A small funnel in the shape of a cone is being emptied of fluid at the rate of 13 cubic centimeters per second. The height of the funnel is 20 cm. And the radius at the top is 4.15 cm. How fast, in cm/sec, is the fluid level dropping when the level stands 7.57 cm. Above the vertext of the cone

Q: For what value of m is the value x=-1 a zero of the function f(x)=2x^3+mx^2−2x−1. Please show work!

A:

Q: Find the surface area generated by revolving about the x-axis the curve y = 2(15-x)^1/2, from x = 5....

A:

Q: A 12-meter rope is broken in half so that x meters make a circle and the remainder forms an equilate...

A: Topic = Algebra

Q: Find the volume of the solid obtained by rotating the 13 region under the graph of the function f(x)...

A:

Q: Derivatives. Find the derivative of the following functions. Note: It is not necessary to simplify (...

A:

Q: of

A:

Q: dx + 6x = 3yæ y- dy 1 1 x = (x – a²C)³ (y – y²C)³ Option 1 Option 2 1 1 y = (x + x²C)³ x = (y + y²C)...

A:

Q: Use one of the limit definitions to find the derivative of f(x) at x = 2. f(x) = 4x2

A: Explained below

Q: Given R(t) = 4 cos ti + (1+ 3cost)) + 5sintk. Find R'(t).

A:

Q: A small funnel in the shape of a cone is being emptied of fluid at the rate of 14 cubic centimeters ...

A: For the solution follow the next step.

Q: of a drug in a person's system t hours after the drug is administered, when does the drug reach it p...

A: Ct=49.3 t e-0.24t measures the concentration in ngml, of a drug in a person's systemt hours after th...

Q: Match the equivalent expressions. O 1- sin?(0) a. cscʻ(0) O sec?(0) – 1 b. tan (0) - O 1- cos (0) c....

A: The objective is to match the equivalent expressions.

Q: Find the Horizontal Asymptote(s) of f(x) = 1+

A: We have to identify the relative extrema according to the given information and find the horizontal ...

Q: a if r =-1 if 1<x <0 - f(x) = %3D bx2 + C if 0 < x <1 d.x + 4 if 1 <x <2

A:

Q: Find the local maximum, minimum and saddle points of the function using the second derivative test: ...

A:

Q: For the function f(x) = cos(x), write Newton's formula f(xn) F(xn) for solving as xn+1 = = Xn f(x) 0...

A:

Q: Given the curve p(x)=x2+8, find the point on p(x) is closest to the point (3,8). Enter your answer a...

A:

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and indica...

A:

Q: Write a polynomial in standard form that has the following characteristics. leading coefficient: -2...

A:

Q: 3. Determine whether Mean Value Theorem can be applied to f on the closed interval [a,b]. If Mean Va...

A:

Q: Use the formula for the binomial series: 1+ mr + m(m-1) 2 , 2! m(m–1)---(m–k+1). (1 + x)" = + %3D k!...

A:

Q: Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral. c...

A:

Q: y = In(x) In(x)sin(In x) In(x)cos( Inx) y(x) - cjcos(In x) + cysin(In x) cos(In(x)) + sin (In x) x>0...

A:

Q: Siven w = xysin(z*), x=st y =s², zt². Use the Chain Rule to find - ysin z + 4txyzcos z *-- ysin z + ...

A:

Q: The distance (in km) of an airplane departing from Toronto Pearson Airport t seconds into flight is ...

A:

Q: dx а) Зx2 x3 + dy 8(у + 1) — 0 - у+1

A: Based on the general formula of differential equation we will solve the question. First by substitut...

Q: Given the following polar function 16

A:

Q: y=2 x=1+y e) | (2y +5x) dx dy answer: 31 y=0 X=0 1 2x (2ху - 1) dy dx answer: -1 x2 23

A: e) ∫y=0y=2∫x=0x=1+y2y+5x dx dyf) ∫-11∫x22x2xy-1 dy dx

Q: Find the difference between the maximum and minimum of the quantity p2q2/50, where p and q are two n...

A: Given:    p + q = 10    Let f = p2q2 / 50

Q: 3. Use g(x)=e* (x-a) and g'(x) =-2e (x-a)(x-ax-1) to answer the questions. a) Find lim g(x) and lim ...

A: This question is based on Finding limits using L hospitals rule.

Q: What is the value of C when x=y=0? y = 2xy – x O 1 O -1/2 O 1/2 O None of the choices

A:

Q: Find the derivative of the function. h(t) • 6 +9 h'(t)

A: Quotient Rule of differentiation :ddtuv=v.dudt-u.dvdtv2. dtndt =n.tn-1 Chain Rule of differentiation...

Q: How many years will be required for a given sum of money to be 4 times the principal amount, if it i...

A:

Q: dx + 6x y- dy 1 y = (x – a²C)³ (y – y²C)³ Option 1 Option 2 1 1 (y+ y²C)³ (x + x²C)³ Option 3 Option...

A:

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and indica...

A:

Q: Find the value of xg in 3 decimal places (positive root) using Secant Method (8th Iteration) f(x) %3...

A: Let's find. 

Q: Instruction: Answer the following question. х2 — х — 2 lim x→2 х — 2 > Indicate if the limit of the ...

A:

Q: S coslnx dx

A:

Q: A cylinder object has radius 2 cm and height 3 cm. Use differentials to approximate the error estima...

A:

Q: (w - 3x +3)dw + ( 3w + x + 9)dx=0

A: Note:-AS PER OUR COMPANY GUIDELINES WE CAN ANSWER ONLY ONE QUESTION IN CASE OF MULTIPLE QUESTIONS PL...

Q: v((asina/cosa)+lnv)da + tana dv = 0

A: As per bartleby guidelines we are supposed to answer only one question per post. This post contains ...

Q: Evaluate f(x)=5x^4+5x^3+4x^2-2 using synthetic substition to find f(-3). Please show work.

A: Given, f(x)=5x4+5x3+4x2-2 To find f(-3)

Q: EX Use Taylor/Maclaucin's Series to.solve the following Ivps. (2) xycx)-xy)+ yo). -o. y(0)= 2 ýlo) -...

A:

Q: Evaluate the following limit using L'Hopital's Rule if indeterminate. e* – 1 lim x-0 sin(x)

A:

Q: For what value of k will the function g(x)=x^4+kx^2 have a remainder of 20 when divided by the facto...

A:

Q: Convert the Cartesian coordinate ( – 4, – 1) to polar coordinates, – 27 <0 < 0, r < 0. No decimal en...

A: Solution is written in below steps.

Q: If I have a C(t) = 55te^-.3t measures the concentration in ng/ml, what is the peak concentration of ...

A: This question can be solved by applying the concept of maxima and minima.

Q: Starting with the graph of f(x) = 7", write the equation of the graph that results from (a) shifting...

A: Given f(x)=7x

Q: Write an equation for the tangent line to the curve y - x= 2 at the point (1,V3). O A. x-2/3y+5=0 O ...

A: