Find the area between the curves:  and  y= -x2+4x+2 and y=x2

Q: Find a second-degree polynomial P such that P(1) = 3, P'(1) = 2, and P"(1) = 4. P(x) =

A: Given problem:- Find a second-degree polynomial P such that P(1) = 3, P'(1) = 2, and P"(1) = 4.

Q: Consider the function f(x) = 3x³-36x on the interval [-3, 1] Find the absolute extrema for the…

A: We will find the solution

Q: The altitude of a triangle is increasing at a rate of 1.5 centimeters/minute while the area of the…

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: Complete the squares and locate all absolute maxima and minima, if any, by inspection. Then check…

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Q: Consider the following parametric equations, x=6t, y = 7t-10; 10 st≤ 10. Complete parts (a) through…

A: Here we have to solve the parametric equation.

Q: Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t > 0. Then…

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Q: Find the absolute extrema of the function on the closed interval. f(x)= 3x²+2, [1, 2] 0,2 minimum…

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Q: Verify the identity. (Simplify at each step.) Let 8 = sin X-2 tan(sin−¹(*²)) = √9+ (x - 2)² X-2 -¹…

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Q: Find the standard form of the equation of the ellipse with the given characteristics. Center: (1,…

A: This question can be solved using the concept of standard form of  equation of ellipse.

Q: If √√x + √y = 6 and y(9) = 9, find y' (9) by implicit differentiation.

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Q: Question Given f(x) = lim h→0 1 x +4' write a limit representing the derivative of f(x) at x = −3.…

A: To write the limit representing  the derivative of f(x) at x=-3.

Q: = " Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded…

A: By using cylindrical shells to find the volume of the solid obtained by rotating the region bounded…

Q: MTH 32 (13) Define the Inverse Tangent function (or the art and explain the --- MTH 32 (8) For b> 1,…

A: 8. As per Bartleby guidelines for more than one question asked only one is to be answered please…

Q: Find the exact value of the trigonometric expression given that sin u = - cos(u + v) Need Help? Read…

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Q: final

A: Please refer to the image below

Q: Find the standard form of the equation of the ellipse with the given characteristics and center at…

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Q: I) Evaluate the following expressions. 17 TT 9 1) sin-1 COS

A: Given, Sin^-¹(cos17π/9) Sin^-¹(sin( π/2 -17/9) π/2-17π/9 18π-34π/18 -16π/18 -8π/9

Q: Q11) T â

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Q: Question -1 Find an algebraic expression equal to cot (sin¯¹ (3x+3)). (You may assume that - <sin¹…

A: To find the value of given inverse trigonometric function.

Q: Question R is the region bounded above by the graph of f(x) = 2x and below by the x-axis over the…

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Q: 14. Find the double integral JV10-22-² dA by changing it to polar coordinates, where R is the region…

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Q: Find the Laplace transform of coshbt. Recall that coshbt = ebt + é 2 and sinhbt = ebt - é 2

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Q: Find the two x-intercepts of the function f and show that f'(x) = 0 at some point between the two…

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Q: Find the nth partial sum of the arithmetic sequence for the given value of n. 0,-9, -18, -27, ... n…

A: As we know that; The formula for the nth partial sum of arithmetic sequence is: Sn=na1+an2 Where; a1…

Q: The radius of a circle is increasing at a rate of 8 centimeters per minute. Find the rate of change…

A: We can find the required answer as below.

Q: Find the specified term of the geometric sequence. 8 27 (10 81 = a₁: a₂ = 8, a5 =

A: To find the first term a1 of the geometric series.a1:a2=8, a5=827

Q: 7. For r(t) = 4 cost i+ 4 sint j+k, find the principal unit normal vector N at t = 0.

A: Please see the below picture for detailed solution.

Q: Find the value of the derivative (if it exists) at the given extremum. (If an answer does not exist,…

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Q: nsider the parametric equations below. x=²-2, y=t+1, -3 ≤t≤ 3 (a) Sketch the curve by using the…

A: Please see the below picture for detailed solution.

Q: Find the derivative of the function y = Provide your answer below: y = 0 3x² √x-7 using logarithmic…

A: NOTE: Refresh your page if you can't see any equations. . take natural logarithm on both sides

Q: A plane flies at a speed 540 km/hr at a constant height of 10 km. How rapidly is the angle of…

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Q: re of the distance from the source. Iwo point light sources with strengths of S and 273 are…

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Q: Describe the domain of the function f(x, y) = ln(4 x - Y).

A: as per guideline i am answering one question .please give a like !

Q: Use logarithmic properties to expand the following logarithm as much as possible into a sum and/or…

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Q: State the coordinates of the intercepts, stationary points, and the inflection point of p(x) = (x +…

A: We need to choose correct option.

Q: Select the graph which satisfies all of the given conditions. Justify your answer in terms of…

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Q: 10. For V=2, fi , first find and and then, compute t+p%.

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Q: The height h (in feet) above ground of a seat on a Ferris wheel at time t (in seconds) is modeled by…

A: Solution h(t) =A sin(Bt - C) + D Given: h(t) = 51 + 49sinπ13t-π2

Q: Part 2 of 6 (b) Use the function to approximate the Canadian population on January 1, 2030. Round to…

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Q: Find the points of intersection of the graphs of the equations.  r = 5(1-sintheta) r =…

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Q: Find the second derivative of the function. f(x) = 9(5-2x)4 f"(x) = Submit Answer

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Q: There is no solution, {}. O The exact solution set is x2

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Q: Evaluate the following indefinite integral. $10 dx f10 dx=

A: We can solve this as follows:

Q: { h=1 (05/30) n+42

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Q: Find the vertical asymptote(s), if any, of the function below. If there are none, select "none" for…

A: We have to find the vertical asymptote.

Q: A 4-pound weight stretches a spring 2 feet. The weight is released from rest 20 Inches above the…

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Q: Find the exact length of the curve. y = 5 + 2x3/2, 0≤x≤1 2.2683 X

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Q: Describe the surface with equation The surface is a sphere with center { i x² + y² +2²³ + 10x + 6y +…

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Q: Evaluate the limit or explain why it does not exist t t- 2-0 √4+t-√4-t x³+1 lim X-1 X+1 Ix-21 lim…

A: Given that some limit problem and we solve this given problem by using general property of limit.…