omework. Find Sup, Inf , Max, Min of the following subsets of R: S4 = {x € Q : x? < 2}.

Q: Consider the following function: S-9x2 + 5x + 6 if x 1 Step 1 of 2: At what x-value is the function...

A: Topic = Functions

Q: A. Evaluate the following integrals: 1. sin 'xcos x dx

A: Given: I=∫sin7xcosxdx   ....(1)   We know that; The Power rule: ∫xndx=xn+1n+1+C ; n≠-1

Q: B. Provide a short proof. 5. Show that f cot 0 d0 is equal to In|sin 0| + C .

A: We know, d/dθ (sinθ)= cosθ ∫dx/x = ln|x|     

Q: cos s 40 d0

A: Let's find. 

Q: 6. The region of integration D is bounded by the graphs of the functions y = x*, x + y = 2,x = 0. Sh...

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Q: 1 L (s- 4)6 J

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Q: Find dy/dx by implicit differentiation. 2vx + vy = 5

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Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does...

A: x=3t1y=2-t1z=-1+t1andx=1+4t2y=-2+t2z=-3-3t23t1=1+4t2  ...(1)2-t1=-2+t2 4-t1=t2  ...(2)-1+t1=-3-3t22+...

Q: 1. The exact differential d(xy)= xdy+ ydx, what is the d( = 4x' y'dy+2xyʻdx. 2. The exact differenti...

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

A: We can solve this as follows:

Q: . The exact differential d(xy)= xdy + ydx, what is the d( = 4x²y'dy+2xy*dx.

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Q: If the integral from 0 to 2 of the function g(x) is equal to 3, what is the integral from 0 to 2 of ...

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: Graph the functions in Exercises. of the function on the interval and say where they occur. . Then f...

A: 73. hx = x+2-x-3-∞&lt;x&lt;∞ “Since you have asked multiple question, we will solve the first questi...

Q: Implicit Differentiation. dy There is need to simplify. da Use implicit differentiation to find a. c...

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Q: x? + 2x dx Vx³ + 3x² + 1

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

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Q: Consider the points A(3, –2, 3), B(4, –4, 1), C(-2, –3, 1), and D(5, 3, –4). (a) Find the volume of ...

A: Gven points,A3, -2, 3B4, -4, 1C-2, -3, 1D5, 3, -4

Q: Consider the function f defined as f(x) = 1 for 0 < x <1 and f(x) = 2 for 1 < x < 2. Define G(x) = S...

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Q: Explain why the three points (2,3,-1), (8,5-5) and (-1,2,1) do NOT determine a plane. You must suppo...

A: Given problem:- Explain why the three points (2,3,-1), (8,5-5) and (-1,2,1) do NOT determine a plane...

Q: E -Y - 4 = z + 6 6

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Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does...

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Q: 2. Determination of integrating factors: 2y(x - y+ xdx+(x² - 2ydy 0

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Q: tan (n) – tan (n + 1) n=1 b) 2" + 3" 4" n=]

A: We have to find the sum of the given series

Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does...

A: Let's find. 

Q: 22 (1 + x)*

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Q: Consider the following. u = 5i + 3j, v= 2i + 4j (a) Find the projection of u onto v. 296i + 111j 73 ...

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Q: Determine whether the lines given by the symmetric equations x - 1 y - 2 z - 3 %3D 2 3 4 and x +1 y ...

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Q: n 1: Evaluate the ff. indefinite integrals. 1. S (12x³ – 6x² – 4x +) dx

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: (d) y" – 8y' + 20y = 100x² – 169xe". %3D - (e) y" – y' – y = exp(5x). %D | (f) y" – 2y' + 5y = e" si...

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Q: Consider the following. u = (1, -9, -7), v = (6, -2, 0) (a) Find the projection of u onto v. (b) Fin...

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Q: Given vector u = (3, 1) and v (1,3) , determine the value of 2u – 3v in component form.

A: Use component wise addition and multiplication for required answer. 

Q: ÔM In the differential equation (y² – x² – 4x–1dy+2y(x+y+2)dx= 0, ду

A: COMPARE THIS EQUATION TO STANDARD DIFFRENTIAL EQUATION.

Q: 3. The cost C of manufacturing transformers in a factory varies with the output N per day according ...

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Q: Зх - 8 If 3 = 0, then x = ? 3 3 Зх— 8 3 Зх — 81 3. 3.

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Q: 8. Simplify. Show your work. (V27 + V12 – V32 - V18)(V12 + v3 – V50 – V32)

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Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does...

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Q: 7x Find the linearization L(x,y) of the function f(x,y) = e cos (5y) at the points (0,0) and

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Q: Determine D103 (cos 2x).

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Q: 8. lim xcot3x

A: Given; limx→0xcot3x So, We can also write as; limx→0xcot3x=limx→0x1cot3x=limx→0xtan3x   ...We know: ...

Q: plane passes through each X + 2y - 4z - 1 = 0 %3D (a) (-5, 1, –1) O Yes O No

A: Given query is to find plane passes through the point or not.

Q: Determine whether the planes are parallel or identical. -5x + 3y –8z = 5 15x - 9y + 24z = 14 O The p...

A: Two planes A1x+B1y+C1z =d1  and    A2x+B2y+C2z =d2  are parallel if                      A1A2 = B1B2...

Q: Solve each problem A segment has a midpoint at (10. 5, –0.5) and the endpoint at (6, 11). What are t...

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Q: Find the vector component of v = (4, – 1, 7) along b = (1, 2, -2) and the vector component of v orth...

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Q: Find the angle 0 between the vectors in radians and in degrees. u = 31 + 2j + k v = 21 – 3j (a) radi...

A: We have to find angle between given vectors.

Q: Find the area of the shaded region. y-2 y- 2áin(rox)

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Q: 9. The normal line to the curve y = x at (1, 1) intersects the curve at another point Q. What is the...

A: Given problem:- The normal line to the curve y = x2 at(1, 1) intersects the curve at another point Q...

Q: 3 4+2x

A: Given,             32=x4+2xTo find : What is the missing term in the proportion?

Q: dy Find Use logarithmic differentiation whenever appropriate. dx (1+x – x²)³ - sec 4x (x – log x)6

A: We will use logarithmic differentiation to solve this question.

Q: Determine is the series is absolutely convergent, conditionally convergent, or divergent. Show your ...

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