Introduction to limits | Limits | Differential Calculus | Khan Academy - YouTube what is limit?  and where limits existed as you approached specific x-values however the x-value was not in the domain or had a y-value that was different than the limit.

Q: lim X18 2x³ - 3x x³+4x²

A:

Q: Find the derivative (a) y = x²e-¹/x dx for the following functions: (b) y = (sin 5x) Vecos 5x+1

A:

Q: For the given cost function C(x)=25600+200x+x^2 find: a) The cost at the production level 1550 b)…

A:

Q: Find the Maclaurin series for f(x) = What is the Maclaurin series of Σ n=0 16 1+x 16 1+x -? (Type an…

A: The given function is: fx=161+x  To find the Maclaurin series for f(x).

Q: Suppose F(t) has the derivative f(t) shown below, and F(0) = 4. Find values for F(1) and F(8) 3- 2 1…

A:

Q: Question 3 If 4x - 2x² <f(x) <x² - 2x + 3 for all real numbers except for x=1, then 0 (x x) fx (x x…

A:

Q: Consider the functions f(x) and g(x), for which f(0) = 4, g(0) = 7, f'(0) = -4, and g'(0) = −4. Find…

A:

Q: OHaganBooks.com also generates revenue through its o'Books e-book service. Author royalties and…

A:

Q: then compute f'(4). f(x) = x³ + 2x² x√x

A:

Q: Evaluate the integral dx 9x log 5x dx 9x log 5x

A:

Q: Find the derivative of the function using the definition of derivative. 4t t + 1 G'(t) = G(t) =…

A:

Q: Find the slope of the tangent line to the graph of the function at the given point. 4x² at (-2,-22)…

A:

Q: (A) (B) O (C) (D) (E) Compute the following limit (A) 4 (B) DNE (C) / (D) (E) 0 √√x - 2 lim x 4 x 4…

A:

Q: (a) J(X1, X2) X1X2 + 2X1 (b) g(x₁,x₂) = x1 + x2 sin 2x1 (c) h(x,y) = re* +2 tỷ (d) f(s, t) = (1+2s²…

A: We have to find the second derivative.

Q: (e) What are the co-ordinates of the relative maximum point? (  ,  ) (f) What are the co-ordinates…

A: (e) To find the co-ordinates of the relative maximum point. (f) To find the co-ordinates of the…

Q: 3. Determine an integrating factor, dependent only on y, that makes the following ODE exact. Hence…

A:

Q: Find the derivative of the function. h'(x) = h(x) = √ 1 -X 2 1-x² √1-x² sin-¹(x) X

A:

Q: Given r(t)=-6t³i-3t7j Provide your answer below: 3 k and f(t)= Vt, calculate [r (f(t))]. (f(0)). dt…

A: We can solve it as follows

Q: Does the series (1²) converge absolutely, converge conditionally, or diverge? 6 n=1

A:

Q: What is the solution of (x² + 2xy - 4y²)dx - (x² − 8xy – 4y²)dy =0 ? - - a. x² - 4y² = c(x-y) b. x²…

A:

Q: 3.) Find the arc length of the curve where 0 ≤ x ≤ 3 y = 1 . J|M + 4 x 3 داد at [013] defined by…

A: Length of curve of f( x ) from a to bL = ∫ab1 + ( dydx )2dx

Q: A force of 640 newtons stretches a spring 4 meters. A mass of 40 kilograms is attached to the end of…

A: FOrce act  upon the spring  F= 640 N The  distance stretch by the   force  x  =4 mby  spring  force…

Q: Let à = (-2, -5, -3) and 6 = (-3, 1, — 5). Find à x b. 000 Question Help: Video Calculator < Submit…

A:

Q: A particle moves along the x-axis and is defined as x(t) = f(y² - 8y-9) dy, where x(t) is measured…

A:

Q: 1. Find the arc length of the 3 1 - y = 2+ = x² from the point where 3 x = 0 to the point where x =…

A:

Q: Əw Əv 2 y Find when u = 0, v = 0 if w=x + + ₁ x= x=5u-5v+1, y = 6u + 6v - 6.

A: To find the indicated partial derivative

Q: Use substitution to find the Taylor series at x = 0 of the function 4 sin (-x).

A:

Q: time t. Find the particle's velocity and acceleration vecto

A:

Q: 23π Which angle measure is not coterminal with the angle 36 ?

A:

Q: The function f(x) = x³ + 7x² + 0x − 16 is graphed below. Plot a line segment = -6 and x connecting…

A: To find the values of c which satisfy the mean value theorem

Q: lim x→-1 2x + 2 | 1 + x| ||

A:

Q: Let 3xy = 7. When x = 2, y = Use implicit differentiation to find dat x = 2. dx At x = 2, dy dx

A:

Q: For the given functions, (a) express dw dw as a function of t, both by using the chain rule and by…

A: On solving this we will get

Q: M8 ∞ nx n+6 n=0 OA. The interval of convergence is (Type a compound inequality. Simplify your…

A:

Q: Use substitution to find the Taylor series at x = 0 of the function 3 sin (-x).

A:

Q: 4. (a) Write an equation of the tangent line to the graph of g(x) at x = 2 (b) Find the value(s) of…

A: Given g( x ) = x1 + x2

Q: Consider the following sequence: W-GI 6n {an} = 5n² √√√n=1 Use the ratio +00 an+1 to show that the…

A:

Q: How long will it take $5000 to grow to $7500 at a simple rate interest rate of 8% ?

A:

Q: Evaluate the integral dx S2x102x 2x log 2x dx 2x log 2x

A:

Q: Find the derivative of the function. h'(t) h(t) +5

A:

Q: = 1/ At a temperature of 20°C, the volume V (in liters) of 1.33 g of O₂ is related to its pressure p…

A:

Q: Let f(x) Tangent line: y = = x - 9 52+5 Find an equation for the tangent line to the graph of f at x…

A:

Q: Let exy = 5x + 3y + 15. Use implicit differentiation to find the derivative of y with respect to x.…

A:

Q: Evaluate the improper integral or show it diverges: 0 x-3 dx

A: To calculate the value of given improper integral.

Q: Consider the function f(x), for which f(0) = 4 and f'(0) = -11. Find h'(0) for the function h(x) h'…

A: The function fx satisfies f0=4 and f'0=-11. We have to find the value of h'0 for the function…

Q: Let f(x) = sin(x5). f'(x) = f'(2) = 0

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Number of Permutations of n objects taken r at a time without repetition, denoted „P, is P₁ = (n-1)!…

A: here we have two examples as follow

Q: 6. f+sin(In x³) dx 7. S 9. S 5x 4-5x+1 8. S 10.f dy ey sin(e-y) dx √x 7+x3 dx In ³ (cos 0) cote de u…

A:

Q: Question 3 Which of the following is an antiderivative of f(x) = cos (x²-5) ? sin (x5 – 5) A B © sin…

A: To find the antiderivative of the given function.

Q: hat's the derivative of y=15x cos x

A: Given: y=15x cos x To find its derivative