Find the length of the curve x = from y = 1 to y = 3. The length of the curve is (Type an integer or a simplified fraction.)

Q: III. Given f(x) x+4 do the following: a) Find f-1(x) (if it exists). b) Determine the domain and ran...

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Q: dy Use logarithmic differentiation to find given that dx c-'(yT) y = 4sech(5z) (log6 x)=`

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Q: Given f(x) = 2/x + 5 and g(x) = 2x^2 − 5, find f(g(x)) and g(f(x)).

A: Let's find. 

Q: d?s sin 3t + cos 3t dt2

A: Explanation of the answer is as follows

Q: Find all values of x, xe[0,2n] where f(x) = secx has a horizontal tangent line

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Q: Find an algebraic expression equal to sec (cot- (3x)). (You may assume that- < cot-l (3x) < 5 .) Pro...

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Q: Question 11 Evaluate the integral Jve'dy. A Enegative 1 half e to the power of y squared end exponen...

A: Let's find. 

Q: Let fit)=F(t), where F(1) = 412- 5r+5t_ Evaluate the following integral using the Fundamental Theore...

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Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = xo and then find the nth Taylo...

A: Given :   f(x)=7sin(pix) X0=9/2

Q: What is the general solution to the differential equation y[1 – xy tan(xy)]dx – x[1+ xy tan(xy)]dy =...

A: Put yx=v and solve it. 

Q: Find the radius of convergence for 2" -(4x–8)" n n=1

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any ...

Q: Find Z, * Z, and Z,/ Z2 Write the answers in rectangular form (a + ib). Z, = v2(cos" +i sin), Z2 = v...

A: Need to find Z1·Z2 and Z1Z2 Given information: Z1=2cosπ4+isinπ4, Z2=3cosπ12+isinπ12

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

A: This is problem of sequence calculation. Based on the general formula and test available we will ans...

Q: Book Design A book designer has decided that the pages of a book should have 1 in. margins at the to...

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Q: a. V3cosxcscx = 2cosx

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w ...

A: Find your answer below 

Q: 2x + 8, z 8 is continuous at z = 8. Justify the conclusion. (i) f(8)= (ii) lim f(r)= Z-18 (iii) lim ...

A: i) f(8)=16ii)limx→8-f(x)=limx→8-(2x+8)                     =2(8)+8                                  ...

Q: 2 5. f(x) = x3

A: We will use the definition of a derivative to solve this question.

Q: The demand function for a good isp = 42 – 0.01q. Round your numeric answers to one decimal place. a)...

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Q: Let f(r) = a and for each real number n > 1, define the function In(x) = 1 – (i) Find the area A, bo...

A: Two function are givenfx=x2gnx=1-1-xn     where n≥1.

Q: Question 3 Evaluate the Integral |(4-3sin2p)+ cos28 dp. (A 30 -(4– 3sin2ß) $+ C B -(4– 3cos2B) 5+ C ...

A: lets assume that u = 4 -3sin2β du/dx = -6cos2β dx = -du/6cos2β   ∫ -u4du/6 -u5/30 +c now put the u v...

Q: A linear function is given. Complete parts (a)-(d). Ay 10- g(x) = - 3x + 4 8- 6- 4 (a) Determine the...

A: The equation y=mx+c represents a line, where m=slope and c=y-intercept.g(x)=-3x+4a) m=-3   slope is ...

Q: Find Z, * Z, and Z1/ Z2 Write the answers in rectangular form (a + ib). Зл 2(cos+i sin),Z, = 4(cos +...

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Q: 1 dx = Blank 1 1+ 8x Evaluate the Definite Integral

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Q: Find the indefinite integral using integration by parts with the given choices of u and dv. (Use C f...

A: Given ∫x2lnx dxu=lnx, dv=x2dxWe know that integration by can be found by∫v.u-∫v.du

Q: (b) Which of the following could be graphs of the function? Choose all that apply. O population year...

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Q: The grap o f Jeax to use 2 drow laned y=-X- tuse Twe grap of y = txt to grap Tue funetion yotX++3qud...

A: This question is based on translation of function.

Q: Find the radius of convergence of in=0 negative infinity -1 infinity

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Q: The motion of a particle is described by the position function S(t) = t³ – 4.5t² + 6t + 2, t > 0, wh...

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Q: Determine Whether the series is convergent or divergent. Write the exact tesst that you Use.

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Q: Find the extreme values of the function f(x) = x3 + 9x² + 5 on the interval x E [-1,3]

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Q: dy Find using implicit differentiation, for the equation x+ y° = 10 is. dx %3D x2 y? x?

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Q: Find the integral. In 8x dx

A: I=∫ ln 8xx dxln 8x =t18x(8) dx = dtdxx =dt

Q: dx 5. Half-Angle Substitution J 3+5cosx

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Q: Decide whether the integral is improper. 6 dx 5 X O proper O improper Explain your reasoning. (Selec...

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Q: Evaluate the integral. HINT: [Use a shortcut.] '5 3x dx x2 + 4

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Q: e Wallis's Formulas to evaluate the integral. 'T/2 .3, cos xp (x),s

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Q: State the trigonometric substitution you would use to find the indefinite integral. Do not integrate...

A: We have to find substitution of x

Q: x+4 dx Vx 6. 7. 4Vx + 2xVxdx 8. (x2 – 1)*dx

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost other ...

Q: f (x,y) =x³ cos y Given df (2, 1) дх of and (2, л). Evaluate ду

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Q: 2. Solve the measure of the indicated angles using Figure 2. a. mzK = b. mzl = c. m2C = K (7x + 5) %...

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Q: If (5,1) is a point on the graph of y = f(x), which of the following must be on the graph of y= - 2f...

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Q: 4 2xdx х2 — 4х + 8

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Q: what is the square root of 142 what is 124 devited by 123 what is 11x13 regroup 144+132

A: Let's find. 

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 10j as ...

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

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Q: 2 Find fx) + 2g(x)]dxif / F(x)]dx = 5 and / [g(x)]dx - 3. 1) In order to evaluate this integral, use...

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Q: Evaluate the integral if it converges and enter the exact value. If the integral diverges, indicate ...

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Q: Find the indefinite integral using integration by parts with the given choices of u and dv. (Use C f...

A: ∫ xcos4xdx u =x          dv = cos4xdx ∫u*dv = uv - ∫ vdu so for v integrate dv ∫dv =v = (sin4x)/4 ∫...

Q: z² - 5x + 1, "I 5 Evaluate the following limits for h(z) = and Justify your answen %3D (1) lim h(r)...

A: Solving