Calculus How many numbers are relatively prime to the following number. - 209 - 323 - 867 - 31 - 627

Q: 3e" da V4-e2a

A: We have to find out the integral

Q: S e6m sin m dm Integration by Parts

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Q: (e) If p = tą+3ī , then p, q, andr must be coplanar F Ccould be wltihear)

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Q: Find the arclength of r = (1+sin(2θ))^(1/2) for 0 <= θ <= π

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Q: answer

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Q: f(x) = S, 0 1+x2

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Q: (a) Solve the equation on the given interval, expressing the solution for x in terms of inverse…

A: Let's find.

Q: Find the horizontal and vertical asymptotes of the graph of each function. Do not sketch the graph.…

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Q: Define f : R2 → R by f(x) = -9 x2 + 10 æy – 6 y² + 100 x – 62 y – 20. 1. Obtain Vf and give each…

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Q: Given: (6, 0, –2) and (0, 8, 0). (6,0, –2) × (0, 8, 0) = æi + yj+ zk. Find x +y+ z.

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Q: ne differe htial equation 25+ソ-3)dy = ($424-3}dy

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Q: 3/1- The table below includes data from a study that was applied to five people to measure weight…

A: for disperesed of data we have to find median for weight 59 65 65 67 69 here odd number of…

Q: 10. A boy is flying a kite on a string. The kite is 120 ft above the ground and the wind is blowing…

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Q: Find the position vector for a particle with acceleration, initial velocity, and initial position…

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Q: dx Vx-4x-7 S- -dy y2-8y+5

A: The given integrals are' 1)1/sqrt(x2-4x-7)  2)7/(y2-8y+5).

Q: Use the Linear Approximation to estimate Af for f(x) = when a = 2 and Ax = 5+x (Use decimal…

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Q: I. Find əx and and (whenever possible) for the following functions. az ne ду 1) w%3D 5x*у — 11ху3 +…

A: 2). The given function is: w=2ytan2x+y-3xsecx2y3   As we know that; The Power law: ddxxn=nxn-1 The…

Q: Evaluate the integral using integration by parts. Do not use any other method. You must show your…

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Q: Use a calculator to find the approximate value of the expression. Round the answer to two decimal…

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Q: 2 cosx+3 cosx=2, 0Sx<27

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Q: Prove the following identity: 1- tan? e cos 20 = sec e

A: solution:-cos2θ=1-tan2θsec2θ RHS=1-tan2θsec2θ        =1-sinθcosθ21cosθ2,      ∴tanθ=sinθcosθ &amp;…

Q: 2) w = 2yTan(2x + y) – 3xSec(x²y³) %3D

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Q: csc(cot a)+cos? a sin? x dx

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Q: (a) Use the Second Derivative Test to find the local extreme values of the function f(x) = (x³ +…

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Q: Suppose the symmetric equations of lines l, and l2 are = 2 – y = z and x = -1, = respectively.

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Q: Find the arc length when y = 2 ln(sin ) and /3 << x < T. %3D

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Q: 3) lim-) 1 х-1 \x-1 In x)

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Q: VI. Determine all the relative minimum and maximum values, and saddle point/s (if any) of the…

A: Given,  h(x,y)=x3-3x+3xy2

Q: 3. f(x) = (2x + 1)3 4. f(x) = V7 + V3x + 1

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Q: a. f(x) = ln 3sqrt(2x^3+5) (Use log properties to simplify first)

A: Solve the following

Q: Write the equation of a sine function that has the following characteristics. 1 Amplitude: 2 Period:…

A: Sine function :  y= a sin(bx-c) ; where, 'a' is the amplitude and 'c' is the phase shift .…

Q: aluate the function. Give the exact value. cos tan(V3) -1 cos(arctan( V3% = 0.5

A: Given query is to find the value of the expression.

Q: A plane P, in R'is perpendicular to the vector i = (4, 5, 7), and contains the point (3, 3, 8). a.…

A: A plane P1 in R3 is perpendicular to the vector n→=4,  5, 7, and contains the point 3, 3,  8.a To…

Q: Зx+1 5. f(x) %3D 3x2+2

A: f(x)=3x+13x2+2Differentiate…

Q: A right circular cone has a base radius of 6 feet and slant height of 10 feet. If the approximate…

A: We can solve the given problem by using differentials.

Q: S 23x26 + 35 + x2-16 dx x-4

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Q: Let 7(t) = Find a parametric equation of the line tangent to 7(t) at the point (22, 324, 13.54)…

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Q: 6. S 2sin´x sin(2x) dx

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Q: For the curve defined by *(t) = 2 cos(t)i +2 sin(t)j + 3tk evaluate F (2)||du S = to find the arc…

A: Given that the curve  r→t = 2 costi→ + 2 sintj→ +3tk→  = f(t)i→+g(t)j→+ h(t)k→        we  have to…

Q: b.

A: answer is in next step

Q: 18 C. Solve as indicated. 4. A car costs Php 800,000. Find its value after 4 years if it depreciates…

A: car cost Php 800000 value after 4 year = ? per year depreciate is 20% 800000*20/100 = 160000…

Q: (D² + 4)y= 4 cot 2x

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Q: Volume of Solid Revolution(Circular Disk/ Washer Method) Find the volume of the solid generated by…

A: Given problem:- Find the volume of the solid generated by revolving the area bounded by the given…

Q: -2 2 dy 7e" + 5. -5

A: Given :∫-5-27ey+2ydy

Q: Integrate using any applicable method. Be sure to give an exact answer. (3z+1) Enter your answer in…

A: Solve the following

Q: (3t — х)е-2t | Given : v = Find ar2

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Q: Find the minimum and maximum values of the function y = 8Vx? +1 – 5x on the interval [0, 3] by…

A: To find the minimum and maximum values of the function y=8x2+1-5x on the interval 0, 3 by comparing…

Q: 1. A supermarket employee wants to construct an open-top bax from a 14 by 30 in a piece four corners…

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Q: set B: Problem #G · Find the equation of the line tangent to X = JL F (x) C) cos?x - sin2

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Q: 2 5. Given cos a =- and tan ß =- 2 575BS7, determine the exact COs a value of: a) cos(a + B) and b)…

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