S dy ² + 4y+20) ²

Q: 3d8 √93

A: Here we have to solve only part d

Q: Find the maximum and minimum value of the function and the inflection point of the given curve…

A: Given :

Q: e coordinates of a point on a circle with radius 20 corresponding to an angle of 3 your answers to…

A: Topic:- trigonometry ratio in circle

Q: -Σ=o(x + 2;)2

A:

Q: So d e2x 0 e2-5 dx is equal to

A:

Q: Find the volume of the solid generated if the area bounded by y = = and the x-axis from I x=1 and…

A:

Q: Find the transition points. y = 3x - 3x² In(x) (Use symbolic notation and fractions where needed.…

A:

Q: An engineering firm recently estimated its total revenue function as TR = 300q - 6q2² and its total…

A:

Q: Find the tangent line to f(x) = ax³ at x = -1. Assume that a is a positive constant. ***

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Q: f(x) = 45x6

A:

Q: 2. Consider the function F, that assigns x in its domain to x² - 1 F(x): |x-1| In its domain. a.…

A:

Q: Find dy dx In y = e sinx O dy dx O dy dx O dy dx O dy dx = yey sin x =yey cos x = 4 1- ye cos x yey…

A: We can find the answer as below.

Q: A graphing calculator is recommended. (a) Find the vertical asymptotes of the function y = X = (b)…

A: Explanation of the answer is as follows

Q: ƒ(x) = x0.03 1 f(x) = X0.35

A:

Q: S (2y-3) dy 2y ³-y²-27y + 36

A:

Q: (x2+1) з xp x 0

A:

Q: x3 5x² Find the absolute maximum and absolute minimum of the function f(x) = + 4x + 2 over the…

A:

Q: Differentiate f(x) = (a-x)(a + x) with respect to x. Assume that a is a positive constant. f'(x) =

A: Solving the problem by finding the value of the differentiation.

Q: Find the derivative: y = ln (3x + 1) O y = O y = Oj = 2 y = = 2ln(3 + 1) (3x + 1) 6 (3x + 1) 3 (3æ +…

A:

Q: 3x+5 Find S dx (Using substitution method). √3x-7

A: This question can be solved using the concept of integration by substitution.

Q: Given: y = x - sin(2x) Find: dy dx 0 - cos²x 2 ○ - sin² x 01+ cos²x O sin²2 X

A:

Q: For the function whose graph is shown below, at which value of x is the graph continuous and…

A: We know  Function differentiable if it is continuous through out its domain   At sharp/corner points…

Q: x 5√x ³ + 4 dx 3 Lx5

A:

Q: Evaluate the integral. (Use C for the constant of integration.) x² - 16 dx +8

A:

Q: Use a linearization to approximate tan(π/100).

A:

Q: 1 Suppose that I is a location function of an object, given as L(t) = We will compute the 3t - 7…

A:

Q: 2x³ − 45x² + 300x + 6 has one The function f(x) = 2x³ local minimum and one local maximum. This…

A: Given: Axis interception points of 2x3-45x2+300x+6:  X Intercepts: -0.01994…, 0, Y Intercepts: 0,…

Q: Find the arclength of the curve y = 3x² + 5 on [0,3].

A:

Q: Activity Predece A A A B Find Draw of network analysis A B C₂D | F GEF

A:

Q: S arctan y dy y3

A: Let's evaluate given integral.

Q: [ (ax + b) c+b) dx = ○ / (ax + b) ² + C O O4a ¹ª (ax + b) ² + C O4a (ax + b)² + C O4 (ax + b) + C 7a

A: You must have basic idea about indefinite integral in order to understand this better.

Q: /Use the mid-ordinate rule with eight intervals, to evaluate √²3sin² (x), correct to 3 decimal…

A:

Q: Given the function g(x) = 6x³ + 27x² 72x, find the first derivative, g'(x). g'(x) = 0 when x = -4,…

A:

Q: What is the area bounded by the curves y=x2+5 and y=−x2, the line x=3, and the y axis.

A: Topic:- application of integration

Q: A graphing calculator is recommended. (a) Find the vertical asymptotes of the function y = x² + 2…

A:

Q: = If f(x) = f'(x) = ƒ'(5) = 4 tan x, then - sin(x)-4 sec² (x) Cos x

A:

Q: Given: y = = 4 cot (3 - 2x) Find: dy dx 0-8 csc² (32x) O csc² (3-2x) 08 csc² (3-2x) -4 csc² (3-2x)

A: Given y=4cot(3-2x)To find dydx:

Q: 2.) Find the acute angle between the given curves y² = 2x and 4x²+ 4y² +5y=0

A:

Q: tion f(x) given below, evaluate lim f(x) and lim f(x). X48 X118 f(x) = x + √√x² + 3 answer below:

A:

Q: f arctan y dy 3 ¥

A: Given problem:- ∫arctan(y)/y3 dy

Q: Write the equation of the circle centered at (1, 10) with radius 3.

A:

Q: 5.494949... = 5. 49494 100000 X

A:

Q: 2. The region is bounded by x = y² and x = 4-(y-2)² Using horizontal rectangles, set – up the…

A: We need to set up integral to find centroid.

Q: Given the equation y The amplitude is: The period is: The horizontal shift is: The midline is: y = =…

A:

Q: Find the volume of the solid generated if the area bounded by y = x² and y = x5 is rotated by the…

A:

Q: 3. Evaluate III. 62² dV where G is bounded by x + 2y + 4z = 8 in the first octant.

A:

Q: 3. Let R be the region below bounded by y² + x² = 9 and (y-2)2 + x = 1. (0,3) (a) Set up a (sum of)…

A:

Q: 8 The angle between 0 and 27 in radians that is coterminal with the angle -π in radians is 3

A: The answer is given below:

Q: Write the first five terms of the sequence, give the exact answer: too n n+7 n=1 Determine whether…

A:

Q: The midpoint of AB is at (0, 0). If A = (-5, 4), find B. B is: (

A: Given :A=-5, 4Mid Point of AB=0,0