HOMEWORK 16: Graph the following equations. 6. r = sin + 2cos² 0 7. r² = sin 20 - 3cos

Q: Given: c= 8, a = 5, C = 67° C b A B C Solve the triangle. (Do not round until the final answer.…

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Q: 6. Evaluate the volume generated by revolving the area bounded by the given curves using the washer…

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Q: Evaluate the integral. S (x² + 8)e-x dx

A: We need to evaluate integral.

Q: 9. Find the area of the surface generated when the given arc is revolved about the x-axis: 4x² +…

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Q: Enclosed by x² + 4y² = 16

A: We have to find area bounded by given curves.

Q: 4. For the below ordinary differential equation, state the order and determine if the equation is…

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Q: 2. For the below ordinary differential equation, state the order and determine if the equation is…

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Q: Question 14 A 60-m climbing rope is hanging over the side of a tall cliff. How much work is…

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Q: For the function f(x) = -5x, find the difference quotient f(a+h)-f(a) = h f(a+h)-f(a) h

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Q: 18. Find the partial sum. Σ128(4) n=1

A: Given problem:-

Q: ч 4х+5 чу+3 ІІ хр бр -

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Q: y = 2 sin 3x 1+3 cos2x

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Q: how would I find the domain of the vector function r(t)=cos(t)i+ln(t)j+1/(t-4)k?

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Q: 8. NE x²+x² tan² (4x³) tan² (47x³) 2] dx

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Q: 9. Evaluate 18x dV where E' is the region behind the surface y = 4 - 2² that is in front of the…

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Q: Let f(x, y) = x³ + y³ - 2x²y². Calculate fa, fy, fax, fyy and fry. Hence show that (3/4, 3/4) is a…

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Q: 9. Find the indicated limit. lim (6x - 21)³ x-4 = Show any work necessary

A: Solution: As per given data   lim( x tens to 4){ (6x - 21)³} As per simple rule of limit go ahead…

Q: 37. If antiderivative of m+p is equal to - 8 X³ √₁+2x² (B) 5 which passes through (1, 2) is…

A: We need to choose correct option.

Q: [10x3, x<-2 5-x, x ≥ −2 Let f(x) 1. f(-2)= 2. lim f(x) = x→-2+ 3. lim f(x): = 2-2 =

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Q: 1. Let f(x) be the cubic function graphed below and g(x) be the quadratic function graphed below.…

A: From the given graph of the region, we have to find its area

Q: f(x) = 6x 12 cos(x), -2≤x≤

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Q: Determine the volume generated of the area bounded by y = √x and y = = x rotated around the y-axis.…

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Q: Given: ·S- takes the form 20 A 3 8x+1 dx. If we let the substitution =√√4x-5, the final answer 4x-3…

A: Integration

Q: A 60-m climbing rope is hanging over the side of a tall cliff. How much work is performed in pulling…

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Q: Find the vector equation of the line between the points (3, -1, 2) & (1, 4, -1), then graph the…

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Q: Solve: y(x) dy dx = = (8x² - 7x + 6) (y-7), where y(0) = 11.

A: We will solve the given differetial equation by variable separation method.

Q: Find the area of the surface generated by revolving the arc 9y = x³ the x-axis. O 9/35 O 147/5…

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Q: Ex: Expand fit) = +² o<t <2π in a Fourier Series expansion : Sol: 2 L = 2 T /// L = π -411 -27 2 tr…

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

Q: What integration technique can be used to integrate: Integration Formulas Trigonometric Substitution…

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Q: H.W : Prave the orthogonality. Conditions for the Sine and casine functions....

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Q: a) x² x² + y² - 2² +22=1 ɔ) x² − y² + 2y + z² = 2 =) x² 4x − y² — z² = −3 d) x² - 4x − y² — z² = −4…

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Q: Compute Δy/ Δx for the interval [2,4] where y = 5x−7.

A: ∆y∆x for function y=f(x) for the interval [a,b] = f(b)-f(a)b-a

Q: 15. dx 16x* - 1

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Q: Use the theorems to evaluate the limit. lim x³ x → 2

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Q: 1 Determine the volume generated of the area bounded by y=√√√x and y=- 2 A 154/15 B 112π/15 C 128/15…

A: Given; curves y=√x , y=x/2 rotated about x=5

Q: Question 4 A conical water tank has its top at ground level (consider this to be the x-axis) and its…

A: The given problem is solved below in detail.

Q: 57. If f(x) = (A) (0,00) fen²x + (n (ex) (n² (ex) dx; f(1) = 0 and g(x) = 1 -f(x). Then the domain…

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Q: Solve the following homogenous linear differential equation: (D^6+6D^4+9D^2)y=0

A: To solve the given differential equation

Q: Solve the initial value differential equation with initial values y(0)=2 and y'(0)=6 y" - 3y + 2y =…

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Q: √√9-y² 9 = L Q (2x2) dz dy dx Зг 2. Give the (upper, lower, lateral) boundaries of the solid S of…

A: simple integration are ...

Q: 31 In how many ways can 9 math students be seated at a round table? 81 40,320 80,640

A: In how many ways can 9 math students be seated at a round table?

Q: A tank contains 400 liters of fresh water. Brine containing 0.3 kg/L of salt runs into the tank at…

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Q: Find the convergence set for the power series, kak O a. (-7,7) O b. {0} O c. [-7,7) O d.\mathbb {R}

A: The given series is kxk/7k.

Q: Find the area bounded by the parabola x=8+2y-y², the y-axis, y=-1, and y=3 A) 92/3 s.u. B) 92/4 s.u.…

A: A detailed solution is given below.

Q: 10. 2z + 3 2+2 11. 2z - i iz + 2

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Q: 2. fizə] ycos (xy)] dx + [2xe2y - xcos (xy) + 2y] dy = 0

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Problem 2: Use the definition of the Laplace transform to find the transform of the piecewise…

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Q: A tank contains 400 liters of fresh water. Brine containing 0.3 kg/L of salt runs into the tank at…

A: We need to find concentration.

Q: Express the polar coordinates (2.) as Cartesian coordinates. (√3,1) (-√3,-1) (√3,-1)

A: Topic = Geometry

Q: 4 + 5x² 4x + x³ dx

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