The Pythagorean Theorem is often used when trying to show a triangle is a right triangle. O True False

Q: Find the value of cot 8 for the triangle shown below. √√7 8 1 O √7 O √2 √7 7

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Q: Let xy - x³ + 15y - 35 = 0. Compute dy. dx dy dx ||

A: given

Q: What is the integral of f(x) within the interval [2, 4]? 3 2+ 1 1 2 w. Area = 6 3 Area = 4 Area = 3…

A: The interval is . We have to find integral of f(x).

Q: Evaluate the definite integrals using the graph of f(z) below. (a) ³1 (2) dz = (b) [₁²1 (2) dz = (c)…

A: Graph is given

Q: Find the position vector for a particle with acceleration, initial velocity, and initial position…

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Q: 86°F Sunny If cot 8= and csc 8>0, find csc 8. √13 O √13 O 2 2 O 13 3 Searc

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Q: ƒ(x) = x + 3 x²+1 x if x 1

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Q: Over time, the output values of damped functions decrease. True False

A: To find the relation of output value of damped function with respect to time.

Q: √3 2 8 1

A: Here given that a right angled triangle and we find sec(theta).

Q: Find the general solution of the given higher-order differential equation. d4y 2d²y dx4 dx² - 8y = 0

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Q: 10,000e |x| 2 xy-plane, where x and y are measured in centimeters, find the total population of…

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Q: ent in the problem. TO cise 1 gy=√x+6 - √x with x, x+8 > 0. merical cancellation when || << x can be…

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Q: A landscape architect wished to enclose a rectangular garden on one side by a brick wall costing…

A:

Q: 1. Limits. The limit below does not exist. Prove this by finding two approach paths giving different…

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Q: 1/4 +2)/ / dr (x+2)V x2 + 4x +3 (g')

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Q: Find the average value of the function on the given interval. (Round your answer to two decimal…

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Q: Graph f(8)= -3cot(8+3)-1 where ≤ 0≤n. Use t

A: ,

Q: The demand function for a certain brand of compact discs is given by p=-3x²2x + 66 where p is the…

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Q: Solve for the specified value of the following right triangle. Round your answer to the nearest…

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Q: Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral.…

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Q: Find the volume of the tetrahedron in the first octant bounded by the coordinate planes and the…

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Q: A Norman window is made up of a semi-circle and a rectangle. The total perimeter of the window is 16…

A: A Norman window is made up of a semi-circle and a rectangle. The total perimeter of the window is 16…

Q: Differentiate the function. y = √x(x - 8) y' =

A: Differential Formula Given Function

Q: Express the repeating decimal as the ratio of two integers. 1.27123=1.27123123123... The ratio of…

A: Given:We are required to:

Q: A homogeneous second-order linear differential equation, two functions y, and y₂, and a pair of…

A: Firstly, we can check whether the given y1 and y2 are the solutions or not and then find the…

Q: Use the matrices below to perform the indicated operation if possible. If the operation is…

A: The given matrices, and .We have to find the matrix operation .

Q: 11. Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS where P(-2, 1,0), Q(2,…

A: We have,Parallelepiped with adjacent edges PQ, PR, and PS where P(-2, 1, 0), Q(2, 3, 2), R(1,4,-1),…

Q: Approximate the area under the graph of f(x) = 0.03x4 -2.56x² +94 over the interval [5,9] by…

A: Given that    f(x) = 0.03x4 - 2.56x2 + 94 Here we have to find the area under the graph of f(x) over…

Q: The expression sececotesine simplifies to 1. A True False

A:

Q: -4 -2 y <2x+1 4 2 -2 y 2 4 X Which ordered pairs make both inequalities true? Check all that apply.…

A: To tell which of the given ordered pairs make the inequalities true.

Q: Calculate: 25°2714" +41.2593 grad +0.15442 rad (answer in grads) a. 69.544393 gr O b. 89.202764 gr…

A:

Q: Which Riemann sum represents the illustration shown? 20 16 12+ 8 4 1 2 3 © 1 Σ ! i=0 3 - ; 4 o 1 2…

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Q: Let 4x5 + y4 + 5y = 10. Compute ㅛ. dx dy dx =

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Q: Determine the corresponding ordered pair of the point on the unit circle for the following angle:…

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Q: Use a triple integral to find the volume of the wedge bounded by the parabolic cylinder y=x² and the…

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Q: When an irregular-shaped rock is placed in a cylindrical vessel of water whose radius is 4.5 inches,…

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Q: Consider the function f(x) = (7x + 8)1/3. Enter the number of critical points/numbers of f(x).…

A: Note:a critical point is a point in the domain of the function where the function is either not…

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

A: antiderivative of f(x) is treated as the Integration of f(x).

Q: If u x = [1, -3,5], thenx =

A:

Q: A person stands on top of a 300 ft building and spots a person on the ground below. The angle of…

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Q: How long should a wheel chair ramp be if the angle of incline is to be 33° and the vertical end of…

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Q: 8 For each of the following, determine which parallel and which are perpendicular. ave a) x = 1-3t,…

A: Condition for parallel and perpendicular

Q: Consider the differential equation 4 y" - 2y'+37y= 0; ex cos(6x), e* sin(6x), (-00, 00). Verify that…

A: To verify that the given function forms the set of solutions for the differential equation.

Q: Assume the given point is on the terminal side of an angle in standard position. The value of tan8…

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Q: If A = 1 01 O O correct answer is A = then what is A¹ [ -1 O -1 1 H 0

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Q: Assume the given point is on the terminal side of an angle in standard position. The value of tan 8…

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Q: Consider the function f(x)= 3x5 250x³ + 11x - 50. Enter the number of inflection points of f(x).

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Q: nd the volume of the region cut from the solid elliptical cylinder x + 16y≤ 16 by the xy-plane and…

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Q: In a 90°-30°-60° triangle, the shortest leg is half of the hypotenuse. O True False

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Q: Find the area of the region cut from the third quadrant by the cardioid r= 1 + sin 0. The area is…

A: