Sketch the region enclosed by the given curves. x = 3y2, x = 4 + 2y2 y y 12 10 8 6 6 8 10 12 2 1 2 y y 12 10 8 6 6 8 10 12 -1 1 2 Find its area.

Q: Find the area of the region between the curves y = x^3, y = -x, and y = 1. Round off to two decimal ...

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Q: Find a function y(x) such that 8yy' = x and y(8) = 5. y = ||

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Q: SDT. Let f(x) 2x3 – 39x2 + 252x + 71. Classify the critical point x = 7 of f(x) using the Second Der...

A: Find your answer below 

Q: Solve y' = 12xy 2х, у(0) — 15 -

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Q: 8. Analyze the differentiability of the following function: f(t) = Vx² – 2 State the restrictions in...

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Q: 3. Equation of the line that passes through the points (2, 3) and (4, 1).

A: Given points (2,3) and (4,1) We have to find equation  

Q: Use the properties of logarithms to evaluate each of the fol -17 (a) 3 Ine + Ine (b) log, 20 – log, ...

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Q: visitor is staying in a cottage that is 7 miles west of the closest point on a shoreline to an islan...

A: A visitor is staying in a cottage that is 7 miles west of the closest point on a shoreline to an isl...

Q: of a drug in a person's system t hours after the drug is administered, what is the peak concentratio...

A: topic- application of derivatives

Q: Starting with the graph of f(x) = 7", write the equation of the graph that results from (a) shifting...

A: Given f(x)=7x

Q: 2x+3 (1) Find the domain of the function H(x) = x' - 4x (2) Solve the following (i) |10–3x|517 (ii) ...

A: Topic = Functions

Q: Find the local maximum, minimum and saddle points of the function using the second derivative test: ...

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Q: Sketch the region enclosed by the given curves. y = 12 – x2, y = x² – 6 y 5

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Q: Use logarithmic differentiation to find the derivative of y with respect to the given independent va...

A: In this question we have to find the solution using logarithmic differentiation.

Q: check if it is homogeneous and to what degree (3x - cosy)dy t_x' dy =0

A: Find your answer below 

Q: Cavalieri's Principle states that if a family of parallel planes gives equal cross-sectional areas f...

A: We will use the  Cavalieri's principa to find the volume of the required surface.

Q: Consider the equation y' + 5y = 2. Show that the function o given by: %3D 2 $(x) is a solution, wher...

A: Given y'+5y=2 We have to find ∅x

Q: 2. Use the function h(x) = : a. Use a calculator to graph h(x). Make sure you have a window that is ...

A: This is a problem of curve tracing. By using online available calculator we will plot the graph as m...

Q: Find the function y = y(x) (for x > 0 ) which satisfies the separable differential equation dy 8 + 1...

A: Necessary formula:

Q: Solve the initial value problem: y' = – 0.05y + 20 y(0) = 40 y(t) =

A: We have to solve the given initial value problem.

Q: y=2 x=1+y e) (2y+5x) dx dy answer: 31 y=0 X=0 2x (2xy - 1)dy dx answer: 3 -1 y2

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Q: Use the functions f(x) = x + 3 and g(x) = 2x – 4 to find the function. 9-1 o f-1 (g-1 o f-1)(x) =

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Q: 2. Use the function h(x) = 2x2-6х %3D x2-9 a. Use a calculator to graph h(x). Make sure you have a w...

A: Given problem:- 2. Use the function h(x): = (2x²-6x)/(x2 -9)    a. Use a calculator to graph h(x). M...

Q: Consider the following function. g(v) = v3 - 75v + 7 Find the derivative of the function. g'(v) = Fi...

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Q: Q2: Define whether y represent as a function of x a) -5x? + y = 12 b) -2x + y? = 3

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Q: Consider the function S(6) = -2x† + interval, Express your answer as an ordered pair (x. f(x)). (Rou...

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Q: 3. The parametric equations r(t) = cos(t – t³),y(t) = sin(t – t°), t € R describe the position of a ...

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Q: Find the absolute extrema of the function, if they exist, over the indicated interval. Also indicate...

A: topic - application of derivatives

Q: Write the first five terms of the sequence: {Vn² + 2n – n}=1 +00 Determine whether the sequence conv...

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Q: Use the given value of k to complete the table for the inverse variation model Plot the points on a ...

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Q: The polynomial f(x) given below has -3 as a zero. f(x) = x³ – 7x² – x + 87 - Find the other zeros of...

A: As You have provided one zero then we write the cubic function as product of a quadratic function an...

Q: Logarithms. Use the laws of logarithms to expand and simplify the following expression in(2x*) 2x In...

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Q: Determine whether the series is convergent or divergent by expressing s, as a telescoping sum (as in...

A: Find your answer below 

Q: 13 A triangular lot bounded by 3 streets has a frontage of 300 feet on one street, 250 feet on the ...

A: We can solve by cosine law as follows

Q: Given: f(x) = 3x2 - 5x + 1, find f(2+h) - f(2) / h

A: The objective is to find f(2+h) - f(2) / h.

Q: Find the limit (if it exists) or select it does not exist. 10y2 (x.y)-(0,0) x + y lim O A. O B. Limi...

A: We can solve limit as follows  

Q: 1 If the given values in a right triangle are cos A = * and a = 2, find the hypotenuse c 3/2 2/2 D. ...

A: For the solution follow the next step.

Q: Find all solutions for the following equations on the interval -0 < x < ∞ 1. y = e3r + sin x

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: 32т + 4 Σ (8) Does the series converge or diverge? Justify your answer. TAn+1 n=1

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Q: Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the regi...

A: Answer: The solution is as given below;

Q: Use the formula for the binomial series: 1+ mr + m(m-1) 2 , 2! m(m–1)---(m–k+1). (1 + x)" = + %3D k!...

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Q: The distance (in km) of an airplane departing from Toronto Pearson Airport t seconds into flight is ...

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Q: Sketch the graph of f and use your sketch to find the absolute and local maximum and minimum values ...

A: Given function= 9-x The point at which the function takes the highest value is called its absolute m...

Q: Let f be the function defined above. What is (x) dx ? 2 (B) 3 5 1 (A) 등 (C) - (D) nonexistent 6. 6.

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Q: If a zero has an even multiplicity what happens at the X intercept?

A: Given query is to provide the information about multiplicity of zero and intercept.

Q: Find the distance between the following points wchich are represented in polar coordinates, P: (r, 0...

A: Given query is to find the distance between given points.