A cylinder is inscribed in a right circular cone of height 12 cm and base radius of 4 cm. Find the largest volume of such a cylinder.

Q: Which equation is represented by the graph in the accompanying diagram? y TC 2T A) y = 3 sin 2x B) y...

A: Given graph:-     To find:- Equation of given graph

Q: 1-3 please!

A:

Q: dy (5) (2х — у) — 2у — х dx

A: Since the student has posted multiple questions and does not mention any specific question, so we ar...

Q: A. B. ET D G. 2.

A:

Q: (12) х4 Яу + 2x3у -1 + 2x3у %3D 1 dx

A: For the solution follow the next step.

Q: Evaluate the integral: 7x/2x² – 5 dx ○ 중(222 -5)1 + O 중(2a22-5)- +C 7 21 o 글(272-5)-++C (2a² – 2 + C

A:

Q: 2 + dx

A: Given :∫5x-3x2+2x4dx

Q: Find the area of the shaded region. y=2 y= 2sin(70x) -2. O 4+4 4 + 8

A:

Q: Find the first derivative or f'(x) of the function below using the techniques of integration f (x) =...

A:  

Q: Graph of f 11. The graph of the function f is shown in the figure above. Which of the following coul...

A: Given that: Graph of f(x)

Q: 2. Given: f(x)= x' +4x? – 2x+9 g(x) — х? +2 %3D h(n+2)= 2h(n+1)– 3[[h(n)]° h(1) =1 and h(3)= 5 f(-5)...

A:

Q: SOLVE the following DIFFERENTIAL EQUATIONS. 1. (1+ cos x)y = sin x(sin x + sin x cos x- y)

A: According to question,Given differential equation,1 + cos x y' = sin x sin x + sin x cos x - y

Q: (1) хdy — ydx — Vx? + у? dx (2) — Зу? — у? sin x dx (3) (x2 + 1)4 — у2 + 1 dy dx

A:

Q: Find the degree, leading coefficients, and the maximum number of real zeros of the polynomial. f(x) ...

A: Topic:- polynomial

Q: If 2 ak = 6 and E bk = 36, find the following values. %3D k= 1 k= 1 n bk E 5ak. E 36 k= 1 E (ax + bx...

A: ∑k=1nak=6 and ∑k=1nbk=36

Q: Please explain the different appearances of the answers

A:

Q: 1 Evaluate dV, where E lies between the spheres x2 + y2 + z2 = 9 and x2 + y? + z2 x2 + y? + z2 36 in...

A: we want to find the triple integral ∫∫∫E1x2+y2+z2  dVwhere E lies between the sphere x2+y2+z2=9  and...

Q: E Sove the differential equations 1. (6x-3y+2) dx = (2x-y-1)dy when X=2, y=7

A: As per our guideline we are supposed to be answer only one question you can repost other questions i...

Q: lim g (y) where, g(y) = Sy? +5 if y -2

A:

Q: SVEV4 + tVE dt

A:

Q: 5. Using the FOUR-STEP rule in evaluating derivatives, find dyldx in each of the functions given bel...

A: Using the Four‐Step rule in derivatives, to find dydx in each of the functionsgiven below.j y=xx-1k ...

Q: Direction: Find the derivative of the function. y = 2e* +e* Select one: O y' = 3 – 2e* O y' = 3e + 2...

A: We know that; The chain rule: fgx'=f'gx·g'x The Power law: ddxxn=nxn-1 Given: y=2e-x+e3x

Q: Given a differential equation rx" +21?x" - tx +x= 1212. Show that +c2t+c3t Int + 41² is a solution o...

A: We need to prove the differential equation.

Q: Create a formula for the sequence Show how you get the -2,0,3,8,15 using the formula Find the series...

A:

Q: Direction: Find the derivative of the function. I+5 w = 2x - 7 Select one: 17 (2г — 7)2 17 (2x – 7)2...

A:

Q: 1. Determine the ORDER, DEGREE and LINEARITY (Yes or No) ORDER DE d² ds t2 - -t=1- sin(t) dt? dt x*y...

A: since we are given with the multiple number of question and our guideline is solve first question on...

Q: please

A: Please refer to the image below

Q: <, y) = )-« lustrate with a sketch. y 4 3 3 2 2 2 1 -4 -3 -2 1 1 2 4 -4 -3 -2 4 -4 -3 -2 /1 -1 -2 -3...

A: Topic:- calculus

Q: Sketch the graph of a possible function that illustrates the combination

A:

Q: For the function given below, find a formula for the Riemann sum obtained by dividing the interval (...

A:

Q: (2) At what point(s) will the tangent line to y = x² – 4x + 3 be horizontal?

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

Q: The radius of a circle is increasing at the rate of 2 cm/min. 1. Find the rate of change of the circ...

A: topic - rate of change of circumference and area of a circle

Q: Given the function g(t) = (t – 1)(t + 7)(t – 5) its g-intercept is its t-intercepts are

A: for g intercept t=0 g(0)=(0-1)(0+7)(0-5)g=(-1)×(7)×(-5)g=35 Hence g intercept is (0,35)

Q: Total profit is defined as total revenue, R(x), minus total cost, C(x), and is given by the function...

A:

Q: Problem 2. Show that as x → 0∞, (1+4)'-- + e. In(1+h) – In 1 = lim h→0 In(1+ h) d In x lim h→0 = lim...

A: We are asked to prove that given

Q: x* In xdr

A: We are asked to evaluate to integral.

Q: - Use the definition of derivative to find the tangent and normal equations of f(x) = (x- 3)2 X-1 %3...

A:

Q: Direction: Find the derivative of the function. y=- -z+ 2e Select one: O y' = 4x? – 1+ 2e" O y' = 4x...

A:

Q: 3-20 Find the limit. x² - 9 3. lim 4. lim + 2x - 3 x - 9 5. lim + 2x - 3 6. lim x² + 2x - 3 31-3 (- ...

A: Solution is given below:

Q: Evaluate: J6e2 -x(x²)dx

A: Find your answer below 

Q: For the given functions, find (fo g)(x) and (g o f)(x) and the domain of each. 1-X f(x) = 4x , g(x) ...

A: topic - composite functions

Q: 4 y = (x +3) Lax-1)

A:   Since you have posted multiple question as per guidelines we can solve only one question at a time...

Q: 2. Given r(t) = et cos t i + e' sin tj + e'k , find the tangential and normal components of accelera...

A:

Q: 1. Find the vector equation, parametric equations and symmetric equations of the line passing throug...

A:

Q: c) f (x) = -(0.75)4x+2 – 5

A:

Q: Find the distance from the plane 4x + 5y + 5z= 28 to the plane 4x+ 5y + 5z = 36. The distance is d =...

A:

Q: In an airplane control problem, an airplane is flying in still air with an airspeed of 275 mph. the ...

A: Let's find. 

Q: Since f(x) is continuous between a and b, the function needs to cross the x-axis. O TRUE O FALSE O n...

A: Given fx is continuous between a and b

Q: Evaluate: cotxdx

A: Given:        ∫cotx dx     =∫sinxcosxdx   substitute u=sin x→dudx=cos x→dx=1cos xdu       =∫1udu

Q: of the rod to the water? 10 ft Figure for 41

A: Question   angle of elevation of  a fish is reeled in a rate1 foot per second from the point 10 fee...