Use L'Hôpital's Rule (possibly more than once) to evaluate the following limit lim(10 sin(11t) In(11t)) = If the answer equals o or -0o, write INF or -INF in the blank.

Q: Solve the equation 6cos?x + 11cos x = -4 given that 0 < x < 2n. Provide your answer below: X =

A: First I have made factor of given trigonometrical equation and then seperetly solved them and find…

Q: 4. Substitution Suggested by the Equation: (x+2y-1)dx+(x+2y)dy = 0

A:

Q: Write an equation of the form y=a sin bx or y=a cos bx to describe the graph below. 3 2. 4 4 2. 4

A: Write an equation of the form y=a sin bx or y=a cos bx to describe the graph below.

Q: i sin(In(-32)) = cos(In(-32²). True or False: dx True O False

A: Topic = Derivative FALSE

Q: Consider the following. u = (4, 7, -7), v = (-9, 3, -4) (a) Find the projection of u onto v. (b)…

A: Projection of u onto v is given by projvu=v·uv2vAnd the vector component of u orthogonal to v is…

Q: Find the vertical and horizontal asymptotes. (b) Find the intervals of increase or decrease. (c)…

A:

Q: Find the most general antiderivative of the function. antiderivative.) g(u) = 6u + Vū

A:

Q: (2×+5)2xー5 2x -5 3.

A:

Q: Include the following information • Domain, ? and ? intercepts• Intervals of increase/decrease•…

A:

Q: dx 3. S7 ex – 49 4. fx² Cot-(x) dx

A:

Q: 2 dt t² +2t +3 18. Evaluate 8 dz z² +8z+ 25 20. Evaluate o

A:

Q: The following differential equation is considered. (y cos x+e*)dx +(sin x+ y² )dy = 0 (a) Determine…

A:

Q: Identify and sketch the graph of the following equations in R. (a) a2 + 2y? + z2 – 8x + 12y – 2z +…

A:

Q: Find the derivative of the following functions and simply it whenever possible. 3. y =…

A: This is a problem related to derivative of the function. Based on the general formula of the…

Q: 3. Give the parametric and symmetric equations of the line that passes through the point (4,-3,5)…

A:

Q: Find the arc length of the parametric curve. = 14 cos(t), y = 14 sin(t), z = 48t; 0<t <T

A:

Q: o evaluate the fo

A:

Q: ||r(t) × r"(t)|| ||r"(t)||* Use the formula k(t) to find k(t). r(t) = t°i + t°j K(t):

A:

Q: Given that Vf (3,-3) = 7i- 6j, find the directional derivative of the functionf at the point (3,-3)…

A: Given query is to find the direction derivative.

Q: E. 4.724 FREE RESPONSE Consider the exponential function f(x) = - -)*** – 3 to answer the following…

A:

Q: List all angles (in radian measure) between 0<x<47 2 sin(x) + 1= 0 such that

A:

Q: Σ 2(3n 1) 6n + 4

A: The series is convergentsee below the calculation

Q: Consider the points A(1,-5), B(-1,3) and K(4,-2) in 2D. A. Determine the vector AB B. Determine the…

A:

Q: Activity 1.4.3. For each of the listed functions, determine a formula for the derivative function.…

A:

Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

A: Given problem:- Use Lagrange multipliers to find the maximum and minimum values off subject to the…

Q: 1. Linear equation of order one: dy-(r-2ydx=0

A:

Q: Consider the function f (x,y) = Which ONE of the following statements is TRUE? O A. f (x,y) exists…

A: This is a  problem related to limit and continuity of the function. Based on the general formula we…

Q: Find the mass and center of gravity of the lamina bounded by the I-axis, the line z = 49, and the…

A:

Q: Evaluate the double integral where D is the region bounded бy у %3Dх, у%3D2х, х%3D1, х%3D2- 4ху dA

A:

Q: Find the area of the region enclosed by the curves y=x^2 and y=6x by integrating with respect to y.…

A:

Q: 3. Find the value of c guaranteed by the MVT for integrals for f(x) = cos(x), [-; 3'3 ] over this…

A: f(x)= cosx  , [ -π3,π3]as per MVT for Integrals for a function f(x) bounded and integrable on [a,b],…

Q: x) together 1. Use the graphs of the functions f and g below (and your own graph of the function…

A:

Q: 00 x"+1 has the radius of 5, then the radius of convergence of the If the series >a "n+1 n=1 00…

A:

Q: Given that z=5cos (3x + 3ct) +e*+. Which ONE of the following statements is TRUE? A. a2z dx2 В. д2:…

A:

Q: Use implicit differentiation to find y′ and then evaluate y′ at ​(3​,10​).   4x3−y2−8=0…

A:

Q: 58. y dA y x= y- y³ y= (x+ 1)² -1 -1

A:

Q: CURRENT OBJECTIVE Use related rates to solve problems involving volume Question A tank is shaped…

A:

Q: 1

A:

Q: Find the standard form of the question of the ellipse with given characteristics and center at the…

A: This is a problem related to conics section. Based on the general formula and concept we will…

Q: Find the vector component of v = 21-j+ 3k along b = 31 + 6j + 6k and the vector component Enter the…

A:

Q: The The Mean-Value Theorem guarantees there is at least one value of c on [-3, 3] such that f' (c) =…

A:

Q: The value of Hhe limit lim Š I tan 40n bebow the graph f a fumctuon floc) lon't evaluate is ko Ghe…

A:

Q: Find the general solution of the given differential equation. (* - 9) + by = (x + 3y? v(x) = Give…

A:

Q: Use the first derivative test to find the location of all local extrema in the interval (0, 27) for…

A: answer is in  next step

Q: 1) Sketch the curve. a) r=-2 sin O r = -2 sin O Show All Work

A: Explanation of the answer is as follows

Q: dz Use the chain rule to find when %3D and s=2 t=1· - ds z=3x+4y, x=s³r?, _y=s²

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: f(x) = x²In x + sec x; find f"(x)

A:

Q: 3. Given the parent function f(x) = |x|, write the equation of the function g(x) whose graph is…

A:

Q: tan zdr

A:

Q: 2. Evaluate the definite integral. 4 *7 – 7sin²e do 3cos?e

A: I=∫0π47-7sin2θ3 cos2θ dθ1-sin2θ= cos2θI=73∫0π4 1-sin2θcos2θdθI=73 ∫0π41 dθ