Find the limit. Use I'Hospital's Rule where appropriate. If there is a more elementary method, consider using it. lim (1 - 8x) ¹/x X-0

Q: 948

A: Domain and Range of the given graph of a function.

Q: 44. YA 1 0 46. ि t 0 x X

A:

Q: Use the graph of h(x) shown below to evaluate lim h(x), if possible. If the limit does not exist,…

A:

Q: wo complex numbers are represented by c + di and e - fi , where c, d, e, and f are positive real…

A:

Q: Evaluate the limit analytically (without tables or graphs), using techniques that have been shown to…

A: Limits

Q: Let an (a) (3x-3)n 3n+3 (a) What is the ratio In this question we consider the interval of…

A:

Q: Given the graph of y=f(x) as shown below, sketch the graph of y = |f(x)].

A:

Q: Given the sequence an = 7n² +9 n4 +3 This sequence is Select an answer This sequence is [Select an…

A: Here we need to solve whether The sequence is bounded or unbounded.The sequence is monotonic or…

Q: Step 3: Divide both sides by Ax. Ay AX = f(x+Ax)-f(x) AX

A:

Q: Can you solve number 16 please? I am not getting the correct interval for the domain

A:

Q: R 360 N a) The supporting cables AB and AC are oriented so that the components of the 360-N force…

A: We have to determine angles and components of force along cables AB and AC.

Q: Draw the graph and answer the following: f(x)√(x₁ - 1EXCO or OLX ≤₁ X, X=0 Lo, x 1 a) at what points…

A:

Q: Round off the approximate number as indicated. 91053 significant digits

A: We need to Round off the approximate number as indicated. 91053 significant digits

Q: A cooling tower for a nuclear reactor is to be constructed in the shape of a hyperboloid of one…

A: A cooling tower for a nuclear reactor is to be constructed in the shape of a hyperboloid of one…

Q: 12. lim x18 x! 3x³ +2

A:

Q: Evaluate 8x³16x² +5 x² - 2x 2 S dx.

A: formula used

Q: Find the limit: √x-9 lim x 81 x 81 -

A:

Q: Solve the equation. √4y+5√y-1 =3

A:

Q: R(t) = ind the derivative R' (t) and norm of the derivative. R'(t) = = = est cos(t) i + est sin(t)…

A:

Q: lim √x-3 DNE X-3

A:

Q: Identify the open intervals on which the function is increasing or decreasing. (Enter your answers…

A:

Q: Let C be parametrized by x = 3 sin² t and y = 3 sint cost for 0 ≤ t ≤. Find the length L of C. L =

A:

Q: Find the gradient of the function at the given point. f(x, y) = 3x + 4y² + 2, (3, 1) Vf(3, 1) = = X

A:

Q: Consider the curve parametrized by x = t4 + 1 and y = tº + 4t5. a) Find dy dx da in terms of t.…

A: Given: To Find: (a) To find  in terms  of t.(b) To find  in terms of t.(c) To find the intervals of…

Q: Evaluate the limit analytically (without tables or graphs), using techniques that have been shown to…

A:

Q: 11. lim (In (3x+1)-In (2x² +1)) X-∞

A: To evaluate the following limit without using derivatives or L’Hospital rule.

Q: Determine all values of x, (if any), at which the graph of the function has a horizontal tangent.…

A:

Q: Consider the following parametric equations. a) Find 4 unique points on the parametric curve. Enter…

A:

Q: A population of 420 bacteria is introduced into a culture and grows in number according to the 6t…

A: P(t)=420(1+)Where t is in hours We have or findrate at which the population is growing when t= 5

Q: Prove that if A is a square matrix, then B = (A +AT) is a symmetric matrix. Here AT denotes the…

A:

Q: The graphs of x = 8, y = f(x) (solid) and y = g(x) (dashed) are shown; the graph is not drawn to…

A:

Q: A 500 gallon tank initially contains 200 gallons of water in which 100 pounds of salt have been…

A: We have to find the amount of salt in the tank at the moment when the tank overflows.

Q: If f(x) is continuous in the interval [-2, 1], f(−2) = −1, and f(1) = 2, can we use the Intermediate…

A: If f(x) is continuous in the interval [−2, 1], f(-2) = -1, and f(1) = 2, can we use the Intermediate…

Q: Consider the curve C parametrized by x = t and y = (36 - t2)1/2 for -6 ≤ t ≤ 6 Write an equation…

A:

Q: A company tracking its profits notices that the relationship between the number of items sold, x,…

A: Equation of line:

Q: 8. Part a. Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) ²-81 lim t-9…

A:

Q: Using the definition, calculate the derivative of the function. Then find the values of the…

A:

Q: Find the absolute extrema of the function on the closed interval. y = 5e* sin(x), [0, π] minimum…

A:

Q: E 1. Find the third-degree polynomial P such that two of the zeros are 4 and 1 + i and such that…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Evaluate the curvature of r(t) at the point t = 6. r(t) = (3- 7t, e³-18, 12t - t²) (Use symbolic…

A: The given curve is,Take derivative.Find its magnitude.

Q: Olim x→1 1 x+1 x 1 - 1|2

A: Explaination of the answer is as follows

Q: (4) Find the equation of the line that passes through the point (-3,-1) and is (a) parallel (b)…

A:

Q: Find y' by (a) applying the Product Rule and (b) multiplying the factors to produce a sum of simpler…

A:

Q: The principal part as x+oo of f(x) = 4x - ³√(x²+x²) is: x→ a) 4x-x6/5 c) 4x ②4x+B(x) d) -x675 how…

A: The principal part of f(x)?

Q: Find a parametric equation for the line that passes through the point P(-5,7,10), and is parallel to…

A: To find a parametric equation for the line passing through the point P(−5,7,10) and parallel to the…

Q: Find the distance from the point (0,0,−9) to the line x = t, y = - 3t, and z = t. The distance is…

A:

Q: Find the equation for the plane through Po(6,8,-5) perpendicular to the following line. x = 6-t, y =…

A: The given line is,Take derivativeSo the normal vector is,

Q: Suppose the profit from the sale of a items of a product is P(x)= = -x² +112x 1711. What two…

A: The Profit from the sales of x items of a product is

Q: 4x5 + 2x + 3 xxx7 + g(x) + 4x² - 2x (d) Evaluate lim using the fact that lim H18 (1 + ⁹ + − 3 ) = 1.

A:

Q: T 5. lim ex x →0

A: