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Q: Let f(x) = x² + 3x – 2 f(x) – f(1) a) Find lim x- 1 x+ 1 b) Use your answer in part (a) to find an e...

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Q: A native wolf species has been reintroduced into a national forest. Originally 200 wolves were trans...

A: The solution are as follows

Q: Evaluate. sin - 1 sin - 1 sin 5n sin (Simplify your answer. Type your answer in radians. Type an exa...

A: Trigonometry Question

Q: 6. Find the absolute maximum and minimum values of each function over the indicated interval. If no ...

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Q: Evaluate the following indefinite integrals

A: Evaluate the following indefinite integrals

Q: need help on part d

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Q: Let H be the set of all polynomials of the form p(z) vector space. If it is not a vector space, dete...

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Q: Determine the growth constant k, then find all solutions of the given differential equation. y'-2y 0...

A: The explanation of answer as follows

Q: solve

A: Given function: fx=2cos xx2Differentiate the above function w.r.t 'x' f'x=ddx2cos xx2

Q: Find an equation for the tangent line to the polar curve r=θ at  θ=π/2.

A: First find slope and point then use equation of tangent line

Q: All rational functions can be expressed as p(x) f(x) q(x)' where p and q are q(x) # 0. functions and

A: All rational functions can be expressed as fx=pxqx where p and q are __________ functions and q(x) ≠...

Q: Use Green's Theorem to calculate the circulation of F = 2xy i around the rectangle 0 < x < 2,0 <y<7,...

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Q: A test requires that you answer either part A or part B. Part A consists of 8 true-false questions, ...

A: Part A : Part A consists of 8 true-false questions Possible choices =28=256

Q: Compute the length of the polar curve. r = 1 + θ for 0 ≤ θ ≤ π/2

A: It is given that,  r=1+θ  for    0≤θ≤π2

Q: F = 5x45 i + ev6 jl and Clis the quarter of the unit circle in the first quadrant, traced counterclo...

A: Given, F→=5x45i^+ey6j^, and C is the quarter of the unit circle in the first quadrant. We have to fi...

Q: (a)Find the differential dy of the given function y =e* tan x (b) Use the information to evaluate an...

A: Differentiate wrt x

Q: Find the indefinite integral. Scos 2x sin 2xdx sin 2x 30 (5 sin²2x– 3 sin*2x ] + C sin 2x (4-5 sin 2...

A: We have to solve the given indefinite integral- ∫cos32x sin22x dx

Q: The graph of a rational function cannot have both a vertical asymptote and a horizontal asymptote. D...

A: The given statement is as follows -  The graph of a rational function cannot have both a vertical as...

Q: The diagram below shows a right triangle that has side lengths of 8.45 and 3.09 cm. One of the inter...

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Q: Give a Proof Prove that P(n) yields a true statement when n is replaced by any positive integer.

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Q: answer question and please show all work

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Q: need help on part f

A: f(x)=sinx + cosx  

Q: Help

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Q: Problem is attached!  Need help! Please show work so I can fully understand  Please and thank you!

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Q: lim f(x) = 9, lim g(x)=7 and lim h(x)=0. x → 2 x+ 2 x+ 2 Evaluate each limit, if it exists. 5g(x) a)...

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Q: Compute the flux of the vector field v = -4 i+ 3j+5 k through the rectangular region shown below, as...

A: Given  v→=-4i→+3j→+5k→ a=1 and b=3

Q: Please help me with this question. Thank you

A: Explanation of the answer is as follows

Q: Help me

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Q: 6. What is the largest possible area of a rectangle inscribed in the region bounded by the parabola ...

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Q: A right triangle has one vertex on the graph of y=x3,x &gt;0 at another at the origin,and the third ...

A: The right triangle which has one vertex on the graph of y=x3,x &gt;0 and another at the origin,and t...

Q: A semi-elliptical building is 200 feet long and 25 feel tall at its maximum point. If two people wan...

A: Third option is the correct option. When the two people stand at the focus of the semi-ellipse and ...

Q: xe" dx V1+e* Evaluate :

A: Given,           ∫xex1+exdx

Q: Write the vector shown below as a combination of vectors ū and v shown above

A: A vector is an object that has both a magnitude and a direction. Geometrically, we can picture a vec...

Q: Use an Addition or Subtraction Formula to write the expression as a trigonometric function of one nu...

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Q: 2.r + 1 f(r) = 7. Let (x + 1)² (a) State the domain of f. (b) Find the x and y intercepts (if any). ...

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Q: Calculus Question

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Q: Calculate the flux of the vector field F 6i + 2x2j- 2k, through the square of side 4 in the plane y ...

A: Given vector field is F→=6i→+2x2j→−2k→ We have to find the flux of the given vector field. The flux ...

Q: If it converges find the value. Use u substitution

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Q: Varren Pre 14) Find f if f'(x) = 3x2 + 4x - 6 and f(-1) = 3 %3D a) O f(x) = x³ + 2x - 6x b) O f(x) =...

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Q: Consider the right triangle shown below. For each of the following expressions, write an equivalent ...

A: Sin(∅)= y/r  Cos(∅)= x/r  

Q: Evaluate. (Be sure to check by differentiating)

A: Integration by substitutions

Q: Find the indefinite integral.

A: Given integral: ∫exx dx Substitute x=t and differentiate it w.r.t 'x' ddxx=dtdx12x=dtdxdxx=2 dt  

Q: Find each antiderivative using Table 1. 1 -dx 81 dx 19. 20. x(7 - x)

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Q: ) The domain of the function f(x) = 4 – x2 is the set of all real numbers with two exceptions. The s...

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Q: 4 -3 1- -0.5 0.5 1.5 25 3.5 4.5 5.5 6 6.5 7.5 8.5 9.5 10 -1 -3 Assume the velocity of a person trave...

A: Need to select the time where velocity is zero.

Q: I am having trouble solving this problem.  Can you please provide me with some help?  Thank you.  I ...

A: The graph is shown below:

Q: Using the following infromation please answer the questions in the image. Let f(x)=20−x−x2. Find the...

A: Given f(x)=-x2-x+2

Q: need help on part c

A: Derivative and its sign chart

Q: given the graphic of the fubction f  a)f(-2)= b)for which value of x you have f(x)=3? c)in what inte...

A: According to the graph, we can see 

Q: Write the expression in rectangular form, x+y i, and in exponential form, re 10 (-1+ )7 The rectangu...

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Trigonometric Identities

Trigonometry in mathematics deals with the right-angled triangle’s angles and sides. By trigonometric identities, we mean the identities we use whenever we need to express the various trigonometric functions in terms of an equation.

Inverse Trigonometric Functions

Inverse trigonometric functions are the inverse of normal trigonometric functions. Alternatively denoted as cyclometric or arcus functions, these inverse trigonometric functions exist to counter the basic trigonometric functions, such as sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (cosec). When trigonometric ratios are calculated, the angular values can be calculated with the help of the inverse trigonometric functions.