The radius of a cylinder is measured to be 4 cm and the height of it is measured to be 5 cm. If there is up to a 0.5 cm measurement error, estimate the maximum error of the volume using differentials

Q: If f(x) ƒ'(x) = f'(5) = places) = 3 sin r 3 + cos x then (round to 3 decimal

A:

Q: Find a polynomial P(x)=x3+ax2+bx+c satisfying ALL of the following properties: i) x = -1 is a local…

A: f(x)=x³ +ax²+bx+c f '(x)=3x² +2ax+b It is given f(x) is maximum at x=−1, hence f'(−1)=0 ⇒f…

Q: When a quarter is tossed four times, 16 outcomes are possible. HHHH HHHT HHTH HHTT HTHH HTHT HTTH…

A:

Q: √2, and 4. Let a₁ = V an+1 = √2+ an Vn E N. Show that {an} is a monotone sequence by mathematical…

A:

Q: Problem 1: Given the differential equation (xy+x+y+1) dx + y dy=0 with the condition y(1) = 0: a.…

A: Given differential equation:- xy+x+y+1dx+ydy=0

Q: What is q' (x) when q(x) = ln((x² + 1) (x³ + x² +2))?

A: q(x)=lnx2+1x3+x2+2

Q: 1. Condense. . (a) 32.32 y

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

Q: Find the stope or the tangent line to the curve - 2x² - 1xy + 3y³ = 0 at the point (-4, 2). -18 39 X

A:

Q: The population of a certain city was 299000 in 1998, and the observed relative growth rate is 5…

A:

Q: Differentiate the following function 3 U = ²³² √² + ² + 2 u= +2√+³

A: Derivate with respect to t

Q: Assume that the level surface equation x3+y3+z3+6xyz = 1 defines z implicitly as a function of x and…

A:

Q: A closed cardboard box is constructed from different materials. If the material for the base of the…

A:

Q: Let f(x)=10-th (cosh (x)) Find f'(In 3).

A:

Q: 1. Each of the following limit expressions correspond to a limit definition of the derivative of a…

A:

Q: Let u(t) = 2t³1+ (t²-1)j-8k. Compute the derivative of the following function. (+15+6t) u(t) Select…

A:

Q: 2 9143

A: To solve for x to the following equation.9x2=0

Q: the above graph is the graph of f′(x), then f(x) has a local maximum at x=___, a local minimum at…

A:

Q: Given the differential equation (xy + x + y + 1)dx + xdy = 0 that has a condition of y(lr a. Is the…

A:

Q: The oscillating current in an electrical circuit is as follows, where I is measured in amperes and t…

A: We have to find the average value.

Q: Given: y2 + t2 + (e2y + 2ty)y' = 0, and y(1) = 0, Find: C (constant) O A. 1 OB. 0 O c. 1/2 OD. 1/4…

A: Given y2+t2+e2y+2tyy'=0 and y1=0

Q: icle moves along a horizontal line so that its positions at time t > 0 is given by: = 2t³ - 18t² +…

A: Topic:- application of derivatives

Q: +∞ Y(-1)" In (1+¹) m

A: alternating series test

Q: Evaluate the integral ſ ¹12 da by using integration by parts. If the integral diverges, choose…

A: Integration by parts ∫abuvdx=u∫vdx-∫dudx∫vdxdxab

Q: Solve the differential equation. dy =2x√16-y, -4<y<4 dx :

A: The given differential equation dydx=2x16-y2, -4&lt;y&lt;4 We have to find the general solution of…

Q: d ri(t)= (31,-12+2,1-4) r2(1) = (3e', cos(t), t³-3). eir parametrized curves intersect at the point…

A:

Q: Consider the following. B = {(1, 2, 16), (-1, 1, 8), (-3, 3, 28)}, B' = {(10, 3, 6), (3, 1, 2), (6,…

A: Disclaimer: “Since you have posted a question with multiple sub-parts, we will solve first three…

Q: 9. Determine the intersection (if any) of the following lines: F = (-8,-5,1) + t(1,4,-1) and F =…

A:

Q: 4. A closed cardboard box is constructed from different materials. If the material for the base of…

A: Concept: The slope of a function can be found in its first derivative. The slope of the curve grows…

Q: Given that; f(2)=2, f'(2)=3 g(2)-6, g'(2)=4 Calculate the following (fg) 2 = (f/g) (2)= (g/f) (2)=

A:

Q: 1. Evaluate the following definite integrals using the Fundamental The- orem of Calculus (b)+12+ dr

A:

Q: 8. How many different mixes of candy are possible if a mix consists of 10 pieces of candy and 4…

A:

Q: $ 1 b) y = √√x lad

A:

Q: The radius and height of a right circular cylinder are measured with possible errors of 4% and 5%,…

A: Given ::drr×100=4%dhh×100=5%V=πr2h

Q: Find the unique solution of the second-order initial value problem. y'' +18y = 0, y(0) = − 1, y'(0)…

A: The given differential equation is: y''+18y=0 So, we can also write as; D2+18y=0 The auxiliary…

Q: Use a graphing utility to find the limit. 6 + 7 lim x--7-x

A: limx→-7-6x+7

Q: Let f(x)=-12 arccos (2e) Find f'(In (3)). Enter your answer below.

A: Wee need to find derivative value.

Q: Find the linear approximation for the root by choosing the closest value of x for which the…

A:

Q: Conic, your favorite math themed fast food dri- in offers 26 flavors which can be added to your…

A: Given that there are 26 flavors. 5 flavors to be added in the soda any of the flavors not use more…

Q: Sketch the following curve, indicating all relative extreme points and inflection points.…

A:

Q: Solve the differential equation. dy 2√xy = 1, dx The solution is (Type an equation.) x, y>0

A:

Q: The average price of a two-bedroom apartment in downtown New York City during the real estate boom…

A: Topic - Functions and application of derivatives We are given, p(t)=0.32e0.16t million dollarsp(t)…

Q: The helix of radius R, height h, and N complete turns has the parametrization Nt 2лNt r(t) = ( R =…

A:

Q: Find the local quadratic approximation of √x x = 1, and use that approximation to find the…

A: Given f(x)=xWe are required to findLocal quadratic approximation of f(x)=x at x0=1 Using the local…

Q: Given the differential equation (ysinx-cos²x) dx + cos x dy = 0 a. Determine if the differential…

A:

Q: Consider the following function. t(x) = (x − 4)² + 7 Step 3 of 4: Find two points on the graph of…

A: Given that t(x)=(x-4)2+7-(i)Our Aim is to find two points on the graph of the parabola other thanthe…

Q: f(x) = x²(x

A:

Q: 11. Cards are drawn from a deck of 52 cards with replace- ment. (a) In how many ways can ten cards…

A: Given that cards are drawn from a deck of 52 cards with replacement.

Q: The radius and height of a right circular cylinder are measured with possible errors of 4% and 5%,…

A: Given the radius and height of a right circular cylinder are measured with possible errors of 4% and…

Q: 2²u u Verify that the following function satisfies Laplace's equation, + ax² ay² u(x,y) = 7y (3x² -…

A:

Q: Given: y' + y = y²(cosx - sinx) and y(0) = 2, Find C O A. 0 B. 1/4 O C. 1/2 OD. 3/4 OE. None

A: