Find the area A of the part of the circle r = 13 sin(0) + 13 cos(0) in the fourth quadrant. (Use symbolic notation and fractions where needed.) A =

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Q: Find the average rate of change of the function over the given interval. R(0) = 40 +1; [6,12] AR…

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Q: Question 4 When x°cos (x²)dx is evaluated using IBP, the value of J v du is? A B -cos (x2) cos (x2)…

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Q: Evaluate the definite integral. V4x + 3dx 0.

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Q: Find the point on the line y = 5x + 2 that is closest to the origin. (x, y) = Need Help? Read It…

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Q: AY Deternine the elative maxina and relative Minima, If any.

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Q: If you are going to evaluate the x²+16 using trigonometric substitution, the answer is =-csc*Ø + C,…

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Q: Given : S 6x³e**3 dx. Using integration by parts (S udv = uv – dv = 3g(x)dx find h(x) if ſ vdu =…

A: Let's find.

Q: 1. Evaluate the following limits. 2 - V2x + 10 a. lim 1-3 x2 + x – 6 4x – 7 1 lim с. -1- (3r2 – 2r…

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Q: Describe the graph of the equation. r = 7 cos ti – 18 sin t j+ k O An ellipse in the planex = 1,…

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Q: In how many ways can the digits in the number 8,400,000 be arranged? ways (Type a whole number.)

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Q: 22 - 12x dx x?(3x² – 10x – 8) partial fraction is to be employed. What is the most appropriate form…

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Q: Convert x = 19 to an equation in polar coordinates in terms of r and 0. (Use symbolic notation and…

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Q: Compute the given integral. dr 16x2 + 1 +C

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Q: (x²+y²)*/2 (x²–y2)2

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A: Given problem :- dx + (1-x2 )cot(y) dy = 0 Find the general solution of given differential equation

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Q: 9х2— 6 To evaluate dx using the method of partial fractions, the given integral can be rewritten as…

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Q: lim(8x + 16) = 24 Use the epsilon-delta definition of limit to prove that æ→1

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Q: 1 Calculate the difference quotient for f(x) at a = 4. V2x + 5 (Express numbers in exact form. Use…

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Q: CHOOSE ONE. Find the length of the curve x = 4- y (a) using the parametric equations r = 2 cos t and…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 1. Evaluate the following limits. 4x – 7 3x2 – 2r – 5 1 c. lim I-1- |I + ¤|

A: We put the limit .

Q: Find the derivative of the following function 8. y=(x+3)(2x² – 3x + 1)

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: The speed of a runner increased steadily during the first three seconds of a race. Her speed at…

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Q: Evaluate the integral 20 2) dr by making the substitution u 2. NOTE: Your answer should be in terms…

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Q: хdу — ydx — Vx? — у?dx 3D о

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: Give the parametric and symmetric equations of the line that passes through the point (4, -3, 5) and…

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Q: TRUE OR FALSE. Consider the parametric equations of a cycloid given below. Its length of arc is…

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Q: find the inverse laplace transform

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Q: Given: (1 + 2x)e*dx Using integration by parts and letting u = -1 - 2x, dv = f (x) dx then the value…

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Q: 3r + cos r Use Squeeze Theorem to evaluate lim V1+r² – 5x°

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Q: Below is the motion of a particle given by the following parametric equations as t varies in the…

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Q: 2x+11 1 Consider f dx = x2+x-6 x-2 x+3 then evaluate S(-dx xp(* - 3 x+3

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Q: What is the slope of the line 0 = (Use decimal notation. Give your answer to three decimal places.)…

A: Slope of a line θ=a is given by m= tan(θ)=tan(a)

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Q: What change of variables is suggested by an integral containing * Vx² – 4? O a cosø O none of the…

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Q: The polar equation r = a+a cos 8, where a > 0, has a tangent line at (0, 7)

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Q: 5xy = 4x²z – 3yz²; xz and xy.

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Q: 5. Use differentials to approximate the value of V(3.01)² + 2(0.99) – 3 in four decimal places.

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Q: Find the derivative of the function. f(x)= 10Vx- 6e*

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Q: f2x² Find uv- v du Using Integration By Parts, dx =uv- du UV- | S12 xe 6 x2 dx 3 x2 6x e dx 02

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Q: What will you factor out from the integrand of csc°(3x)dx so that you can transform it to its…

A: the given integral,         ∫csc6(3x)dx

Q: Use the method of Lagrange multipliers to find the dimensions of the rectangle of greatest area that…

A: Given problem:- Use the method of Lagrange multipliers to find the dimensions of the rectangle of…

Q: cos. Given: tan x |dx. Using trigonometric transformation , the integral in terms of u is m ( u ™ )…

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Q: Given the equation below, find dy/dx* 6x^3+2x^30 y+y^4= 9 dy/dx= Now, find the equation of the…

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Q: g(t) = 2t3 + 3t² – 12t %3D Find the intervals where g(t) is increasing and the intervals where g(t)…

A: Given: gt=2t3+3t2-12t   (a). To calculate the interval for increasing function, g't>0

Q: Evaluate the integral Scor? x dx cot2. O cot x - x + C О -cot x - х+ С O cot x + x + C o 1 cot? x +…

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