The loop of the following limacon is produced for which interval of the angle theta?

Q: 3x2+ 8x – 12 3. -dx. Use partial fractions. x3+7x2+ 12x

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Q: Using Integration By Parts, dx =uv- v du v-Svau Find 6 x2 e dx 1 dx x3 dx - °3 x? e* - хе dx

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Q: dx 3 sin e+C = Using Trigonometric Substitution 3 express the answer in terms of x. (x²+ x + 1)7

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Q: [ 2x4+3x2 - 1 dx as Rewrite integral of sum of partial fractions. (x3 – 4x² + 5x)?

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Q: Determine if the relation defines y as a one-to-one function of x. OThe relation does not define y…

A: topic - relation and functions

Q: Using Integration By Parts,x: x dx = u v– Jv du X sec Svou -tanx - Jsec Find Ex tan 5 2 1. X sec x…

A: The given Integral is: ∫x sec 12x tan 12xdx

Q: 4. x2(y + 1)dx + y² (x – 1)dy = 0

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Q: Find the points of inflection of the graph of the function. (If an answer does not exist, enter…

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Q: Consider the indefinite integral dr: a) This can be transformed into a basic integral by letting and…

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Q: A stone is dropped from the upper observation deck of a tower, 800 m above the ground. (Assume g =…

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

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Q: Consider . x2 +2x- 10 2 2 (2x + 4) +1 dx evaluate dx = x² (x² + 4x + 5) (2x+4) +1 dx - x² + 4x +5 -…

A: Topic = Integration

Q: | æ(5")dæ

A: topic - integration by parts

Q: 4) y =iy ¡y' -x1

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Q: x(z+ 2y)100 = yz – x; Zy and xz.

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Q: x³ + 6x² + x+2 s ax + In[cx + 1}*(x² – x + 1)°| + fx-1 Tan-1. V3 The resulting integral of x³ +1 +…

A: use simple integration formula.

Q: 2x³-x²+ x +2 D dx X +1 C Consider find A+B+C+D x4 + x3 4 O 2 O 3

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Q: 6. S(x)= In(tanh 5"

A: As per bartleby guidelines we only give first question answers.

Q: Evaluate the line integral, where Cis the given curve. (x + 6y) dx + x² dy y (6, 1) C (7, 0)

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Q: Evaluate the integral [cot5 x csc x dx O 1 1 늑csc? x-cscs x + 하sc3x + C 2 X + x + C 2 esc x + 1 csc?…

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Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable. (If an…

A: We find the local extrma using first derivative test by checking the nature of f'(x) at different…

Q: S sin(2x) dx

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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: Find the general solution of the differential equation. 121y(3) + 132y" + 36y' = 0

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Q: 3. Evaluate the lim(2x – 7). x-4 а. lim(2x — 7) %3D 2 x-4 b. lim(2x – 7) = 1 с. lim(2x - 7) %3D7 x-4…

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

Q: 5x (x² +a) dx is In +eTan-1X The resulting integral of + C, where a, b, d, and e are integers. What…

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Q: 1. Suppose the odometer on our car is broken and we want to estimate the distance driven over a 30…

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Q: 5 — 4г — 2? dx

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Q: Find the area of the region bounded by the curve y = 9 - x2 and the x-axis. Answer:

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Q: Evaluate the integral Jcots x csc³x dx -csc 1 7 x + 1 1 sc x + C csc csc x +csc? x + C X 1 2 1 7csc"…

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Q: 12. The slope of the curve y = x2 - e-* at its point of int A. -In 2 В. C. 2+In 4 D.

A: Given query is to find the the slope at inflection point.

Q: Solve the equation. Write the solution set with the exact solutions. Inx+ In (x-4) In (3x-10) %3D If…

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Q: Calculate R4 for f(x) = (x-1)^2 on interval [2.4]

A: the given function f(x)=x-12 on the interval 2,4

Q: dæ 2 (x² + 1)²

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Q: ind the area and the circumference of a circle with diameter 6 m. Ise the value 3.14 for a, and do…

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Q: 2x4 + 3x² – 1 (x² – 4x² +5x)? B(2x- 4) + C Rewrite dx as integral of sum of partial fraction D(2x-…

A: Here we have to apply partial fraction.

Q: x² sin 2x dx¸ Use integration by parts.

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Q: TRUE OR FALSE. The curve defined by the polar equation r = 2 + 3 sin θ is symmetric with respect to…

A: To determine whether the given statement is true or false.

Q: 2 (х + 2y)dx + (у - х)dy %3D 0

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Q: The radius r of a sphere is increasing at a rate of 2 inches per minute. (a) Find the rate of change…

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Q: Using Integration By Parts, Vx In 2x dx= uv- Jv du- Find u v- du- 3 x/x In 2x- Vx dx 2 O 2 xVx In…

A: The given integral is: ∫xln 2x dx

Q: Fird the area bounded by the curve: a) y=x° and y=2x43 a)Curve accurotely drown with important…

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Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

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Q: .4 V x2 + 4x - 5 Consider dx using Trigonometric Substitution find x- x+2 3 sec e -2 + sec 6 sec e…

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Q: A/Certain values of x and log1o x are (300, 2.4771), (304, 2.4829), (305, 2.4843) and (307, 2.4871),…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: f'(x) = cos x; y (G) = 3 %3D

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Q: Evaluate the integral 34 dr, by making the appropriate substitution: u = 5) da- 34 NOTE: Your answer…

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Q: Let r = xI + yj + zk and r= |r|. Find each of the following. (Give your answers in terms of r.) (a)…

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Q: The slope of the tangent line at any point (x, y) on a curve is 2 If the point (9, 3) is on the…

A: Given that the slope of the tangent line at any point (x,y) on a curve is 2x. So, dydx=2x=2(x12)

Q: x² –9 2. dx. Use trigonometric Substitution. .3

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