 (x)-169=1⇒cosh2 (x)=169+1⇒cosh2…

Q: Determine if the following statement is true or false. If it is false, explain why. " x = sec 0,…

A:

Q: Lemi the Ant is eagerly watching a pink flower falling straight down towards a point on the ground…

A: The horizontal distance from lemi = 75 cm  The angle of elevation decreasing at the rate dθdt=-120…

Q: An airfighter plane is flying west at 5 feet per sec at an altitude of 4000 feet.  The plane is in…

A:

Q: dx 3x? + 5x +1

A: the given integral is: ∫dx3x2+5x+1 we have to evaluate the given integral by using the substitution:…

Q: The amplitude of F (x) = } sin is

A: The amplitude of the sine function is the distance from the midline to the maximum point.

Q: Evaluate dA where D=2ay|1exy?sd, Arctan

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Q: Explain the relationships between d S, dS, and dA. In particular, show how d S can be defined in…

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Q: Write the equation of the line tangent to the graph of r = 5 cos (40) when 0

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Q: Differentiate f(r) COS (5c). Use exact values.

A: Given that f(x)=cos-1(5x) Find f'(x)

Q: Evaluate the to -y dxd

A: Given that, the integral is ∫01∫01-y2x2+y2dxdy. Obtain the value of ∫01-y2x2+y2dx.…

Q: Use a computer algebra system to evaluate theintegral. Compare the answer with the result of using…

A: Find the value of the integral ∫11+x3dx. Evaluate the integral as follows. ∫11+x3dx=∫3u21+udu…

Q: As a wave passes by an offshore piling, the height of the water is modeled by the function A(e) = 4…

A: Given:The given function is h(t)=4cosπ5tWhere h(t) is the height in feet.To find:a)The…

Q: cos e de O 4

A: Given

Q: As theta increases from 0 0to 90 0, the value of cosec theta tends towards _________________________

A: We have to fill in the blanks: As θ increases from 0° to 90°, the value of cosec θ tends towards…

Q: . Evaluate f dx using trigonometric substitution. x/4+x2

A: Given integral is ∫1x4+x2dx. We have to evaluate ∫1x4+x2dx by using trigonometric substitution.…

Q: Explain the relationships between d S , dS, and dA. In particular, show how d S can be defined in…

A:

Q: Find dy y= cof ( + tan)

A: Given : y = cot-12x+tan-1x2

Q: Find f) (0), for f(8) = 2 cos(36), using pattern recognition. (Don't take 22 %3D derivatives!) What…

A: Given: fθ=2cos3θ Formulas used: ddxcosx=-sinxddxsinx=cosxddxxn=nxn-1ddxCfx=Cddxfx…

Q: -1 Y = tan (cos z')

A:

Q: Differentiate the function. sin e + y = 4

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Q: f (x) = arctan(e“) ise ƒ '(-1) =?

A: To find the derivative of  f(x)=arctan(ex) at x=-1

Q: Use geometry to evaluate (x+1)dx. Draw a picture to illustrate the problem.

A:

Q: Describe how sec t varies as t increases from 0 to p/2.

A: Based on the circular definitions, to represent the values of the trigonometric functions…

Q: 3. |sin3xsin 2x dx

A: 3. Now sin 3x sin 2x=12(cos(3x-2x)-cos(3x+2x))=12(cosx - cos5x)

Q: Evaluate: 4e-2* dx. Show your work!

A: Please refer the attached image for complete solution.

Q: Determine the shift of the function. 8) y = -3 sin A) n units to the right B) * units to the left 16…

A: Given that: y=-3sin14x-π4

Q: dy Use the Chain Rule to calculate dx y= tan (3x2) Select the correct choice below and fill in the…

A: take derivative use the chain rule

Q: c) With respect to y = cosx, the horizontal shift of the function is d) With respect to y = cosx,…

A:

Q: Determine a possible equation for the following sinusoidal function. 0.5 0 -0.5 -1.5 0 TT/2 3TT/2

A: We need to find sin equation.

Q: 5. е(2x-у) 3D 2х — у 2х- У)

A: Derived function the function f' where f'(x) is the derivative of f at x, is the derived function of…

Q: du du dydx dxdy -1x for the function u= tan Verify

A:

Q: Find the tangent of 2X. Х. 13 Y 12 Write your answer as an integer or as a decimal tan (X) %3D 5.

A: this is the right triangle

Q: L{et sin 9t-f+ e}

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Q: Find the solutio 5) y" – ky' = 0

A: Given differential equation is: y''-ky'=0 Then we get, y''=ky'⇒d2ydx2=kdydx Integrating both sides…

Q: (1) dx

A: L)

Q: Suppose that Tammy's blood pressure can be modeled by the following function. p (t) = 91 +24 cos (89…

A: Given,        p(t)=91+24cos(89πt)

Q: (a) fo dx √√3x-x² 2

A:

Q: Find y'and y" if y= Sindx

A: To find the derivative