What is the angle between the diagonal of a cube and one of its edges? • Hint Angle = radians (Give an answer accurate to two decimal places.) Question Help: Message instructor D Post to forum

Q: The vector v and its initial point are given. Find the terminal point. v = (4, -9); Initial point:…

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Q: Find * In(x² + 2x + 2) dx (x + 1)² In|1 + (x + 1)²| x +1 In|1 + (x + 1)2| x + 1 + 2tan-(x + 1) +c…

A: I am attaching image so that you understand each and every step.

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

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Q: Find the solution. dy 2y + dx -=x²y²sinx 1 (A) y = х? (sinx - c) B y = x ( sinx +c) y = x²(cosx+c)…

A: We have to find solution of given D. E.

Q: 3. Find asymptotes, intercepts and graph. 4х -8 f(x) = X +1

A: Solve the following

Q: Find the magnitude of the resultant force and its angle from the positive x-axis 200 N 300 N 60 O a.…

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Q: 4. How many fixed points does the function T(x) = tan(x) have? %3D

A: for fixed point f(x) = x x = tan(x)

Q: where's the answer?

A: Apologies for the inconvenience. The given limit is limx→99-xx-3. We have to evaluate it.

Q: examples of geometric problems that can be solved using the parametric equations of a line and…

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Q: 7x+2x? (x-4)(2x+3)(2x+1)

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Q: 3 Assume that sin (x) = and sin (y) = -, where < y < 2x. Calculate the indicated function value. <x…

A: We can find sin(x-y) as below.

Q: (6) At the start, an experiment records 1 gram of bacterial culture, and the culture's weight is…

A: Given: The initial amount of bacteria i.e. at t=0 hours = 1gm The culture's weight carrying capacity…

Q: ........... Find sets of parametric equations and symmetric equations of the line that passes…

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Q: D write tue nesxt two apparent of tue sequence tems 1, 농 '5 27

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Q: Let I = / (7x + 14y²) dA where %3D D is the region between y = 3x² and y = 12. a) Sketch the region…

A: see below the answer and explanation

Q: xdx + ydy = (x² + y²)dx

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Q: Find the exact length of the curve. (Show all work separately and submit on HuskyCT immediately…

A: Given

Q: 3 5 where x and Зл < y < 2n. Assume that sin (x) = sin (y) = - Calculate cos (x – y). (Give an exact…

A: Here, sin x=35; π2&lt;x&lt;π⇒cos x=-1-sin2x=-1-352=-1-925=-25-925=-1625=-45 And, sin y=-56;…

Q: Find an equation of the plane with the given characteristics. The plane passes through the point (5,…

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Q: About 27% of the body of a person floating in the Dead Sea will be above the water line. Assuming…

A: Mass= density× volume

Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = x³ – y³, P(10,…

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Q: Exercise To Try 5 Find the area under the curve y = 2x +1 and above the x-a interval (0, 3]

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Q: sin x 34. lim 1 - x o0-r

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Q: State whether the following numbers are rational or irrational. a) V4+7/2 b) V36 c) V112510716

A: Given: a)4+72b)236c)112510716

Q: Find the relative maxima and minima of y by the second-derivate test: y= x^3+6x^2+

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Q: Find the tangent and cotangent of 195". Note that 195 = 150 + 45. Use sum or difference formulas…

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

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Q: We have 3 3 27 dx dy = 4 y (x – 1)2 - Select one: True O False

A: Given query is to find statement is true or false.

Q: Find the limit. (If you need to use o or -oo, enter INFINITY or -INFINITY, respectively. Round your…

A: lim  ln(x-2) x--2+ here we can direct apply limit  ln(2-2) = ln0 =  INFINITY

Q: Find the center (h, k) and the radius r of the circle 4x2 + x + 4y? + y – 10 = 0.

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Q: Find the tangent plane to the equation z = 7e. 4y at the point (8, 16, 7) = Z Question Help: D Video…

A: Given z=fx,y=7ex2-4y        Point x0,y0,z0=8,16,7 To find the tangent plane:

Q: A2. If y = In10 10* then y'= %3D (a) x. 10*-1 (b) x10. In10 (c) 1 L 10* Ina

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Q: Choose the correct answer. 1. The sequence (x) = (-n) is. a) Cauchy b) bounded e) divergent d)…

A: We have1) The sequence (xn)=(-n) is . . . . . . . . .Now we have take n=1 x1=-1put n=2x2=(-2) So, we…

Q: * sin" (3y) cos" (3y) dy 10 (3y) dy COS 15360 111546435 256 156009

A: Given:   Given:    ∫0π6sin133ycos103y dy

Q: f(x, y) = R is the rectangle bounded by +1 -5<x<5 and 0<y<1.

A: Given function fx,y=1ex2+1Region R is bounded by -5≤x≤5 and 0≤y≤1.Surface area of over region R is…

Q: The function 7) = x-21 at x-2 has X-2 a a removable discontinuity b. ajump discontinuity an infinite…

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Q: QUESTION 12 Solve the problem. Suppose you wish to prove the statement that follows using…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Exercises

A: As per our guidelines we only solve one question and rest of the question will be reposted.

Q: 21) Find tre fourth degree Taylor poly nomial Centned at C=4 for the function. m 7 (x)=In(x) Angues…

A: Pn(x) = f(c) +f'(c)x/1! +f"(c)x2/2! +.....+fn(c)xn/n! here we have to make upto 4 degree f'(x) = 1/x…

Q: Exercises

A: The given figures are: and

Q: 4. The measurement of a side of a square is found to be 16 in. The possible error in measuring the…

A: We have to find the error in the area.

Q: Find: e sinx dx tanx CsC x dx 4x3 + 4x²+ x

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Q: Why is s = 2y?

A: Points on the two sides of the parabola are of the form x, y and x, -y. The distance between them is…

Q: Evaluate * Vx² – 1 dx.

A: Given,  ∫ x2-1x2dx

Q: Qz IF A-(-2 4) B=(% 4) 2 3 -2 4 Prove! CA *B)*C A*(BaC)

A: Here, the given matrices are: A=-24, B=5104, C=23-1-241

Q: Evaluate the following integral using trigonometric substitution. хах Vx2– x – 1 а.

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Q: Euler me thed to salıe use

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Q: 7. The function f (x,y,z) = xyz, when subject to the constraint x + 2y + 3z = 72, has one critical…

A: 7. The function f(x, y, z) = xyz, when subject to the constraint x + 2y + 3z = 72, has one critical…

Q: Finding a Limit In Exercises 11–28, find the limit. Use a graphing utility to verify your result.…

A: LetL=limx→ 0x+1-13xlimx→ac·fx=c·limx→afxL=13·limx→ 0x+1-1xRationalise the numeratorL=13·limx→…

Q: Find the gradient of the function at the given point. f(x, y) = 5x + 2y2 + 4, (4, 2) Vf(4, 2) =

A: Topic = Functions