Use implicit differentiation to find the derivative of: 9. х2 +x Arctany %3D у + 4 (2x+Arctany)(1+y²) у2-х+1 ans. y' = %3D -y 10. у — Arccot (ху) %3D 3 ans. y' = x²y2+x+1

Q: 3. Tarzan Problem Tarzan is swinging back and forth on his grapevine. As he swings, he goes back and...

A:

Q: Consider the equation below. x2 + 9y – 9z? = 0 Reduce the equation to one of the standard forms. Cla...

A:

Q: https://www.zweigmedia.com/RealWorld/calctopic1/contanddiff.htm 8. At which value of x does the grap...

A: From graph  8)There is a removable discontinuity at x=-2 9) There is infinite discontinuity at x=1 1...

Q: A cup of coffee is poured, and the temperature is measured t be 120 degrees Fahrenheit. The temperat...

A: Given initial temperature of the coffee cup is 120 F

Q: Solve log æ = 1 – log(æ – 3). If there is more than one solution, write the numbers in ascending ord...

A: Given that, The equation is following, log(x) = 1 - log(x - 3) we have to find the solution of this ...

Q: Use integration by parts to evaluate the integral:

A:

Q: For f(x) = 3x2+ 8x + 3, find the equation of the tangent line at the following values of a. (a) x = ...

A:

Q: tim X=9 2 メー→3

A: Given query is to find the value of the limit.

Q: Find the derivative. R= (s² + 7)ª R'=

A: I am attaching image so that you understand each and every step.

Q: Find the centroid of the region bounded by the given curves. y = x2,      x = y2

A:

Q: Find dy/dx in terms of x and y if x²y – x – 4y – 9 = 0. dy dx

A: Here we will use the product rule for derivative d(uv)=u.d(v)+d(u).v

Q: 1 3 f (x) 4 9. 12 10 f' (x) 5 4 1 -6 Selected values of the twice-differentiable function f and its ...

A:

Q: 2 4 6 f (x)| -22 -6 2 f' (x) 10 6 2 -2 Selected values of the twice-differentiable function f and it...

A: To determine:

Q: Determine whether the improper integral converges and, if so, evaluate it. (Use symbolic notation an...

A:

Q: Use the Chain Rule to find the indicated partial derivatives. z = x4 + x2y,    x = s + 2t − u,    y...

A:

Q: (3y²-x 0 ;when x = 1, y = 1 2y4

A: This is homogeneous Differential equation 

Q: 3- 2- 1- 1 3 14 -1- Graph of f The graph of the function f is shown above. Let g be the | by g (x) =...

A: Let's find. 

Q: ²y – 2x) dx + (2y sin x - x³ + Iny) dy

A:

Q: A 25-foot ladder is placed against a vertical wall. Suppose the bottom of the ladder slides away fro...

A: Given query is to find the rate are which top of the Ladder is going down.

Q: Given the function y=2x2+12x+16, write this in the form y=a(x-h)2+k and sketch the graph of the func...

A: Here we have to write the function in general form of parabola and then draw the graph.

Q: da Evaluate 2 (16 + x2)*

A: ∫1(ax2 + b)ndx = 12b(n - 1)∫2n-3(ax2 + b)n-1dx + x(ax2 + b)n-1

Q: The base of a 10-ft ladder leaning against a wall begins to slide away from the wall. At the instant...

A: Given:          From the above figure     dxdt=6 ft/sec

Q: Find the local maximum and minimum values and saddle point(s) of the function. You are encouraged to...

A:

Q: 2y 9. . dx x -4 (x+2)? x² -4

A: This question is based on solution of linear differential equation.

Q: Let f be a differentiable function such that f (3) = 2.345 and f' (x) = ln(x² + 1). What is the valu...

A: solution:-f'(x)=ln(x2+1)f(x)=∫ln(x2+1) dxusing integration by partsf(x)=∫1·ln(x2+1) dx=ln(x2+1)∫1 dx...

Q: Find the total area of the shaded region. 1.5- (9.1) 0.5- 4.5 9. 13.5

A:

Q: Find the intervals where the function y=f(x)y=f(x), whose graph is given below, is increasing and wh...

A:

Q: Find the root of the equation x2 - 4 Inx use x, =1.000 Solve by simple iterative method.?

A: We have to find root of given equation.

Q: 5. The depth of water in a port is modelled by the function d(t) = pcosqt + 7.5, for 0 <t < 12, wher...

A:

Q: By how much will the Pound depreciate in period 0? State your answer in the same units as e and to 2...

A: Given Data Money demand in UK MD/P=e(-0.5*i) *Y MS=M I=i_{US}+e^e-e M = 1100 Y = 1956 P = 1 i_{US}=0...

Q: Use traces to sketch the surface. (If an answer does not exist, enter DNE. Select Update Graph to se...

A:

Q: 1. State the Chain Rule: a. z= f (x, y) is a differentiable function and x = s(t), y = p(t) - are fu...

A: Given z=f(x,y) To state the chain rule

Q: 7. (1+x*)dy + x(1+ 4y°)dx =0

A:

Q: Find the cquation of the tangent line to f(r) = 7e-0.2z NOTE: Round any calculated values to three d...

A:

Q: Find the derivative of the given function. y = 3t4 - 4t2 y%3=

A:

Q: 3 2- 1 1 2 3 4 -1- -2- Graph of f graph of the function f is shown abo LO

A: We have to choose the correct answer from the given options according to the given information

Q: Find the derivative of the function. 5. x + 2 y = e y' =

A: The given function,     y=ex7+25

Q: iven Cost and Revenue functions C(q) = q° - 10q + 56q + 5000 and R(q) = - 3q + 2600q, what revenue i...

A:

Q: Use interval notation to write the intervals over which f is (a) increasing, (b) decreasing, and (c)...

A:

Q: handwritten The derivative of the function

A:

Q: Find an equation of the tangent line to the curve at the given point. y = 7x2 - x3, (1, 6) y = Illus...

A:

Q: 12. Sketch a picture of a graph y = f(x) that satisfies f'(-1) > 0, f'(0) = 0 and f'(1) < 0.

A: Follow the procedure given below  

Q: dy for 4xy- 4x+2y - 86, with the conditions dx Assume x and y are functions of t. Evaluate = - 6, x ...

A:

Q: A mixture of calcium oxide, Cao, and calcium carbonate, CaCO 3, that had a mass of 3.454 g was heate...

A: This question is based on given following equation.

Q: f(x) = 1 is discontinuOUs at x=2 because %3D x- 2 A. f(2) is not defined B. lim f(x) is existing C. ...

A:

Q: 4x4 + 3 dx = 4x5 + 15x +2 1 + C 5(4x5+15x+2)² A) ++3x .5 + C 15 - x²+2x 2 (C In 4x + 15x+ 2+ C D) 5 ...

A:

Q: Tr(x)dx = xf="(x) x(f=\Y{x)dx.

A:

Q: Show a complete solution for each item. Determine whether each of the following functions is (a) con...

A: As per the Bartleby's guidelines , We can solve only one question.Please re-post the other question....

Q: Computational: (1) The concentration C of a certain chemical after t seconds of an autocatalytic rea...

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: 6. (3y2-x2" = 0 ;when x = 1, y = 1 y5 2y4

A: The given differential equation is 3y2-x2y5y'-x2y4=0; when x=1, y=1