Q: Determine whether the infinite series convergent find the sum. n=1 is convergent or divergent. If it…
A: The given infinite series is ∑n=1∞34n-45n We have to find its convergent and sum of the series
Q: In this problem you will calculate the area between f(x) = 5x + 9 and the x-axis over the interval…
A:
Q: 4x + 1 4x² + 1 Find f'(x), and then evaluate ƒ' at x = 2. f(x) =
A: f(x)=4x+14x2+1
Q: 2. Find the domains of the functions f(x, y) = ln (x² − y) and g(x, y) = 14 y²-x²
A:
Q: Find the derivative, but do not simplify your answer. y' = y = (5x63x² + 2x² - 1)(4x² + 3x²5x² + 3x)…
A: Find the derivative of the given functions 1) y=(5x6-3x4+2x2-1)(4x9+3x7-5x2+3x)…
Q: The unit tangent I already found which was correct was (32 , 24t , 9t^2 )*1/41 I need the…
A: To find unit normal vector
Q: f(x)= 3x² 4 ln (x²)
A:
Q: Problem 8. (a) J (b) e sin (x) c+3) ln (x) dx 2 (c) * (In (In (x))² dx Calculate each of the…
A:
Q: [ t(2t2 + 2)-1/2dt (vx-2) dx . √x 6. [ V2x2 + 2 (4x)dx 4. 5. بیای
A:
Q: 23. 3y(x² − 1) dx + (x³ + 8y − 3x) dy = 0; when x = 0, y = 1. ANS. xy(x² − 3) = 4(1 — y²).
A: Given differntial eqution, 3yx2-1dx+x3+8y-3xdy=0 ...(1)
Q: 7. Given to the right is the graph of a function f(x). Arrange the quantities below in order, from…
A: The graph of the function fx is To evaluate: The arrangement of f'(1), f'(2), f'(3) and f'(4) from…
Q: Evaluate the function for f(x)=x+3 and g(x)=x²-2 (8-9)(0) (f-9)(0)5
A:
Q: 2. The path taken by a particle is a horizontal line as it moves according to the law s=1/1² - 1² =…
A: Given s = 16t4 - 76t3 - 7t2 + 12t + 1.
Q: ider the following. f(x) = 1 x+2 (a) State the domain of the function. all real numbers x all real…
A: Given query is to find characteristics of the function.
Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…
A:
Q: What is the slope of the graph? a) undefined b) positive c) negative d) 0
A:
Q: (a) Evaluate (5) ex 1+e2x dx
A:
Q: Find ||7e – 4f||, assuming that e and f are unit vectors such that ||e + f|| = √√. (Give an exact…
A: We have given that....... e=1, f=1 Since, e+f=32 , we have 32= (e+f).(e+f)…
Q: h (x) = x² lnx, at
A: Topic:- function and it's derivative
Q: Evaluate the integral. (Use C for the constant of inte 1² 4 tan4(x) sec5(x) dx
A:
Q: Let a = (1, 0, 5) and b = (2, 3, −1). Find a vector that has length |2a − b| and a direction…
A:
Q: lim ln x x-0
A:
Q: Use cross products to find the area of the triangle in the xy-plane defined by (1,2), (3, 4), and…
A:
Q: 2. The height of a golf ball after t seconds is given by s(t) = 24t - 4.9t² meters. (a) Find the…
A:
Q: D; E; Factor the expression. 3x²+11x-20 Rationalize the expression and simplify. √14 √5-2
A:
Q: A closed rectangular container with a square base is to have a volume of 1152 in³. The material for…
A:
Q: The surface area S of a sphere of radius r is given by S(r) = 4². Explain why, in the given context,…
A:
Q: (a) (a + b) x (a - b) = -2(a × b). a.c b.c
A: Since you have asked multiple question, we will solve the first question for you as per our guide…
Q: 5. For the constant numbers a and b, use the substitution = a cos² u + b sin² u, for 0 <u<, to show…
A:
Q: 31.10(m-5)²-9(m-5) -9
A: Since you have asked multiple question, we will solve the first question for you as per our guide…
Q: Evaluate the limit. (Use symbolic notation and fractions where needed.) lim [x (x-8)(x + 3)] = x115
A: The limit is given by limx→-5xx-8x+3 To evaluate: The value of the limit.
Q: Evaluate the expression when x=-6. x² + 7x+8
A:
Q: [² Find X dx. Hint: Choose a to be the geometric mean of xi-1 and x; (that is, x = Value of integral…
A:
Q: Evaluate f(x+5)³dx, with number of intervals n-4,
A:
Q: Solve the inexact differential equation ydx + (2xy-e-2y) dy = 0.
A:
Q: 3) h (x) = xcosx, at & 2
A:
Q: 4. Let In = f cos" xdx. Show that: In = 1 - Cos' n on-1 x sin x + n-¹ In-2, n ≥2. n
A:
Q: Find all values of x, 0 < x < 2π, for which the graph of f has a horizontal tangent (= all points at…
A:
Q: 19. |2xy cos (x²) − 2xy + 1] dx + [sin (x²) − x²] dy = 0. ANS. y[sin (x²) x²] = c - x.
A: 19. The given differential equation is 2xycosx2-2xy+1dx+sinx2-x2dy=0 We have to find the general…
Q: 8) Given two planes P₁:2x+4y+3z=4 and P₂:x-y-2z=-3 (a) Let L be the line of intersection of the two…
A: Given Planes :- P1: 2x+4y+3z=4 P2: x-y-2z=-3
Q: 15. f(t) = 1 + cosh 5t
A:
Q: Consider a function z = F(u(s, t), v(s, t)) where F, u, and v are differentiable and u(8, 6) = −1,…
A:
Q: A tank initially contains 100 liters of pure water. A brine solution con- taining 2 kilograms of…
A: We have to find the time at which concentration= 1/5 kg
Q: f f(x) I = 1 √3x + 1 f(3+h)-f(3) h find and simplify the quantity |
A:
Q: V -5 -4 -3 57. 4 3 2 01 -2 -1 -1 -2 -4 -5 1/2 3 4 5 MathBits.com X
A: Given data÷ Find the range of the function shown in the figure÷ Definition÷ Range ÷ It is the…
Q: 5. Change of variable 2 x dx 3x+1 a.
A: Given function, ∫12x3x+1dx
Q: Find the limit of f(x) = 7 -2+- X -0. as x approaches ∞o and as x approaches - lim f(x) = 7 7-- 2 X…
A:
Q: 3. Use grad h(-3,4)=5ī +3j and h(-3,4)=10 to answer the following questions. a) Find the…
A:
Q: Determine f-¹(x). ƒ¯¹(x) = = -x² + 16x What is the domain of ƒ-¹(x)? What is the range of ƒ−¹(x)?||…
A: P
Q: Calculate the scalar triple product u (v x w), where u = (1,5, 0), v = (-8, -9,9), and w= = (4,…
A:
Step by step
Solved in 2 steps with 2 images
- Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the quantity diverges, enter DIVERGES.) ∞ 2 e−1/x x2 dxDetermine whether the integral is convergent or divergent. If the integral is convergent, give the value. o e =dx X’Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the quantity diverges, enter DIVERGES.) The integral from 9 to infinity of e^(-1/x)/x^2 dx
- Evaluate the integral as a number, ∞, or −∞ or DNE if there is no limit. Also, determine if it converges or diverges. The integral (1)/(x0.4) dx [0,2]Determine whether the integral is convergent or divergent. If it is convergent, then evaluate its value. ∫ ∞ e 1/x(ln x)^3 dxEvaluate the integral as a number, ∞, or −∞ or DNE if there is no limit. Also, determine if it converges or diverges. The integral is (2x)/(x+1)2 dx [0, ∞]
- Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the quantity diverges, enter DIVERGES.) The integral of [1/(5-x)^1/3]dx, from 0 to 5.Determine whether the integral is convergent or divergent. The integral from 0 to 9, 7/(x-1)^1/3 dx If it is convergent, evaluate it. (If the quantity diverges, enter DIVERGES.Determine whether the following integral is convergent or divergent. Evaluate if it is convergent. ∫x^3e^(−x^4) dx ∞ upper −∞ lower
