Q2/Find the value of the integral ²: by using simpson method (n = 6)? dx 1+x²

Q: (CLO-1] The graphs of functions f and g are given below. अ y = f (x) 4 1 -2-4 -2 -3 4 Evaluate the…

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Q: Problem 2. Consider the equation z = x² + y² + 1 A. Find the equations for az- and yz-traces. B.…

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Q: 3x + 9 Consider the function f(x): For this function there are two important intervals: (-∞, A) and…

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Q: The doubling time of an investment with continuous compound interest is 12.5 years. If the…

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Q: Find the derivative of the function at Po in the direction of A. f(x,y,z) = 3 ex cos (yz),…

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Q: Assuming that z is a differentiable function of x and y, Let F(x,y,z) = ln(x²y) - e* -tan-¹ z. Find…

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Q: The function f(x) = 2x³ +4.98x² + 26.2416x +2.34 is increasing on the open interval ( It is…

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Q: Find an equation for the plane that is tangent to the surface z = In (x³ + y²) at the point…

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Q: Please don't post this question on google 10 Given the polar equation r = 5-2 sin 8 a. find the…

A: Note:- As per your reqiest i am solving part b) only. From given sub parts of it.

Q: Find the derivative of the function at Po in the direction of A. f(x,y,z) = 2 ex cos (yz),…

A: Topic:- application of derivatives

Q: 2 3s +9 Option 4 Option 2 Option 3 -3t e co 2 3 23 e 3 -St None of the choices 3 -3t 2 Option 1 e

A: Given :L-123s+9

Q: Find the slope of the curve whose parametric equation is given by y = t³ + t²+ 1/t and x = t⁴ + 3t²…

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Q: Find the extrema of each given function on a specified closed interval. 1.) g (x)= x³ - (3/2)x²,…

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Q: Calculate the derivative of y with respect to x. Express derivative in terms of x and y. e5xy = sin…

A: Given query is to find the derivative of the expression.

Q: etermine the derivative of f(x) = a. f'(x) = -x_ 7 cos x − tan² x− 1 (secx+7)² b. ƒ'(x) = − µ* _ 7…

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Q: [CLO-3] The second derivative f"(x) of a function is given. Use this information to find all values…

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Q: Given the rectangular coordinates (-6,2) determine (r,θ). What is r=______. (round to 1 decimal)

A: r is obtained.

Q: his question is designed to be answered without a calculator. se the three functions shown. 1. f(x)…

A: Topic:- function

Q: s 1 s(s+ 1)² -1 +et+2te-t Option 1 2+te-t Option 3 - 1 + e-t2te-t Option 2 -2+te+e-t Option 4

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Q: An airfighter plane is flying west at 5 feet per sec at an altitude of 4000 feet.  The plane is in…

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Q: In(x²y)- ez-tan"¹ z. Assuming that z is a differentiable function of x and y. Let F(x,y,z) Find F.…

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Q: 17. 1 2! 1.3 + (−1)″−¹. 4! 3! 1.3.5 1.3.5.7 n! 1.3.5 (2n − 1) ... +

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Q: (a) Find the general solution of the differential equation d²y dx² +9y = x² + x + 1.

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Q: Let g be a function such that g'(x) = x (x - 3). Complete the following arguments to get all…

A: Given, g'(x) = x(x-3) We have to find the extrema from the second derivative test.

Q: find the distance from the point P (2,1,1) to the lins x+1 y-1 Z-3 L: 6 -2 -3 = =

A: To find the distance from the point to the line.

Q: You are designing a container that is a right circular cylinder with a volume of 1000 cubic…

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Q: A hot air balloon rising vertically is tracked by an observer located 3 km from the lift-off point.…

A: topic - trigonometric ratios and application of derivatives

Q: f(x) = (x² − 9) -

A: Given :f(x)=x2-923

Q: [CLO-3] The second derivative f(x) of a function is given. Use this information to determine where…

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Q: 10.) Solve. Write the exact solution in terms of logarithms. el-3x = 4

A: This question can be solved using the concept of natural logarithm.

Q: Əw Given w = xysin(z²), x=s-t, y=s², z t². Find Əy əw ду = y sin z ² Option 1 O Option 3 aw = x sin…

A: Topic:- derivatives

Q: If A = 3ai +4j-k and B = 4i+j-3k, find the value of a if A normal to B.

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Q: Given the polar coordinates (1,7π/8) determine (x,y). What is x=______. (round to 3 decimal)

A: In this question, we need to find the rectangular coordinates (x, y) from the given polar…

Q: 6) (-2√2,2√2) 3 3√3 8) 2 10) (-2,-2√3)

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Q: Find the derivative of the function at P in the direction of A. f(x,y,z) = xy + yz +Zx, Po(-3,3,-2),…

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Q: 2. a) Write sin(3-1) in the form of a + bi. b) Find all the values of (3)-in

A: Concept: Simplifying expressions: Expressions are mathematical statements with at least two terms…

Q: Find the largest triangle that can be inscribed in the ellipse (x2/a2)+(y2/b2)=1 (assume the…

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Q: 3 =+1)

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Q: The general solution of y" + y = sec x tan x

A: Given problem:- The general solution of y" + y = sec x tan x

Q: Choose one(1) from the following question to be answer. The graph of each rule must reflect on your…

A: The Trapezoidal Rule: The Trapezoidal Rule divides the whole area into smaller trapezoids rather…

Q: none of the above Given R(t) = 4 costi +(1+3cost)j +5sintk. Find || K(t) || at t= O 2/5 1/5 O 2…

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Q: 3) Using the trafe boich unte, find the following integrats 2 Ⓒ S x lnx d x Aslo 1

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Q: Find the total area of the shaded regions. ← Ay 55- 50- 45- 40- 25 35- 30 30- .. 25 20 20- 15 15- 10…

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Q: This question is designed to be answered without a calculator. Let y = 2 sin (2x) and d'y =ky, where…

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Q: A capacitor has two parallel metal plates measuring 0.45 m² each. The distance between the plates is…

A: Given:-Area of plates=0.45 m2distance between plate, d=1 cm=10-2mthickness of permittivity ,…

Q: 3. Use the limit definition of the derivative to find the derivative of the function. a) f(x) = 2x²…

A: Given query is to find the derivative using definitely.

Q: 4.) Sketch the graph, not by plotting points, but by starting with a standard function and applying…

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Q: f) y = sin-¹ (x² - 1)

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Q: Compute the center of mass/ centroid of the region R = {(x, y): 1≤x≤3, 0≤ y ≤ x²

A: Here we have to find the centre of mass of a region.

Q: Solve the following differential equation on the interval (0, ∞) (in other words, dy y² = x² + y² dx…

A: Solution of given question is written in below steps.