Water is poured into a conical container at the rate of 10cm³/sec. The cone points directly down, and it has a height of 30 cm and a base radius of 10 cm. How fast is the water level rising when the water is 4 cm deep(at its deepest point)?

Q: I'y" The expression log| z18 can be written in the form A log(x) + Blog(y) + C log(z) where A = B = ...

A: We can find the answer i.e the value of  A, B & c  as below.

Q: Give the equation of the asymptote (positive slope) of the equation: x² (y-2)² =1. 9 16

A: Given that the equation is        (x2/9) - (y-2)2/16 = 1  Here we have to find the equation of the a...

Q: Consider the following equation. 4x + 3y = 14 Step 2 of 2: Find the equation of the line which passe...

A: Given query is to find equation in of the indicated line.

Q: as, consider the different

A:

Q: Determine whether each of the following functions is (a) continuous (b) differentiable 1. f(x) = x? ...

A:

Q: 2x Use substitution to evaluate the integral dx (x² + 3)°

A: We have to apply rules of integration to solve the problem Power rule: xn =( 1/n+1)(x)n-1

Q: 1. Find the second derivative of the function. 8(x) = 3\/x + e7*In(x)

A:

Q: 2.5.042. Find the derivative of the function. s(t) t2 + 8t-5 %3!

A: Topic:- derivatives

Q: Select all that apply. Solve the following equation; domain 0o sx< 360 3 cot x = V3 120 300 60 240

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

Q: Start at 1. Create a pattern that multiplies each number by 2. Stop when you have 5 numbers.

A: You are asking me to creat a sequence that we can make in many ways. One of them I am showing here.

Q: (y)² = 1-y? 1-x? 2

A: First we take variable separable then integrate it.  Then using given conditions y(1) =1/2 Then we g...

Q: Evaluate the following integrals: dx x In x 2.S da 1+x 1+x?

A: 1. ∫dxx ln x2. ∫1+x1+x2dx

Q: Find the average value of f (x, y) = 4x cos(wy) over the rectangle R = {(x, y) | 0 < x < T, 0 <y < 2...

A:

Q: Does dy/dx= y-2y/x for ln(2xy)=x

A:

Q: Solve the differential equation.

A:

Q: CAlculus in Context #3 Math 113 Chapter 3 How does our understanding of derivatives give us insight ...

A: Hello  According to Bartleby guidelines we are supposed to answer only first question so  for rest o...

Q: One leg of a right triangle is 6 inches longer than the other leg. How long should the shorter leg b...

A:

Q: (x + 4)2. (v- 1)² 1? 36 What are the lengths of the major and minor axes of 16 A Major: 36; Minor: 1...

A:

Q: 2. Acylindrical tank with radius 5m is being filled with water at a rate of 3 m'/min. How fast is th...

A:

Q: 5. csc 4x dx

A:

Q: Graph the function y = 9 – 3cos(50rt) without a calculator starting at t = 0.

A: In order to get the exact graph of the function y=9-3cos(50πt) some points for which calculator is n...

Q: (y+2xy")dx +xdy = 0

A: First order differential equation :           Consider the differential equation                   d...

Q: Find the unit vector having the same direction as v = (1, - 3). %3D 1 3. V 10 V10 10 V10, 3. O (1, 1...

A:

Q: X+ 4x + 3

A: Given query is to eveluate the integral.

Q: Solve the following problem related to function. (Show your solution) 4. What is the equation of the...

A: Given, fx=x+1 We have to write the equation of the graph of a function when fx=x+1 Vertically stret...

Q: sin(Tx lim x + 12 In(x – 11) - (Use calculator and write your final answer in the given box)

A:

Q: A yam is put into a hot oven, maintained at a constant temperature of 200'C. At time t = 30 minutes,...

A:

Q: r (t) = -li+ (9 cos(t)) j+ (9 sin(t)) k

A:

Q: dy for: (x + y) = x – y + 8 da 1. Find 2. If a ball is thrown vertically upward with a velocity of 8...

A:

Q: Determine the arc length L of the curve defined by the equation y = In(6x) over the interval 1 < x <...

A:

Q: Simplify the following expression using trigonometric identities. Your final answer must be a single...

A: Given query is to find simplified term for the expression.

Q: Write 58e" 0.64r in the form 58b" and interpret the value of b. Round b to four decimal places. 0.64...

A: Topic:- exponential growth function

Q: Prove the following identities. sin 2x csc x =

A: Topic:- trigonometry

Q: (v-8)2 + 36(x + 1)2 = 4? What are the coordinates of the center of the ellipse (A C(1, – 8) B C(-8, ...

A:

Q: Determine the standard equation of the ellipse that satisfies the given properties: center at the or...

A:

Q: n hired at a new job selling jewelry, you are given two pay options: on A: Base salary of $15,000 a ...

A: Given query is to find the amount of sale so the option A will be batter 

Q: Use the table below to find dx [f(x) + g(x)] |x=3 1 2 4 f'(x) g'(x) 4 1 5 3 1 4 2 d [f(x) + g(x)] (T...

A:

Q: 13. Find the solution set of c) 2x? – 3x – 4| < 5 Зх — 4| <5

A:   The given inequality is 2x2-3x-4≤5. Absolute Rule: If x≤a, a&gt;0 then -a≤x≤a.

Q: 35. Give linearly independent functions that are annihilated by D² (D² – 2D + 10).

A: We will find roots for the equation and use concept of differential equations to find the linearly i...

Q: The nice little graph you see here is the graph of the polar equation r Compute the area enclosed by...

A: Given: - The graph of the polar equation r=sin3θ and the nice little graph is, To find: - The area ...

Q: 2-4 (2+4) Ba+C True or false? can be put in the form Explain. 2+4

A:

Q: Select all that apply. Solve the following equation; domain 0° g x< 3600; 4 sin?e = 1 M 30 210 V 330...

A:

Q: 8x+1 Evaluate f dx using algebraic substitution V4x-3

A:

Q: 7. SV103% dx

A:

Q: Write the equation of a conic given by x2 – 9y2 + 2x- 54y-80=0 in standard form. (x+ 1)² (y+3)? 162 ...

A: The objective is to write the equation of conic in standard form. 

Q: 3 т2 dm )2 т3-2

A: NOTE: Refresh your page if you can't see any equations. . ...............(1) substitute ...........

Q: Sun. Mon. Tues. Wed. Thurs. Fri. Sat. number of births 13 24 19 25 15 21 15 probability...

A:

Q: 19. DETAILS LARAPCALC10 2.6.030. Find the higher order derivative. f"(x) = 6x2 + 3x - 14 %3D F(5)(x)...

A:

Q: Transform the polar equation ?r = 5 cos(0) to an equation in a and y.

A:

Q: Create a question covering Inequality (quadratic)

A: quadratic inequality