The Gamma Function is defined by [(x) = fx-¹e-tdt, positive integer then prove that for na T(n) = (n − 1)! -

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Q: TRIANGLE METHOD: 600 NON and 8 =35 m 3 1. Given two vectors A = 70 m 60° N of E and B = 35 m 30° S…

A: I am attaching image so that you understand each and every step.

Q: Find the present value Po of the amount P = $300,000 due t = 6 years in the future and invested at…

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Q: In sketching y = None of the choices O y = 3 O y = 0 and y = 3 In (x-2)² ex2 no horizontal asymptote…

A: To determine the horizontal asymptote of the given function.

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Q: dy dx jeet yo

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Q: Use the Chain rule to find ().(). For the following functions: (1) u=xy-¹ where: x = e-2r cos-¹ and…

A: 1. According to question,Given Function,u = xy-1where,x = e-2r cos-1r   and   y = 2rcsc-12r

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A: We need to maximize the value.

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Q: 3. Evaluate the integral sin ede from 0 to pi/2. A. 2x/3 B. 3π/5 C. 3m/16 D. R/4

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Q: Q1: Fill in the blanks for the following statements (chose five only) 4n 1. lim n02n+1 ************…

A: See the answer below

Q: 2) Find all the second-order partial derivatives of the functions: a. f(x, y) = tan-¹ b. h(x, y) =…

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A: Given two similar cones with the given dimensions To find the ratio of the surface area of the…

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A: Given  f(x)=2π Apply differentiation

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A: Concept: The area between the region y=f(x) and =g(x) onthe interval a,b Let us assume that…

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A: To find out the equation of the parabola.

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Q: In 17 years, Oscar Oaks is to receive $200,000 under the terms of a trust established by his…

A: It is given that, The time period is n = 17 years,  Future Value (FV)= $200,000 rate of return r  =…

Q: For the equation, find ay evaluated at the given values. dx x² + y² = xy + 28 at x = 6, y = 2

A: The given equation:x2+y2=xy+28We need to find dydx at x=6, y=2.

Q: What is the approximate value of tan (3)? O-3.078 O 0.033 O 1.083 O2.468

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Q: 4. 4. f_x²dxdx (9-x²)

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Q: Find the area K of the triangle specified below. a = 19, b= 19, c = 19

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Q: What is the area of AABC given mzB = 83°, a = 25 feet, and c = 40 feet? O 561.46 feet² O 496.27…

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Q: a) (11-1) If A = 0 -2 3 001 , Show that A² = −4+27, where is the identity matrix.

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Q: Find the accumulated present value of a continuous stream of income at rate R(t) = $140,000, for…

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Q: Kiara invested her savings into a Registered Retirement Savings Plan (RRSP) at an interest rate of…

A: This question can be solved using the concept of compound interest.

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Q: Problem 2 The region bounded by y-y-o.x-1.x=2 a) Sketch the graph and solve the area b) Solve the…

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Q: Which is the domain and range of the parabola with the equation y = 0.5(x² - 8x - 6)? OD: (-∞0,00);…

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Q: 20. In "x" years from now, one investment plan will be generating profit at the rate of R₁ (x) = 50+…

A: Given: R1x=50+x2R2x=200+5x

Q: Which of the following is the center and radius of the circle? ²+²+4x-14y+46-0 O Center (2,-7);r=7 O…

A: equation is given is  x2 + y2 +4x -14y + 46 = 0 compare with circle equation  (x-a)2 + (y-b)2 = r2…

Q: A) Find the value of the following limits: x-²-2xy + y² (1) lim (x,y)-(2-3) √x - √y² (3) lim…

A: I am attaching image so that you understand each and every step.

Q: A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month…

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Q: A hyperbola centered at (7, 0) has a focus at (7, 5) and vertex at (7, 4). Which is the equation of…

A: A hyperbola centered at 7,0 has a focus at 7,5 and vertex at 7,4.

Q: A 14-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the…

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Q: solve the following diff. eque. of едис. 2 -2 O x ý76 Xý tay =

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Q: Find the differential equation of the family of circles with centers on the line x – 2y = 3 and…

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Q: y-values 9 8 7 3 2 1 If f(x) = f'(3) = = 1 g(x) h(x)' g(x) 2 3 x-values then 4 50 y-values 5 4 3 1…

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Q: 6. Determine the point of inflection on the curve defined by y=x³ + 5. Show that the tangent line at…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: TO=(OK

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Q: Question 8 The team installing the conveyor belts has a measuring tape in imperial units. Determine…

A: To convert the given length in feet.

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Q: Which of the following sequences represents an arithmetic sequence with a common difference d = -3?…

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Q: Find the L and W (with W≤L) of the rectangle with perimeter that has a maximum are and then find the…

A: The length of the rectangle =L  Width of the rectangle = W  The perimeter of the rectangle = 88

Q: 8. What is the area bounded by the curve y²=4x and x²=4y. A. 6 B. 7.333 C. 6.666 D. 5.333

A: Here we have to find the area bounded by the curves

Q: Find the values of the trigonometric functions of 8 from the information given. tan 0 = - 8 15 cos 0…

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Q: The fifth torm of a goomotric corios is 405 and the sixth torm is 1215 Calculate the sum of the…

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