I) Given a triangle with interior angles a, 3,7, and opposite sides with lengths a, b, c respectively, solve for the indicated side or angle measure. 2 2) a = 1, b = √6-√2 2 7 = 135°, a = ?

Q: A. Two lines are parallel. Line A is with equation 6y=2x-18 and line B is with equation 3y-6-x. Draw…

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Q: Find an equation of a line that is tangent to the graph of f and parallel to the given line. Line…

A: Topic = Derivative

Q: 8. The following rational expressions are proper fractions except: x + 2x³-3x²+x-5 3x² - 4 C.…

A: A rational expression is said to be proper fraction when the degree of the numerator is less than…

Q: An = e²n/(n+2)

A: Topic:- sequence and series

Q: 1. Evaluate S¹₂ -5x³ + 4x + 1dx .

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Q: Differentiate F(x)= = [²7 7t² +4 +1 dt.

A: Given   F(x)=∫1x7t2t4+1dtTo Find: F'(x)

Q: The cross section of a precast concrete beam for a building is bounded by the graphs of the…

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Q: Let P(t) = 100(1.025)' be the estimated population of wolves in a provincial park and S(t) = 200 +…

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Q: Use the definition of the Laplace transform to find L{f(t)}. (Enter your answer in terms of s.) 0…

A: L{f(t)}=∫0∞f(t)e-stdt using above formula L{f(t)}=∫01te-stdt+∫1∞(2-t)e-stdt ........(1)

Q: 16. Solve dx (a²+x²)

A: NOTE: As per our guidelines, I have solved one problem. If you want the answers of rest, kindly post…

Q: Evaluate ľºm vy I 1-x² x² + y² dydx.

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Q: A (a) Show that W is a subspace of R³. (b) What is the dimension of W? _. Let u = " and let W be the…

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Q: Evaluate the definite integral. Use a graphing utility to verify your result. 6² × Step 1 x sin 2x…

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Q: allon x² + 10 x + y² + 10 y 94 - 0 THANA

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Q: An inverted pyramid is being filled with water at a constant rate of 60 cubic centimeters per…

A: To find out the rate at which the water level is rising when the water level is 6 cm.

Q: Find dx dt dx dt at x = = 2 if y= 2x² - 1 and dy dt - 3.

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Q: Consider the function f(x) and its derivatives:

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Q: 3. The rate of decay in the mass, M, of a radioactive substance is given by the differential…

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Q: Compute for the arcsinx dx . Which of the following is not an antiderivative of the function f(0) =…

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Q: Given the demand function q = 603-5p, determine the price where demand has unit elasticity. OA.…

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Q: Question Given f(x)=√x+8, find f'(-7) using the definition of a derivative. Provide your answer…

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Q: Two cars are moving towards an intersection. One car is 190 meters north of the intersection and…

A: The first car is moving south at 18 m/s. The second car is moving west at 12ms. If the intersection…

Q: Let f(x, y, z) = eª + zy² and let C be a straight line segment connecting the points (4,2,1) and…

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Q: Equilibrium Price: Cell Phones Worldwide annual sales of a certain product were approximately -14p +…

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Q: The altitude of a triangle is increasing at a rate of 1 centimeters/minute while the area of the…

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Q: Hello! Can I get help answering question #2. Please show all work as well. Thanks.

A: Topic:- definite integration

Q: f(2)-f(-1) 2-(-1) Let f(x)= |x|. Is there a value c in [1,2] such that f'(c)=- If yes, find such c.…

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Q: Find the following for the given equation. r(t) = (e-t, 7t², 9 tan(t)) (a) r(t) = (b) r"(t) = (c)…

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Q: The critical numbers z = 1 and x = -2 are found from a continuous function f' (z). Given that the…

A: The Solution is given below

Q: Find the principal unit normal vector to the curve at the specified value of the parameter. r(t) =…

A: Given that : r(t) = cos(3t) i + 2sin(3t) j + k and t= π. Find the principal normal unit vector to…

Q: Find the general solution of the given second-order differential equation. y" - 6y' +10y=0 y(x) =

A: Topic = DIFFERENTIAL EQUATION

Q: Integrate 01-In x + C о √(5-2) x – 10 ln |x| X - - - 1 10 In |x| 2 25 Olnx-25x + C ▬▬▬▬▬▬▬▬ X dx. +C…

A: Topic = Integration

Q: Find the domain of the vector-valued function. (Enter your answer using interval notation.) r(t) =…

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Q: What is the slope of the line 0 = ? (Use decimal notation. Give your answer to three decimal…

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Q: 17-22 Determine whether the series is convergent or divergent by expressing s, as a telescoping sum…

A: The objective of the question is determine the given series is convergent or divergent and find its…

Q: List the elements of the given set. the sets (A n B) U C and An (BU C), where A = {1, 2, 3, 4}, B =…

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Q: Find the following for the given equation. r(t) = (e-t, 3t², 2 tan(t)) (a) r(t) = (b) r(t) = (c)…

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Q: Find the differential dy of the given function. dy sec x x² +9

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Q: Compute the values of dy and Δy for the function y=e2x+6x given x=0 and Δx=dx=0.05. Round your…

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Q: 22. Solve [(cofßInsinB)dB 23. [x² sech²x³dx 24. Solve - csc²0 de √25-16cot²0

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Q: Find the fluid force on the vertical plate submerged in water, where the dimensions are given in…

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Q: Given f(x,y,z)=√(−6x+5y+2z), find fx(x,y,z) = fy(x,y,z) = fz(x,y,z)=

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Q: H.w3: Used Newton-Raphson method to find solution accurate to with in 10-5 for the following…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Evaluate ₁² 2¹-132²+¹ dx .

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Q: A system of equations is made up of an ellipse and a hyperbola. Part A: Create the equation of an…

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Q: For the sequence, determine if the divergence test applies and either state that lim n→∞ an does not…

A: Answer: The solution is as given below:

Q: Find dx dt dx dt at x 2 if y= = - 2x² - 1 and dy dt = - 3.

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Q: For the function f(x) = 21² + 1, it is given that 3 f(x) dx = 21. At what value C does the function…

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Q: Use the definition of the Laplace transform to find L{f(t)}. (Enter your answer in terms of s.) 0,…

A: To find: L{f(t)} by the use of Laplace transform. Given information: The function is  ft=0…

Q: Use the Laplace transform to solve the given initial-value problem. y" - 5y' = 8e4t - 4e-t, y(0) =…

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