Using identities to simplify completely trigonometric expression below :  sec t / tan t    *I have included an example on another trigonometric expression but I don't understand how to do the one above*

Q: Find the equation of the line tangent to y = -3x² + 3x + 2 at x = -1. Oy=9x−1 y=-62-5 Oy=9z+5 y =…

A: given y=-3x2+3x+2 at x=-1standard form is  y=mx+cwhere m is slope of line m=dydxdxndx=nxn-1

Q: K Evaluate. b √3x³x 1²³x²0x=0 a

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Q: A certain index I is a measure of soil moisture. An article described the rate of change of I with…

A: we need to solve the given initial value problem.

Q: a. Find the open interval(s) on which the function is increasing and decreasing. b. Identify the…

A: We have to find the critical points and absolute extrema.

Q: Write as a sum of three terms  x^3+xy+y^3 x^2 (That's supposed to represent a fraction)

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Q: Find the exact value of each of the following under the given conditions. a. cos (α + B) b. sin (x +…

A: Explanation of the answer is as follows

Q: Q. ƒ'(x) = ƒ' (5) = Let f(x) = f'dt. Evaluate the following.

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Q: Eliminate the parameter t to find a simplified Cartesian equation of the form y = mx + b for ſ x(t)…

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Q: Inverse functions, Exponentials, and Logs Answer all questions, Show all work. 1) a) Find the…

A: Note:- these are multiple questions according to company we can do only 1 question so i am doing…

Q: ← Find the future value P of the amount Po invested for time period t at interest rate k, compounded…

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Q: Prove that the inverse hyperbolic function can be written in terms of logarithms: cosh¹x =…

A: We have to prove that cosh-1x=lnx+x2-1 for x≥1.

Q: L(t) = (−2,0, 3) +t(2,3,−4), _ne 27x+10y + 21z = 1279. is … -∞<t<∞

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Q: Assuming a constant interest rate of 8% per year, determine how much would you have to invest today…

A: Given query is to find the invested amount.

Q: Find the area enclosed by the given parametric curve and the x-axis. x = 8 sin(t), y = sin(t)…

A: To find the indicated area

Q: = Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

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Q: Eliminate the parameter t to find a Cartesian equation in the form x = f(y) for: [x(t): 2+² ly(t) =…

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Q: Find a vector equation for the line through the point (4, 5, -1) perpendicular to the vectors , 6,…

A: we have to find the line equation passing through point (4,5,-1) and perpendicular to the vectors…

Q: Coefficients Linear in two variables. Find a general solution of the differential equation (y - 4x -…

A: We know  ∫xdx/(x²+1)= (ln|x²+1|)/2  ∫dx/(x²+1)= tan-1(x) or arctan(x) Given differential equation,…

Q: . Expand and simplify the expression dada bile yd betwee (cos+isin)³ Express the answer in standard…

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Q: Determine the measures of angles between diagonals of the rectangle whose vertices are:

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Q: For the sequence an its first term is its second term is its third term is its fourth term is (-1)"7…

A: an=(-1)n7n2for first term put n=1

Q: Find sin 2x, cos 2x, and tan 2x if cosx= 1/sqrt5 and x terminates in quadrant IV

A: Topic - Trigonometric identities we are given, cos x=15in IV quadrant,cos x &gt;0sin x&lt;0tan…

Q: A flu is spreading at a rate of dn/dt = 180t-3t² where n is the number of people affected at any…

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Q: Find the present value of an annuity of $5000 paid at the end of each 6-month period for 6 years if…

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Q: Using the binomial theorem to find the 4th term of √x + 2

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Q: Find, correct to the nearest degree, the three angles of the triangle with the given vertices. A(0,…

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Q: For the sequence defined by: a1 = 4 = an+1 = Find: a2 az || = || a4= 3 an +1

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Q: If f(x) = csc(3x), then f'(x) = O-3csc(3x)cot (32)

A: Given query is to find the derivative.

Q: 8. Find the differential of each function: (a)y=tan(cos.x) : (b) y=- Answer D

A: 8) a) y= tan(cosx)

Q: Determine a vector equation for the line segment connecting the points: P = (-9, -4, 3) and Q = (-6,…

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Q: Follow the hint and solve the system.   log(x) + log(y)  =  3 2  2 log(x) − log(y)  =  0…

A: Logarithmic equation

Q: Find all possible functions with the given derivative. t 1²/24 f'(t) = cos 9t- sin f(t) =

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Q: Write a velocity function for mr drygas's car

A: Given the position function of Mr. Drygas's car is given by s(t)=516t2-14t3 , for t=0 to 1 .

Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, and points of…

A: The given function, fx=7-5xx-2. We have to find its intercepts, relative extremum, inflection point…

Q: dt If an amount Po is invested in the Mandelbrot Bond Fund and interest is compounded continuously…

A: Given that the interest is compounded continuously at 6.8% per year, the balance P grows at the rate…

Q: 2. (D4 + + 5D² +4) y cos (3x +4)

A: We need to solve D.E.

Q: 10).  Compute the Taylor series of the function around x = 1. f(x) =  x 4x − 2x2 − 1 f(x) =  ∞…

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Q: rectangular building is to be built on a triangular corner lot with the perpendicular sides equal to…

A: We will find the required  maximum area.

Q: Determine whether the series is convergent or divergent by expressing s, as a telescoping sum. If it…

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Q: 5x 2. lim x→+∞ In(2+ex)

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Q: i = (-1,-1, 7) + t (4, −8, 2), -∞ < t < ∞o.

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Q: Find the integer in the interval (7,10) with the property that if we divide it by 4, the result is…

A: Solve the following

Q: open interval(s) on which the function is increasing and decreasing. b. Identify the function's…

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Q: Find and dy dx x = 3t - 3ln(t), dx dy dt' dt y = 8t² - 8t-2

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Q: Compute the average value of f(x) = √4x + 1 on the interval [0,2]. Average value =

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Q: 7. Find the area of the triangle with B = 83°, a = 7 ft, and c = 12 ft.

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 0. A footbridge is to built across a small lake from a gazebo to a dock. From a tree 100 yards from…

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Q: Evaluate. Use a capital C for any constant. [(6x (6x +4)7 dx =

A: To solve the given indefinite integral.

Q: (D4 + 5D²+4) y = cos (3x +4)

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Q: Given that g(x) = f(t) dt use part 2 of the Fundamental Theorem of Calculus to find g(x) for the…

A: ∫tndt=tn+1n+1+cg(x)=∫1x(3t2+6t)dt