a) Solve equation 2cos20 – sin® – 1 = 0 · among 0° sos 360° find the value

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A: Consider the function: fx=lnx-4 To sketch the graph of the function:

Q: How are the inverse trigonometric functions defined?

A: Given inverse trigonometric functions.

Q: Differentiate. y =  In sec x

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Q: Arc length approximations Use a calculator to approximate the length of the following curve. In each...

A: Given vector:               rt=<2 cos t, 4 sin t>, for 0≤t≤2π Arc length of the any curve rt=&...

Q: Derivatives Find the derivative of the following functions

A: Given function is y=ln(x3+1)π

Q: Find the dimensions of the isosceles triangle of largest area that can be inscribed in a circle of r...

A: Given: An isosceles triangle inscribed in a circle of radius r. Using Pythagoras theorem: r2=x2+b22...

Q: Use properties of limits to find the indicated limit (as shown). It may be necessary to rewrite an e...

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Q: What is the average rate of change of the function f ( x ) = 3 x over the interval [ 2 , 5 ]

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Q: Find a fourth-degree polynomial function f(x) with real coefficients that has -1, 1, and i as zeros ...

A: We have to construct a four-degree polynomial function  whose roots are -1, 1, i also, f(3)=160

Q: Solve and graph the solution set on a real number line: 2x2 ≤ -6x - 1.

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Q: Finding Limits of Differences When x u tHFind the limits in Exercises 86–90. (Hint: Try multiplying ...

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

Q: Find the (a) component form and (b) length of the vector with initial point P(-3, 4, 1) and terminal...

A: the given initial and terminal point of the vector are: P(-3,4,1) and Q(-5,2,2) respectively. we hav...

Q: Prove that there does not exist any function f (x, y) such thataJ = xy and aJ = x2. Hint: Consider C...

A: Given  ∂f∂x=xy   ⋯⋯1∂f∂y=x2   ⋯⋯2.

Q: Express the angular speed, 6 revolutions per second, in radians per second:

A: We have to express the speed, 6 revolutions per second in radians per second. We know  one revolutio...

Q: Use the formal definition of the limit of a sequence to prove the following limit.

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Q: Sketch the region whose area is represented by ∫ as attached. (a) Use the integration capabilities o...

A:   Sketch the region whose area is represented by ∫ as attached. (a) Use the integration capabilities...

Q: Find the indefinite integral ∫sinx / cos3x dx

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Q: Find all zeros of f(x) = x3 + 8x2 + 11x - 20.

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Q: Find the product: (5 + 4i)(6 - 7i).

A: Given: 5+4i6-7i

Q: Find the limit of the following sequence or determine that the sequence diverges. {((-1)n)/(n)}

A: Given sequence, an=-1nn

Q: Evaluate lim I X - T

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Q: A mixing tank A 500-liter (L) tank is filled with pure water. Attime t = 0, a salt solution begins f...

A: a. Consider the mass function, Mt=2501000-t1-10-301000-t10 graph of the mass function is shown below...

Q: State the property of realnumbers being used: 3 +7 = 7+ 3

A: Consider the given expression, 3+7=7+3 the commutative property of addition of the real number state...

Q: Evaluate the integrals

A:   Evaluate the integrals   

Q: Find ln 2 using a calculator. Then calculate each of the following: 1 - 1/2; 1 - 1/2 + 1/3;   1 - 1/...

A: Using calculator ln2=0.69314

Q: Determine the value of k > 0 such that;

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Q: Use a graphing utility to graph the region bounded by the graphs of the functions f(x) = 6x / (x2 + ...

A: fx=6xx2+1, y=0,  0≤x≤3 The graph is,

Q: A particle moving in a planar force field has a position vector x that satisfies x' = Ax. The 2x2 ma...

A: Since you have posted multiple questions we will solve only the first question for you. If you want ...

Q: During the heat of the day, the 100-foot bridge expands 1 inch. Now, the ends of the bridge are embe...

A: Given: The length of the bridge is 100 ft. The expansion due to heat is 1 inch.

Q: Given a circle of radius r, having a central angle of θ (in degrees), show the area of that circular...

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Q: 6. The angle of elevation of the sun is decreasing ata rate of 0.15 rad/h. Hbw fast is the shadow ca...

A: From the given data:

Q: For a given angle θ, I found a slight increase in sin θ as the size of the triangle increased.Determ...

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Q: Solve the linear equation: 5x + 11 < 26.

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Q: Use the graph of y = f (x) to match the function with its graph. y = f(x − 1) + 3

A: