Prove that In( +VI-X²³) = In ( ¹+ √1-x²) sech ¹(x) =

Q: Sketch a graph f(x) = 2 sin [-2(x+1)]-3 for two cycles. ✔✔✔ 5. List 3 key points below. >

A: Concept:  The sine function's general form: y=Asin(Bx-C)+D Where A represents the amplitude Period:…

Q: 3. Evaluate f sin(3x - 1) dx

A: we want to determine the integral  ∫ sin(3x-1) dx

Q: 5. Find parametric equations for the line through the points (1, 3, 0) and (2, 4, 4).

A: 5. Given that, the points are 1,3,0 and 2,4,4. Note that, the symmetric equation of the a straight…

Q: Sketch by symmetries and translations with find domain and range of the following curve: y = 2 +…

A: To sketch the curve.

Q: Y=t-2√√√x + X Find domin and ringe

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Q: 4. Evaluate √x² - 2x + 1dx

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Q: Let f a continuous function in [0,1], an integral equivalent to π/2 f (cos(x)) sen (x) dx 0 after…

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Q: Y=t-2√√x + X Find domin and ringe

A: In this question, we want to know the domain and range of the given function.

Q: Given `f(x)=1/(x-2)` and `g(x) = 4/(x-3)`, find the domain of `f(g(x))` Domain:

A: Given.

Q: A number x is selected at random from the interval [4,20]. The probability density function for x is…

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Q: Determine the area of the region bounded by the line y = 8x, y -axis and y=10. a. 25 sq. units b.…

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Q: A load W = 400 lb. is attached to the beam. The tension force, T., in the cable is given by: T=…

A: MATLAB code: % Defining the constants W = 500; % (in lb) L = 120; % (in inch) h = 50; % (in inch) 1…

Q: Solve for t, 0≤ t < 2π 18 sin(t) cos(t) = 12 sin(t) t = Give your answers accurate to at least two…

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Q: Use the following equation to answer the questions: y = 4 cos (1/₂) 4 Find the period Find the…

A: Explanation of the answer is as follows

Q: 3) Find equations for the lines: h the no e. The line through (1,1,1) parallel to the z-axis. f. The…

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Q: 1 50° || 5 1191 10% what is

A: Here we have to find the value a→·b→=?

Q: Evaluate x³ + €

A: On solving this we will get

Q: X Given that f'(x) x² +6 find F'(x) if F(x) = f(g(x)). F'(x) = = and g(x) = √3x – 4,

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Q: If G is an antiderivative of the function g, so the following integral is equal to what option? 1-26…

A: Given problem:-

Q: Find the equation of the line that is tangent to y = 2log3(x + 1) and is perpendicular to the line y…

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Q: volume Find the about the given a) sketch the graph 6) Find the limit and 6 OF c) Complete volution…

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Q: 2) Let u=5i-j+k, v=j-5k and w=-15i +3j-3k. Which vectors, if any, are: a. Perpendicular? b.…

A: To find out the vectors which are parallel and perpendicular.

Q: Use the graph to identify absolute maximum and absolute minimum values for the function on the given…

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Q: The initial point of a vector v in V₂ is the origin and the terminal point is in quadrant II. If v…

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Q: Let f and g continuous functions in R that satisfy at the same time all the following equalities :…

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Q: 2. Show that the function. 5x²³²Bin 12 F(x)= โ x2 0 (x=0) is not of bounded variation on [1,1].…

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Q: y = x4 - 8x² + 8

A: Here we have to sketch the function y=x4-8x2+8 ............................................ (1)…

Q: x TC Q2\ Find The Area under the curve Y= 4sine between X= and 2 X= π by the double integral method.…

A: Let's find area by using double integral method. Small mistake in given question, there should by…

Q: a. The line through the point P(3,-4,-1) parallel to the vector i+j+k. b. The line through P(1,2,-1)…

A: a) Here, the given vector is: v=i+j+k=&lt;1,1,1&gt; And, to find the line equation which passes…

Q: Find all values of m so that the function yemx is a solution of the given differential equation.…

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Q: When applying trigonometric substitution in the integral: x5 J S -dx √4x² J is equivalent to: O a) […

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Q: Let x e N, with n ≥ 2 and a > 0 when applying integration by parts J= 1 = [(ax)" · . e da to the…

A: To find out the correct option.

Q: 1. For the vectors v = and u = a. Find v-u b. Find ||v|| and ||u|| c. Find the angle between v and…

A: On solving this we will get

Q: m 1 Let x be a continuous random variable over [a,b] with probability density function f. Then the…

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Q: Effect of Luxury Tax on Consumption Government economists of a developing country determined that…

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Q: A car sharing service offers a membership plan with a $50 per month fee that includes 10 hours of…

A: It is givne that, A car-sharing service offers a membership plan with a $50 per month fee that…

Q: 4. Given vectors: ū=(4, 9), v = (-8, 15) and w=(2, 10) b) Write ū as a linear combination of and w.

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Q: 2) f(x) 3 F 2 8.x

A: Topic = Functions

Q: For the function f(x) = 2x³-5x² +11x +3, find f''(x). Then find f''(0) and f''(2). To find f''(x),…

A: The given function is f(x)=2x3-5x2+11x+3

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: Use Lagrange multipliers to find the absolute maximum and minimum values of the function z = f(x, y)…

A: Given

Q: A tank initially contains 200 liters of fresh water. Brine containing 2.5 N/liter of dissolved salt…

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Q: foxdx

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Q: X xy of fr [²2/1/ ex None of the choices. The value of a. b. 0.07 c. 0.08 d. 0.05 0.06 e. dy dx is…

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Q: Find the x-values of all points where the function has any relative extrema. Find the value(s) of…

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Q: Use Lagrange multipliers to find the absolute maximum and minimum values of the function z = f(x, y)…

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Q: How much would you need to deposit in an account now in order to have $3000 in the account in 5…

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Q: Prove that sech-¹(x) = In(¹+√¹-x²) X

A: Here we have to solve the inverse hyperbolic function.

Q: B5. Find the integrating factor by inspection then solve.  y(2xy + 1)dx - xdy = 0

A: find out the integrating factor by inspection and then solve the differential equation.

Q: Consider the following. f(x) = =x+4 (a) State the domain of the function. O all real numbers x O all…

A: We have to find asymptote