Find the limit, if it exists. Ilm x² 3x - 4

Q: Find the second derivative of y= b. -x-32 a. -3/2 4/24 C. -5/2 C. thrown vertically upward. The

A:

Q: Find the volume of the solid generated when the region bounded by y = 5x and y= 15√√x is revolved…

A:

Q: 11 Let f(x) = 7x-6 +2 Find the open intervals on which f is concave up (down). Then determine the…

A: Solved below.

Q: Find the G.S. about xo = 0 for the following DE's (x²+4)y" + 2xy' - 12y = 0 1.

A: Please see the below pictures for detailed solution.

Q: 3 +3x² - 105x + 23. efinition of a derivative or the derivativ lefinition of a derivative or the…

A: In this question we will use basic concepts of calculus i.e concepts of derivatives. We will simply…

Q: Alden works in the city and lives in the suburbs with Nikka. Every afternoon, Alden gets on a train…

A: We need to determine the time Alden walks.

Q: Find an equation of the plane containing the point P (1, -7,1) and the line r (t ) = .

A: Given: The point P (1, -7,1) and the line r (t ) = <3 − 2t, 4t, 7> . So,             x = 3 −…

Q: with side length a from each corner and folding up the sides. Find a formula for the volume of the…

A:

Q: [sin¹ 3x cos² 3xdx

A:

Q: Let C be the boundary of the portion of the plane x+y+z=2 that lies in the first octant, oriented…

A:

Q: Show the complete solutions, draw or graph the given for illustration. Find the orthogonal…

A:

Q: Find the constants a and b such that the function is continuous on the entire real line. 7₁ ax+b,…

A:

Q: 34) If f is an even function that is continuous on [-1,3] and if f f(t)dt f₁f(t)dt = 8, then f…

A:

Q: A botanist is studying the development of a bamboo plant. She started keeping a log of its growth 25…

A: Total time= 25 weeks Given that the plant has grown an average of 35 inch each week.  So the plant…

Q: Find the directional derivative of w=2x²yz in the direction of v=3i-4j at the point (-1, 1.13)

A:

Q: 8. Evaluate each definite integral using the Fundamental Theorem of Calculus, Part 2. Ľ³…

A:

Q: If f(x) = 2ln(8 + x), f'(x) = f'(3) =

A:

Q: Determine whether the work done along the path C is positive, negative, or zero. c/

A: we know that Work W=∫C F→·dr→

Q: EXAMPLE 5 In an oil refinery, a storage tank contains 2000 gal of gasoline that ini- tially has 100…

A:

Q: Consider the region in the fourth quadrant between the circles x² + y² = 4 and x² + y² = 25 and…

A: answer is in next step. please give a like !!

Q: Let C be the boundary of the portion of the plane x+y+z=2 that lies in the first octant, oriented…

A:

Q: (x + 2y) dx + (2x + y) dy = 0. ANS. x² + 4xy + y² = c.

A:

Q: Question 4 L² (1-1²) ³ds

A:

Q: The function f(x) = 3 + 7x + 63x- -1 This function has a local maximum at x = with value and a local…

A:

Q: 2π 21/17 10 Th 7/1xsin nx dx 2π I need to solve the integration in a table or zero method, a…

A:

Q: Using Trigonometric Substitution a substitution of x = 6 sin(theta) was used to solve an integral.…

A: trignometric substitution

Q: The decay equation for a radioactive substance is known to be y = y₀e⁽⁻.⁰⁵⁴⁺), t in days. About how…

A:

Q: Evaluate the following indefinite integral: [sec ³0tan odo

A: The objective of the question is evaluate the indefinite integral.

Q: Two cars are moving towards an intersection. One car is 200 meters north of the intersection and…

A:

Q: Find the exact sum of the following series 및 ㅠ 23 O1 O v2 √3 2 ∞ 우 (-1)" (#)2n+1 32n 3 (2n+1)! n=0

A: Concept: For sin(x), the Maclaurin series expansion is given by:…

Q: the answer

A:

Q: If the sequence { 2 9 - An An - 3 converges to 6, then the sequence {an} converges to 9.

A:

Q: sin(x - y¹) 3+ 2x = sin(x

A:

Q: Consider the following differential equation: y" + y = sinx - 2e and the following boundary…

A: The given differential equation is y''+y=sin x-2ex

Q: Approximate the area under the curve y = x² from x = 1 to x = 3 using a Right Endpoint approximation…

A:

Q: 10) Let g(x) = f(t)dt, where y = f(t) is the function whose graph is given below. Find g(2), g(3),…

A:

Q: Use a Maclaurin series in this table to obtain the Maclaurin series for the given function. 4x -…

A: we use the maclaurin series of sin x to find the maclaurin series of the given function

Q: Show the complete solution. Kindly, include the necessary table of values. 6. If a thermometer is…

A:

Q: Solve the following initial value problems: A. y(0) = -3: y= B. y(0) - 6: y= dy dt 2t

A:

Q: There is no nonzero vector field F such that V F = 0 and Vx F = 0, simultaneously. O True False

A:

Q: (1 + y²) dx + (x²y + y) dy = 0.

A:

Q: 6) Assume that f(t) is continuous on [a, b] and that u = g(t) is continuously differentiable on [a,…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: 48. Using Properties Integrals Given 1 [*f(x) dx = 5, evaluate a. [ƒ(z) dz f(x) b. [1(x) dx - [1(a)…

A:

Q: Find max and min of function on the interval    f(x)=-x4-x3+5x2-4 on [-2,1]

A: The given function is; f(x)=-x4-x3+5x2-4 on [-2,1]

Q: H.w2: Use Runge-Kutta Method with (h= 0.1) to solve the eqaution y" + 3xy'-6y=0 with y (0) = 1,…

A:

Q: 3 (A) Find the average or mean slope of the function on this interval. Consider the function f(x) =…

A: A] 0 B] √5/√12 ,-√5/√12

Q: 64. The complete cardioid r = 2 - 2 sin 0

A:

Q: Which of the following functions are solutions of the differential equation y' - 5y = 0? O y = 2e5a…

A: The given differential equation can be solved by using variable - separable method.

Q: (c) Determine whether the series (2n)! Σ 7"-¹ (n!)² n=1 converges or diverges. (d) Show that series…

A:

Q: Evaluate the definite integral and choose the correct answer. dx 1+5x 0 1 O -In 11+ 5xl + C 5 1 1+5r…

A: