Evaluate the limit. Use L'Hospital's Rule where appropriate. If there is a more elementary method, use it. If L'Hospital's Rule does not apply, explain why. (1) lim 0←x sin(2x) – x² tan (3x) 2ex x→∞ 1 +5ex (3) lim (2) lim U →∞ 3u² 2u + 100 7- 2u²

Q: The velocity function, in feet per second, is given for a particle moving along a straight line.…

A:

Q: 08 n=1 (-1) 凯

A: Consider the series

Q: Use Simpson's Rule to determine the average temperature in a museum over a 3-h period, if the…

A: The temperatures (in degrees celsius), recorded at - min intervals

Q: Determine whether the degree of the function is even or odd and whether the function itself is even…

A: Determine whether the degree of the function is even or odd and whether the function itself is even…

Q: vnd line directional derivative of the function f(x,y)=In (1+x² + y²) where u= 0√10+2√√10x 10+…

A:

Q: Find an equation for the conic that satisfies the given conditions. hyperbola, vertices (-3, -3),…

A: Vertices : Comparing this with Vertices : We get, ......(i) ......(ii)Adding both equations Putting…

Q: Find the absolute maxima and absolute minima of the function f(x) Answer: The absolute maximum…

A:

Q: Let P(h) = 23 exp(−1.1h) where we are using "exp" to denote the exponential function with base e.…

A: The function is given byTo determine: The approximate value of the rate of change in  at

Q: The demand function for a certain commodity is given by p = 100e-9/2. (p is the price per unit and q…

A:

Q: Given y = u3 + 2u,where u = 5 − x2, find dy/dx by the chain ru

A: Here we haveTake the derivative with respect to u

Q: USE THE LIMIT COMPARISON TEST TO DETERMINE WHETHER &an- CONVERGES OR DIVERGES n=14 = CHOOSE A SERIES…

A:

Q: = 3xe 2 on the interval [-3,3]. , and the maximum value is y Find the global maximum value of f(x) =…

A:

Q: Find all the values of x such that the given series would converge. • (5)” ng n=1 The series is…

A: The given sereis is

Q: Which is a rule for a quadratic function represented by a parabola with a vertex at (-1,-3) that…

A:

Q: Convert the point from cylindrical coordinates to spherical coordinates. (6,2,0) (p, €, p) =

A:

Q: If cos x = 4/5, csc x < 0, then sin 2x cos2x = tan 2x

A: Cosx=4/5 ,cscx&lt;0

Q: vergence. Given the series n=1 1 √n +3 explain why the integral test would be proper test to use to…

A: Then, we need to find the series is convergent or not

Q: 64. lim X18 x - √x² + 4x - 65. lim (√x – 2 – √x – 4 x18 66. lim x² In x48 os 1) X COS

A:

Q: 20,000eY |x| 5 xy-plane, where x and y are measured in centimeters, find the total population of…

A: Given that the populaton density function

Q: Given the function g(x): = 3x - 2 X 2 a) Find the interval on which g(x) is increasing/decreasing;…

A: As per the company's guidelines, we are supposed to answer the first three sub-parts for you, Kindly…

Q: Find the equation of the line tangent to the graph off at the indicated value of x. f(x) = 9+4 Inx;…

A: Given,

Q: Given the vectors -1 ā= (ể), i=( %), z=(0, 0, 1), d= (2). 22 2 232 compute the following quantities.…

A: Consider the vectors

Q: The graph of f is shown in the figure. y 8 7 6 5 4 3 2 1 (a) Evaluate 1 9 [₁ 2 f(x) dx. 3 4 5 6 7 co…

A:

Q: The value of c that satisfies the Mean Value Theorem on the interval [0, 5] for the function f(x) =…

A:

Q: Let f (x) = x - 1 and g (x) = x² (x + 1). Evaluate Se 3 + dx f(x) g(x) You must show all steps.

A: Integration of e-3x+f(x)/g(x)Where f(x)=x-1,  g(x)=x2(x+1)

Q: USE THE INTEGRAL TEST TO INFINITE SERIES IS M& 1=1 n から DETERMINE WHETHER THE IS CONVERGENTO Fill in…

A:

Q: The function f(x) is graphed below. How many points on the graph represent a relative extreme value?

A: we need to write down the points where the relative maxima or minima occurs.

Q: DECIDE WHETHER THE GIVEN SEQUENCE OR SERIES IS CONVERGENT OR DIVERGENT. IF CONVERGENT, ENTER THE…

A:

Q: f(t) = 2t³ + 3t2 - 36t

A:

Q: Find two unit vectors orthogonal to a = (-5,-4, 5) and b = (-2,0,4) Enter your answer so that the…

A:

Q: Suppose that f(x) = g(h(x)). In each part, based on one of the functions provided, find a formula…

A: Given: (a) If , then to find .(b) If , then to find

Q: Find all the values of x such that the given series would converge. 8 xn n=1 (6)" (√n+7) The series…

A: The given power series .The aim is to find the interval of convergence of the power series.

Q: Oil has spilled in the ocean. The volume of oil in a spill in the shape of a cylinder of height 6…

A:

Q: Let lim g(x) = -5_and_lim h(x) = 9 x→4 Determine the value of the limit lim [g(x) — 9 ]² x-4 Enter…

A:

Q: (d) This graph is a lemniscate π/2 1 2 3 4 5 6 I with equation 0

A:

Q: Can I get the answer written more clear

A: Greenhouse gas emission level in 2020 = 56440 MTCDE

Q: A product is introduced to the market. The weekly profit (in dollars) of that product decays…

A:

Q: Find the critical numbers of the function. (Enter answers as a comma-separated list) g(y) =  y − 5…

A: The function is given byTo determine: The critical number of the function.At the critical point, the…

Q: Find F '(x). F'(x) = F(x) = 14 3 √ sin(x) 7 √t dt 0 -sin 3 2 dt

A:

Q: Oil has spilled in the ocean. The volume of oil in a spill in the shape of a cylinder of height 5…

A:

Q: Simplify the expression to a + bi form: (−8+9i) (12+ 10i)

A:

Q: Find the inflection points for the function f (x) = 8x - sinx, ≤ x ≤ 7 < O (π, 8π), (2π, 16T + 2) ○…

A: The given function is  ,

Q: Find the slope-intercept equation of the tangent line to y = In 4x at x = and x = 44 +,10

A: to find the slope-intercept form of tangent lines to y=ln(4x) at x=1/4 and at x=e/4

Q: series converges b) absolutely and c) conditionally 72=1 (n + 1)(2x + 1)n (2n + 1)2n

A:

Q: 1. a. C. Find the intervals on which the curve is concave upward or concave downward and state the…

A: To determine the intervals on which the curve is concave upward or concave downward and find the…

Q: Let f(x) = √6-x The slope of the tangent line to the graph of f(x) at the point (2, 2) is The…

A:

Q: Consider the following Linear Programming Problem: Jason's House of Cheese offers two holiday cheese…

A:

Q: 5. Evaluate the following expressions: A. (10+j6) + 10 Z-30 - 10/30 5 - j10 j4 B.62 - 120 + C. 10+j5…

A: Since you have posted a question with multiple sub-parts, we will provide the solution only to the…

Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

A:

Q: + 3x2 C2 ++ C1 2x1 + || || 9 8

A: According to Bartleby answering guideline, we can answer only first question from multiple question.…