Find the total area of the region enclosed between the curves: 10x² +24x and =-x³ +10x² 24x

Q: Determine whether the differential equation (2x² − 2xy + 3) dx + (7y² − x² + 2) dy = 0 is exact. If…

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Q: Solve for the power series about x=0 (x² + 5)y" - 2y = 0

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Q: 1. what is the basic concept of a derivative? How is this derivat calculated? What techniques/ have…

A: Topic:- calculus

Q: A wall lamp is positioned 7ft up a wall. A 6ft tall woman walks directly towards the light at a…

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Q: (c) S x+4 x²+5x-6 2 dx

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Q: e2-1 Evaluate: limx→0 2x²+x 01 O ∞ 00 O None of the choices 02

A: The given limit is: limx→0e2x-12x2+x   As we know that; The Chain Rule: fgx'=f'gx·g'x

Q: Evaluate lim x tan a x - x cos x

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Q: Example 4: Find the equation of the plane through the point (-4, 3, 1) that is perpendicular the…

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Q: Raggs, Ltd. a clothing firm, determines that in order to sell x suits, the price per suit must be p…

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Q: -Q3/As the function f(x,y) = at (-1,2) xy 1 + x² + y² is Continuous

A: Here we have to check the continuity of the function at the given point.

Q: The capacity of an elevator is either 20 children or 15 adults. If 9 children are currently in the…

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Q: The exact value of sec 2√3 3 0-2 2√√3 3 c (55) ₁ is 6 02

A: Use trigonometric coordinate syste

Q: I need a solution here. Help please c. Five people ,of whom three are women and two are men, are…

A: Given

Q: Q3) Determine the maximum point of the function f(x) = x(5-x) with Fibonacci search method, if the…

A: Here, we have fx=x5π-x. The number of experiments to be performed are n=4 and the first uncertainty…

Q: Differentials: Determine the differential of the following: 3x² - 6xy+3y²-2x+2y-1=0

A: Given: 3x2-6xy+3y2-2x+2y-1=0

Q: kample 8: Find the point where the line = 1 + t, y = 2t, and z = -3t intersects the plane - 4x+2y-4z…

A: Topic:- geometry

Q: Find the vector product (a*b) of the * two given vectors a= 2i+3j+4k, b=3i+5j, here i,j&k are unit…

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Q: Calculate √√3 8 2 1/√3 1 + x² dx

A: Given ∫13381+x2 dxTo evaluate the integral:

Q: point D at the fastest possible time. You can walk faster along the road compared to on sand. If…

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Q: Evaluate using Partial Fraction Decomposition: x² (x+1)²(x-1) -dx

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Q: Find the Maclaurin series for f(x) = ln(1+r) using the definition of a Maclaurin series. Also, find…

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Q: Question 9 Evaluate: lim 0 2x 222. None of the choices 1 2 0 -1 +x

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Q: f(x csc² 2x - x cos 2x)dx

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Q: Prove that sin²x x cos²x x= csc²x-cot²x 4csc²2x

A: This is a problem related to trigonometric identity. Based on the general formula and concept we…

Q: Raggs, Ltd. a clothing firm, determines that in order to sell x suits, the price per suit must be p…

A: "According to the guidelines issued by the company we are supposed to answer only first three…

Q: Select the correct answer to the following problems: a) f(x) f(x) dx ○ f(4) 00 ○ f(0) f(x-4) f(x)dr…

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Q: Calculate fa₁. (1 + tan² a) da

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Q: 3. _1ffx,y) = tan—1 (), then X c) (x2 +y2)2 is ܐܐܐ )b ܐ)?x +y(

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Q: What is f'(x) if ef(e) = 1 + x² ? O 2x 1+x² ○ 2x(1+x²) ○ 2x(e¹+x²) 1 1+x²

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Q: By using Chain Rule, find au/ax, au/ay, du/az at (x, y, z)=(√√3,2,1) U= P-q q-r p= x+y+z q=x-y+z,…

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Q: 00 01 O-1 02 y+0 none of the choices

A: We will solve the problem.

Q: Find the sum of the first 100 whole numbers?

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Q: Find the limit. Use l'Hospital's rule if appropriate. If there is a more elementary method, consider…

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Q: A small metal bar, whose initial temperature was 30° C, is dropped into a large container of boiling…

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Q: the argument of the Complex number: Z= ¹+√ √B-j

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Q: Find the Volume: Rotate the region bounded by y = 7 - x², x = -2 and x = 2 and the x-axis about the…

A: Volume of the solid of Revolution :  Suppose y=f(x) is a continuous non-negative function on the…

Q: Find two positive numbers that satisfy the given requirements. The sum of the first number cubed and…

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Q: Use the following information to answer the next question The angles below are the principal…

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Q: Q1 (a) Interchange the order and evaluate the integration a+c 2x fa* ft* xy² dydx 0 a-2 c-6

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Q: By using spherical coordinates, find the volume of the solid bounded below by cone z=√√x² + y² and…

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Q: 5- The tail of vectors a and b form two sides of a parallelogram. Vectors is 30 degrees, and the…

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Q: You want to travel from point A to point D at the fastest possible time. You can walk faster along…

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Q: Find the determinant of the following elementary matrix by inspection. 10 0 0 01 0 0 E = 00-70 00 01…

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Q: Let y = =tan(4x + 6). Find the differential dy when x = 5 and da Find the differential dy when x = 5…

A: A detailed solution is given below.

Q: Find the intervals on which the function is continuous. 4 y = (x+4)2+8 O a. (-∞, 24), (24, ∞) O b.…

A: Given query is to find the interval where function is continuous.

Q: I. Jas dx 25+ x²

A: Given, ∫125+x2dx

Q: During a fireworks display, a starburst rocket is shot upward with an initial velocity of 34.5 m/s…

A: According to the company policy we are supposed to answer only first three sub parts and rest of the…

Q: Calculate lim h→0 9 + h-3 h

A: Find the limit

Q: . Consider the following: a. Write an equation of a plane in Cartesian form that contains the point…

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Q: A Ferris wheel completes 7 revolutions in 14 minutes. The radius of the Ferris wheel is 30 feet.…

A: Given Radius of ferries wheel=30 feets  and wheel complete seven revolution in 14 minutes.