Without using a calculator, find the exact value of each: i. sin-1(sin)) =

Q: If f(x) 3 sin '(2), then f'(x)-

A: Given that: f(x)=3sin-1(x5)

Q: Write the first five terms of the sequence: {Vn²+n – n}1 n=1 Determine whether the sequence converge...

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Q: The demand for gasoline can be modeled as a linear function of price. If the price of gasoline is p ...

A: Given:- If The Price of gasoline is p = $3.10 per gallon,the quantity demanded in a fixed period is ...

Q: Find the Taylor series generated by fat x = a. 3 f(x) = a = 1

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Q: Given the triangle below, find the angle 0. 15 10

A: Given that:                          

Q: A 16-foot ladder leans up against the side of a building so that the foot of the ladder is 6 feet fr...

A: topic - inverse trigonometric ratios

Q: Consider the following function. x2 + 2x + 2 2 x3 3 (a) Find y' = f '(x). f'(x) = (b) Find the criti...

A: Given: - The function is, y=x33+x22-2x+2 To find: - (a) The derivative of the given function. (b) Th...

Q: L = of €2.10 %3D 6

A: 1/6 of € 2.10 is

Q: Sx² sin x dx

A:

Q: f(x) =sin x. 1) find f'(x). Second, Third, and Fourth derivitive.   2) What is f^(4n)(x) when n i...

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Q: Determine whether the improper integral converges and, if so, evaluate it. (Use symbolic notation an...

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Q: Find: Wx-Wy,Wxy Way, Wxx Wyy,Wz, Wzz Wzx, WZy Wyz, Wxz W= sinh (xy-2) %3D

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Q: 00 Does the seriesE(- 1)"n³ converge absolutely, converge conditionally, or diverge? n= 1 ... Choose...

A: Given series is  ∑n=1∞ -1nn323n To determine whether the series converges absolutely, converges cond...

Q: Evalate the limit 6. lim (e + x)²/x

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Q: Determine whether the series converges, and if so find its sum. 00 1k+2

A: Given that: ∑k=1∞4k+27k-1

Q: Express w as a linear combination of u and v: ? = (4,1), ? = (−2, −1), ? = (2, −2)

A: Let w = (4,1) u = (-2,-1) v=(2,-2) we can write this as: u-21 + v2-2 = 41   -2u + 2v = 4 u - 2v = 1 ...

Q: 22.) Find the slope of the tangent to the curve, y = 2x – x? + x³ at (0,2).

A:

Q: For the following alternating series, (0.6)7 +... 7! (0.6)3 (0.6)5 An 0.6 - 3! 5! n=1 how many terms...

A: Given:   Alternating series is given

Q: 1. Find lim,→0 k e'

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Q: Consider the graph of the function f (x) = x2 – x – 6. (a) Find the equation of the secant line join...

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Q: 2y" – 3y" – 3y' + 2y = (e" + e¬²)²

A:

Q: SOLVE the following DIFFERENTIAL EQUATIONS. 1. cos'x sin x dy + (y cos>x – 1) dx = 0 2. xy' =2xex - ...

A: Given that: y.dx+x(lnx-lny-1)dy=0, when x=1, y=e

Q: Express the repeating decimal as a fraction. 0.685828282828...

A: Given that 0.685828282828 Convert the repeated decimal as a fraction.

Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. 00 (-...

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Q: 4. A projectile is launched from ground level at an angle of 45 degrees. It hits a target that is 20...

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Q: Given the side length b = 9 and the angle B = 43° on the triangle below, find the lengths of a and c...

A: Given that:                              

Q: Use the shell method to set up and evaluate the integral that gives the volume of the solid generate...

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Q: 1) appropriate and explicit substitution: Reduce the following integrals to polynomial type integral...

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Q: Find the x vals of all pnts where the function over the given interval has any relative extrema & fi...

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Q: 7. Find T, N, ar, an at t=n. r(1) = 4cos(1)i–4sin(r)j-3rk

A: Tt = r'(t)r'(t) and N(t) = T'(t)T'(t) aT = r'(t) .r''(t)r'(t) and aN = r'(t)×r''(t)r'(t)

Q: 5. An airplane is flying at an altitude of 8,000 feet with a speed of 600 feet per second. If the ai...

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Q: Differentiate. y = In (8x? -7x+8) y':

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Q: 28. 16(V1+x -1) lim

A: Topic = Limits

Q: Find the linear approximation L(x) of the function g(x) = V1+ x at a = 0. L(x) = Use it to approxima...

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Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. (- 5)...

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Q: Find the convergence set of the given power series: 2" x" n! n=1 The above series converges for < x ...

A: Given:   Limit equations is given

Q: A cylinder has a height equal to its radius. Find the rate of change of volume V with respect to rad...

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Q: If f(r) 5 sin (2²), find f'(x). Find f'(0.5).

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Q: If f(x) tan (5x), find f (x). Use exact values. f'(x) =

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Q: 3. If T(x) = Ax+b is a linear transformation where A is an mxn matrix and x is an n dimensional vect...

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Q: Use the substitution method to find the power series representation of the function using the formul...

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Q: If the length of a certain rectangle were increased by 2 feet and the width decreased by 1 foot, the...

A: Let's find. 

Q: Tt/2 Evaluate the integrals S cos? x sin³ x dx and Sa1 V1– cos2x dx

A: Given that: ∫cos2x.sin3xdx∫0π/21-cos2xdx

Q: d²f , df_ (a) +5- - + 6f =0, f(0)=1, f(0) =- 4 dt? dt

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Q: (a) Find the equation of the secant line joining the points (-1, –4), and (3, 0). y= (x+1) - 4 (b) U...

A: Given query is to find the equation of the tangent line at 1 and graph the function with tangent and...

Q: Find the maximum rate of change of f(x, y) = In(x² + y?) at the point (-4, -3) and the direction in ...

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Q: Let y be the part of the curve y = x² running from (-1,1) to (2,4). Calculate xy dx + (x + y) dy.

A: (1)

Q: Compute the partial sums S2, S4, and S6. + 1.2 5 + 3. 4 + 2.3 S : S4 = II

A:

Q: 4. How many solutions does the following system of equations have? x - 3y + z = 2 3x - 4y+ z =0 2y -...

A: Follow the procedure given below.

Q: 25.) Find the radius of curvature of a parabola y? - 4x = 0 at (4,4).

A: