Copy of Investigation - H... E Classes

Q: What is the polar form of the equation? (x+6)² + y² = 36 O² 12r cos 0 Or(r+ 12 cos 0) = 0 ○r (r + 12…

A: x+62 + y2 = 36

Q: 29. Evaluate z²zds, where S is the portion of cone 2² = x² + y² that lies between planes z = 1 and z…

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Q: 8 3 + 8 2 + 18 3 3 + 8 3 +. ...

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Q: Find the vectors T, N, and B at the given point. T = N = B || r(t) = (5 cos(t), 5 sin(t), 5…

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Q: A ship leaves port at noon at a bearing of 143°. The ship's average rate of speed over this time is…

A: A ship leaves port at noon at a bearing of 143°.  The ship’s average rate of speed over this time is…

Q: ∞0 (x+1)" n=1 Vn4n

A: Use the Ratio test

Q: Determine whether the improper integral diverges or converges. O converges O diverges dx Evaluate…

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Q: Evaluate the integral. (Use C for the constant of integration.) [si sin³(y) cos(y) dy

A: NOTE: Refresh your page if you can't see any equations. . use the formula:  sin2x=1-cos2x

Q: The owner of a skating rink rents the rink for parties at $700 if 50 or fewer skaters attend. For…

A: The owner of a skating rink rents the rink for parties at $700 if 50 or fewer skaters…

Q: True or False a) If the second derivative = 0 at x = a, then you will have an inflection point at…

A: We have statements: a) If the second derivative = 0 at x = a, then you will have an inflection point…

Q: 4 (3x² – √x) dx

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Q: Find the formula for dif dx ln(x² + y²) = xy² + 1.

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Q: Find the value of d2y/dx2 at the point defined by the given value of t. x-9 sin t. y - 9 cost, t =…

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Q: In Problems 6-10, let R be the region bounded by the semicircle x =√√4-y² and the y-axis. Each…

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Q: Evaluate the integral. (Use C for the constant of integration.) √ 8 tan³(x) sec(x) dx

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Q: 6. Are the following expressions meaningful? Answer yes or no next to it. a. axb.c b. a. bxc I c. dx…

A: Given that  a→×b→.c→a→.b→×c→d×a→To determine the expressions are meaningful or not

Q: ate the me tegral, √ xy² xy² ds, C is the right half of the circle x² + y² = 4 oriented…

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Q: Find sin(8) O√3 -|~ 2 √2 2 이틀 2 TT 5T/6 7m/6 2/3 4/3 TT/2 3T/2 ○ TT/3 5/3 _TT/6 /11/6 0

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Q: = x³ and What is the volume of the 3D region, whose base is the region between the curves y = y = √,…

A: We have,   Curves :- y = x3 and y =  √x  Cross section are squares.

Q: [[[* (x - y) dV, 2. Perform the triple integration: z = 12², and the planes y = 0 and y = 2. where E…

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Q: f(x) = 1 1+4x2

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Q: Provide an appropriate response. If cos x is replaced by 1-- O JE] < 0.000014222 OE < 0.000085333 O…

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Q: x² √x² - 9 s dx

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Q: Z O-14.8182 O-10.4091 -11.6250 O-12.6136 6 O-13.7159 10 -7 15 -11 f The function is continuous on…

A: Use formula of the area of trapezoid.

Q: Given one form a line, match it with its equivalent equation in another form. x = -t { y = 1 z = 1+…

A: x=-ty=1z=1+t

Q: 6. For f(x, y) = x²exy Find fx (2,1) {needs product rule}

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Q: lim x →∞ lim x →∞ 77-3x+71 cx77-71 ax ax77-3x+71 cx74-71 ax74-3x+71 lim x →∞ cx77-71 = AY AY

A: we need to find the given limits

Q: Represent a⃗ +b⃗  by using the head to tail method. Use the Vector tool to draw the vectors,…

A: We need to find vector.

Q: 7. fc (x + 2y) dx + x² dy, C consists of line segments from (0, 0) to (2, 1) and from (2, 1) to (3,…

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Q: thank you for the explanation but i think you misunderstood me the exam is an mcq exam of 25 minutes…

A: Given integral,I=∫011(x-2)x2+2xdxWe need to find whether the given integral converges or diverges…

Q: 9. 4y Find the relative extrema of f(x, y) 5 Notes: D=fxxfyy (fxy) ² if D>0, then if fxx>0: rel min…

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Q: Represent the sum of the complex numbers −3+2i and −3−i on the complex plane. Use the Point and…

A: Given that -3+2i and -3-i To determine the sum

Q: F. dr. For example, the in Sc F. dr where =tb (1)'4- ((1)) 16.2 EXERCISES 1-16 Evaluate the line…

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Q: represents a vector going 5 km/h N20°E. What is a. 5 km/h S20°E b. 1 km/h S20°W A ? 1 km/h W20°S d.…

A: A→ represents a vector going 5km/h N20°E

Q: Find a plane containing the point (5,-2,8) and the line of intersection of the planes 7x+6y-z = 27…

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Q: 5. Consider the function: f(x)=x²ex a) Determine the first AND second derivative. 1 b) Determine the…

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Q: 1. Given the following vector in 2D 100 m [E10°S], Determine the following: a. Another vector that…

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Q: Simplify the expression. ✓-25 √9 Select one: √5 3 a. O b. O c. O d. -- Wher wher 5 3 3 i

A: The expression is given by -259 To determine: The simplified expression.

Q: 11. Use a table to find the Taylor polynomial P3 (x) for f(x) A. B. P3 (x) = Use the series to…

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Q: Solve the formula for k 7k + ka a = f

A: Use multiplication rules

Q: A line has slope -3 and y-intercept 5. Find a vector equation of the line. OA) [x, y] = [5, 0] +…

A: A  line has slope -3 and y-intercept 5. To find the vector equation of the line.

Q: Given cos(8) = for << 플 thentan(0) = 3 +|m ○ -3 4 4

A: Given: cosθ=-35, π&lt;θ&lt;3π2 We are required to find: The value of tanθ.

Q: Prove or Disprove the following (show full solution) d at (x arcsinx + √T=x²) = arcsinx

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Q: What is the partial fraction decomposition of the function O x+1 x² 1 2x -x-2 2(x²+4) 1 x² x+2…

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Q: 2. Find the derivative of the function & write your answer in simplified, fully factored form. y =…

A: We have,    y = x7-4x32x3+3x22

Q: Let f (x, y) = e(5x-6y). Find the equation for the tangent plane to the graph of f at the point (1,…

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Q: PROVE OR DISPROVE THE FOLLOWING 3 1²/2 8 d dx x + 8 sinxcosx + cos³xsinx) = cos x

A: We need to verify the given expression.

Q: Evaluate the integral. (Use C for the constant of integration.) [tan²(x) cos³(x) dx

A: let B=∫tan2xcos3xdx

Q: The Ninth Gate You arrive at the final gate, which leads into a building-like structure. You hope…

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Q: D D D D Which of the following shows the correct first step in proving the following by mathematical…

A: Note :- Since you have posted multiple questions, we will provide the solution only to the first…