Differentiate y = arctan(2). y' =

Q: Helium is pumped into a spherical balloon at a rate of 4 cubic feet per second. How fast is the…

A:

Q: ntegral Calculus - Plane Area 1. Find the area in the first quadrant enclosed by y = (x2 + 4)/x2, x…

A: Topic = Area

Q: Find the equation of the line tangent to the given curve at x =a. Use a graphing utility to graph…

A:

Q: 1. Test the series for convergent or divergent. 8 √k 2k + 3 Σ(-1)*, k=1

A:

Q: If t= -pi, evaluate (if possible) Part 1. sin (t) Part 2. cos(t) Part 3. tan(t)

A:

Q: If then f(x, y) = 4x²+8y³ – 5sin(8xy) - fx (0, π) = -5 • Ignore "Give your reasons" below. There is…

A:

Q: x+y+z = -3 -7 2x - 2y-z = −7 -3x + y + 5z = 5

A:

Q: The demand function for a Christmas music CD is given by q= D(p) = 0.25 (225 - p²) where q (measured…

A: As per bartleby guidelines we only give first three questions answers. Please repost for other…

Q: If the population of squirrels on campus t years after the beginning of 1855 is given by the…

A: Givens(t)=40001+21e-0.95t   We need to find t when s(t)=3600

Q: You and your friend are shopping at the the nearby Target store. You spent 78 dollars on 3 pounds of…

A:

Q: Given the graph of f(x), sketch an approximate graph of f'(x). 3) 66 +4 -2 AH ++ Af(x) HT

A: According to guidelines, we can solve only one question at a time. If you need help with other parts…

Q: If 11+2 f(x) + x²(f(x))³ = 0 and f(3) = -1, find f'(3). f'(3) =

A:

Q: f(x) = 6e9x³-9x

A: Given    find first derivative

Q: Suppose s=1³-91²+241-5 (meters) is the position of a particle at any time t (seconds). Determine the…

A: Concept: The velocity vector is given by the derivative of position vector v(t)=s'(t) Where v(t) is…

Q: Find the general solution to the homogeneous differential equation dy + 12 +36y = 0 dt The solution…

A: Given differental equation:- d2ydt2+12dydt+36y=0

Q: The volume of a solid bounded by the equations z=x+4, y=4-x², y=3x and the x-y plane is given by the…

A:

Q: x+y=z=4 Solve the system of linear equations using Gaussian matrix x=y+z=2 (2x-y-z = -3

A: Given:

Q: y"+lly'+24y = 0 X(0)=0 y'(0) = 7

A:

Q: A starting principal of $8000 continuously compounds for 9 years, resulting in an acquired amount of…

A:

Q: Which of the following differential equations most likely represents the given directional field? a.…

A: The answer is in step 2.

Q: Express the location of (8, -2,-2), given in Cartesian coordinates, in spherical coordinates. Round…

A:

Q: Concept check: Evaluate the following integrals: ¹.ſ- dx (6-x²)z NIVE

A:

Q: Use the table below to find X f'(x) g'(x) 1 2 1 [1.3f(x)] |x = 5 = 253 1 [1.3f(x)] dx 3 4 1 2 لی اند…

A:

Q: Write an equation for a rational function with: Vertical asymptotes at x = -1 and x = 2 x-intercepts…

A: Given: vertical asymptote at x = -1, x = 2 x-intercepts at (-2, 0) and (-3, 0) Horizontal asymptote…

Q: Find the first derivative f' and the original function f. /' ( - ) = ¹¹ / ( - ) = ( 11, f"(x) =…

A:

Q: reference and terminal point of 13pi/4

A: reference angle - angle between terminal arm and x axis let θ = 13π4

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

A:

Q: factor the polynomial f(x)= x4-7x3+9x2+27x-54 given that 3 and -2 are zeros. then identify all real…

A:

Q: 8. a. b. Let s(t) 6t³ - 45t² + 72t be the equation of the position of a particle. Find a function…

A: As per Bartleby guidelines we're supposed to answer only 3 subpart of a question .  This question…

Q: Divide the polynomial using long division (²-4)= (x + 4). √2+ ✓ + √√(2 √(x + 4)

A:

Q: Consider the following table, which shows a data set relating the number of full days hikers spent…

A: First we find the   regression line

Q: 2 32 4 5 Graph equations 1-4 on Desmos. Use the graph to complete the other parts of the table.…

A: We know that graph of y=ax2+bx+c is a parabola , it opens upward if a>0 and downward if a<0.…

Q: The marginal cost of the xth box of light bulbs is 10 + C(x) = [In(x + 1)] (x + 1)² 7 and the fixed…

A:

Q: a. Find an equation of the tangent line at x = a. b. Use a graphing utility to graph the curve and…

A:

Q: Write the capital letter E if the differential equation is exact and if NOT exact solve for the…

A: Write the capital letter E if the differential equation is exact and if NOT exact solve for the…

Q: dr d.t Let A be the area of a circle with radius 7. If d.A 3, find when r = 1. dt

A: We can solve this as follows:

Q: Use the vectors N = 3x - 2y + 12 and M = -1x + 3y + 12 to answer the following questions: A. What is…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: If the following series converges, compute its sum. Otherwise, enter oo if it diverges to infinity,…

A:

Q: cab ride costs $1.70 plus $0.10 per tenth of a mile traveled if you use the Green Cab Company. The…

A: Given query is to find the distance when both company cost same.

Q: I want to know why the absolute minumum value is -6.35.

A: Let's solve for absolute minimum value.

Q: 8 A communication signal is given by the function sint t The task is to: y=- a) Derive and equation…

A: To find the derivative of given function

Q: 6. Find the volume of the region bounded above by the paraboloid z = 9-x² - y², below by the…

A:

Q: Let y = = (x³ - 7x) ¹(x) . Find dy/dx using the method of logarithmic differentiation. Answer:

A: Let's find dy/dx by using logarithmic differentiation.

Q: -4 3 ƒ'(2) -1 = 5 4 3 2 1 Use the graph of f(x) above to estimate the value of f'(2). Hint: You may…

A: If we draw a tangent at point x=2 , then we get line which is passing through the points (4,0) and…

Q: (D² -3D +2)y= (1+ex)-¹

A:

Q: = x² + 2y¹ - 8xy. = Let f(x, y) List the critical points: The critical point at the origin is a…

A:

Q: Find the exact values of the six trigonometric ratios of the angle in the triangle. sin(e) = 0.28…

A:

Q: If the angle is in standard position and P(x, y) is a point on the terminal side of 8, and r is the…

A: If the angle θ is in standard position and Px, y is a point on the terminal side of θ, and r is the…

Q: Similarly, to find the slope of the secant line passing through P(−2, 4) and Q(−2.5, 3.75),…

A:

Q: (1) Find the summation of the series +++++

A: