Find the exact value of the following trigonometric expression: cot y- csc y = Basic Funcs Trig

Q: Sse sech²xtanh²x dx 2.

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Q: Find the surface area generated by rotating the given curve about the y-axis. x = et - t, y = 4et/2,...

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Q: Consider the given function and the given interval. f(x) = (x - 7)2, [6, 9] (a) Find the average val...

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Q: The following bar graph shows U.S. math SAT scores as a function of household income.† A bar graph ...

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Q: cos“ I dr 4 sin* I

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Q: 25 The function f is shown below. What is the value of i/ f(x) dx? Write your -4 answer in simplest ...

A: This question is related to definite integration, we will solve it using given information. 

Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. (1) an = tan-1 (...

A: Here we have to determine the given limit.  We have, an=tan-11-4n

Q: Find y' by implicit differentiation 1. x³+y³=6xy 2. x²+y²=4

A: Question 1,Given,           x3+y3=6xyTo find : Find y' by implicit differentiation.

Q: x² – 19x + 34 - lim %3D x → 2 x – 2 - (Use calculator and write your final answer in the given box)

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Q: Find the general term of the sequence, starting with n = = 1. Determine whether the sequence converg...

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Q: A house sells for $81528 at the end of 2010 and for $161637 at the end of 2017.   If the market val...

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Q: Find the exact value of 750; leave answer in simplest radical form. Enter terms under the radical in...

A: see below the answer and calculation

Q: The function f is shown below. What is the value of | f(x) dx? Write your -4 answer in simplest form...

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Q: Find the derivative of the function. f(x) = 8(x3 - x)4

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Q: Simplify the following expression using trigonometric identities. Your final answer must be a single...

A: Given query is to find simplified term for the expression.

Q: Find the derivative of the following functions using the long method (limits) (a) x =t-5t- 3 (b) y =...

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Q: 2. Find the area of the region bounded by the graphs of y = x2 – 6 and y-3 0.

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Q: Given the graph of the cosine function f (x) = cos x, evaluate the following limits: 27 ........ -1 ...

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Q: The accompanying table shows the velocity of a model train engine moving along a track for 10 second...

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Q: 2. Write an expression for the nth term of the sequence а) 2, 8, 14, 20 ... 1 1 1 b) 1, 4 ' 9 16

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Q: A. (1+ 4xy – 4x² y) dx + (x² – æ³) dy = 0 | - B. (y – sin? x) da + sin æ dy = 0

A: A detailed solution is given below 

Q: cos 2x + 2 sin 2 x = _______

A: This question can be solved by applying the formula of cos2x cos2x=cos2x-sin2x

Q: 10 10 Evaluate 5x dx using the trapezoidal rule and Simpson's rule. Determine The value of 5x dx is ...

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Q: Computational: (1) The concentration C of a certain chemical after t seconds of an autocatalytic rea...

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Q: In getting the derivative of a rational function, just get the derivative of

A: Topic:- derivatives   

Q: decimal

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A: Given: So, here an=1317n-1. Now,                limx→∞ 1317x-1=13·limx→∞ 117x-1=13·limx→∞ 1limx→∞ 1...

Q: Exercise: Do as indicated if x 4. 3 1. Is the function g(x) = continuous on [1,4]? on (-∞, 0)? 3 – ...

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Q: х*+ 4x2-9х-36 3. у %3 4x2+28х+48

A: First we simplyfy then taking derivative. 

Q: 25. Evaluate the following definite integrals. dy d) (y+2)

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A: First we draw a graph then find volume.  Interesting point are 0 and 1 then using limit 0 to 1 . 

Q: 2. x cosh x? sinh x2 dx

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Q: Prove the following identities. cos( - ) sin x/2

A: NOTE: Refresh your page if you can't see any equations. .

Q: tanh 2x In (cosh 2x)dx

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Q: 10. lim Ve+ 2-2

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Q: Given the function f(x) = x* – 24x², determine all intervals on which f is both decreasing and conca...

A: In this question we have to determine all intervals on which f is both decreasing and concave down.

Q: Given: sin A= { and A is in the second quadrant; evaluate the following expression. cos 20 = %3D -7/...

A: cos2θ = 1-2sin2θ

Q: 3. Determine the divergence or convergence of the series 00 a) Σ (1.075)" п n=0 4n+1 b) E Зп-1 n=1 c...

A: NOTE: Refresh your page if you can't see any equations. . here the sequence is  compare this serie...

Q: How to calculate this? What is the future value of $1966 that you have today, in 14 years, assuming...

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Q: The temperature at a point (x, y, z) is given by T(x, y, z) = 400e -x2 - 5y2 - 722 where T is measur...

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Q: If you will use trigonometric substitution in solving the integral below, what will be the HYPOTENUS...

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Q: Given the function f(x) = 2x + 16x° + 36x, determine all intervals on which f is both increasing and...

A: f(x) is both increasing and concave up in interval from 0 to infinity...as I have done solution in d...

Q: The graph of f', the derivative of f, is shown below. Determine all possible inferences that can be ...

A:   ---------------------------------------------------------------------------- Key points: If f'x  ...

Q: Graph 1 Graph 2 Graph 3 2- -2- Symmetry: Symmetry: Symmetry: Ox-axis Ox-axis Ox-axis Oy-axis Oy-axis...

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Q: 3. Given r(t) = e' sin t i + et cos tj + v2e'k, a) find the arc length function for the curve measur...

A: We have to find arc length function, point and re-parametric equation. 

Q: 2. Find the slope of the curve y? = 3x 1 at the point (-0). Draw the graph of !! the curve.

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Q: Use logarithmic differentiation to find the derivative of the function y = 7x"(#), where r (x) = 8x ...

A: Logarithmic differentiation means taking logaritm first then take derivativea(x)=b(x)c(x) then for d...

Q: 3. Evaluate: -x²+2x dx (Hint: let t = (x – 1)²)

A: We know, ∫0∞e-x2dx=π2. ∫2e-x2πdx=erf(x) erf(1)= 0.84(approx)

Q: Evaluate the integral using trigonometric substitution. 1 dx xV1 + x6

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Q: The instructions for the given integral have two parts, one for the trapezoidal rule and one for Sim...

A: Trapezoidal rule: ∫abf(t)dt=h2f(a)+f(b)+2(fa+h+fa+2h+...+f(a+(n-1)h)where n is the number of subinte...