Suppose that f(1, y) = 2z² + 2y – zy Then the minimum is

Q: 5. Use Linear Approximation to estimate e(-0.01). Show work

A: answer is in next step

Q: Find the area of the region that is enclosed between y = 6x² – 2³ + ¤ and y = z² + 5z. The area is

A:

Q: The half-life of Palladium-100 is 4 days. After 20 days a sample of Palladium-100 has been reduce to…

A: To find the mass.

Q: 4. How much should be deposited in an account paying 7.5% interest compounded quarterly in order to…

A: Compound interest

Q: 9. Find the vertical and horizontal asymptotes of the function. X-8 f(x): х2 — х — 6

A:

Q: The equation y = log(x – 5) has a vertical asymptote at: - X =

A: Consider the equation  y=logx-5

Q: ,11,,11 x"yll The expression log can be written in the form 24 A log(x) + Blog(y) + C log(z) where A…

A: logmn=log(m)-log(n) log(m.n) =log(m)+log(n) logmn =n log(m)

Q: "(x) If t(x) = Vx find ť'(x)" -2x O 2x -1/2x O 1/2x O None of these O o o o

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 5. The cost C (in dollars) of producing x units of a product is given by the following. C= 3Vx + 400…

A: Use derivative for finding the marginal cost .

Q: Problem 4 Use the rules of differentiation to to find the derivatives of the function (a) f(x) =7–…

A:

Q: The solid shown in figure consists of cone of radius (r) and height (h) and a hemisphere of radius…

A: Given : h(t) = 2t2-6 (cm)              r(t) = 8-t2 (cm)                t= 2 sec

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

A:

Q: near First – Order Differential Equation (Integrating Factor) 1 dy x dx 2y 5. Find the general…

A: Topic:- differential equations

Q: dy Find dt y = (21+ et) In t dy %D dt (Type an exact answer.)

A: To find the derivative of following function

Q: dx (9 – 4.x²)³/2 2,3/2

A: Use substitutions to make it more simple

Q: Jse symmetry arguments or similar to find the total charge in sphere of radius Rothat has charge…

A:

Q: Find the indicated derivative and simplify. 2x - 4 y' for y = 2 + 8x %3D

A:

Q: olve the triangle. 95 a-6 b- 4 Select the correct choice below and, if necessary, fill in the answer…

A: Here is the solution

Q: Find the interval of convergence for the follov ing power series E(coth n)x" n=1

A:

Q: A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular…

A: Here we have to use the concept of derivatives.

Q: y =1+6.x% Osrsl for Find the exact length of the curve

A: Length of the curve

Q: Write the composed trigonometric function sin (arctan x)sin (arctan x) in terms of x. Explain your…

A: In this question we have to find the function in terms of x.

Q: Find the third Taylor polynomial for f(x) = sin(2x), expanded about c = n/6. %3D

A:

Q: Find parametric equations for the line that is tangent to the given curve at the given parameter…

A:

Q: Problem 12 Find the following indefinite integrals (a) S(9x² + 8x +3)dr (b) S(x-4 – 9/I)dr (c)…

A:

Q: L Find the point/s of intersection of each of the following figures given below, draw the element…

A: The region is bounded by the curve y=x2+2 from x=0 to x=2

Q: Find the critical point of the function f(x, y) —7- 5х — бх?+ 5у — 4у? This critical point is a:…

A:

Q: dy without first solving for y. dx Use implicit differentiation to find y? 1 36 36 dy dx At the…

A:

Q: Pydx + x(2 + x²y) dy = 0

A: Topic:- differential equations

Q: du Identify u and dx - for the integral u du dx. dx u = du dx

A:

Q: v(x² – y + x)dx + (x² – 2y) dy = 0 %3D

A: Topic:- solution of differential equation

Q: The area of the region that lies to the right of the y-axis and to the left of the parabola æ = 2y –…

A: topic- Area bounded by curves

Q: - Find the Linearization of f (x) = sinx at a 5. Provide your answer as L(x) =? %3D %3D

A:

Q: 2. A boat is being pulled into a dock by a rope attached to it and passing through a pulley on the…

A:

Q: Find the indefinite integral. Check your result by differentiating. (Use C for the constant of…

A:

Q: The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x = x =…

A: P(x) has roots of multiplicity 2 at x=1 so (x-1)2 is a factor of P(x).  P(x) has roots of…

Q: A power representation of the function f(r) = for -1<r<1i %3D 1+z Select one: 00 8n n-0

A: Given Rewrite where  a = 1

Q: Calculate the volume of a cylinder inclined at an angle 0 = 30° whose height is h = 9 and whose base…

A: Solved below.

Q: At low altitudes, the altitude of a skydiver and time in the air are linearly related. A skydiver…

A: At low altitudes, the altitude of a skydiver and time in the air are linearly related. A skydiver…

Q: Use the graph of F, shown on the right, to find the given limit. When necessary, state that the…

A:

Q: 1. An airplane is flying towards a radar station at a constant height of 6 km above the ground. If…

A: Given:  Data is given

Q: Find the following for the vectors u = 6i + 3j + /2k and v = - 6i – 3j – /2k. a. v•u, Įv], and Ju|…

A: We will solve the problem on vector dot product and projection.

Q: 13. The distance s, in metres, fallen by a skydiver t seconds after jumping (and 160(:1 – 1 + e-5.…

A:

Q: 6. Two triangles can be formed using the given measurements. The other measurements of the triangle…

A: For other triangle m∠B=180-55.092=124.908°m∠C=180-124.908-41=14.092

Q: x = 2 + 5 cos t Consider the parametric equations for 0stsa. y = 8 sin t

A:

Q: A) Find f(x + h) and SIMPLIFY. f(x + h)%3D B) Find f(x + h) - f(x) and SIMPLIFY. f(x+ h) - f(x) =||…

A:

Q: x+6 lim 2. X6 X -36

A:

Q: x+729 If k(x) = complete the table and use the results to find lim k(x). X+9 X-9 -9.1 -9.01 -9.001 -…

A: Using L hospital rule find limit

Q: Write a in the form a = a-T+aNN at the given value of t without finding T and N. 3 (5 e'V5)i+…

A:

Q: 6. Calculate the locations of maximums and minimums of the following functions: Show work in…

A: