25) lim f(x)= 26) lim f(x) 27) lim f(x) = 28) f(-6)=

Q: Question A1 Given the vectors u = (-1,0,1), v= = (1, 3, 2), find the dot product of u and v, and…

A:

Q: dy x dx + y = x²y² ln x dx

A: Given Equation:- xdydx+y=x2y2lnx

Q: Rewrite sin 2 tan -IW 4 as an algebraic expression in w.

A: Given: Sin2tan-1w4

Q: 1 (x - 1)√4x² − 8x +3 - dx

A:

Q: Question 5 What is the instantaneous rate of change at x = 1 of the function f given by f (x) = ? 1…

A:

Q: The amount A (in g) remaining of a radioactive substance after time t (in years) is found by solving…

A:

Q: 2- A particle in rectilinear motion is defined as s(t) = cos(21) - In(t) for t> 0 seconds, where s…

A: We have to find rate of change in position.

Q: 05 If(x+p) is a factor of both a2 +16a +64 and 4x2 +37+k, where p and k are nonzero integer *…

A:

Q: Let f(x) = x³ 3x². - Find the absolute maximum value of f(x) on the interval [1,4].

A: Let's find absolute maximum value of given function.

Q: QUESTION 2 x Evaluate the improper integral (²+1² dx.

A:

Q: Find the solution of the given ODE a. 2x³-7xy² = C b. x³ +7x²y = C c. 3x²14xy² = C d. 3x² + 14xy² =…

A:

Q: Let x) What types of asymptotes does fx) have? horizontal asymptote vertical asymptote oblique…

A:

Q: I was looking for help on #46, not #45

A:

Q: Find the equation of the tangent line to the function f(x) = ln(3x) at x = 8. (Use symbolic notation…

A: To find the equation of the tangent line to the function fx=ln3x at x=8.

Q: calculations he was startled at the results. He was sure that a ghost has haunted his calculator and…

A: Use logarithmic property

Q: Ash deposits $1500 at the end of each month for 5 years in an account that earns 5.7% per year…

A: Solution- Given R=$1500 Rate(r)=5.7% or 0.057 Time(t)= 5 year n=12(compounded monthly)   Formula is…

Q: Write an equation for a line perpendicular to y = y = 5x + 2 and passing through the point (15,4)

A:

Q: Duw or Ow 88 Ow Ot W= 3r² + 48² +5t²

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: (a) (b) (c) How many seconds does it take for the target to reach its maximum height? Round your…

A: A disc‐shaped target is launched straight up into the sky. The target's height h in meters above the…

Q: What is the general solution of the given ODE dy dx a. cot(x-y + 1) + x + 1 = C cot(x-y+1)-x-2y + 1…

A:

Q: The price of an item last year was $1.35. This year, the price of the same item increased to $1.69.…

A:

Q: Find an equation of the plane through (-7, 6, -2) that is perpendicular to the planes 5x - y + z = 3…

A:

Q: Use part one of the fundamental theorem of calculus to find the derivative of the function. g'(x) 11…

A: To find the derivative of given function

Q: Question 7 30 cm (b) Show that sin0 = P VZ4 0° 42 cm Figure 1 36 cm NOT TO SCALE Figure 1 shows the…

A: Given:

Q: 03 * The following is a graph of f'(x). At which value of a does f(x) have a maximum? y=f(x) -2 -4…

A:

Q: a) Evaluate the limit of the function your reasoning. b) sin(x) - - X x³ Find any points on the…

A:

Q: find the derivative, f '(x) of  f(x)=4x+2

A: The given function is: f(x)=4x+2

Q: 1998 Σ n=1 1 (4n – 3)(4n + 1)

A:

Q: Find the gradient of the function at the given point. g(x, y) = 12xe/x, (9,0) Vg(9, 0) =

A: given  g(x,y)=12xeyx   given point is  (9,0)formula for gradient is…

Q: Selected values of f' and f", where f is a twice-differentiable function, are shown in the table. X…

A:

Q: Evaluate the double integral, where R is the rectangle [0, 2] × [−1, 0]. √√₁₂ (x²y² + x) dy dx

A:

Q: Solve the equation cos=-for 0° << 360°. You may use a diagram involving a special right angle to…

A: Given:- cosθ=-12

Q: Functions x, y, and z are differentiable with respect to time and are related by the equation y=…

A: Topic = Derivative

Q: SKETCHPAD Question 17 In the space below, solve the equation 5* −3 = 4x+1

A: Given: 5x-3=4x+1

Q: A. Does the sequence {a} converge or diverge? en-e-n (en+e-n) 1) an = 2) an = (√n² + n) - n

A:

Q: Use the graphing utility to plot y = 4 - |x|. y = 14 12 10- -8- CO 6 -4- 2 + I EX

A:

Q: Question A9 Cπ/2 Evaluate -π/2 JO Question A10 (2² cos 2y + 3y²³ sin x) dr dy.

A:

Q: cos (2 sin ¹w) Rewrite cos w) as an algebraic expression in w.

A:

Q: How far from the y-axis is the centroid of the area bounded by the curve y=x^3, line x=2 and the…

A:

Q: Find the volume generated when the area bounded by the curve y=x. from line x=1 to x=4 is rotated…

A:

Q: Given the function f(x)= e^x/(1+2x)^2, compute f’(1).

A: Given the function f(x)=ex(1+2x)2, compute f'(1).

Q: Find the limit || (Enter 'DNE' if the limit does not exist) lim (z,y) →(-35,5) xy cos(x + 7y)

A:

Q: If a company has total costs C(x) = 30,000 + 25x + 0.2x² and total revenues given by R(x) = 585x -…

A:

Q: The average price of a ticket to a baseball game can be approximated by p(x) = 0.03x² +0.57x +9.01,…

A:

Q: n 1992, the moose population in a park was measured to be 3790. By 1998, the population was measured…

A: given  in 1992 population is  3790  and in 1998, population is 5050given  population continuse to…

Q: The following equation represents a sphere: x² + y² + z² = 1. Which one of the following is the…

A:

Q: A recipe calls for 2/3 cup of flour. After measuring enough to triple the recipe, Sara divided the…

A: We can find the required answer in the below steps.

Q: Find the fluid force on the vertical side of the tank, where the dimensions are given in feel.…

A:

Q: Use the chain rule to find where First the pieces: |||| End result (in terms of just t): z = x²y +…

A: By using chain rule to find dzdt,  where,  z=x2y+xy2, x=-2-t5, y=2-t3

Q: Prove the identity. sin x+ E|N 2 sin (π-x) || cotx

A: