Find the area, A, of the region enclosed by the cardioid r = 8+ 8 cos 0. 96 л (B 52 A © 48 n (D) 100 n

Q: 3. Which of the following is always true for any real numbers x, y? For real e > 0, if x-yl se, then…

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Q: 12 f(x) dx = | f(x) dx = f(x) dx where a = Σ and b = Σ

A: Use additive property of integral to simplified the integral.

Q: dy 3. Find of the following equations: dx 7 x = sec 4xy + cos-

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Q: stead of f(x)). E

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Q: 33. f'(t) = sec t (sec t + tan t), -/2<t<T/2, f(T/4) = -1 %3D %3D 34. f'(x) = (x + 1)//x, f(1) = 5…

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Q: Given a function f(x, y) = 3 – 9 – x² –-(y+1)². Determine the three level curves for the function…

A: We can solve as follows

Q: Question Use the fourth Taylor polynomial for f(x) = cos (x) at x = T to estimate cos (1+7). Round…

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Q: ft? How fast is the balloon's radius increasing at the instant the radius is 2 ft? A spherical…

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Q: 3. 2. 1 15. The graph of f is shown in the figure above. If , f(x)dx=2.3 and F'(x)= f(x), then F(3)-…

A: ∫13f(x)dx=2.3 and F'(x)=f(x)

Q: Name:Y Varner 1. Find the antiderivative of the function |4x – 2x² + x – 5 dx Jar - 20* 2. Evaluate…

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Q: The integral Sr Si rdz dr do represents the volume of a solid. What is the solid? half a cylinder…

A: Cylindrical coordinates :       x = r cosθ , y = r sin(θ) , z=z where,    x2+y2 = r2   and θ =…

Q: 2. Use the Laplace transform to solve the initial value problem y" + 4y' + 5y = 2, y(0) = -2, y'(0)…

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Q: solve the question with complete and correct explanation within 15 mins or else downvote

A: Let's find.

Q: uation of motion in the form x(t) = Ae™it sin( V2 – 2?t + w), which ft

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Q: Find the definite integral using its geometric interpretation. Sketch the graph of the integrand. S"…

A: We have to find the value of the given integral.

Q: Question Consider the function f(x) below. Over what open interval(s) is the function increasing and…

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Q: घा 13) convergant or Divergant A) Each tem is less Ehan that of a converget Bach tem is less Anon…

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Q: 5- If Die is rolled find the probability that never appear 2 a) b): d) 3

A: A Die is rolled, the probablity that never appear 2

Q: The equation y? (y² – 4) = x² (x ² – 5) is known as the devil's curve. Give an equation for the…

A: Given  :

Q: 20. Explain Mathematical Ideas (1)(G) Explain why the radius of a regular polygon is greater than…

A: The radius of a regular polygon is the distance from the center to a vertex. The apothem is the…

Q: Find c 0 such that the area of the region enclosed by the parabolas y z? -c² and y= c² – a?is 200.

A: Solution: we are given curves and firstly, we find bounds and for finding bounds, we set them…

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A: Solution:  To find the position of the object at a point, we must find the position function, which…

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Q: 1. Consider the curve C with parametric equations Sx(t) = t3 – 3t +1 lu(t) = t(t +1) defined for t e…

A: Given information:  xt = t3-3t+1yt = tt+1               , where t∈ℝ.…

Q: Solve the following differential equations: 1.) y’ = x2 A. y = x3/ 3  B. y = x2/ 3  C. y = x ln 3 D.…

A: Integrating both sides.

Q: 639 * The degree of the polynomial graphed above is Select an answer v Select an answer

A: Degree is the largest exponent of variable.

Q: The graph of f is shown below. Evaluate each integral by interpreting it in terms of areas. 1,0 10…

A: Given query is to find the value of the integral.

Q: A A A A A A A A A A A A A A A A A A A A A 2!, 22 23 16. The sum of the series 1+ 1! 2n 二十… is n!…

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Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: To find the volume of the solid that results when the shaded region is revolved about the indicated…

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Q: Find all the derivatives of f, given f(x) = x8 – 5x7 + 4x6 – nx* + 3x³ + 11.

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Q: a)True b)False 2/ Answer the following: (A) Find the solution of this equation y=+y-6y = 0. roncform…

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Q: 3. Write an equation for each function graphed below (they are transformations of familiar…

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Q: In(3x) Find the function f(x), such that f'(x)= f(1)=1.

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Q: 1. Determine the type and stability of the critical points of the homogeneous systems: (b) 4 = x + y…

A: Solving

Q: 3. Find dy of the following equations: dx a. y = |(e-3x² + 7x² + In 8x

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Q: A radio transmission tower is 535 feet tall. A guy wire is to be attached 6 feet from the top and is…

A: Given problem:- A radio transmission tower is 535 feet tall. A guy wire is to be attached 6 feet…

Q: Determine the indefinite integral 4 7 6r -- 5 4

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Q: the mapping notation for this function 2. Given the function F(x) -4 *+2 al Determine the mappina…

A: we have  f(x)=4123x+3-2 the domain of the given function is (-∞,∞)and range of the given function is…

Q: Question 5 Find the volume of the solid that results when the region enclosed by the given curves is…

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Q: 1. Find an equation for the tangent line to the curve x= sin nt, y= t? - 3t at the point with t= 2…

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Q: III. Find the area of the regions bounded by the curves. Draw a figure showing the region. 8. y =x;…

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Q: The radius of a sphere was measured and found to be 7 cm with a possible error in measurement of at…

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Q: O In 17 lo 6

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Q: a) 2 B: .A card is drawn from a well shuffled pack of 52 cards. Find the probability of: (iv) a card…

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Q: B: .A card is drawn from a well shuffled pack of 52 cards. Find the probability of: (i) 2' of…

A: As per guidelines we can answer only three subparts questions at a time, if you need more answers…

Q: 6) The laft,rght, Trapezoidal, midpoint Rule approvimations were used to esbimate aecxlar where f is…

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Q: Answer the following using the chain rule (Complete solutions) 1. Differentiate f(x) 2.…

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Q: 1. The number of movies released each year in the United States can be estimated by the linear…

A: To solve the following problem

Q: 1. Determine the smallest positive root of f(x) = Sin x + Cos ( 1 + x*) - 1.. Use 5 iterations of…

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