2 x²√x²+9 dx

Q: 2. f sin √tdt

A: To evaluate the given integral.

Q: e. f. f(x) = cot(-) X f(x) = sin(x³ - x)

A:

Q: 2).  Suppose that  ∞ n = 0 an(x + 4)n  converges at  x = −5.  At which of the following points…

A: Given that, the series is ∑n=0∞anx+4n, the series converges at x=-5. Rewrite the∑n=0∞anx+4n as…

Q: An object moves with velocity as given in the graph below (in ft/se How far did the object travel…

A:

Q: (27 - ㅎ) (2급 + 글 이효리 17 U O 112-10 U 4u 4 u - 2 U 2 2

A: Topic:- application of vector algebra

Q: You find a rare comic book at a yard sale and determine that the price of the comic book, y,…

A:

Q: 6. If a = 2, b = 2√√3,7 = 30°, solve for c and 3.

A: We know that cosine rule is c=a2+b2-2abcosγGiven data a=2, b=23 and γ=30c=22+(23)2-2*2*23*cos(30)…

Q: The area of a rectangle is given by the function A(x) = 3x³ + 6x² + 4x + 8. If the length is defined…

A:

Q: 2nx 5x e e dx

A:

Q: The linear density of a rod 3m long at a point x meters from one end is ke-3x kilograms per meter.…

A: Solution is given below:

Q: Let = [1, -1, 1], [-2, -1, 3] and = [-1, 2, 2]. Find (u ×7)•w: O-14 07 O 10 Does not exist

A:

Q: `11,  Find a function  f(n)  that identifies the nth term  an  of the recursively defined sequence,…

A: The solution is given below

Q: If f(x) = 1 - log5 x, then f-¹(x) =

A: Given that f(x)=1-log5 x , then our aim is to find the value of f-1 (x)=?

Q: 4. Determine the maximum point of the the graph of y = 12 sin(π – 2x), for x = [-T, T).

A: Given:         y=1-2sinπ-2x     To get the maximum value of the function the derivative is equal…

Q: sketch the region of integration and evaluate the integral. Your sketch should be approximately the…

A:

Q: What are the coordinates of the y-intercept of the equation 5x - 3y = 2? (0, 2/5) (0, 5/3) (0,3/5)…

A:

Q: 6. If a = 2, b = 2√√3, y = 30°, solve for c and 3.

A: In a triangle, the given measures are a=2, b=23, γ=30°

Q: Find an equation of the plane that contains the line x = −2 + 3t , y = 4 + 2t , z = 3 −t and is…

A:

Q: =) 2 -1 -4dx 9x² +30x+25

A: To evaluate the integral.

Q: Find the breakeven point of the following functions: C(x)= 4x +4 R(x) = 6x Approximately (2, 12)…

A:

Q: 2 g(x)=√x - 8x

A: Find domain & range

Q: 3. S 4 dx x3-4x²+8x

A: The given integral is; 4/(x3-4x2+8x).

Q: the graph below has the equation Ax + By = C, which statement MUST be true? A > 0 C = 0 B 0

A: From the given graph we can notice that the line passes through origin.

Q: B Fig 1 1 y = (3x)3 A I. Find the co-ordinates of A and B X II. Find the area enclosed by the curves…

A: Please see the below picture for detailed solution.

Q: Find the equation of the sphere in standard form that satisfies the given conditions. diameter PQ,…

A:

Q: By using Green's Theorem, calculate the integral [x²y dx-xy² dy in polar coordinates, where is the…

A:

Q: Evaluate the following limit: lim 2²-25 x→2 2-5 O Does not exist. 0-7 07

A:

Q: Find the volume of the solid obtained by rotating the region A in the figure about x = −3. b y 0 A…

A:

Q: Given the function graphed below, evaluate the definite integrals. -1 4 3 2 1 1 -1 -2 -3 -4+ […

A:

Q: Evaluate [F·dr if F(x, y)=(4e³)ī +(4xe³)j and the curve C' is line segments going from (0,0) to…

A: To evaluate ∫C F⇀·dr⇀ if F⇀x, y=4eyi⇀+4xeyj⇀ and the curve C is line segments from 0, 0 to 5, 4 to…

Q: What is the inverse of the function f(x) = 3(x + 2)²-5, such that x < -2? OF-¹(x)=-2+. 3 5…

A:

Q: The y-coordinate of the vertex of a parabola that opens down is called the _____. maximum value…

A:

Q: Water is leaking out of an inverted conical tank at a rate of 14000 cubic centimeters per min at the…

A: Given that, the leakage rate is 14000 cubic centimeter, the height of the tank is 12 meters and…

Q: Find the general solution dy

A:

Q: Solve the area bounded by the curve y = 4x-x and the lines x=-2 and y = 4. 12) Sketch of the curves:…

A: The given problem is solved below in detail.

Q: Which of the following graphs represents (x-2)² + (y+4)² = 257 1. le - 4 - 7 . $ 4 2 2 2

A:

Q: plane. Use polar coordinates to find the volume of the solid below the paraboloid z = 18 - 2x² - 2y²…

A:

Q: and

A: We have to find the domain and range of the given function according to the given information

Q: Determine the appropriate rotation formulas to use so that the new equation does not contain any…

A:

Q: Evaluate the following limit: √x-2 lim- x+4 T²-16 01 32 Oº O O undefined 032

A:

Q: y (az + √2) sin (ay²) dy + (az − √√2) dz = 0 4√2 ln az + √2 = C 4√2 In az + √2 = C 4√2ln az + √2 = C…

A:

Q: Inflection points Local Extrema points с B

A: Given function is: y=xe-x

Q: 1 4. fv³ (a²-v²) dv

A: Given problem:- ∫v3a2-v212dv

Q: Given f''(x) = 3x + 3 and f'(-3) = 1 and f(-3) = 6. Find f'(x) = and find f(4) =

A: We want to find f'(x) and f(x) values first.

Q: f(x) = ³√x, a=27

A:

Q: Identify the equation without applying a rotation of axes. 2 10x² -8xy + y² +9x+3y-6=0

A: Given, 10x2-8xy+y2+9x+3y-6=0

Q: Determine if the series  ∞ (−1)n − 1e8/n n = 1  converges by the Alternating Series Test. If the…

A: We have to test to determine if the series converges or diverges.

Q: I. Find the solution set of the following. 2. 3x²+2x³7x² - 4x +2=0

A:

Q: The area of the region bounded by the curves f(x)=x²+1 and g(x)=2x+1 is best described by: a. ² [(2x…

A:

Q: Differentiate y = (2x³ + 3x² - 1)5 5(6x² +6x)4 30x(x+1)(2x³ + 3x² - 1)4 30x(x + 1)(2x³ + 3x²-1) O…

A: The given function y=2x3+3x2-15 we have to find the derivative of the function